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8-K - CURRENT REPORT - PROGRESSIVE CORP/OH/d8k.htm

Exhibit 99

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Preface

The artwork1 on the cover of The Progressive Corporation’s 2011 Report on Loss Reserving Practices represents the additional DCC Age segmentation that we did this year. In addition, the color green represents the Energy Saving initiative that we took on as a company and made a conscious decision to reduce our carbon footprint.

The primary purpose of this report is to help interested stakeholders better understand our loss reserving process and how it affects our financial results. Reserves in this report refer to loss and loss adjustment expense reserves.

The 2011 Report on Loss Reserving Practices is very similar to the 2010 report. However, we updated financial information throughout the report, and we included our latest process enhancements in Section V.

As the Appendix is a separate document, you can electronically link to it anywhere that you see the blue underlined word: Appendix.

Consistent with Progressive’s culture of self-examination, our analysis of loss reserves demands continuous change and continuous improvement. Each section of this report focuses on a different aspect of our reserving process.

 

   

Section I provides an overview of our financial objectives and results, and explains why accurate reserving is important

   

Section II defines reserve development and describes how it affects our financial results, and how historical results compare to our goal of having total reserves that are adequate and develop with minimal variation

   

Section III defines the types of reserves, how they are related and how we analyze them

   

Section IV describes how and why we estimate our required reserves by segment

   

Section V presents the process enhancements we introduced in 2010

   

Section VI defines many of the terms we use throughout the report

   

Sections VII and VIII in the Appendix present two case studies of segment reserve reviews – one for loss reserves and one for Loss Adjustment Expense (LAE) reserves, including discussion of the issues we consider and the calculations involved

The 2011 Report on Loss Reserving Practices was revised by Brian Stewart, Rachna Patel, Elias Berbari, and Gary Traicoff. Despite the technical nature of our reserve analysis, we strive to make this report as accessible and understandable as possible to a wide audience. We welcome your comments so that we may continue to enhance it. Comments and questions should be directed to Al Neis, Corporate Actuary or Gary Traicoff, Actuarial Manager, at The Progressive Corporation, 6300 Wilson Mills Road, Mayfield Village, Ohio 44143 or e-mailed to al_neis@progressive.com or gary_traicoff@progressive.com.


Safe Harbor Statement Under the Private Securities Litigation Reform Act of 1995: Statements in this report that are not historical fact are forward-looking statements that are subject to certain risks and uncertainties that could cause actual events and results to differ materially from those discussed herein. These risks and uncertainties include, without limitation, uncertainties related to estimates, assumptions, and projections generally; inflation and changes in economic conditions (including changes in interest rates and financial markets); the financial condition of, and other issues relating to the strength of and liquidity available to, issuers of securities held in our investment portfolios and other companies with which we have ongoing business relationships, including counterparties to certain financial transactions; the accuracy and adequacy of our pricing and loss reserving methodologies; the competitiveness of our pricing and the effectiveness of our initiatives to retain more customers; initiatives by competitors and the effectiveness of our response; our ability to obtain regulatory approval for requested rate changes and the timing thereof; the effectiveness of our brand strategy and advertising campaigns relative to those of competitors; legislative and regulatory developments, including, but not limited to, health care reform and tax law changes; disputes relating to intellectual property rights; the outcome of litigation pending or that may be filed against us; weather conditions (including the severity and frequency of storms, hurricanes, snowfalls, hail, and winter conditions); changes in driving patterns and loss trends; acts of war and terrorist activities; our ability to maintain the uninterrupted operation of our facilities, systems (including information technology systems), and business functions; court decisions and trends in litigation and health care and auto repair costs; and other matters described from time to time in our releases and publications, and in our periodic reports and other documents filed with the United States Securities and Exchange Commission. In addition, investors should be aware that generally accepted accounting principles prescribe when a company may reserve for particular risks, including litigation exposures. Accordingly, results for a given reporting period could be significantly affected if and when a reserve is established for one or more contingencies. Also, our regular reserve reviews may result in adjustments of varying magnitude as additional information regarding claims activity becomes known. Reported results, therefore, may be volatile in certain accounting periods.


Table of Contents

 

Section I – About Progressive

  
 

    Our Business

     1   
 

    2010 Business Highlights

     1   
 

    Our Financial Objectives

     1   
 

    Relationship Between Loss Reserving and Pricing Functions

     2   

Section II – About Reserves and Development

  
 

    Definition and Stated Goals

     4   
 

    Calendar Year versus Accident Year

     4   
 

    Paid Development Patterns

     5   
 

    Reserve Development

     6   
 

    External Reporting of Reserve Changes and Reserve Development

     8   
 

    Internal Reporting of Reserve Changes and Reserve Development

     10   

Section III – Types of Reserves

  
 

    Loss Reserves

     11   
 

            Case Reserves

     11   
 

            Incurred But Not Recorded (IBNR) Reserves

     14   
 

    Loss Adjustment Expense (LAE) Reserves

     15   
 

    Involuntary Market Operating Loss Reserves

     15   
 

    Other Considerations to Reserves

     16   

Section IV – Estimating Loss Reserves

  
 

    Segmentation of Reserves for Analysis

     17   
 

    Projections of Ultimate Losses

     18   

Section V – Process Enhancements Introduced in 2010

  
 

    Additional segmentation to DCC case reserves by age and by limit

     20   

Section VI – Terms and Definitions

     21   

Section VII – Case Study: Loss Reserve Review

     Appendix   

Section VIII – Case Study: Loss Adjustment Expense Reserve Review

     Appendix   

 


Section I – About Progressive

Our Business

The Progressive insurance organization (referred to as “Progressive” or the “Company”) began in 1937. Since that time, we have worked hard to continuously improve our products and services. Today, we offer competitive rates and 24-hour, in-person and online services to personal lines and commercial auto drivers throughout the United States.

We seek to become Consumers’ No. 1 Choice for Auto Insurance through creation of a consumer proposition based on “fast, fair and better.” The Company writes insurance for personal and commercial automobiles, as well as motorcycles, recreational vehicles and watercraft. Progressive Insurance is available directly through the Company over the telephone and on the Internet, as well as through more than 30,000 independent insurance agencies, including brokerages in New York and California.

2010 Business Overview

In 2010, Progressive generated a net income of $1.1 billion, or $1.61 per share. From an operations standpoint, the Company generated an underwriting profit of 7.6%, which exceeded our targeted goal of 4%. The Company had a 3% increase in net premiums written. Companywide policies in force, our preferred measure of growth, increased 7%. 2010 resulted in a Return on Shareholders’ Equity (ROE) of 17.1%1 and a Comprehensive ROE of 22.3%2.

Our Financial Objectives

At Progressive, we measure ourselves against two specific goals designed to maximize the value of our Company. Our most important goal is for our insurance subsidiaries to produce an aggregate calendar year 4% underwriting profit. Second, we seek to grow our business as fast as possible so long as doing so is consistent with our profitability objective and our ability to provide high quality service to our customers. We communicate these two corporate goals to every Progressive employee and work together to achieve them.

Our financial policies evaluate our exposure to risk, which is the chance that actual events turn out to be significantly different than expected and result in a loss of capital. Our Risk Management area identifies, quantifies, and in some instances manages Progressive’s risk exposure.

Our risks are classified into the following four categories:

 

   

Insurance Risks – risks associated with assuming, or indemnifying for, the losses of, or liabilities incurred by, policyholders

   

Operating Risks – the risks stemming from external or internal events or circumstances that directly or indirectly affect our insurance operations

   

Market Risks – changes in the value of invested assets from a variety of factors, including interest rate movements, market price fluctuations, credit spread widening, risk premium

 

 

  1  Based on net income.
  2  Use of Comprehensive ROE is consistent with the Company’s policy to manage on a total return basis and reflects changes in unrealized gains and losses on securities held in our portfolio. For Progressive, Comprehensive ROE consists primarily of:
[net income + changes in unrealized security gains, net of tax] / [average shareholders’ equity].
To review all components of Progressive’s Comprehensive ROE, refer to our Consolidated Statement of Changes in Shareholders’ Equity and related Notes in our 2010 Annual Report to Shareholders, which is attached as an appendix to the Company’s 2011 Proxy Statement.

 

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pricing, liquidity difficulties, foreign exchange rate changes, and the performance of an individual issuer or market sector

   

Credit Risks – the risks that a counter-party to a transaction will fail to perform according to the terms and conditions of a contract, as well as our ability to obtain capital when necessary, pay or otherwise satisfy our obligations when due, and earn the cost of equity capital

Loss reserving is an operating risk because significant variations in loss reserve estimates affect our operating profit and our ability to price accurately.

Loss reserving is an activity that is central to the achievement of our goals. It involves estimating the magnitude and timing of future claim payments and loss adjustment expenses (LAE) for accidents that have already occurred. These estimates take into account not only claims that are in the process of being settled but also claims on accidents that have happened but have not yet been recorded by the Company. At year-end 2010, Progressive’s estimated gross loss and LAE reserves amounted to $7.1 billion.

Relationship Between Loss Reserving and Pricing Functions

Unlike most industries, insurers do not know their costs until well after a sale has been made. Therefore, one of the most important functions for an insurance company is to set rates, or pricing. The goal of our pricing function is to properly evaluate future risks the Company will assume but has not yet written. Estimates of future claim payments are essential for accurately measuring Progressive’s underwriting profit and for determining whether pricing changes are needed to achieve the Company’s underwriting target. Reserve estimates that are too low can lead to the conclusion that pricing is adequate when it is not, so we may fail to achieve our underwriting target in future periods and we may experience unprofitable growth. Reserve estimates that are too high may lead to inflated prices, potentially limiting competitive opportunities.

Our product-focused business units continue to seek ways to advance the science of rate making to achieve accurate cost-based pricing at the finest level our data will support. This allows us to more accurately match our rates with expected loss costs by risk classification.

The role of the pricing function is to determine rates that are adequate to achieve our profitability goals without being excessive or unfairly discriminatory to consumers. Although the pricing function is very different from the loss reserving function, the data used is consistent between the functions. Typical information that the Loss Reserving group shares with the Pricing group includes:

 

   

Overall changes in the level of reserves by type of reserve (see Section III)

   

History of claim development and selected ultimate losses by accident period

   

Changes in selected ultimate loss amounts over time

   

Selected severity by historical accident period and resulting trends

   

Selected frequency by historical accident period and resulting trends

   

Changes in actuarially determined case average reserves by age (see Section III)

   

Changes in the level of average adjuster case reserve estimates (see Section III)

   

Changes in claim closure rates

   

Changes in the rate of claims closed without payment (CWP rate)

Judgments made by both the loss reserving and pricing areas consider additional issues. Growth and process changes may cause claims to settle faster or slower than previous experience. Changes in regulatory requirements made by state insurance departments, in the mix of business, and in the underwriting process may also contribute to unexpected changes in the data.

 

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We use a cost-plus strategy in pricing, beginning with the projected ultimate losses and LAE. The Pricing group estimates the ultimate losses and LAE for each coverage for the state under review. Their projection methods are similar to those used by the Loss Reserving group, as described in Section IV.

Trend selections have a significant impact on how much the rates will change. Changes in the average cost of a claim (severity trend), in the proportion of insured cars that have a claim (frequency trend), and in average premium adjusted for current rate levels (premium trend) are analyzed and selected.

The Loss Reserving group meets regularly with the Product Management group, Pricing group and Claims area to discuss these issues.

 

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Section II – About Reserves and Development

Definition and Stated Goals

Reserves are liabilities established on our Generally Accepted Accounting Principles (GAAP) balance sheet as of a specific accounting date and are estimates of the unpaid portion of what we ultimately expect to pay out on claims for insured events (claims) that occurred by the accounting date, whether or not those claims have been recorded by Progressive. These estimates are reported net of the anticipated amounts recoverable from salvage and subrogation. Loss reserves are our best estimate of future payments to claimants, and LAE reserves are the estimated future expense payments related to claims settlement. The types of reserves are explained further in Section III.

We estimate the needed reserves based on facts and circumstances known at the time the loss and LAE costs are evaluated. There is inherent uncertainty in the process of establishing property and casualty loss and LAE reserves caused in part by changes in the Company’s mix of business (by state, policy limit, etc.), changes in claims staffing and claims processes, inflation on automobile repair costs and medical costs, changes in state legal and regulatory environments, and unexpected judicial decisions regarding lawsuits, changes in theories of liability, and interpretation of insurance policy provisions, among other reasons.

 

Progressive’s goal is to ensure that total reserves are adequate to cover all loss and LAE costs while sustaining minimal variation from the time reserves are initially established until losses are fully developed.

The Corporate Actuary is accountable for the reserve adequacy and accuracy. The Loss Reserving group reports to the Corporate Actuary and is part of the Corporate Finance department. Personal Auto, Commercial Auto, and Special Lines have their own Product Management and Pricing groups. The Loss Reserving group works closely with Marketing and Claims to fully understand the underlying data used in our reviews. The Corporate Actuary uses this information to make reserving decisions independent of Marketing and Claims.

In order to make the most accurate estimation, we divide our book of business into smaller groups of data known as segments. A segment is generally defined to be a state, product, and coverage grouping with reasonably similar loss characteristics. Reserve estimation and segmentation are further explained in Section IV, and our analysis of reserves is described in greater detail in the Appendix, which presents reserve reviews for losses and loss adjustment expenses for sample segments, including discussion of the issues we consider during the analysis and the calculations involved.

Calendar Year versus Accident Year

Financial statements report data on a calendar year basis. However, payments and reserve changes may be made on accidents that occurred in prior years, thus not giving an accurate picture of the business that is currently insured. Therefore, it is important to understand the difference between calendar year and accident year losses.

Calendar Period Losses consist of payments and reserve changes that are recorded on the Company’s financial records during the period in question, without regard to the period in which the accident occurred. Calendar period results do not change after the end of the period, even as new claim information develops.

 

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Accident Period Losses consist of payments and reserves for losses that occurred in a particular period (i.e., the accident period). Accident period results will change over time as the estimates of losses change due to payments and reserve changes for all accidents that occurred during that period. Projection of ultimate losses by accident period is an important part of the reserve analysis.

Paid Development Patterns

Incurred losses consist of payments and reserve changes, so it is important to understand paid development patterns. The longer a claim is expected to stay open (not settled), the more difficult it is to establish an accurate reserve at the time the accident is reported. Since injury claims tend to take longer to settle than property claims, total reserve estimates for injury claims are more sensitive to the uncertainties mentioned above, such as changes in mix of business, inflation, and legal, regulatory and judicial issues. As more information is obtained about open claims, the reserves are revised accordingly. The ultimate amounts, however, are not known until the claims are settled and paid.

The following chart compares the time it takes to settle a typical segment of Bodily Injury liability claims versus a typical segment of Property Damage claims. Each annual development point represents the cumulative percent of paid dollars for accidents that occur in the first year.

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Reserve Development

The ultimate paid losses (i.e., the estimate of the expected paid losses) and ultimate LAE may deviate, perhaps substantially, from point-in-time estimates of reserves contained in our financial statements. The actual claims payments in subsequent calendar years may exceed or may be less than the year-end carried loss reserves causing losses incurred in subsequent calendar years to be higher or lower than anticipated. Changes in the estimated ultimate cost of claims are referred to as development.

There are several ways for reserve development to occur:

 

   

Claims settle for more or less than the established reserves for those claims.

   

Adjuster reserve estimates on open (reported) claims change

   

Average reserves set by Loss Reserving for open (reported) claims change

   

Unrecorded claims emerge (i.e., they are recorded after the accounting date) at a rate greater or less than anticipated. This can be due to either or both of the following:

o      The actual number (frequency) of “late reported” claims differs from the estimate

o      The average amount (severity) of these claims differs from the estimate

   

Loss Reserving’s estimates of future emergence patterns on unreported claims change

   

Salvage and subrogation recoveries are greater or less than anticipated

   

Changes in earned premium affect carried IBNR (incurred but not recorded) reserves which are calculated as a percentage of earned premium

Exhibit 2 illustrates Progressive’s reserve development over the past ten years. It shows the booked reserves at each year-end, and the re-estimated needed reserves at each subsequent year-end (down the column for each original accounting date). The last diagonal (in red) in Exhibit 2 represents our evaluation, as of December 31, 2010, of the needed reserves as of each respective year-end. The difference between the current evaluation (last diagonal) and the original amount of booked reserves in each column represents cumulative reserve development for that accident year and all prior accident years combined. This measures our performance against the goal, stated above, that total reserves are intended to be adequate and to develop with minimal variation.

 

 

Exhibit 2

 

 

Analysis of Loss and Loss Adjustment Expense (LAE) Development (in millions of dollars)

(unaudited)

 

 

For years ended
Dec. 31,

  2000     2001     2002     2003     2004     2005     2006     2007     2008     2009     2010  

Net loss and LAE
reserves

    $2,785.3        $3,069.7        $3,632.1        $4,346.4        $4,948.5        $5,313.1        $5,363.6        $5,655.2        $5,932.9        $6,123.5        $6,366.8   

 

Re-estimated
reserves as of:

                       

One year later

    2,686.3        3,073.2        3,576.0        4,237.3        4,592.6        5,066.2        5,443.9        5,688.4        5,796.9        5,803.2       

Two years later

    2,708.3        3,024.2        3,520.7        4,103.3        4,485.2        5,130.5        5,469.8        5,593.8        5,702.1         

Three years later

    2,671.2        2,988.7        3,459.2        4,048.0        4,501.6        5,093.6        5,381.9        5,508.0           

Four years later

    2,666.9        2,982.7        3,457.8        4,070.0        4,471.0        5,046.7        5,336.5             

Five years later

    2,678.5        2,993.7        3,475.4        4,073.7        4,475.5        5,054.6               

Six years later

    2,683.7        3,002.5        3,472.5        4,072.4        4,486.4                 

Seven years later

    2,688.4        3,000.6        3,470.1        4,080.5                   

Eight years later

    2,688.6        2,995.8        3,477.3                     

Nine years later

    2,683.5        3,000.9                       

Ten years later

    2,687.2                         
   

Cumulative Development:

favorable/(unfavorable)

    $98.1        $68.8        $154.8        $265.9        $462.1        $258.5        $27.1        $147.2        $230.8        $320.3       

 

% of Original Reserves

    3.5     2.2     4.3     6.1     9.3     4.9     0.5     2.6     3.9     5.2    
                                                                                         

 

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The reserves set as of December 31, 2009 appeared to be adequate as of year-end 2010, which means that over the course of 2010 reserves developed favorably. In other words, as of year-end 2010, it appears as though claims will cost less than we originally estimated. Reserves that are excessively adequate can lead to over-pricing, which may limit competitive opportunities. Reserves that are deficient can lead to under-pricing, which may contribute to unprofitable growth. It is important to recognize both favorable and unfavorable development as quickly as possible, so that these inefficiencies are corrected.

As seen in Exhibit 2, we have developed favorably (i.e., by less than the original estimate) year-to-date for every year-end evaluation. Very favorable cumulative development has come through for 2003, 2004, and 2009. For years 2006 through 2008 we have seen less cumulative development and have runoff close to where we were originally reserved. Exhibit 2 quantifies the amount of favorable development in 2010 at the bottom of the 2009 column. Reserves from accident years 2009 and prior developed $320 million favorably, representing 2.2% of our 2010 earned premium ($14.3 billion, found on page 9).

We make many projections in loss reserve analyses that may change as the claims mature. The least mature claims are those that occurred during the most recent accident year, so the Company believes that the estimated severity for the 2010 accident year is the projection with the highest likelihood to change. For further discussion of the 2010 results and how they are affected by loss and LAE reserves, see “Management’s Discussion and Analysis of Financial Condition and Results of Operations” in the Company’s 2010 Annual Report to Shareholders, which is attached as an appendix to the Company’s 2011 Proxy Statement.

Note the following points regarding unpredictability in establishing our reserve liability.

 

   

Reserve development on claims that settle more slowly (e.g., Bodily Injury liability claims) can be highly variable and challenging to evaluate.

 

   

Regardless of how close the initial accident year estimates are, they will never be exactly right, and there will always be development until all claims are settled.

In addition, loss reserves can only be established for events that have already occurred. Property and Casualty companies cannot establish reserves for catastrophic and other events that may occur in the future. These events can cause substantial fluctuations in monthly results when they do occur.

 

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Reserve development influences reported earnings. Current year reported earnings may be under-stated (relative to accidents that occur in the current year) when either or both of the following items occur:

 

   

There is unfavorable development of prior accident years during the current year

   

Reserves for accidents that occur in the current year are over-estimated (i.e., subsequent evaluation shows a lower estimate of ultimate incurred losses)

On the other hand, current year reported earnings may be over-stated when the opposite of these items occurs.

Exhibit 3 shows how reported Earnings Per Share (EPS) are affected by the reserve development in Exhibit 2. It shows the reported EPS and what the EPS would have been if the Company had no reserve development, i.e., if current year earnings were based on only current year accidents. Each year’s adjusted EPS excludes prior accident years’ development during the current year and includes future development of the current accident year, estimated as of December 31, 2010.

For example, in calendar year 2010 reserves developed favorably, which can been seen in Exhibit 2 and Exhibit 3. The negative EPS in 2008 was driven by losses in the investment portfolio.

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External Reporting of Reserve Changes and Reserve Development

Since reserve changes affect calendar period earnings, our monthly earnings releases show actuarial reserve changes by reporting segment (Personal Lines, Commercial Auto and Other) and further by channel (Agency and Direct) for Personal Lines. We also report reserve

 

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development monthly, in addition to the quarterly and annual statutory reporting requirements. This information for the current month and year-to-date is included in the Supplemental Information section of our monthly earnings releases. The following data is from our December 2010 earnings release and is unaudited:

 

December 2010 Year-to-Date

  

 Companywide

                 Total

         

 

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            ($ in millions)        

Net Premiums Earned

   $14,314.8       

Actuarial Adjustments

         

Reserve Decrease/(Increase)

         

Prior accident years

   $124.6       

Current accident year

  

71.0

      

Calendar year actuarial adjustment

  

$195.6

      

Prior Accident Years Development

         
Favorable/(Unfavorable)          

Actuarial adjustment

   $124.6       

All other development

  

195.8

      

Total development

  

$320.4

      

Calendar year loss/LAE Ratio

  

70.8

      

Accident year loss/LAE Ratio

  

73.0

      
                 

The table shows that we decreased our loss and LAE reserves during 2010 by $195.6 million as a result of regularly scheduled actuarial reviews. Each month, we generally complete between 50 and 100 reviews, representing about 25% of our total amount of reserves. Some reviews result in needed changes to the carried reserves. The total change is reported as Actuarial Adjustments in the table. A reserve decrease is shown as a positive value on the earnings report because it increases our earnings for the reporting period.

Reserves for accident year 2010 claims totaled a $71.0 million decrease, while reserves for claims in prior accident years were decreased by $124.6 million. However, this actuarial reserve decrease, which applies to claims in prior accident years, makes up a portion of the prior year development.

As stated earlier in this section, favorable or unfavorable development is due to a combination of factors. The favorable actuarial adjustment of $124.6 million includes changes to averages on open claims and the estimated emergence of claims that were unreported as of prior year-end. The all other favorable development of $195.8 million includes claims settling for amounts different from the established reserves, changes to adjuster reserve, actual emergence of claims that was different than the expected emergence included in IBNR reserves, and salvage and subrogation recoveries greater or less than expected.

The total prior accident years’ development listed above ties back to the cumulative development listed in Exhibit 2. Through December 31, 2010, including actuarial adjustments and all other development, the total prior accident years’ development was favorable by $320 million. In other words, with updated information as of December 31, 2010, we estimated that our reserves as of December 31, 2009, should have been $320 million lower than they were.

The $320 million favorable prior accident years’ development during 2010 is included in our current calendar year results. As a result, our 2010 calendar year incurred loss and LAE ratio of 70.8% is lower than our 2010 accident year incurred loss and LAE ratio of 73.0%. The difference

 

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of 2.2 points reflects the $320 million favorable development through December 31, 2010 divided by the net earned premium of $14.3 billion for the same period.

Reserve changes made as a result of actuarial reviews are intended to keep our current reserve liability accurate for the business reviewed. We change the reserves for the reviewed business based upon current information and our projections of expected future development. This is not the same as the aggregate development of prior year-end reserves.

Internal Reporting of Reserve Changes and Reserve Development

After completing each segment review, Loss Reserving analysts send summaries of the reviews to all affected areas of the Company. Loss Reserving meets with Product Management, Pricing, and Claims to discuss the current change, development, trend, and other issues that were considered in reserve analysis and exchanges information that may be considered in future reviews. The participation of these business units allows Loss Reserving to better understand changes in processes and business operations that may be affecting the underlying data.

To help product management understand the case reserve changes shown on their income statements, we provide monthly Decomposition (Decomp) Reports that summarize the changes in the following categories (terms are explained in Sections III and VI):

 

   

features that closed

   

features that opened (including reopened features)

   

changes in reserve averages on new features (due to loss reserving)

   

changes in reserve averages on open features (due to loss reserving)

   

inflationary impact on open features (inflation factor applied to average reserves)

   

aging of open features (features moving to the next age grouping)

   

changes from adjuster reserve to average reserve (reserve amount changes from above threshold to below threshold)

   

changes from average reserve to adjuster reserve (reserve amount changes from below threshold to above threshold)

   

changes in adjuster reserves (reserve amount changes, but stays above threshold)

   

changes due to resegmentation of data

Note: In our exhibits and explanations, we may use the terms “claim” and “feature” interchangeably. However, the Progressive definition of “feature” is the smallest divisible part of a claim, i.e., it is a loss on one coverage for one person, thus one claim can have multiple features. Even though we may generically refer to “claims” in our discussion, our analysis is actually done at the “feature” level. In addition, the term “counts” generally means “number of features.”

The business units are also provided with updated information regarding the impact of prior accident years’ development on their current calendar year results. We track loss case reserve development (on claims outstanding as of the prior year-end) separately from loss IBNR reserve development (on claims not recorded as of the prior year-end). This allows us to retrospectively test our prior assumptions and apply that knowledge in future judgments. It also helps the business managers better understand how their earnings are affected by reserve development.

 

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Section III – Types of Reserves

Reserves are considered a liability on our GAAP balance sheet. At the end of 2010, we reported a $7.1 billion reserve liability ($6.4 billion net of reinsurance recoverables on unpaid claims) on our GAAP balance sheet. We separate reserves into two categories: loss and LAE. While each of these two reserve categories is reported in aggregate on the GAAP balance sheet, when we analyze the loss reserves, we further break them into two distinct types: case and IBNR. The LAE is carried separately for case and IBNR but analyzed more in total than for loss. In this section, we discuss these reserve types and how we evaluate them to achieve a total reserve balance as accurate as possible.

Exhibit 4 illustrates the types of reserves as a percent of our total reserve liability as of December 31, 2010. In 2010, 84% of our reserve liability (Loss case + Loss IBNR) was set aside to pay claimants, while 16% of our reserve liability (LAE case + LAE IBNR combined) was established to accommodate costs associated with adjusting those claims. These costs are described in more detail later in this section.

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Loss Reserves

We evaluate our total indicated loss reserve need by sorting and analyzing claims by accident date. This analysis, discussed in detail in Section VII of the Appendix, is completed concurrently with the evaluations of case and IBNR reserves for the same segmentation of business.

Case Reserves

Loss case reserves represented 68% of our total carried reserves at December 31, 2010. Case reserves are estimates of amounts required to pay claims that have already been reported and recorded into Progressive’s systems but have not yet been fully paid. We evaluate our indicated case reserve need, as discussed in Section VII of the Appendix, by sorting and analyzing claims by record date (the date the claim was recorded by the Company).

For each open claim, the Company carries a financial case reserve on its books. The financial case reserve is either an average reserve determined by the Loss Reserving group or the adjuster reserve which is our adjuster’s estimate of the remaining cost for the claim.

 

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Average Reserves: Our objective is to use an average reserve for claims which we feel have a more predictable level of severity. We have determined a dollar threshold (which may vary by product, line coverage and limit) under which a claim’s severity is sufficiently predictable to receive an average from Loss Reserving.

These claims are assigned the average reserve regardless of the individual claim characteristics. When a claim is first recorded by the Company, there may not be enough known about the claim for an adjuster to determine its severity. The use of average reserves allows claims personnel to concentrate their efforts on adjusting claims rather than accounting for them. Also, average reserves are not as affected by changes in claims processes, and they provide more accurate financial reporting in aggregate.

Loss Reserving determines the average reserves, which vary by segment. In the months that a segment is not reviewed, an inflation factor is applied to the average reserves to keep up with changing costs between reviews. The inflation factor is generally based upon our projected severity trend from the segment’s most recent actuarial analysis.

Once an average reserve is assigned to a claim, we monitor the age of a claim. The age of a claim is defined as the length of time from the accident date to the current accounting date. More severe Bodily Injury claims tend to remain open longer than less severe claims and tend to be more expensive due to litigation, medical treatments, etc. In order to recognize this cost differential, the average reserve increases as the claim ages. However, the averages for physical damage claims currently are not increased for age since they tend to settle more quickly and the length of time since the accident normally does not impact their severity.

Adjuster Reserves: Our claims adjusters often will estimate the ultimate loss on a claim. We call this estimate the adjuster reserve. In cases where our adjuster sets a reserve equal to or above the threshold, the adjuster reserve will be used to determine the financial case reserve rather than the average reserve.

Severities may vary significantly on claims above the threshold. The adjuster reserves more accurately estimate the ultimate liability for these claims because the adjusters have typically spent a great deal of time on these larger claims and understand their unique characteristics. While only about 13% of our total open claim count for personal auto Bodily Injury are set at or above the current threshold, these claims represent about 33% of our total Personal Auto Bodily Injury case reserve liability as of year-end 2010. For Commercial Auto Bodily Injury, only 3% of our total open claim count are set at or above the threshold, accounting for about 29% of our total Commercial Auto Bodily Injury case reserve liability.

Example: Exhibits 5 and 6 illustrate the life of a hypothetical auto Bodily Injury claim. When the claim was originally recorded, we assigned the actuarially determined average reserve of $5,829. As the claim aged from the time it was recorded in February through the end of October, the average reserve changed due to the application of the inflation factor, results of actuarial reserve reviews, and aging. Over this same period of time, the adjuster increased the reserve estimate (red line) multiple times as more information was obtained about the claim. When the adjuster’s estimate exceeded the sample threshold of $25,000, the financial reserve changed from an average reserve to an adjuster reserve.

 

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Exhibit 5

Example of Case Reserving Over the Life of a Personal Auto Bodily Injury Claim

Policy Limits = $30,000/$60,000

Threshold = $25,000

State XYZ

Inflation Factor = 6% per year

(Excludes Loss Adjustment Expense)

 

  Month  

End

  Activity
Date
 

Claim

Activity

    Age in  
Months*
   Adjuster 
Estimate
     Carried 
Reserve
     Amount
Paid
      Explanation for Reserve Change  
         

Jan-09

   01/05/09    Accident occurs   1            IBNR              Aggregate amount based on factor of EP for segment

Feb-09

  02/12/09   Claim is reported   2            IBNR               

Feb-09

  02/15/09   Claim is recorded   2            5,829              Average reserve for 1-2 month age group from actuarial review

Mar-09

          3            7,121              Aging to 3-4 month age group & inflation

Apr-09

          4            7,157              Inflation

May-09

  05/20/09   Adjuster sets estimate   5     10,000        8,391              Actuarial review & aging to 5-6 month age group

Jun-09

          6     10,000        8,433              Inflation

Jul-09

          7     10,000        9,789              Aging to 7-12 month age group & inflation

Aug-09

  08/10/09   Adjuster revises estimate   8     15,000        10,250              Actuarial review revised averages

Sep-09

          9     15,000        10,301              Inflation

Oct-09

  10/25/09   Adjuster revises estimate   10     20,000        10,351              Inflation

Nov-09

  11/16/09   Adjuster revises estimate    11     26,000        26,000              Adjuster estimate crosses threshold so claim takes adjuster reserve

Dec-09

          12     26,000        26,000               

Jan-10

          13     26,000        26,000               

Feb-10

          14     26,000        26,000               

Mar-10

  03/10/10   Adjuster revises estimate   15     26,725        26,725              Still above threshold, so we continue to take adjuster reserve

Apr-10

          16     26,725        26,725               

May-10

          17     26,725        26,725               

Jun-10

          18     26,725        26,725               

Jul-10

  07/15/10   Claim is paid and closed   19     28,000        0         28,000      Claim is closed, carried reserve amount set to 0

* –Age in Months =

  Number of Days Since Accident Date     rounded up to the next positive integer.
  30 Days  
                                  

LOGO

 

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Incurred But Not Recorded (IBNR) Reserves

We establish a reserve for claims that have occurred, but have not been reported by the claimants or recorded by the Company as of the accounting date. Incurred But Not Recorded (IBNR) Reserves are estimates of the amounts needed to pay these claims. At year-end 2010, the loss IBNR reserves were 15.5% of our total carried reserves.

The IBNR reserve need is evaluated by the same segmentation process used for case reserves. We perform this analysis by sorting historical claims according to the time lag between the accident dates and the dates that these claims were recorded by the Company. The case study in Section VII of the Appendix shows a detailed IBNR reserve analysis.

Late reported claims are evaluated to determine the estimated ultimate losses for each accident quarter within each lag period. For example, Lag 1 consists of claims for which the accidents occurred during one quarter but were not recorded until the next calendar quarter. Similarly, Lag 2 consists of all claims for which the accidents occurred during one quarter but were recorded by the Company two quarters later. Lag 0 claims were recorded in the same quarter they occurred.

Exhibit 7 below shows our approximate percent of recorded features for Personal Auto Bodily Injury by record quarter lag. This exhibit shows 84.5% of our Auto BI features are reported and recorded in our systems by the end of the quarter in which they occurred. However, 15.5% of the features had not been recorded by the end of the accident quarter. Therefore, we need to estimate IBNR reserves for these claims.

LOGO

The reserve analysis develops estimated IBNR factors based on the needed reserves by age divided by the earned premium for each age group. The carried IBNR reserves are calculated at the end of each month (by segment) by applying these IBNR factors to trailing periods of earned premium for the past three to four years. In almost all cases the largest IBNR factors are applied to the premium in the most recent accident quarters because of their greater IBNR reserve need. The IBNR reserves change with our premium volume, allowing these reserves to keep up with growth, inflation, business mix, etc.

 

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Loss Adjustment Expense (LAE) Reserves

In addition to loss payments (which indemnify claimants), the Company incurs expenses in the process of settling claims. Therefore, we need to establish a reserve liability to cover estimated LAE to be paid as loss reserves develop to closure. There are two categories of LAE: Defense and Cost Containment (DCC) and Adjusting and all Other (A&O) expenses.

 

Defense and Cost Containment (DCC)3 includes all defense, litigation and medical cost containment expenses, including in-house counsel. We evaluate the total indicated DCC expense reserve need by sorting and analyzing these expenses by accident date, similar to how we review the needed loss reserves. In addition to being analyzed in total, the DCC expenses are split into Attorney & Legal and Medical & Other components which are analyzed separately.

 

Adjusting & all Other Expense (A&O) includes all other claims adjusting expenses, whether internal or external to the Company. A&O consists of fees, salaries and overhead expenses of those employees involved in a claim adjusting function, as well as other related expenses incurred in determination of coverage. We evaluate our total indicated A&O reserve need by comparing the ratios of A&O payments with loss payments over the past several calendar quarters. Data is analyzed by calendar quarter as we feel the activity and cost in adjusting claims in the future will be consistent with the more recent past calendar period activities regardless of the accident date of the loss. The selected ratios are applied to the loss reserves and then modified to derive indicated A&O expense reserves.

At year-end 2010, the LAE reserves were 16% of our total carried reserves. Similar to loss reserves, we carry case reserves for DCC and A&O expenses by applying selected averages to each open feature. For DCC we carry the adjuster reserve if it exceeds a certain threshold. (This occurs with much less frequency than for loss.) Similar to loss IBNR reserves, carried DCC IBNR and A&O IBNR are calculated as a percentage of the trailing earned premium for each respective segment.

Analysis of needed DCC and A&O expense reserves are performed independently. For each state, we review Personal Auto DCC Bodily Injury reserves and all A&O reserves by line coverage at least once per year. For Commercial Auto the reviews are completed on a more aggregated basis. Section VIII of the Appendix contains a case study of our LAE reserve analysis.

Involuntary Market Operating Loss Reserves

Progressive is required by the laws of most states to participate in involuntary market plans. Below we discuss the two major types of involuntary market plans in which we participate.

Private Passenger Assigned Risk Plans: State insurance regulations require us to participate in various assigned risk plans. Applicants who cannot obtain insurance in the voluntary market are assigned proportionately by the volume of written exposures or vehicles among the insurers licensed in that state. History indicates an operating loss is to be expected on these assignments. Participation requirements in assigned risk plans differ from state to state. Reserves are established for these expected operating losses based on our current written exposures. Since the plans assign business in policy years two years in the future on our current writings, we carry the reserves until we are actually assigned the risks.

 

 

  1 

The definition is consistent with that prescribed by the NAIC under the Statutory Accounting Regulations

 

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The carried reserves for assigned risk plans comprised less than one-tenth of one percent of our total net carried reserves at year-end 2010. However, since this is a unique type of exposure, we evaluate it separately.

The process of determining the assigned risk reserve for a state is as follows:

 

   

Determine Progressive’s estimated portion of the assigned risk pool by multiplying our projected market share by the estimated future size of the assigned risk pool in that state

   

Reduce this by any credits a state may allow such as voluntarily writing risks that generally populate the plans in a higher portion than in the general market

   

Estimate the operating loss that we expect to incur from this business

   

Factor in the impact when excess credits are sold to competitors along with charges from Limited Assigned Distribution (LAD) carriers when such agreements are in force

Commercial Auto Insurance Procedure (CAIP): In most states, Progressive is also required to share in the operating results of the involuntary Commercial Auto insurance procedure, CAIP plan. Due to the more complex nature of commercial business, these plans do not assign policies to specific insurance companies. Instead, a small number of carriers (including Progressive) service the business, but generally do not bear underwriting risk. The servicing carriers transfer the insurance risk, or cede 100% of the business, to the state pools. These pools then retrocede the loss experience of the plan to all companies in proportion to their respective shares of the commercial automobile voluntary market for the respective state.

Other Considerations to Reserves

Salvage and Subrogation

GAAP requires loss reserves to be stated net of anticipated salvage and subrogation recoveries. Statutory Accounting Principles (SAP), which are mandated by state insurance departments or regulators, allow reserves to be reduced by the expected recovery amounts but do not require it. We report our SAP loss reserves net of anticipated salvage and subrogation recoveries.

Salvage: Progressive generally assumes the title to a vehicle when it is declared a total loss. We may then sell the vehicle to a salvage dealer and these proceeds net of expenses are referred to as salvage recovery. Salvage is most relevant in analyzing the needed reserves for Collision claims.

Subrogation: When a Progressive policyholder is involved in an accident in which the other party is at fault or partially at fault, he or she may submit the claim to us. When we pay that claim, we obtain our policyholder’s right to recover damages from the at-fault party or the at-fault party’s insurance company. Subrogation is most relevant for collision claims (damage to our insureds’ vehicles) and, in many no-fault states, Personal Injury Protection (PIP) claims.

As we collect salvage or subrogation from third parties, it reduces our net paid and incurred loss amount for that claim. We analyze our claims data net of these recoveries, so that our estimated ultimate loss amounts are net of anticipated salvage and subrogation. Since most of our recoveries are realized after claims have been closed, we may carry negative IBNR reserves on the Company’s books for anticipated future recoverable salvage and subrogation.

 

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Section IV – Estimating Loss Reserves

During a reserve review we generally estimate the ultimate loss amounts for the past seven accident years using up to six different projections (discussed in more detail below). We may use additional techniques if there are wide variations between the six projections or if underlying process changes make those projections less reliable. To estimate the required reserve balance (i.e., unpaid losses) for the segment, we subtract the payments we have already made on claims that occurred during that same period. We change the reserve level for that segment based upon this review.

In this section, we discuss segmentation and describe the projections we consider in the review. The Appendix contains case studies that show more details involved in the segment reviews, including the calculations and the issues involved. However, the application of judgment is a key component of our reserve analysis and when deciding on the needed reserve changes. This is especially true in a dynamic environment such as those we have experienced at Progressive, in which changes in mix of business (e.g., by policy limit and geographic area) can be significant.

Segmentation of Reserves for Analysis

Segments are identified to allow us to review reserve needs at the most detailed level our data supports, and provide us with the ability to identify and measure variances and trends in severity and frequency. They also allow us to identify process changes within states/regions, which helps us to understand changes within the underlying data and to reflect them in the reviews. Each segment is generally required to have enough data to deliver reliable (credible) results. Our objective is to achieve adequacy in the reserve levels with minimal variation for each segment. This enhances the accuracy of our financial reporting, supports the income statements of our business units, and allows us to make better business decisions.

The projection of frequency for the lines of business we write is usually stable even though actual frequency experienced will tend to vary depending on external factors, such as a change in the mix of classes of drivers we insure or economic pressures like the price of gas. The severity experienced by the Company is more difficult to estimate, and it is affected by changes in underlying costs, such as medical costs, jury verdicts, etc. In addition, severity will vary relative to the change in the Company’s mix of business by policy limit.

Internal and external considerations are better understood at the state level than at a more macro countrywide level. Internal considerations that are process related may result from changes in the claims organization’s activities, including claim closure rates, the number of claims that are closed without payment, and the level of estimated needed case reserves by claim. External considerations include the litigation environment, regulatory and legislative actions, state-by-state changes in medical costs, and the availability of services to resolve claims.

Due to our volume, we review each state separately for Personal Auto Bodily Injury loss reserves. Even though a few of these states may be considered too small to have fully credible data, we feel there is value in studying and interpreting each individual state’s trends and development. Some states are so large that we can segment the data into regions within the state. Exhibit 8 is a map showing how we currently segment our loss reserve reviews for Personal Auto Bodily Injury.

For some coverages, where the underlying data is not large enough to be credible, we may combine states with similar loss characteristics and review them together. We continually look at ways to further segment our reviews to add value to our process which includes enhanced accuracy and information provided to our Product Management and Pricing groups.

 

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LOGO

With respect to personal auto Bodily Injury and uninsured motorists coverage, we split loss data into groups based on policy limits and analyze the data. It is valuable to analyze these groups of segments, as they tend to have different severity, frequency and loss development patterns. We also split the data by policy limit for our Commercial Auto Bodily Injury analyses. As the need to further analyze expenses at a finer breakout by limit presents itself, we have structured these more in-depth reviews. In addition, we analyze Specialty Truck separately from the Business Auto market (both components of Commercial Auto). Each identified segment is reviewed annually, semiannually, or quarterly depending on the size, the volatility, and other unique aspects of the individual segment.

LAE reserves are analyzed at a level of segmentation using many of the same considerations as loss reserves. Since the volume of LAE reserves is much less than that of loss reserves, we combine some of the states for Auto DCC reviews for coverages other than Bodily Injury. This produces more credible results. A&O is reviewed by state for all Auto line coverages. As mentioned earlier, all LAE segments are evaluated at least once per year, generally twice. Commercial Auto is also broken out similar to Auto for LAE, but not to the same level of detail geographically.

Projections of Ultimate Losses

Our standard procedures are to review the results of the different projections in order to determine if a reserve change is required. Three of the six available projections use paid data and the other three projections use incurred data (payments plus case reserves). There are strengths and weaknesses to each of the projections. In the event of a wide variation between results generated by the different projections, we further analyze the data using additional techniques.

The six available standard projections we use to estimate ultimate losses are:

 

  1. Amount Paid, in which we organize the total loss dollars paid by accident period and age of development into a triangular format (refer to Exhibit B of the Appendix) and project them to estimated ultimate amounts. We base our selections of future expected loss development largely on the historical development of prior periods.

 

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  2. Average Paid, in which we organize the paid severity (average amount paid per feature) by accident period and age of development into a triangular format and project the severities to estimated ultimate levels. Ultimate loss amounts are then calculated as the ultimate severities multiplied by the estimated ultimate number of features to be paid.

 

  3. Bornhuetter-Ferguson Paid, which uses the paid loss development pattern to determine the percent unpaid. We apply the percent unpaid to the expected ultimate loss amount to arrive at the expected unpaid amount, which is added to actual losses paid-to-date.

 

  4. Amount Incurred, in which we organize the total loss dollars incurred by accident period and age of development into a triangular format and project them to estimated ultimate amounts. We base our future expected loss development largely on the historical development of prior periods.

 

  5. Average Incurred, in which we organize the incurred severity (average amount incurred per feature) by accident period and age of development into a triangular format and project the severities to estimated ultimate levels. Ultimate loss amounts are then calculated as the ultimate severities multiplied by the estimated ultimate number of features to be paid.

 

  6. Bornhuetter-Ferguson Incurred, which uses the incurred loss development pattern to determine the percent not yet recorded. We apply the percent unrecorded to the expected ultimate losses to arrive at the expected unrecorded amount, which is added to actual losses incurred-to-date.

The three paid projections – amount paid, average paid, and Bornhuetter-Ferguson paid – all use paid loss data. The paid projections estimate growth and development of claims in an accident period by looking at the paid development of earlier accident periods. This assumes that past paid loss development is a predictor of future paid loss development. The primary strength of using paid data is that it removes the potential for distortions that may be created by including estimated data (i.e., case reserves). The drawback is that it is more difficult to accurately project ultimate losses in the most recent periods under review. For example, with longer-tailed lines of insurance such as Bodily Injury, the early development periods are more volatile because a large proportion of the payments are made later, as was illustrated in Exhibit 1 of Section II. Accurate paid projections also depend heavily on consistent claims closure or settlement practices. If the closure rate changes, the paid projections could be misleading. In addition, shifts in mix of business (e.g., changes by policy limit) are not as readily identified in the past paid development as in the incurred loss development.

The three incurred projections – amount incurred, average incurred, and Bornhuetter-Ferguson incurred – use paid losses plus case loss reserves in each accident period. They assume that historical incurred loss development will be predictive of our future incurred loss development. The primary strength of using incurred data is that we can make use of reserve estimates for open claims. These estimates are based on the judgment of claims adjusters in addition to our prior actuarial reviews. This is especially critical when estimating ultimate losses for longer-tailed claims such as Bodily Injury. The drawback of using incurred data for projection is that it depends heavily on consistent adjuster reserve estimates. The incurred projections could be distorted if the average adjuster reserve adequacy fluctuates over time.

We study changes in closure rates and average adjuster reserve levels through our segmentation of data and also through discussions with management. We adjust for these changes in our projections of losses. The case study in Section VII of the Appendix includes more thorough explanations of how changes in the closure rate affect paid loss development, and how changes in average adjuster reserves affect incurred loss development.

 

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Section V – Process Enhancements Introduced in 2010

We develop and maintain our loss and LAE reserve analysis models internally, giving us the flexibility to incorporate enhancements into our analysis and communication process regularly. We make many minor enhancements to our process throughout the year.

Our segmentation process is described in Section IV. We continually look at ways to enhance our segmentation so the carried reserves more accurately reflect the experience of each loss reserving segment.

In 2010, we increased the level of detail by which we vary our Personal Auto Bodily Injury DCC case reserves and Special Lines case reserves by age and limit.

For the year, we conducted 949 reviews involving approximately 575 segments of business.

 

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Section VI – Terms and Definitions

Accident Period Losses:    Losses for each accident are assigned to the period in which the accident occurred. Accident periods used in our analysis are generally three months (accident quarter), six months (accident semester), or twelve months (accident year). Payments and reserve changes, regardless of when they are made, are assigned to that same period in which the accident occurred. Therefore, accident period results will change over time as the losses develop.

Adjuster Reserves:    See Case Reserves.

Adjusting & All Other Expense (A&O):    A component of loss adjustment expense. A&O expenses include all claims adjusting expenses (whether internal or external to the Company) that are not included in Defense and Cost Containment (DCC). This category includes fees and salaries of those involved in a claim adjusting function, and other related expenses incurred in determination of coverage. A&O is sometimes called “AOE” outside of Progressive.

Assigned Risk:    People unable to obtain auto insurance in the voluntary market apply for coverage in the state automobile plan. In most cases, the insurance coverage is not actually provided by the state but instead is “assigned” to an insurance company. Each insurance company must accept a proportionate share of these risks.

Average Reserves:    See Case reserves.

Bodily Injury (BI) Liability Coverage:    Covers legal liability arising from causing injury or death to another person. In most states, this is a mandatory coverage. Each state mandates the minimum required limit. BI coverage pays when our insured is liable for an accident in which another party is injured.

Bornhuetter-Ferguson Method:    The “BF” method is an actuarial methodology that calculates the projected ultimate losses using a blend of a pure incurred or paid development method and an expected loss ratio (or expected pure premium) method.

Business Auto Market (Light Local) Commercial Auto Vehicles:    Commercial vehicles that generally have a gross vehicle weight under 26,000 pounds. These vehicles are used in the insured’s business but are not the primary source of revenue for the business.

Calendar Period Losses:    Payments and reserve changes which are recorded in the Company’s financial system during the period in question, without regard to the period in which the accident occurred or was recorded. Calendar period results do not change after the end of the period, even as new claim information develops.

Case Reserves:    Estimates of amounts required to settle claims that have already been recorded but have not yet been closed. Case reserves represent the largest portion of the reserves for automobile insurance products. The case reserves carried on the Company’s financial records are called the financial case reserves.

 

   

Adjuster Reserves:    The claims adjuster’s best estimate of how much a specific claim will cost (or the average reserve, if the claims adjuster does not make an estimate). If the estimate is above a predetermined threshold, it is used to determine the financial case reserves. All adjuster reserves are included in the actuarial reserve analyses.

 

   

Average Reserves:    When the adjuster estimate for a feature is below a predetermined threshold, the financial case reserve is the average reserve. These are determined by

 

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the Loss Reserving group and vary by segment. Within each segment, they may also vary by age (months since the accident occurred), policy limit, and geographic area.

Catastrophe:    A term applied to an incident, storm or series of related incidents resulting in a significant number of claims with a combined cost totaling more than $25 million in property damage for the insurance industry.

Cede:    To transfer liability, or a portion of it, in connection with a risk from the original or primary insurer to a reinsurance entity (e.g. a reinsurance company or Joint Underwriting Association).

Claim:    A demand for payment by an insured or an alleged third party under the terms and conditions of an insurance contract.

Claimant:    Usually refers to one who makes a claim.

Closed Without Payment (CWP):    A claim that was reported, did not require a loss payment, and is now closed. Note that there can be loss adjustment expenses for a CWP claim.

Closure Rate:    The number of claims from a specific accident period which are closed with payment at a specific evaluation date, divided by the estimated ultimate number of claims to be paid for that accident period.

Collision Coverage:    A coverage of the automobile insurance policy that indemnifies the insured when his/her automobile is damaged due to physical contact with another object (except a bird or animal), or due to upset (e.g., overturning).

Combined Ratio:    The sum of the loss and loss adjustment expense ratio and the expense ratio. This represents the percentage of each premium dollar an insurer spends on claims and expenses. A combined ratio less than 100% indicates an underwriting profit, while a combined ratio in excess of 100% indicates an underwriting loss.

Comprehensive Coverage:    A coverage of the automobile insurance policy that pays for damages to the insured’s vehicle due to any cause (except collision), including damage due to fire, windstorm, hail, theft, falling objects, explosion, riot, glass breakage and other causes of loss.

Credibility:    A statistical measure of the ability to infer generalizations from a data sample. Credibility increases as sample size increases or variability within the sample decreases.

Decomposition (Decomp) Reports:    Monthly internal management reports that decompose the financial case reserve changes into categories that explain the reasons for the changes.

Defense and Cost Containment (DCC) Expense:    A component of loss adjustment expense. DCC includes expenses related to defense, litigation and medical cost containment whether internal or external to the Company. DCC expenses include but are not limited to accident investigation, surveillance, litigation management, and fees of attorneys and others if working in defense of a claim.

Development:    Change in the estimated or actual losses or reserves over subsequent evaluations. When compared to expectations or prior estimates, it is referred to as either favorable or unfavorable development, based on whether the estimate has decreased or increased.

Development factor:    The quotient of the paid or incurred value for an accident or record period evaluated at time “t” divided by the value for that same accident or record period evaluated at time “t-1.”

 

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Diagonal:    The cumulative or incremental values or factors for all accident or record periods being evaluated as of a common date. If we are evaluating accident semester paid losses at 6-month intervals, then the last diagonal of the paid loss triangle is made up of the cumulative paid loss amounts for each accident semester as of the most recent evaluation date. The development of that last diagonal would be the paid losses during the last six calendar months for each accident semester. (Also see Triangle).

Earned Car Year:    An exposure unit that is the basic rating unit underlying an auto insurance premium. One automobile insured for a period of twelve months is one earned car year.

Earned Premium:    That part of the premium proportional to the segment of time a policy has been in force. It is the premium for protection actually provided during the experience period.

Emergence:    Generally used in the context of IBNR reserves, it refers to the recording of claims (or dollar amount of the claims) after the date of the accident, usually into at least the next quarterly or annual period. For example, if an accident occurred in October 2008 and it was recorded in February 2009, it was part of the estimate of IBNR at year-end 2008, and it emerged in the first quarter of 2009.

Expense Ratio:    The sum of all underwriting and operational expenses divided by premium. These expenses include such items as commission, acquisition expenses, general expenses, and taxes, but not loss adjustment expenses.

Exposure:    A measure of the risk of loss and the basic rating unit underlying an insurance premium. The unit of exposure will vary based upon the characteristics of the insurance coverage involved. For automobile insurance, one automobile insured for a period of twelve months is one earned car year or one exposure.

Feature:    The smallest divisible part of a claim. This is a loss on one coverage for one person. Often a claim will involve multiple features. It can involve multiple coverages, such as Bodily Injury (BI), property damage (PD), and Collision; and/or it can involve multiple claimants for the same coverage (e.g., two injured parties).

Financial Case Reserves:    See Case Reserves.

Frequency:    Number of features divided by exposure count. If one exposure is defined as one earned car year, then frequency is a measure of the proportion of insureds that have a claim in a year.

Incurred But Not Recorded (IBNR) reserves:    These are estimates at a given evaluation date of amounts that will be needed to settle claims that have already occurred but have not yet been recorded by the Company.

Incurred Losses:    The sum of payments and reserves.

Indication:    An actuarial estimate, based upon analysis of the data.

Lag:    Generally used in the context of IBNR reserves, it refers to the period of time from the date of the accident to the date the claim is recorded on the Company’s books. The data is grouped into quarterly and annual lag periods for analysis of IBNR reserves.

Loss Adjustment Expenses (LAE):    Expenses related to claim settlement.

Total Loss Adjustment Expenses (LAE) =

[Defense and Cost Containment (DCC) expenses] + [Adjusting & Other (A&O) expenses]

Loss Adjustment Expenses (LAE) ratio:    LAE expenses divided by earned premium.

 

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Loss ratio (Incurred loss ratio):    Incurred losses divided by earned premium.

Loss Reserving Segment:    See Segment.

Net Loss Reserves:    Net indicates that we have deducted the expected reinsurance recoverable from the sum of case and IBNR reserves. It may also refer to reserves that have been reduced for expected salvage and subrogation recoveries.

No-Fault Insurance:    A type of insurance contract under which an insured is indemnified for losses by their own insurer, regardless of fault in the accident generating the loss, and limited in the right to seek recovery through the civil-justice system for losses caused by other parties.

Paid Losses:    Payments for claims.

Parameters:    Variables that determine the characteristics or behavior of a statistical model and can be estimated by calculations from sample data. For example, the parameters of frequency and severity are estimated in the loss reserve analysis model.

Personal Injury Protection (PIP) Coverage:    Coverage in which an insurer pays, within specified limits, the medical and funeral expenses, work loss benefits and essential services of the insured, others in his vehicles and pedestrians struck by him. The basic coverage implemented under no-fault automobile statutes, which vary by state.

Physical Damage:    Damage to the insured vehicle, which includes the comprehensive and collision coverages.

Property Damage (PD) Coverage:    A coverage that pays the legal liability of the policyholder for damage to, or destruction of, property of others in an auto accident, including damage to other vehicles and structures such as buildings, telephone poles and fences.

Pure Premium:    Loss dollars divided by exposure count. Pure premium is also equal to frequency times severity. The pure premium is equivalent to the loss component of the full policy premium.

Record Period Losses:    Losses are assigned to the period in which the accident is recorded on the Company’s financial records. Record periods used in our analysis are generally three months (record quarter), six months (record semester), or twelve months (record year). Payments and reserve changes, regardless of when they are made, are assigned to that same period in which the accident was recorded. As a result, record period results will change over time as the losses develop, i.e., as the estimates of losses change due to payments and reserve changes for all accidents that were recorded during that period.

Reopened Claim:    A claim that was closed (with or without payment) but opened again at a later date due to the discovery of additional information. We reserve for future reopened claims as IBNR.

Reserves:    Estimates of the unpaid portion of what the Company ultimately expects to pay out for losses and loss adjustment expenses on claims that occurred by the accounting date, whether or not those claims have been reported to the Company.

Salvage:    The residual value of property in which an insurance company secures an ownership interest as a result of paying a claim for a total loss, when the damage exceeded the value of the vehicle before the loss occurred. Anticipated salvage on closed claims is included as negative IBNR reserves.

 

Page 24


Segment (Loss Reserving Segment):    Generally, a state/product/coverage combination with reasonably similar loss characteristics that is grouped together when assessing reserve adequacy.

Severity:    Loss dollars divided by number of features. This indicates the dollar amount of the average feature.

Specialty Truck Commercial Auto Vehicles:    Commercial vehicles that generally have a gross vehicle weight of at least 26,000 pounds. These include tow trucks and local cartage (e.g. delivery vans, box trucks, dump trucks and flatbeds). These vehicles are used in the insured’s business and are the primary source of revenue for their business.

Subrogation:    An insurance company, upon payment of a loss to the insured, is entitled to the insured’s legal rights against third parties. These rights are only those related to the loss, and the company is only entitled to the extent of the loss payment. Reserves for the future recoveries we expect to recover through subrogation may be included as negative IBNR reserves.

Threshold:    The point above which the adjuster’s estimate of a claim is carried in our financial case reserves, versus an average reserve being assigned by the system.

Trend (Exponential Fit):    Exponential fitted trends tell us the estimated average annual change in severity, frequency, pure premium, or average earned premium by fitting an exponential curve to the selected values. These can use any number of data points. We generally use two-year or four-year fitted trends.

Triangle:    The triangle is a tool used by actuaries to show how data has changed over time and to project ultimate values. Usually, the evaluation periods are columns organized from left to right, and the data periods are rows organized from top to bottom. The oldest data periods have been evaluated the most times, while the more recent data periods have been evaluated the least amount of times. Thus, the historical data forms a triangular shape.

Ultimate:    The final selected amount, count, or ratio that we estimate by analyzing the data. For example, the selected ultimate loss amount for an accident period represents our estimate of the total cost of all claims for that accident period after they have all been paid and closed.

Uninsured/Underinsured Motorist (UM or UMBI) Coverage:    Uninsured Motorist coverage pays our policy holder in the event of an accident caused by a driver who does not have liability insurance, or does not have enough liability insurance to pay damages. Coverage requirements vary by state.

Utilization (DCC Utilization):    Percentage of features for which we incur expenses for defense and cost containment.

Written Premium:    The total amount charged to an insured for a policy during its entire effective period.

 

Page 25


 

 

 

 

 

 

 

6300 WILSON MILLS ROAD MAYFIELD VILLAGE, OHIO 44143

440.461.5000 progressive.com


LOGO


Table of Contents – Appendix

 

Section VII – Loss Reserve Case Study

  

 

Introduction

     1   
 

Exhibit A – Accident Period Analysis

     3   
 

Exhibit B – Accident Period Average Incurred Loss Development

     15   
 

Exhibit C – Record Period Analysis

     21   
 

Exhibit D – Summary of Estimated IBNR

     25   
 

Exhibit E – IBNR Analysis

     31   

Section VIII – Loss Adjustment Expense Reserve Case Study

  

 

Introduction

     42   
 

Exhibit DCC – Defense and Cost Containment Expense Reserve Analysis

     44   
 

Exhibit ADJ – Adjusting and Other Expense Reserve Analysis

     52   

 

 

 

01P00102B (06/09)

   Copyright © Progressive Casualty Insurance Company. All Rights Reserved.


Section VII – Case Study: Loss Reserve Review

Based upon our segment reviews, we may revise any or all of the following in order to achieve the desired changes to our reserves:

 

   

Case Reserves can be revised by changing:

   

Average reserves, which are applied to open features below the threshold and are determined as part of the review process for the applicable loss reserving segment.

   

The inflation factor, which is applied to average reserves in months following a review.

 

   

IBNR Reserves can be revised by changing:

    o    IBNR factors, which are applied to trailing periods of earned premium.

In this section, we present an example of a loss reserve review for a sample segment. Most segments are defined by state, product, and coverage grouping with reasonably similar loss characteristics.

Note that the data in this example is not from any specific segment and any similarity to a specific segment is coincidental. Also, the investigations that are undertaken, the conclusions that are drawn, and the selections that are made in this case study are not necessarily the same as those that would be made in an actual review. The results of this case study are also not intended to represent the actual results of the Company. Our intent is to illustrate and discuss many of the issues that we consider during an analysis. The calculations involved in the process will also be explained.

This case study will illustrate how we estimate the adequacy of our loss reserves by reviewing loss data organized in three different ways:

 

Type of Loss Reserve

  

Claims Data Organized by

    
   
Total (Case + IBNR)    Accident Period   
Case    Record Period   

IBNR

 

   Record with Accident Period   

By definition, the following identities are always true as of the designated evaluation date:

 

 

Required Loss Reserves = Total Indicated Ultimate Losses – Total Paid Losses  

 

 

 

 

Loss Reserve Adequacy = Held Loss Reserves – Required Loss Reserves  

 

  

Carried reserves and paid losses are known statistics and reconcile with our financial records. However, we use judgment in the estimation of the ultimate losses. As stated above, we make these estimations by accident period, record period, and record within accident period. Our objective is to estimate how losses will develop over time using past development as a key indicator. In order to make reasonable selections, we look at several parameters and also consider the business issues that underlie the data.

We produce several exhibits to summarize our reviews, and they are also used in our discussions with management. Some of the key exhibits are presented on the next several pages. Following that, we provide an overview of each exhibit.

 

Page 1


Exhibit AAccident Period Analysis

Exhibit BAccident Period Average Incurred Loss Development

Exhibit CRecord Period Analysis

Exhibit DSummary of Estimated IBNR

Exhibit E (5 pages) IBNR Analysis

As mentioned in the report, in our exhibits and explanations, we may use the terms “claim” and “feature” interchangeably. However, the Progressive definition of “feature” is the smallest divisible part of a claim, i.e., it is a loss on one coverage for one person, so one claim can have multiple features. Even though we may generically refer to “claims” in our discussion, our analysis is actually done at the “feature” level. In addition, the term “counts” generally means “number of features.”

Note that rounding in the exhibits as well as the order of calculation may make some of the figures in the case study appear slightly out of balance.

 

Page 2


Exhibit A

State XYZ Auto BI as of December 31, 2010

ACCIDENT PERIOD ANALYSIS

 

  (1)   (2)     (3)   (4)       (5)        (6)            (7)   
Accident
Semesters
Ending
  Paid
Projection
Ult ($000)
  Avg. Paid
Projection Ult
($000)
      Incurred
Projection
Ult ($000)
 

  Avg. Incurred  
Projection

Ult ($000)

       

Adj. Inc. @
12/31/2010

($000)

   

Pd. Loss @
12/31/2010

($000)

                Indicated
Ult Loss
($000)
 

PRIOR 3 yrs

  35,427   35,384       36,012   36,022             35,372        34,936                        36,017   

Jun-2007

  10,930   10,940     11,193   11,165       11,111        10,434            11,179   

Dec-2007

  13,257   13,163     13,249   13,180       13,087        12,197            13,215   

Jun-2008

  13,534   13,781     11,943   12,004       13,738        11,955            11,974   

Dec-2008

  9,962   9,868       10,123   10,140             10,117        8,248                        10,132   

Jun-2009

  9,485   9,492     10,066   9,943       9,888        7,014            10,004   

Dec-2009

  7,187   6,928     9,332   9,313       7,891        4,238            9,322   

Jun-2010

  9,689   8,667     9,505   9,498       8,529        3,221            9,501   

Dec-2010

  11,020   12,069     9,415   9,488       8,107        1,357            9,451   
   

Total

  120,492   120,293     120,839   120,751       117,839        93,601            120,795   
 

Paid Loss

  93,601   93,601     93,601   93,601               93,601   
                       

Required Reserves

  26,891   26,692       27,238   27,150                                    
 
% of
Reserves
  
  
    27,194   

Held Reserves

  28,038   28,038     28,038   28,038               28,038   

Reserve Adequacy

  1,148   1,347     801   888             3.0%        844   
                                   

Average Last 4

  3,132   (2,025)     3,261   3,835              

2nd to Last Diagonal

  2,865   (3,318)     624   1,951              

Last Diagonal

 

  (7,001)   (6,264)       3,470   3,154                                                
                     
    (8)   (9)   (10)   (11)   (12)   (13)           (14)     (15)           (16)  

Accident

Semesters

Ending

  Ultimate
Paid
Severity
  Ultimate
Incurred
Severity
  Avg. Adjuster
Case Reserves
@ 6 Months
  Closure Rate
@ 6 Months
  CWP Rate
@ 6 Months
  Ultimate
CWP Rate
          Incurred
Counts
Projection
    Recorded
Counts
Projection
            Indicated  
Ultimate
Counts
 

PRIOR 3 yrs

  5,863   5,969                                 6,032        6,035                6,035   

Jun-2007

  5,794   5,914   4,207   33.7%   26.3%     37.9%          1,888        1,887          1,888   

Dec-2007

  6,142   6,150   4,321   28.6%   29.4%     40.4%          2,145        2,141          2,143   

Jun-2008

  7,358   6,409   5,341   30.3%   27.6%     41.3%          1,875        1,871          1,873   

Dec-2008

  5,404   5,553   5,291   32.3%   26.3%     39.8%                1,827        1,825                1,826   

Jun-2009

  6,278   6,576   5,462   30.8%   30.7%     41.8%          1,514        1,510          1,512   

Dec-2009

  4,865   6,540   5,213   22.6%   29.2%     42.5%          1,422        1,426          1,424   

Jun-2010

  6,782   7,432   4,606   21.4%   32.4%     47.2%          1,279        1,277          1,278   

Dec-2010

  8,364   6,575   4,153   20.1%   28.7%     43.1%          1,439        1,447          1,443   
 
                  19,421        19,419          19,422   
                     

Accident

Semesters

Ending

  (17)   (18)   (19)   (20)   (21)   (22)     (23)     (24)     (25)     (26)     (27)  
  Ultimate
Severity
  Change In
Severity
  Ultimate
Frequency
  Change In
Frequency
  Pure
Premium
  Loss
Ratio
    Premium
($000)
    Earned
Exposures
    Change in
Earned Exp.
    Avg EP     Change In
Avg EP
 

PRIOR 3 yrs

  5,968       3.22%       192     62.7%        57,454        187,526                306           

Jun-2007

  5,921     3.01%       178     64.5%        17,325        62,827          276       

Dec-2007

  6,166   4.1%   3.42%   13.7%   211     70.5%        18,744        62,734        -0.1%        299        8.4%   

Jun-2008

  6,393   3.7%   3.33%   -2.6%   213     67.8%        17,670        56,287        -10.3%        314        5.1%   

Dec-2008

  5,549   -13.2%   3.47%   4.2%   192     64.7%        15,652        52,642        -6.5%        297        -5.3%   

Jun-2009

  6,617   19.3%   2.97%   -14.3%   197     67.8%        14,749        50,881        -3.3%        290        -2.5%   

Dec-2009

  6,547   -1.1%   2.73%   -8.1%   179     66.6%        14,007        52,158        2.5%        269        -7.4%   

Jun-2010

  7,435   13.6%   2.85%   4.5%   212     66.8%        14,233        44,804        -14.1%        318        18.3%   

Dec-2010

  6,550   -11.9%   3.03%   6.1%   198     62.3%        15,162        47,667        6.4%        318        0.1%   
          196     65.8%        184,996        617,528                           
   

Chg Dec-10

    Chg Dec-10              

4 Point Ann Exp Trend

  2.0%   vs. Dec-09   2.0%   vs. Dec-09   4.0%             9.3%     

8 Point Ann Exp Trend

  4.6%   0.0%   -3.7%   10.9%   0.7%             2.0%     

 

Page 3


Exhibit A – Accident Period Analysis

This exhibit summarizes our accident period analysis for this segment, so the claims are sorted and analyzed by accident date. We use 6-month accident periods (i.e., accident semesters) for this analysis. Each accident semester represents claims that occurred during the 6-month period ending at the end of the designated month (in the left-hand column of the exhibit).

Our accident period analysis measures the adequacy of total reserves. In other words, the estimated ultimate losses for each accident period include losses for claims that have already been reported to the Company plus losses for claims that have not yet been recorded.

The information on Exhibit A is summarized as follows:

 

   

COLUMNS (1) through (4): Estimated ultimate losses, resulting required reserves, and reserve adequacy resulting from four different sets of projections, using 3 different types of fixed selections of loss development factors (LDFs) for the projections

 

   

COLUMNS (5) and (6): Cumulative adjuster-incurred losses (i.e., paid losses plus adjuster reserves) and paid losses as of the evaluation date of 12/31/2010

 

   

COLUMN (7): Indicated ultimate losses which have been selected by the Loss Reserving group considering all information obtained during the analysis, along with the resulting required reserves and reserve adequacy

 

   

COLUMNS (8) and (9): Estimated ultimate paid and incurred severities, based upon the projections of average paid and average incurred losses

 

   

COLUMN (10): Average adjuster case reserves, as of the first evaluation point (i.e. the evaluation date is the end-date of each respective accident semester, which is at 6 months development)

 

   

COLUMN (11): The number of paid claims as of the first evaluation point (6 months), divided by the ultimate number of incurred claims

 

   

COLUMNS (12) and (13): Closed Without any loss Payment (CWP) Rate is the percentage of reported claims which are closed without payment, as of the first evaluation point (6 months), and projected to ultimate

 

   

COLUMNS (14) and (15): Estimated ultimate incurred counts resulting from two different sets of projections

 

   

COLUMN (16): Indicated ultimate incurred counts which have been selected by the Loss Reserving group, considering all of the information obtained during the analysis

 

   

COLUMNS (17) and (18): Indicated ultimate severities which result from the ultimate selections of losses and counts, along with the change from period to period, and the 4-point and 8-point fitted exponential trends.

 

   

COLUMNS (19) and (20): Indicated ultimate frequencies which result from the selected ultimate counts, along with the change from period to period, the 4-point and 8-point fitted exponential trends, and the year-over-year change

 

   

COLUMNS (21) and (22): The pure premiums and loss ratios which result from the selected ultimate losses, along with the 4-point and 8-point fitted exponential pure premium trends

 

Page 4


   

COLUMNS (23) through (27): Earned premium and earned exposures, which are used in some of the other calculations, along with average earned premium, changes in average earned premium, and the 4-point and 8-point fitted exponential trends for average earned premium

The following chart displays columns (1) through (4) of Exhibit A, which will be explained in more detail below:

 

     (1)    (2) = (8) × (16)    (3)   

(see Exhibit B)

(4) = (9) × (16)

Accident

Semesters

Ending

  

Paid

Projection

Ult ($000)

  

Avg. Paid

Projection

Ult ($000)

  

Incurred

Projection

Ult ($000)

  

Avg. Incurred

Projection

Ult ($000)

PRIOR 3 yrs

   35,427    35,384    36,012    36,022

Jun-07

   10,930    10,940    11,193    11,165

Dec-07

   13,257    13,163    13,249    13,180

Jun-08

   13,534    13,781    11,943    12,004

Dec-08

   9,962    9,868    10,123    10,140

Jun-09

   9,485    9,492    10,066    9,943

Dec-09

   7,187    6,928    9,332    9,313

Jun-10

   9,689    8,667    9,505    9,498

Dec-10

   11,020    12,069    9,415    9,488
       

Total Ultimate Loss

   120,492    120,293    120,839    120,751
     

Total Paid Loss

 

  

93,601

 

  

93,601

 

  

93,601

 

  

93,601

 

Required Reserves

   26,891    26,692    27,238    27,150

Held Reserves

   28,038    28,038    28,038    28,038

Reserve Adequacy

   1,148    1,347    801    888
     

Avg Last 4

   3,132    (2,025)    3,261    3,835

2nd to Last Diagonal

   2,865    (3,318)    624    1,951

Last Diagonal

   (7,001)    (6,264)    3,470    3,154

We use four sets of projections in most of our loss reserve segment analyses. There are other approaches built into our model that we use occasionally, when conditions warrant their use. However, we typically arrive at our indications using projections from paid losses, average paid losses, incurred losses, and average incurred losses. Exhibit B goes into more detail regarding our selection process using the average incurred loss projection. (Thus, there is a box around column (4)). However, this discussion will focus more on the merits of each type of projection, the rationale behind the projections and the relationships between various components.

Note that the paid, average paid, incurred and average incurred projections all use a similar actuarial technique to estimate ultimate losses. As illustrated in Exhibit B, we organize the data into a triangular format and project ultimate values by selecting LDFs for each evaluation interval based upon historical patterns and judgment. This is called the Chain-Ladder Method and is illustrated in Exhibit B.

Estimated ultimate losses are projected for the past seven accident years (by accident semester) for each of the four projections. These ultimate losses are shown on the exhibit for each of the past eight accident semesters (four years), and then the prior three accident years combined. Required reserves and reserve adequacy are then calculated (and shown in bold print below the

 

Page 5


total ultimate losses) for each projection by using the identities stated at the beginning of this section:

 

 

Total Ultimate Losses

 

     

 

Total Paid Losses

 

   =   

 

Required Reserves

 

 

Held Reserves

 

     

 

Required Reserves

 

   =   

 

Reserve Adequacy

 

Below the reserve adequacy for each projection, we show the adequacy that would have resulted from the application of three different types of predefined factor selections for each projection. Exhibit B shows more details behind these calculations, and Exhibit A summarizes the results. The Average Last 4 is the adequacy that would result if we selected future LDFs equal to the average of the last four LDFs at each development point. The 2nd to Last Diagonal and Last Diagonal are the adequacies that would result if we selected future LDFs equal to those on each of the last two diagonals of the LDF triangle. The Last Diagonal represents the development (payments and/or adjuster case reserve changes) during the most recent six calendar months for each accident semester. The 2nd to Last Diagonal represents the development during the 6-month period that ended 6 months ago.

Paid and Incurred Method vs. Average Paid and Average Incurred Method for Loss Development: When we make our projections of ultimate losses, we need to consider trends in the frequency and severity of claims and consider the underlying influences on the historical changes in frequency and severity. The dollars of paid and incurred losses would be expected to change directionally as our premium dollars and exposures change. In the development of paid and incurred loss dollars, we observe these changes over time but do not necessarily know whether they are due to changes in frequency or severity of claims, changes in the volume of business, or a mixture of both. On the other hand, by looking at the development of average paid and average incurred losses, we are able to focus upon changes in severity over time. Therefore, we tend to rely more heavily on the development of average paid and average incurred losses, i.e. summarized in columns (2) and (4) of Exhibit A, than that of the total paid and incurred loss dollars (summarized in columns (1) and (3) of Exhibit A).

 

Each data point in the

Average Paid Loss

development triangle

   =    Paid Loss Dollars

Paid Counts

  

Paid Counts = Claim features

(open or closed) with loss payment

   

Each data point in the

Average Incurred Loss

development triangle

   =    Incurred Loss Dollars

Incurred Counts

  

Incurred Counts = Claim features

closed with loss payment + all

open claim features

The ultimate losses for the Average Incurred Projection, i.e. column (4) of Exhibit A are calculated for each accident semester as:

 

Ultimate Losses for the

Average Incurred Projection

(4)

   =   

Ultimate Average

Incurred Severity

(9)

   ×   

Indicated Ultimate

Loss Counts

(16)

The ultimate average incurred severities are derived from the projections of average incurred losses, as shown in Exhibit B. The indicated ultimate counts are selected from the two projections of counts, as described later in this section. Similar calculations are performed for the average paid projection. The following excerpt from Exhibit A illustrates the result of these calculations:

 

Page 6


     (8)    (16)    (2) = (8) × (16)    (9)    (16)    (4) = (9) ×  (16)

Accident

Semesters

Ending

  

Avg. Paid

Severity

  

Indicated

Ultimate

Counts

  

Avg. Paid

Projection

Ult ($000)

  

[Per Exh B]

Avg. Incr

Severity

  

Indicated

Ultimate

Counts

  

Avg. Incr

Projection

Ult ($000)

PRIOR 3 yrs    5,863    6,035    35,385    5,969    6,035    36,022
Jun-07    5,794    1,888    10,940    5,914    1,888    11,165
Dec-07    6,142    2,143    13,163    6,150    2,144    13,180
Jun-08    7,358    1,873    13,781    6,409    2,173    12,004
Dec-08    5,404    1,826    9,868    5,553    1,826    10,140
Jun-09    6,278    1,512    9,492    6,576    1,512    9,943
Dec-09    4,865    1,424    6,928    6,540    1,219    9,313
Jun-10    6,782    1,278    8,667    7,432    1,164    9,498
Dec-10    8,364    1,443    12,069    6,575    1,414    9,488

Paid and Average Paid Losses: The development of paid losses is influenced by the rate at which the claims are paid and settled as well as the severity of the claims. Injury claims (BI, PIP, and UMBI) tend to have more variability in development and a longer payment period than property claims (Comprehensive, Collision, and Property Damage).

Some or all of the same items as mentioned for claim reporting and recording can also influence the rate at which claims are paid and settled. In addition, the rate of payment of claims tends to be related to the severity of claims. Smaller claims tend to settle more quickly than larger claims. As a result of this relationship, we consider the closure rate when making our judgments regarding paid and average paid loss development.

As stated above:

 

Closure Rate

    =  

 

Number of Features Closed with Loss Payment

Selected Ultimate Loss Counts

 

 

We look at this ratio to see if there is a change in the rate of claim closure, which may impact the paid loss development (historically and in the future). Column (11) of Exhibit A shows the closure rate at the first evaluation point for each accident period. We also look at further development points for the same reason, but it is the first development point (i.e., six months) that tends to be the most informative, since the closure rate tends to vary more when claims are less mature. Greater variability in the closure rate causes greater distortions in the development of paid and average paid losses.

 

Page 7


The following section from Exhibit A (as well as the underlying data) illustrates this point:

 

                          
       

(Data)

  

(16)

  

(11)

    
    

Accident

Semesters

Ending

  

Features

Closed w/ Pay

@ 6 Months

  

Indicated

Ultimate

Counts

  

=(Data)/(16)

Closure Rate

@ 6 Months

    
    

Jun-07

  

636

  

1,888

  

33.7%

    
    

Dec-07

  

613

  

2,143

  

28.6%

    
    

Jun-08

  

568

  

1,873

  

30.3%

    
    

Dec-08

  

589

  

1,826

  

32.3%

    
    

Jun-09

  

466

  

1,512

  

30.8%

    
    

Dec-09

  

322

  

1,424

  

22.6%

    
    

Jun-10

  

273

  

1,278

  

21.4%

    
    

Dec-10

  

290

  

1,443

  

20.1%

    
                          

For this segment, the closure rate has been decreasing for the past four accident semesters. This will tend to distort the predictive value of our historical paid and average paid loss development. The current paid losses will therefore not be expected to develop similarly to the historical paid losses. If a standard paid development projection is applied blindly, the resulting indication will likely not be reasonable.

Assuming that the lower severity claims are settled first, the trend seen in the closure rate would imply that the claims that have been paid in the most recent accident periods have a lower average severity (at the 6-month evaluation point) than those in the past. See the example on page 19 for an illustration. In addition, the future development of these losses may be understated if historical development patterns are applied. Therefore, the ultimate losses may be understated, the required reserves may be understated, and the reserve adequacy may be overstated.

The closure rate pattern is discussed with our Claims area to determine what may be causing it to change (e.g., process changes, staffing changes, or change in the volume of claims). We consider whether the trend is expected to continue or reverse, or whether we are now at the level that is expected to remain consistent. We consider this information in our selections for future development of paid and average paid losses.

With this specific segment, some of the hypotheses stated above are not necessarily true. In fact, application of the paid and average paid LDFs from the most recent 6-month period – i.e., the result of the Last Diagonal, as shown at the bottom of columns (1) and (2) of Exhibit A – would result in lower reserve adequacy.

Upon further review, we conclude that the vast majority of the reserve inadequacy that results from the Last Diagonal of the paid projections is due to the most recent accident semester. For this period, even though the closure rate is lower than history, the average paid loss is higher than history. This is a time when it is especially helpful to discuss these issues with management, to get additional information that may help in the analysis. It is possible that there are process changes or specific claims that may help to explain this development and help us to make better projections. This type of volatility in paid development also indicates that it may be preferable to give more credibility to the incurred projections in making our final selections of indicated ultimate losses.

Incurred and Average Incurred Losses: To find the incurred losses, we add current reserves to the amount of paid losses. Recall from Section III – Types of Reserves that the financial case reserve amount carried on the Company’s records takes the average reserve if it is below the predetermined threshold for the applicable segment, or uses the adjuster reserve if it is greater

 

Page 8


than or equal to the threshold. However, when we analyze incurred loss data in our reviews, we use the adjuster reserve for all claims, not just those above the threshold.

When a claim is recorded, it immediately receives an average reserve. Once the adjuster has enough information about the claim to make a reasonable estimate of its ultimate cost, the adjuster may enter an estimate into the claims system. The adjuster may revise this estimate when additional information is known. Using adjuster reserves in our incurred data is appropriate in our reviews because it allows us to consider the most current information available on claims as we track their development.

The recording of claims can be influenced by the time it takes for the claimant to report the claim and the time it takes for the Company to record the claim. The time it takes for the claimant to report the claim can be influenced by external forces, such as laws and regulations in the state, the legal environment, and the economy. The time it takes for the Company to record the claim can be influenced by changes in claim processing.

Incurred and average incurred losses can be more reliable than paid (and average paid) losses for projecting ultimate losses. Since incurred losses include the case reserve, and the case reserve is established as soon as the claim opens, incurred losses more accurately reflect ultimate losses in the early life of a claim. Also, case reserves are adjusted when additional information is known, making incurred losses more reliable over time.

We especially prefer incurred loss projections when we have volatile closure rates affecting our paid projections as in this example. Any data distortions in the paid data are mitigated as a result of including incurred data as a component of case reserves, making incurred loss development more stable than paid loss development in many cases.

However, adding case reserves adds a new type of uncertainty. Injury claims (BI, PIP, and UMBI) develop longer and vary more than property claims (Comprehensive, Collision and Property Damage). Since injury claims can involve lawsuits, adjusters have more difficulty making accurate estimates. Furthermore, changes in the adjusting process and personnel can affect the development of incurred losses.

In our reviews, we track changes in the adjusting process by observing the average adjuster case reserves. This gives us the average values (and changes over time) of the case reserves that are used in the incurred and average incurred loss triangles. We expect an increasing trend over time in the average adjuster case reserves. We also know that changes made by Loss Reserving to the adjuster reserves will have an impact on the average adjuster case reserves because any claim without an adjuster estimate uses the average reserve determined by Loss Reserving as the adjuster reserve.

Earlier, we mentioned that the closure rate influences the average paid severity. Also, note that the closure rate influences the average adjuster case reserve amount. The trend in both the average adjuster case reserve amount and the average paid severity are expected to be in the same direction as the trend in the closure rate. The following example illustrates these points:

 

Page 9


Assume: (1)  All open claims are reserved at their ultimate payment amount

               (2)  The lower severity claims close before the higher severity claims

               (3)  The distribution of claims is as follows:

             

Total

# of Claims:

     25         25         50       100

Severity:

     5,000         10,000         16,000       11,750

Incurred Loss:

 

    

 

125,000

 

  

 

    

 

250,000

 

  

 

    

 

800,000

 

  

 

  

1,175,000

 

 

Scenario I: Closure Rate = 50%

             
    

 

 

 

Closed

 

  

     Open         

Total

# of Claims:

     50         50          100

Severity:

     7,500         16,000          11,750

Incurred Loss:

 

 

    

 

375,000

 

  

 

    

 

800,000

 

  

 

           

1,175,000

 

 

Scenario II: Closure Rate = 25%

             
    

 

 

 

Closed

 

  

     Open         

Total

# of Claims:

     25         75          100

Severity:

     5,000         14,000          11,750

Incurred Loss:

 

    

 

125,000

 

  

 

    

 

1,050,000

 

  

 

           

1,175,000

 

As a result of the decrease in closure rate from Scenario I to Scenario 2, the paid severity of the closed claims and the incurred severity of the open claims, which would be reflected in the average adjuster case reserve amounts, have both decreased as well.

We consider how much of the average adjuster case reserve amounts (and changes in those amounts) is due to adjuster estimates versus the averages from the tables. At the 6-month development point, approximately 79% of our open BI liability claims for tort states countrywide (those states without no-fault statutes) have adjuster estimates (as of year-end 2010.) This percentage varies considerably by state, and tends to be higher for states with no-fault statutes. Also, for a given state, the percentage may change over time (at the same development point). In addition, as claims age, the adjusters will enter estimated reserves on a greater proportion of the open claims. About 88% of our total inventory of open claims in tort states has adjuster estimates. Again, this percentage tends to be higher for states with no-fault statutes.

We look at this group of parameters to see if there is a change in adjuster activity that may be affecting incurred loss development or incurred severity. The following excerpt from Exhibit A illustrates this point for this segment. Column (10) of Exhibit A shows the average adjuster case reserve at the first evaluation point (i.e., six months) for each accident period. While we also look at later evaluation points, the first evaluation point tends to be the most informative.

 

         (10)    (11)     
    

Accident

Semesters

Ending

  

Avg. Adjuster

Case Reserves

@ 6 Months

  

Closure Rate

@ 6 Months

    
   

Jun-07

   4,207    33.7%     
   

Dec-07

   4,321    28.6%     
   

Jun-08

   5,341    30.3%     
   

Dec-08

   5,291    32.3%     
   

Jun-09

   5,462    30.8%     
   

Dec-09

   5,213    22.6%     
   

Jun-10

   4,606    21.4%     
   

Dec-10

   4,153    20.1%     
                    

 

Page 10


This data potentially confirms the hypothesis for the most recent periods- that a decreasing closure rate will lead to decreasing average adjuster case reserves. However, there could also be other reasons for the decrease in these average adjuster case reserve amounts. Several possibilities are as follows:

 

   

There may have been a lower percentage of large claims.

   

There may have been a significant change in the mix of business by limit.

   

We may have made changes to the averages in the case tables that caused part of the decrease.

   

There may have been process changes, causing:

  ¡ 

Adjusters to leave claims at the case table average for a longer period of time before assigning their own estimates.

  ¡ 

Adjusters to estimate the value of the claims differently.

  ¡ 

Higher severity claims to settle more quickly.

   

There may have been external (legal, regulatory, or environmental) forces causing severity of open claims (or all claims) to decrease.

We discuss the adjuster reserving patterns with claims management to determine what may be causing this trend, whether it is expected to continue or reverse, or whether we are now at an expected level. We consider this information in our selections for future development of incurred (and average incurred) losses. For example, if adjuster estimates are lower than history for similar claims, we select higher LDFs to project ultimate losses.

The selected reserve adequacies shown in columns (3) and (4) of Exhibit A are lower than those that would result from applying the LDFs from the recent diagonals (i.e., the “default” adequacies). This results from our selected factors for the incurred projections being somewhat higher, on average, than those from the recent diagonals because we determined that the development in the recent past (the last few diagonals of the incurred triangles) was more favorable than we expect for the future.

Indicated Ultimate Losses: After consideration of the paid and incurred projections (in columns (1) through (4)) and all of the issues involved in those selections, we make our indicated ultimate loss selections for each accident semester. For this segment, we determined that the incurred projections are more reliable than the paid projections. Therefore, our selected ultimate losses consider the ultimate loss amounts from the two incurred projections.

Sometimes, we may use additional analysis to select ultimate loss amounts for some of the periods usually the most recent periods that are not based directly upon the four standard projections. It may be that the projected loss amount from the standard methods does not lead to a reasonable ultimate severity, pure premium and/or loss ratio. We would normally expect severity and pure premium to have trends that reasonably reflect internal and external trends in loss costs and inflation. These trends as well as the frequency trends are discussed with Product Management and Pricing to verify the reasonableness of our assumptions. We do not necessarily expect to match their selected trends, but management should understand the reasons for the differences. We also expect the loss ratio and pure premium to be relatively stable, other than changes due to business operations, rate levels or business mix.

 

Page 11


Consider the following chart, which contains information from Exhibit A:

 

     (7)    (16)    (17) = (7) / (16)    (18)    (21)    (22)

Accident

Semesters

Ending

  

Indicated

Ultimate

Loss ($000)

  

Indicated

Ultimate

Counts

  

Ultimate

Severity

  

Semiannual

Change In

Severity

  

Pure

Premium

  

Loss

Ratio

PRIOR 3 yrs    36,017    6,035    5,968         192    62.7%
Jun-07    11,179    1,888    5,921         178    64.5%
Dec-07    13,215    2,143    6,166    4.1%    211    70.5%
Jun-08    11,974    1,873    6,393    3.7%    213    67.8%
Dec-08    10,132    1,826    5,549    -13.2%    192    64.7%
Jun-09    10,004    1,512    6,617    19.3%    197    67.8%
Dec-09    9,322    1,424    6,547    -1.1%    179    66.6%
Jun-10    9,501    1,278    7,435    13.6%    212    66.8%
Dec-10    9,451    1,443    6,550    -11.9%    198    62.3%
       
Total    120,795    19,422    2.0%    4 pt Exp Tr    4.0%     
           4.6%    8 pt Exp Tr    0.7%     
                     
Total Paid Loss    93,601                 
Required Reserves     27,194                 
Held Reserves    28,038                 
Reserve Adequacy     844    3.0%    ç Percent of required reserves     
                                

 

Severity    =  

 

Ultimate Losses

Ultimate Counts

 

  

Pure

Premium

   =  

Ultimate Losses

Earned Exposures

  

Loss

Ratio

   =  

Ultimate Losses

Earned Premium

If we do not believe that the severity is reasonable, we may select a different ultimate loss amount or ultimate count to make the resulting severity more reasonable. A revised selection would also be tested against the other parameters for reasonableness. For this segment, the ultimate severity (column (17)) for the last accident semester is 11.9% lower than the previous accident semester, but it is about the same as it was two semesters ago ($6,550 vs. $6,547), and the fitted annual trend of approximately 2.0% appears reasonable. Changes in our mix of business may be causing the volatility in severity over the recent periods. The pure premiums (column (21)) and loss ratios (column (22)) that result from the selected losses also appear to be within a reasonable range, thus we conclude that the ultimate loss selections are reasonable.

The required reserves and reserve adequacy in column (7) are then calculated by using the identities as follows:

 

 

Required Reserves

   =    Total Ultimate Losses       Total Paid Losses    =    $27,194,000
   

Reserve Adequacy

 

  

=

 

  

Held Reserves

 

  

 

  

Required Reserves

 

  

=

 

  

$844,000

 

Therefore, based upon this accident period analysis, our total held reserves are adequate by $844,000.

 

Page 12


Claim Counts and Frequency: The following chart contains columns (12) through (15) of Exhibit A:

 

           (12)    (13)    (14)    (15)     
    

Accident

Semesters

Ending

   CWP Rate
@ 6 Months
   Ultimate
CWP Rate
  

Incurred

Counts
Projection

   Recorded
Counts
Projection
    
   

PRIOR 3 yrs

             6,032    6,035    
   

Jun-07

   26.3%    37.9%    1,888    1,887    
   

Dec-07

   29.4%    40.4%    2,145    2,141    
   

Jun-08

   27.6%    41.3%    1,875    1,871    
   

Dec-08

   26.3%    39.8%    1,827    1,825    
   

Jun-09

   30.7%    41.8%    1,514    1,510    
   

Dec-09

   29.2%    42.5%    1,422    1,426    
   

Jun-10

   32.4%    47.2%    1,279    1,277    
   

Dec-10

   28.7%    43.1%    1,439    1,447    
       
             19,421    19,419    
                             

Column (13) shows our projections of the ultimate CWP rates. Changes in CWP rates are usually due to process changes. In this example, the previous process may have been to open claims as soon as they were reported, without sufficiently verifying whether coverage existed. Under another process, claims may not open until there is additional information regarding the validity of the claim, causing the CWP rate to decrease. Note that this change in process should not affect the closure rate, since the calculation of closure rate excludes claims closed without payment.

Claim counts shown in columns (14) and (15) represent our projections of estimated ultimate counts of claims with loss payment for each accident semester. These estimates are made using different sets of data for each projection, sorted and analyzed by accident semester.

 

   

The Incurred Count Projection (column (14)) uses feature counts for claims that have closed with loss payment, plus claims that are currently open (whether or not there have been payments on them).

 

   

The Recorded Count Projection (column (15)) uses feature counts for all claims that have been recorded. The projected ultimate recorded counts are multiplied by [100% minus the ultimate CWP rates in column (13)] for the same respective accident periods to derive the ultimate counts in column (15). We do this to get the ultimate counts for claims with loss payment.

The following chart shows the selected ultimate incurred counts, which considers the incurred and recorded projections, underlying information, and the various projection methods discussed above. Also shown are the resulting frequencies, the change in frequency from period to period, and the 4 point and 8 point annual fitted exponential trends. These fitted trends represent the average annual change in frequency, considering the historical selections over the past two years (4 points) and four years (8 points).

 

Page 13


        

 

(16)

   (24)   (19) = (16) / (24)   (20)     
   

Accident

Semesters

Ending

  

Indicated

Ultimate

Counts

  

Earned

Exposures

 

Ultimate

Frequency

 

Semi-Annual

Change In

Frequency

    
    PRIOR 3 yrs    6,035    187,526   3.22%         
    Jun-07    1,888    62,827   3.01%         
    Dec-07    2,143    62,734   3.42%   13.7%     
    Jun-08    1,873    56,287   3.33%   -2.6%     
    Dec-08    1,826    52,642   3.47%   4.2%     
    Jun-09    1,512    50,881   2.97%   -14.3%     
    Dec-09    1,424    52,158   2.73%   -8.1%     
    Jun-10    1,278    44,804   2.85%   4.5%     
    Dec-10    1,443    47,667   3.03%   6.1%     
    Total    19,422    617,528  

2.0%

 

 

4 pt Exp Tr

 

    
                  -3.7%   8 pt Exp Tr     

Generally, we would expect frequency to have trends that reasonably reflect the Company’s mix of business and/or the industry results. For this segment, this may be true, as we believe recent reductions in the frequency are due to a change in our mix of business and possibly other external causes affecting the industry. We discuss this with Product Management and Claims in order to check the reasonableness of our assumptions. If we do not believe that the frequency is reasonable, we may select a different ultimate count to make the resulting frequency more reasonable. However, changes in the counts may also change the resulting severities.

Once we determine that the selected indicated loss amounts, frequencies, severities, pure premiums, and loss ratios are what we consider to be reasonable, we are done with this phase of the analysis. However, we may revisit some of these selections after we have done the record period and IBNR analyses if they result in significantly different conclusions.

As calculated above in column (7) of Exhibit A, our total held reserves are adequate by $844,000 based upon this accident period analysis. We may reduce the reserves by that amount, or we may change the reserves by an amount other than that. We base this judgment upon several factors such as the consistency or credibility of the indications in the review. When the credibility of the review is higher and the review is consistent, the overall reserve change will be closer to the indicated amount. The credibility is higher if our projections are relatively consistent with each other and the indications are consistent with prior reviews. On the other hand, if our projections are not reasonably consistent, or if there are recent changes in our indications of adequacy or trend, we attach less credibility to the current review.

The record period and IBNR analyses (shown in Exhibits C, D, and E, and discussed later in this section) will determine how the adequacy is distributed by type of reserve, and how we should implement the changes by category.

 

Page 14


Exhibit B

State XYZ Auto BI as of December 31, 2010

 

Semiannual Accident

Periods

Ending

  AVERAGE INCURRED LOSSES - ACCIDENT PERIOD ANALYSIS    
 

1

 

2

 

3

 

4

 

5

 

6

 

7

 

8

 

9

 

10

 

11

 

12

 

13

 

14

 

Ultimate
Severity

 

Ultimate
Loss ($000)

Jun-04

  5,790   5,876   5,928   5,553   5,688   5,796   5,792   5,988   6,019   5,999   5,969   5,960   5,962   5,950   5,950   6,057

Dec-04

  5,365   5,961   5,385   5,730   5,636   5,514   5,782   5,928   5,884   5,970   5,939   5,981   5,981   5,969   5,969   6,035

Jun-05

  6,087   6,084   5,795   6,852   6,652   6,833   6,832   6,825   6,882   6,907   6,900   6,912   6,913   6,899   6,899   6,954

Dec-05

  5,031   5,470   5,558   5,623   5,774   5,974   6,084   6,102   6,139   6,230   6,160   6,172   6,173   6,161   6,161   6,173

Jun-06

  4,778   5,342   5,383   5,465   5,489   5,617   5,653   5,661   5,651   5,710   5,677   5,689   5,690   5,678   5,678   5,673

Dec-06

  4,153   4,765   4,971   4,988   5,030   4,974   5,078   5,124   5,118   5,174   5,145   5,155   5,156   5,146   5,146   5,130

Jun-07

  4,315   5,241   5,457   5,704   5,786   5,787   5,822   5,865   5,882   5,946   5,913   5,924   5,925   5,914   5,914   11,165

Dec-07

  4,830   5,839   5,985   5,975   6,088   6,058   6,068   6,100   6,117   6,184   6,149   6,161   6,162   6,150   6,150   13,180

Jun-08

  6,277   6,306   6,180   6,140   6,283   6,269   6,324   6,357   6,375   6,444   6,408   6,421   6,422   6,409   6,409   12,004

Dec-08

  5,440   5,411   5,274   5,440   5,456   5,432   5,479   5,508   5,524   5,584   5,552   5,563   5,564   5,553   5,553   10,140

Jun-09

  6,155   6,126   6,269   6,366   6,461   6,432   6,488   6,522   6,541   6,612   6,575   6,588   6,589   6,576   6,576   9,943

Dec-09

  5,657   5,850   6,189   6,331   6,426   6,397   6,453   6,486   6,505   6,576   6,539   6,552   6,553   6,540   6,540   9,313

Jun-10

  5,513   6,756   7,033   7,195   7,302   7,269   7,332   7,371   7,392   7,473   7,430   7,445   7,447   7,432   7,432   9,498

Dec-10

  5,289   5,977   6,222   6,365   6,460   6,431   6,487   6,521   6,540   6,611   6,574   6,587   6,588   6,575   6,575   9,488
                               
                               
   

1-2

 

2-3

 

3-4

 

4-5

 

5-6

 

6-7

 

7-8

 

8-9

 

9-10

 

10-11

 

11-12

 

12-13

 

13-14

           

Jun-04

  1.015   1.009   0.937   1.024   1.019   0.999   1.034   1.005   0.997   0.995   0.998   1.000   0.998      

Dec-04

  1.111   0.903   1.064   0.984   0.978   1.049   1.025   0.993   1.015   0.995   1.007   1.000        

Jun-05

  1.000   0.953   1.182   0.971   1.027   1.000   0.999   1.008   1.004   0.999   1.002          

Dec-05

  1.087   1.016   1.012   1.027   1.035   1.018   1.003   1.006   1.015   0.989            

Jun-06

  1.118   1.008   1.015   1.004   1.023   1.006   1.001   0.998   1.010              

Dec-06

  1.147   1.043   1.003   1.009   0.989   1.021   1.009   0.999                

Jun-07

  1.215   1.041   1.045   1.014   1.000   1.006   1.007       Loss Development Factors   Adequacy      

Dec-07

  1.209   1.025   0.998   1.019   0.995   1.002         Average Last 4   3,835      

Jun-08

  1.005   0.980   0.993   1.023   0.998           2nd to Last Diagonal   1,951      

Dec-08

  0.995   0.975   1.031   1.003             Last Diagonal   3,154      

Jun-09

  0.995   1.023   1.016               Selected Avg Inc Indication   888      

Dec-09

  1.034   1.058                 Selected Ultimate Indication   844      

Jun-10

  1.225                              
                               

Avg Last 4 x-HiLo

  1.015   1.002   1.007   1.017   0.996   1.006   1.004   1.003   1.013   0.995            

Avg Last 4

  1.062   1.009   1.010   1.015   0.996   1.009   1.005   1.003   1.011   0.994            

Pr Sel @ 6 Mth

  1.014   1.001   1.022   1.016   1.002   1.008   1.003   1.004   1.007   0.997   1.001   1.002   1.000      

Pr Sel @ 3 Mth

  1.130   1.030   1.007   1.021   1.007   1.011   1.009   1.006   0.997   1.006   0.998   1.000   1.000      

Select

  1.130   1.041   1.023   1.015   0.996   1.009   1.005   1.003   1.011   0.994   1.002   1.000   0.998   Tail    

Cumulative

  1.243   1.100   1.057   1.033   1.018   1.022   1.014   1.008   1.005   0.995   1.000   0.998   0.998   1.000    
                               
    

Dec-10

 

Jun-10

 

Dec-09

 

Jun-09

 

Dec-08

 

Jun-08

 

Dec-07

 

Jun-07

 

Dec-06

 

Jun-06

 

Dec-05

 

Jun-05

 

Dec-04

 

Jun-04

       

Ultimate Severity

  6,575   7,432   6,540   6,576   5,553   6,409   6,150   5,914   5,146   5,678   6,161   6,899   5,969   5,950    

Ultimate Counts

  1,443   1,278   1,424   1,512   1,826   1,873   2,143   1,888   997   999   1,002   1,008   1,011   1,018    

Ultimate Loss

  9,487,725   9,498,096   9,312,960   9,942,912   10,139,778   12,004,057   13,179,450   11,165,632   5,130,562   5,672,322   6,173,322   6,954,192   6,034,659   6,057,100    
   

Ultimate LR

  62.6%   66.7%   66.5%   67.4%   64.8%   67.9%   70.3%   64.4%   58.5%   60.1%   68.5%   68.8%   60.3%   59.8%    

Ultimate PP

  199   212   179   195   193   213   210   178   171   182   198   220   190   190    

 

Page 15


Exhibit B – Accident Period Average Incurred Loss Development

This is one of the standard projections we use in our analysis for most segment reviews. It tends to be the projection that is weighted most heavily in our selections of indicated ultimate losses.

The top portion of Exhibit B (unshaded area) contains actual data in a triangular format. The section of Exhibit B shown below includes the actual data from the last 8 accident semesters, evaluated at 6-month intervals (semi-annual). The figures in the Blue Shaded cells are projected data points, which will be discussed later. The last column shows ultimate severities that result from the analysis that follows. Note that these ultimate severities are also carried over to column (9) of Exhibit A, as discussed previously.

 

       
    

Semiannual

Accident

Periods

Ending

        

 

AVERAGE INCURRED LOSSES - ACCIDENT PERIOD ANALYSIS                               

        

1

  

2

  

3

  

4

  

5

  

6

  

7

  

8

 

Ultimate

Severity

   

 

Jun-07

    

 

4,315

  

 

5,241

  

 

5,457

  

 

5,704

  

 

5,786

  

 

5,787

  

 

5,822

  

 

5,865

 

 

5,914

   

 

Dec-07

    

 

4,830

  

 

5,839

  

 

5,985

  

 

5,975

  

 

6,088

  

 

6,058

  

 

6,068

  

 

6,100

 

 

6,150

   

 

Jun-08

    

 

6,277

  

 

6,306

  

 

6,180

  

 

6,140

  

 

6,283

  

 

6,269

  

 

6,324

  

 

6,357

 

 

6,409

   

 

Dec-08

          

 

5,440

  

 

5,411

  

 

5,274

  

 

5,440

  

 

5,456

  

 

5,432

  

 

5,479

  

 

5,508

 

 

5,553

   

 

Jun-09

    

 

6,155

  

 

6,126

  

 

6,269

   6,366   

 

6,461

  

 

6,432

  

 

6,488

  

 

6,522

 

 

6,576

   

 

Dec-09

    

 

5,657

  

 

5,850

  

 

6,189

  

 

6,331

  

 

6,426

  

 

6,397

  

 

6,453

  

 

6,486

 

 

6,540

   

 

Jun-10

    

 

5,513

  

 

6,756

  

 

7,033

  

 

7,195

  

 

7,302

  

 

7,269

  

 

7,332

  

 

7,371

 

 

7,432

   

 

Dec-10

          

 

5,289

  

 

5,977

  

 

6,222

  

 

6,365

  

 

6,460

  

 

6,431

  

 

6,487

  

 

6,521

 

 

6,575

 

Each data point in the

Average Incurred Loss

development triangle

  

=

  

Incurred Loss Dollars

Incurred Counts

  

Incurred Counts = claim

features closed with loss

payment + open features.

Also recall that incurred losses that we use in our analysis are made up of paid losses plus case reserves. The case reserves are the adjuster estimates when they exist, or the averages from the case tables (per the actuarial reviews) when the adjusters have not made estimates.

The ending month of each accident semester is in the left-hand column. The evaluation points (across the top) represent 6-month periods. The first evaluation point is the same date as the end of each respective accident period. Each successive evaluation point represents 6 additional months of development. The last (i.e., most recent or current) evaluation of the average incurred loss by accident semester has the end of December 2010 as its evaluation point and is indicated in Red on the chart above. The collection of all such points is referred to as the Last Diagonal since it forms the boundary separating the actual loss experience from the ultimate projections.

For example, for the accident semester ending December 2009, the loss amount and count data that underlie the average incurred losses (in Bold Blue, with the current evaluation being on the same line in Red) in the above chart are as follows:

 

             Accident Semester Ending Jun-2009    @ Dec-2009    @ Jun-2010    @ Dec-2010        
    (a)   Paid Losses ($000)    646    2,414    4,238     
    (b)   Adjuster Case Reserves ($000)    6,719    5,295    3,653     
    (c ) = (a) + (b)   Incurred Losses ($000)    7,365    7,709    7,891     
    (d)   Features closed with payment    322    677    969     
    (e)   Open features    980    641    307     
    (f) = (d) + (e)   Incurred Counts    1,302    1,318    1,275     
    (g) = (c) / (f)   Average Incurred Loss ($)    5,657    5,850    6,189         

 

Page 16


The middle portion of Exhibit B contains the age-to-age LDFs, or link ratios in a triangular format. Each link ratio represents the development from one evaluation point to the next. For example, the link ratios for the accident semester ending December 2008 are calculated as follows and summarized on the next page.

The link ratio development of average incurred losses (from the triangle at the top portion of Exhibit B) from evaluation point 1 to evaluation point 2 (i.e., from December 2009 to June 2010) is calculated by $5,850 / $5,657 = 1.034. This means that, during that 6-month maturity period, the average incurred losses for that accident period increased by 3.4 percent. Similarly, from June 2010 to December 2010 (evaluation point 2 to evaluation point 3), the link ratio (or LDF) was $6,189 / $5,850 = 1.058. In other words, State XYZ experienced a 5.8% increase in the average incurred loss during that interval.

These calculations are done for every pair of data points on the triangle. (Notice that the Last Diagonal in the chart below is again colored Red. Also, the 2nd to Last Diagonal is colored Blue).

The purpose of this is to see how the claims have developed historically. This historical information is then used, along with other information and judgment, to estimate how the claims will develop in the future. If the data were “well-behaved,” you would expect the LDFs to be consistent down each column. This would indicate that claim reporting, reserving and settlement patterns have been consistent throughout history.

You can see in the following table that the LDFs are not consistent for State XYZ. We need to consider other parts of our analysis, as well as other information management can provide to try and understand the reasons for this inconsistent pattern. We use that information to select the factors for estimated future development.

In order to assist in this process, we take the average of the LDFs down each column. We also look at selections we made at the same intervals from previous reviews. This information is near the bottom of Exhibit B. Significant portions of this are also included in the chart below, along with the selected factors and the resulting ultimate severities.

 

Page 17


                                                          
     Semiannual           Average Incurred Losses       
     Accident          

Age-to-Age Link Ratios

      
   

 

Periods

                            
   

Ending

     

1-2

  

2-3

  

3-4

  

4-5

  

5-6

  

6-7

  

7-8

    
   

 

Jun-07

      1.215    1.041    1.045    1.014    1        1.006    1.007     
   

 

Dec-07

      1.209    1.025    0.998    1.019    0.995    1.002        
   

 

Jun-08

      1.005    0.98      0.993    1.023    0.998             
   

 

Dec-08

      0.995    0.975    1.031    1.003                
   

 

Jun-09

      0.995    1.023    1.016                   
   

 

Dec-09

      1.034    1.058                      
   

 

Jun-10

      1.225                         
   
         

Default and Selected Link Ratios

    
         

1-2

  

2-3

  

3-4

  

4-5

  

5-6

  

6-7

  

7-8

    
    Avg. Last 4             1.062    1.009    1.010    1.015    0.996    1.009    1.005     
    Avg Last 4 x HiLo       1.015    1.002    1.007    1.017    0.996    1.006    1.004     
    Prior Select @ 6 Months       1.014    1.001    1.022    1.016    1.002    1.008    1.003     
   

 

Prior Select @ 3 Months

      1.130    1.030    1.007    1.021    1.007    1.011    1.009     
    Selected Factor (ai) for 1 £ i £ 14             1.130    1.041    1.023    1.015    0.996    1.009    1.005     
    Cumulative Factor  (bn), where       1.243    1.100    1.057    1.033    1.018    1.022    1.014     
    LOGO                             
              
    

Accident Semester Ending

          

Dec-10

  

Jun-10

  

Dec-09

  

Jun-09

  

Dec-08

  

Jun-08

  

Dec-07

      
    Last Diagonal (cn)       5,289    6,756   

 

6,189

   6,366    5,456    6,269    6,068     
   

Ultimate Severity,

(dn) = (bn) × (cn)

            6,575    7,432    6,540    6,576    5,553    6,409    6,150         

Avg. Last 4 means the arithmetic average of the last four factors from that respective development interval (i.e., from the column directly above). This tells us how the average incurred losses have developed over that interval over the past four semesters.

For example, for the 1-2 development interval, we have:

 

Avg. Last 4

  

 

=

  

    

 

(0.995 + 0.995 + 1.034 + 1.225

4

) 

  

    =         1.062.   

Since we review most segments every three months, the Prior Selections are shown for the most recent review (@ 3 months), and the review prior to that (@ 6 months). This gives us some perspective on how the actual development compares to our prior estimate of future development, and how our opinions have changed with updated information.

The Selected Factors are colored green in the chart above. The most significant amount of judgment goes into the selection of the LDF for the first age interval, 1-2. This is because these claims are the least mature. Therefore, there is less information known about them. The selected factor of 1.130 is higher than the average of the last four factors, as well as the 6-month prior selection for that interval. The actual LDF from the most recent 6 months (i.e., the Last Diagonal) was 1.225. This is the highest that it has been in recent history and the selection shows that we expect this higher development in the future.

Similarly, in the second and third age intervals, we have selected LDFs that are higher than the average of the last four factors. This is because of inconsistency in the last four LDFs for each column. The LDFs in the Last Diagonal and 2nd to Last Diagonal are much higher than those in the 3rd and 4th to last diagonal. Looking down each column, historical LDFs for each age interval indicate that the LDFs from the 3rd and 4th to last diagonals are unusually low. Thus, the average of the last four factors for 2-3 and 3-4 age intervals are understated. The selected

 

Page 18


factors of 1.041 for the second interval and 1.023 for the third age interval are obtained by taking the arithmetic averages of the last two factors only.

Recall the discussion of the average adjuster case reserves from Exhibit A. They decreased (at the 6-month evaluation point) for each of the past three semesters. Not surprisingly, the average incurred losses have also decreased for each of the past three semesters (at the 6-month evaluation point, i.e., the first column). Therefore, we expect the future development on the incurred losses to be higher than recent history.

The Blue Shaded portion in the chart at the beginning of this section (and at the top of Exhibit B) shows how we expect the average incurred losses to develop over time based upon our selected factors. For example, for accident semester ending December 2010, the current evaluation of the average incurred losses (Last Diagonal) is $5,289 per claim. When this is multiplied by the selected 1-2 LDF of 1.130, the resulting average in the first Blue Shaded cell of that accident period is $5,977. That is what we project the average incurred losses to be for accident semester December 2010, when they are evaluated 6 months later (at June 2011). Similar calculations are done for each development period and each accident period. This technique is sometimes referred to as “completing the rectangle.”

When the selected age-to-age LDFs are multiplied by each other from the current development point (Last Diagonal) to the ultimate development (when all claims are expected to be closed), the resulting factor is called the Cumulative Loss Development Factor (LDF). The ultimate severity for each accident period is then the amount at the Last Diagonal, multiplied by the cumulative factor. For example, for the Accident Semester ending December 2010:

Ultimate Severity = $5,289 × 1.243 = $6,575

As explained previously (in the discussion of Exhibit A), ultimate severities are multiplied by the indicated ultimate counts, to derive the ultimate losses from this projection. Both the ultimate severities and the ultimate losses are carried onto Exhibit A, to be considered in the final selections.

There is another reasonableness test done on Exhibit B. We compare the adequacies that would be derived from several different selections of future LDFs. This chart is from the box in the middle of Exhibit B, about two-thirds of the way across the page, and it is also carried onto Exhibit A for reference.

 

 
 

Reserve Adequacy based on defaulted

and actual selections of LDFs

  
  using Average Incurred Development   
   

Loss Development Factors 

 

Adequacy ($000)

      
   

 

Average Last 4 

 

 

3,835

      
   

 

2nd to Last Diagonal 

 

 

1,951

      
     

 

Last Diagonal 

 

 

3,154

      
   

 

Selected Avg Inc Indication 

 

 

888

      
   

 

Selected Ultimate Indication 

 

 

844

      
                  

As discussed previously, we calculate required reserves and reserve adequacy using the following identities:

 

  Required Reserves   =    Total Ultimate Losses      Total Paid Losses   
   
  Reserve Adequacy   =    Held Reserves      Required Reserves   

 

Page 19


According to the final selections of indicated ultimate losses, the loss reserve adequacy is $844,000. This calculation is summarized on Exhibit A. The chart shows that, according to our selections from the average incurred development projection, the adequacy would be $888,000. We relied upon this projection, as well as the incurred loss development for our final selections.

Had we used default selections for the LDFs from the average incurred development, our adequacy would have been higher. These default adequacies, as shown in the chart, are the result of the Average of the Last 4 factors, as well as the factors from the 2nd to Last Diagonal and the Last Diagonal. For example, the factors on the Last Diagonal are shown in Red above (in the triangle of Age-to-Age Link Ratios). If the current losses would develop at the rate indicated by this set of factors, adequacy would be $3,154,000. Similarly, if the current losses would develop according to the factors along the 2nd to Last Diagonal, as shown in blue above, adequacy would be $1,951,000.

On average, our selected factors are higher than the default factors, because we expect the average incurred losses to develop at a higher rate in the future than they have in the recent past. Higher selected LDFs lead to higher ultimate losses, which lead to higher required reserves, thus a lower reserve adequacy. Therefore, even though our selected adequacy is outside of the range of the default selections, we conclude that it is reasonable, based upon other information we have gained through the analysis.

 

Page 20


Exhibit C

 

  State XYZ Auto BI as of December 31,2010   
  RECORD PERIOD ANALYSIS   
      (1)     (2)     (3)     (4)      (5)           (6)     (7)     (8)     (9)     (10)  
 

 

 

Record

Semesters

Ending

  

  

  

    Incurred        Avg. Incurred        Adj. Inc. @        Pd. Loss @        

 

  Indicated  

Ultimate

  

  

    Record        Projected            Incurred        Indicated   
   

 

Projection

Ult ($000)

  

  

   

 

Projection

Ult ($000)

  

  

   

 

12/31/2010

($000)

  

  

   

 

12/31/2010

($000)

  

  

    

 

Loss

($000)

  

  

   

 

Semester

Ending

  

  

   

 

Incurred

Severity

  

  

   

 

  Ultimate  

Severity

  

  

   

 

  Change In  

Severity

  

  

   

 

Counts

Projection

  

  

   

 

Ultimate

Counts

  

  

  PRIOR 3 yrs        34,729        34,727        34,672        34,324         34,729        PRIOR 3 yrs        5,868        5,867                5,919        5,919   
  Jun-2007        9,934        9,944        9,867        9,368         9,937        Jun-2007        5,409        5,404            1,839        1,839   
  Dec-2007        12,658        12,724        12,573        11,966         12,681        Dec-2007        6,293        6,265        16.0%        2,024        2,024   
  Jun-2008        14,656        14,692        14,440        12,747         14,666        Jun-2008        6,669        6,651        6.2%        2,205        2,205   
  Dec-2008        10,588        10,658        10,482        8,918         10,611        Dec-2008        5,548        5,521        -17.0%        1,922        1,922   
  Jun-2009        10,923        10,955        10,802        7,770         10,928        Jun-2009        6,798        6,770        22.8%        1,614        1,614   
  Dec-2009        8,067        8,067        7,995        4,535         8,067        Dec-2009        6,637        6,618        -2.1%        1,219        1,219   
  Jun-2010        8,584        8,727        8,771        3,565         8,631        Jun-2010        7,517        7,333        12.0%        1,177        1,177   
  Dec-2010        9,486        9,161        9,597        1,768         9,350        Dec-2010        7,047        6,622        -3.5%        1,412        1,412   
                          
  Total        119,627        119,656        119,199        94,961         119,577              19,331        19,331   
            

 
 

4 Point Ann Exp
Trend

  
  

    0.7%       
 
Chg Dec 08  
 vs. Dec 07  
  
  
   
 
 
Paid
Loss
  
  
    94,961        94,961             94,961       
 
8 Point Ann Exp
Trend
  
  
    5.9%        0.1%       
                      
           
 
 
Required
Reserves
  
  
    24,666        24,694             24,615               
 
 
Held
Reserves
  
  
    23,587        23,587             23,587               
 

 

 

Reserve

Adequacy

 

  

  

 

   

 

(1,079)

 

  

 

   

 

(1,108)

 

  

 

     

 

-4.2%

 

  

 

    

 

(1,029)

 

  

 

           

 

 
 

 

Average
Last 4

 

  
  

    559        1,378                        
 
 
2nd to Last
Diagonal
  
  
    (1,436)        242                        
 

 

 

Last

Diagonal

 

  

  

 

   

 

1,646

 

  

 

   

 

1,614

 

  

 

                                    

 

Page 21


Exhibit C – Record Period Analysis

 

   

COLUMNS (1) and (2): Estimated ultimate incurred losses, resulting required reserves, and reserve adequacy from two different sets of projections, using 3 different types of fixed selections of LDFs for the projections

 

   

COLUMNS (3) and (4): Cumulative adjuster-incurred losses (i.e., paid losses plus adjuster reserves) and paid losses as of the evaluation date of 12/31/2010

 

   

COLUMN (5): Indicated ultimate losses which have been selected by the Loss Reserving area considering all information obtained during the analysis, along with the resulting required reserves and reserve adequacy

 

   

COLUMN (6): Estimated ultimate incurred severities, based upon the projections of average incurred losses

 

   

COLUMNS (7) and (8): Indicated ultimate severities which result from the ultimate selections of losses and counts, along with the change in severities when comparing two consecutive periods in time, and the 4-point and 8-point fitted exponential trends.

 

   

COLUMN (9): Estimated ultimate incurred counts resulting from two different sets of projections

 

   

COLUMN (10): Indicated ultimate counts which have been selected by the Loss reserving area, considering all of the information obtained during the analysis

This exhibit summarizes our record period analysis for this segment, so the claims are sorted and analyzed by record date. We utilize 6-month record periods (i.e., record semesters), which represent all claims that have been recorded during the 6-month period ending at the end of the designated month (in the left-hand column of the exhibit).

The record period analysis measures the adequacy of our case reserves. In other words, the estimated ultimate losses for each record period include losses for claims that have already been recorded. They do not include losses for unrecorded claims, thus they exclude IBNR.

The information summarized on this exhibit is similar to the information summarized on Exhibit A. The issues involved in the analysis of record period losses are similar to the issues for accident period losses. The calculations of the components of the analyses are also very similar. Therefore, the focus of this discussion will be to compare and contrast the results of Exhibit C (Record Period Analysis) with Exhibit A (Accident Period Analysis).

Severity: The timing difference between when accidents occur and when they are recorded will help explain how severities differ between the analyses. A given accident could occur in one accident period, but be reported in a later record period. Accidents are reported and recorded after they occur, and severity is normally expected to change over time. Therefore, for a given period-ending date, the record period severity (for accidents from earlier periods) is expected to be different than the accident period severity for the same respective semester. The following chart illustrates the differences in severity for this segment:

 

Page 22


    

 

Ultimate Severity

     Exh A (17)    Exh C (7)

Semesters

  

 

Accident

   Record

Ending

  

Periods

  

Periods

PRIOR 3 yrs

   5,968    5,867

Jun-07

   5,921    5,404

Dec-07

   6,166    6,265

Jun-08

   6,393    6,651

Dec-08

   5,549    5,521

Jun-09

   6,617    6,770

Dec-09

   6,547    6,618

Jun-10

   7,435    7,333

Dec-10

   6,550    6,622

Counts: The indicated ultimate counts (shown in column (10) of Exhibit C and column (16) of Exhibit A) should also be similar, in aggregate, between the two analyses. If frequency is relatively flat and we are growing in volume, the aggregate claim counts should be higher for the accident period analysis than for the record period analysis due to the expected time lag between the occurrence and the recording of accidents. Over the past two years, this segment experienced a decreasing trend in earned premium and exposure volume. In addition, frequency had been decreasing over most of the period, but it flattened out over the past year. The aggregate accident period counts (19,422) are slightly higher than the aggregate record period counts (19,331), which is a reasonable result.

Reserve Adequacy: Almost every one of the default and selected adequacies is lower for the Record Period Analysis than for the same respective projections in the Accident Period Analysis. This is summarized in the following chart, which pulls information from both Exhibits A and C:

 

     (1)    (2)    (5)

Reserve 

Adequacy 

  

Incurred

Projection

($000s)

  

Avg. Incurred

Projection

($000s)

  

Indicated

($000s)

Accident Period Analysis (Exhibit A)
Selected     801    888    844
Avg Last 4     3,261    3,835     
2nd Last Diag     624    1,951     
Last Diag     3,470    3,154     
Record Period Analysis (Exhibit C)
Selected     (1,079)    (1,108)    (1,029)
Avg Last 4     559    1,378     
2nd Last Diag     (1,436)    242     
Last Diag     1,646    1,614     

Based on the analyses in Exhibits A and C, we have determined the following:

Adequacy of Total Reserves, per accident period analysis = $844,000

Adequacy of Case Reserves, per record period analysis = ($1,029,000)

Since Total Reserves = Case Reserves + IBNR Reserves, we expect that the adequacy of IBNR Reserves is reasonably well-approximated, as follows:

 

Page 23


IBNR Reserve Adequacy

     =       Total Reserve Adequacy            Case Reserve Adequacy
       =       $844,000            ($1,029,000)
       =       $844,000      +       $1,029,000
       =       $1,873,000              

This calculation suggests that since the total reserves are adequate overall, and the case reserves are inadequate, the IBNR reserves are expected to be adequate.

In the next section we will discuss a separate analysis of late report claims by lag period, in order to independently determine IBNR reserve adequacy. We compare the results of that analysis to the results above to test for reasonableness.

 

Page 24


Exhibit D

SUMMARY OF ESTIMATED IBNR

 

(1)    (2)      (3)   (4)      (5)   (6)    (7)      (8)    (9)   (10)    (11)

Prior Review
Future
Pure Premium

  

Calculated
 PP using
 6 month
 Emerged

    

    Quarterly
Rec w/n Acc
    Periods
     Ending

 

Total Future
Pure Prem

    

Earned
Exposures

 

Earned
Premium

  

Indicated
   IBNR

    

Indicated
IBNR
Factors

  

Current
IBNR
Factors

 

IBNR Emerged
Since
Jun-2010

  

6 Mth Emg.
  Indicated
    IBNR
  Factors

1.17

     0.89       Sep-2006     0.60       22,103   8,156,777      13,163       0.2%    0.5%   6,110    0.2%

1.65

     1.22       Dec-2006     0.78       23,265   8,307,946      18,249       0.2%    0.5%   6,110    0.3%

2.12

     0.87       Mar-2007     0.98       30,751   8,417,123      29,984       0.4%    1.1%   17,913    0.6%

2.43

     1.05       Jun-2007     1.16       32,076   8,907,753      37,252       0.4%    1.1%   17,913    0.6%

2.74

     1.56       Sep-2007     1.35       31,817   9,331,069      42,937       0.5%    1.1%   17,913    0.7%

3.05

     1.72       Dec-2007     1.54       30,918   9,413,188      47,598       0.5%    1.1%   17,913    0.7%

3.36

     1.91       Mar-2008     1.73       29,011   9,094,404      50,229       0.6%    2.1%   30,074    0.9%

3.80

     2.12       Jun-2008     2.15       27,276   8,575,229      58,721       0.7%    2.1%   30,074    1.0%

4.24

     2.77       Sep-2008     2.58       24,674   7,995,863      63,618       0.8%    2.1%   30,074    1.2%

4.69

     3.26       Dec-2008     3.01       27,968   7,655,772      84,133       1.1%    2.1%   30,074    1.5%

5.14

     3.80       Mar-2009     3.44       26,502   7,425,622      91,225       1.2%    3.0%   45,060    1.8%

5.69

     4.08       Jun-2009     4.00       24,379   7,323,851      97,579       1.3%    3.1%   39,863    1.9%

6.81

     5.14       Sep-2009     4.78       25,217   7,089,295      120,576       1.7%    4.1%   37,814    2.2%

7.58

     5.64       Dec-2009     5.47       26,942   6,917,614      147,457       2.1%    4.5%   82,033    3.3%

8.95

     6.28       Mar-2010     6.59       22,123   7,035,903      145,689       2.1%    4.9%   160,243    4.3%

11.31

     8.52       Jun-2010     8.92       22,681   7,197,385      202,219       2.8%    5.7%   570,118    10.7%

15.82

     13.83       Sep-2010     11.74       24,375   7,246,432      286,051       3.9%    6.9%     

35.65

     34.05       Dec-2010     33.52       23,292   7,915,198      780,765       9.9%    11.6%     
           475,370   144,006,425      2,317,445            1,139,299   
       

 

Annual IBNR Frequency Trend

               
          Current:       2.0%                
          Revised:       2.0%                
                  Zero Runoff           

Six Mth Runoff

  
     Annual Pure Premium Trend     Annual IBNR Severity Trend        2,317       Indicated IBNR ($000)   2,390   
     Current:       4.0%     Current:       2.0%        4,404       Carried IBNR ($000)   4,196   
     Revised:       4.0%     Revised:       2.0%        2,086       Adequacy ($000)   1,806   

 

Page 25


Exhibit D – Summary of Estimated IBNR

This exhibit discusses the IBNR analysis in our loss reviews. Section III of the manual explained that IBNR reserves represent estimates of losses for claims that have already occurred but have not yet been recorded by the Company. These are sometimes called late reported claims.

Recalling from Section III, late reported claims are grouped by the lag period between the date on which the claim occurred (the accident date) and the date when the claim was reported (the record date). For example, all claims occurring in one quarter and reported in the subsequent quarter are classified as Quarterly Lag 1 claims. Loss Reserving uses the two methods to project the amount of pure premium necessary to accurately reserve for IBNR for each accident period.

 

   

Method 1 (Frequency × Severity) projects ultimate counts and ultimate average incurred losses by accident period and lag period. We obtain ultimate frequency by normalizing ultimate counts by calendar period exposures. Then, we obtain the amount of pure premium by taking the product of ultimate frequency and ultimate severity, as illustrated in the identity that follows. This process is detailed in Exhibit E.

 

Ultimate

Frequency

    ×      

Ultimate

Severity

    =      

Ultimate Counts

Earned Exposures

  ×   

Ultimate Losses

Ultimate Counts

   
           =      

Ultimate Counts

Earned Exposures

  ×   

Ultimate Losses

Ultimate Counts

   
           =      

Ultimate Losses

Earned Exposures

   
                   =       Pure Premium

 

   

Method 2 (Losses / Exposures) projects incurred losses by accident period and lag period to ultimate. Then, ultimate losses are normalized by calendar period exposures to determine how many dollars of premium per exposure should be reserved for IBNR claims. This method is used in segments with very short-tailed IBNR.

Once we have projected a needed pure premium for each accident period, we summarize the results as seen in Exhibit D. Exhibit D summarizes four and a half years of required IBNR, by accident quarter. The relevant accident periods are shown in column (3). The most recent period should have the largest proportion of required IBNR, since it is expected to have the largest proportion of unreported claims. Therefore, we will focus on the most recent accident quarter. The following chart shows columns (1) through (9) from the December 2010 row of Exhibit D:

 

Column   Description    Amount  
   
(1)   Prior Review Future Pure Premium      $35.65   
(2)   Calculated Pure Premium using 6-mo. Emerged      $34.05   
(3)   Quarterly Record w/in Accident Period Ending      Dec-2010   
(4)   Total Future Pure Premium*      $33.52   
(5)   Earned Exposures      23,292   
(6)   Earned Premium      $7,915,198   
(7)   Indicated IBNR = (4) × (5)      $780,765   
(8)   Indicated IBNR Factor = (7) / (6)      9.9%   

(9)

 

 

Current IBNR Factor

 

    

 

11.6%

 

  

 

        

*Pure Premium is defined as Losses per Exposure (or per Earned Car Year).

  

 

Page 26


At the time of the prior review, we projected that the required IBNR reserves were $35.65 per exposure (column (1)) for the most recent accident quarter. However, we now have updated information on claims that have been reported or have emerged since that evaluation date, on accidents that occurred prior to that date. Based upon the emergence over the past 6 months, we now retrospectively project that the required IBNR reserves should have been $34.05 per exposure (column (2)) for the most recent accident quarter. Therefore, the actual emergence has been slightly lower than expected for this period.

Note that the 6 Month Emerged Pure Premium of $34.05 is used in our judgment of future pure premium for accident quarter December 2010. However, it is based upon data from the June 2010 accident quarter because June 2010 is the most recent quarter for which there has been 6 months of emergence. It is a retrospective result because it restates what we would have needed six months ago if we had the next six months of information at that time. The following chart shows the calculation of the retrospective indicated IBNR factor and the retrospective 6-month emerged pure premium for accident quarter June 2010 which are used in our projections for accident quarter December 2010:

 

     
Column    Data for Accident Quarter Ending June 2010   Amount
   
(10)    IBNR Emerged since June 2010   $570,118
(7)    Estimated Future Indicated IBNR   $202,219
(sum)    Retrospective Indicated IBNR @ June 2010 = (10) + (7)   $772,337
(6)    Earned Premium    $7,197,385 
(11)    Retro Indicated IBNR Factor @ June 2010 = (sum) / (6)   10.7%
(5)    Earned Exposures   22,681
(2)    Retro 6-month Emerged Pure Premium = (sum) / (5)   $34.05
          

The following chart shows the first 4 columns of Exhibit D for the eight most recent accident quarters:

 

(1)    (2)    (3)    (4)

Prior Review

Future

Pure Premium

  

Calculated

Pure Premium

Using 6 month

Emerged

  

Quarterly

Record within

Accident Periods

Ending

  

Selected

Total

Future

Pure Prem

5.14    3.8    Mar-09    3.44
5.69    4.08    Jun-09    4.00
6.81    5.14    Sep-09    4.78
7.58    5.64    Dec-09    5.47
8.95    6.28    Mar-10    6.59
11.31    8.52    Jun-10    8.92
15.82    13.83    Sep-10    11.74
35.65    34.05    Dec-10    33.52

If you compare all of column (2) to column (1) on Exhibit D, you can see that we have generally experienced favorable IBNR emergence. As stated at the beginning of this section, the results of this case study are not intended to represent the actual results of the Company. Our intent is to illustrate and discuss issues that we consider during an analysis. The result in this case study may be due to:

 

   

Fewer claims than expected were reported (i.e., lower frequency than expected).

   

The severity of the late reported claims has been lower than expected.

   

There may have been a process change that impacts the timing of claim reporting and/or the severity of late reported claims.

 

Page 27


   

There may be external forces that impact timing of claim reporting and/or the severity of the late reported claims.

Our selected pure premiums are based upon the actual emergence and development of late reported claims (by reporting lag period within each accident period). They also include an expected level of inflation, since our current IBNR reserves need to be at the cost level that is relevant to each respective accident and record period. The selected Future Pure Premiums are shown in column (4). We selected $33.52 per exposure for the most recent accident period. The details of the calculations that make up these Future Pure Premiums are included in Exhibit E, and explained later in this section.

The following chart shows columns (3) through (9) of Exhibit D for the eight most recent accident quarters:

 

(3)    (4)    (5)    (6)    (7) = (4) × (5)    (8) = (7) / (6)    (9)     

Quarterly

Rec w/n Acc Periods

Ending

  

Total

Future

Pure Prem

   Earned Exposures    Earned Premium   

Indicated

IBNR

  

Indicated

IBNR

Factors

  

Current

IBNR

Factors

    

 

Mar-09

   3.44    26,502    7,425,622    91,225    1.2%    3.0%     
Jun-09    4.00    24,379    7,323,851    97,579    1.3%    3.1%     
Sep-09    4.78    25,217    7,089,295    120,576    1.7%    4.1%     
Dec-09    5.47    26,942    6,917,614    147,457    2.1%    4.5%     
Mar-10    6.59    22,123    7,035,903    145,689    2.1%    4.9%     
Jun-10    8.92    22,681    7,197,385    202,219    2.8%    5.7%     
Sep-10    11.74    24,375    7,246,432    286,051    3.9%    6.9%     
Dec-10    33.52    23,292    7,915,198    780,765    9.9%    11.6%     

The indicated IBNR in column (7) represents the expected late emergence of features that have been incurred but not yet recorded for each respective accident period. In order to calculate the expected amount of late reported losses, we multiply pure premium, defined as losses per exposure, by the number of exposures during that period (column (5)). For the accident quarter ending December 2010 shown above, this calculation is as follows:

 

Indicated IBNR      =       Future Pure Premium      ×       Earned Exposures
   
       =       33.52      ×       23,292
   
       =       780,765              

In order to carry the appropriate level of IBNR reserves in the Company’s financials, we assign IBNR factors to each trailing 3-month period of earned premium. Therefore, our IBNR reserves will change as our premium volume changes. Assuming profitability remains consistent, this should allow our IBNR reserves to keep up with inflation and changes in mix of business for months in which we do not complete a review.

The indicated IBNR factors in column (8) are then calculated by dividing the indicated IBNR losses by earned premium, as shown in the following example for the accident quarter ending December 2010:

 

Page 28


Indicated IBNR Factor      =      

Indicated IBNR Losses

Earned Premium

   
       =      

$780,765

$7,915,198

   
       =       9.9%

The indicated factors in column (8) are less than the current factors in column (9). This is not surprising since we experienced favorable emergence. We test the reasonableness of our indicated factors in column (8) by comparing these to the factors in column (11) which result from the actual emergence over the past 6 months added to the expected future emergence for each respective accident quarter. This information is shown in the following excerpt from Exhibit D:

 

(3)

   (8)    (11)

Quarterly

      6-mo

Record w/n

      Emerged

Accident

   Indicated    Indicated

Periods

   IBNR    IBNR

Ending

  

Factors

  

Factors

Sep-08

      1.2%

Dec-08

        1.5%

Mar-09

   1.2%    1.8%

Jun-09

   1.3%    1.9%

Sep-09

   1.7%    2.2%

Dec-09

   2.1%    3.3%

Mar-10

   2.1%    4.3%

Jun-10

   2.8%    10.7%

Sep-10

   3.9%     

Dec-10

   9.9%     

Each indicated factor from the current evaluation in column (8) would be compared to the emerged indicated factors in column (11) from two quarters prior (that is, two rows up). This shows that the selected indicated factors are reasonable, based upon the recent emergence patterns.

The bottom portion of Exhibit D summarizes the IBNR reserve adequacy by comparing the indicated IBNR reserves to the carried (or held) IBNR reserves. This is summarized below:

 

IBNR Reserves
   

Indicated [Sum of column (7)]

   2,317,000
   

Held IBNR Reserves

   4,404,000
   

Adequacy = Held Indicated

   2,086,000

The indicated IBNR of $2,086,000 at the bottom of column (7) is the sum of the indicated IBNR for all accident periods, based upon the calculations as illustrated above. The carried IBNR of $4,404,000 is equal to each of the current IBNR factors in column (9) multiplied by each of the quarterly earned premium values in column (6). The calculation shows that our IBNR reserves are adequate by $2,317,000.

 

Page 29


As mentioned previously, IBNR Reserves = Total Reserves – Case Reserves.

 

         

IBNR Reserve Adequacy

(Expected)

   =   

Total Reserve Adequacy

(Accident Period Analysis)

     

Case Reserve Adequacy

(Record Period Analysis)

     =    $844,000       ($1,029,000)
     =   

$1,873,000

 

       
         

Difference in IBNR

Adequacy

   =   

Adequacy per IBNR

Analysis

(per separate analysis)

     

Expected IBNR Adequacy

(Acc. Period – Rec Period)

      =    $2,086,000       $1,873,000
     =   

$213,000

 

         

Since our total carried loss reserves for this segment are $28,038,000 (as shown on Exhibit A), this difference in IBNR adequacy of $213,000 is approximately 0.8%. We conclude that this is a reasonable difference.

We may revise our IBNR factors in the indicated direction, in order to move our carried IBNR reserves toward the indicated amount. By decreasing IBNR reserves and increasing case reserves, we would obtain a reserve level that is consistent with our indications. Therefore, the case, IBNR and total loss reserves for this segment will be a reasonable provision for the expected future payments on claims for which we are liable.

IBNR for coverages such as PIP, Property Damage, and Physical Damage includes consideration of future salvage and subrogation recoveries, which can lead to distortions in the indicated pure premiums. To address this, the model has been enhanced to allow the analyst to develop salvage recoveries, subrogation recoveries, and gross losses separately.

Net Losses = Gross Losses – Salvage Recoveries – Subrogation Recoveries

This result is compared to the analysis using net losses as a reasonableness check to determine if the pure premium selections make sense.

 

Page 30


Exhibit E

Page 1

State XYZ Auto BI as of December 31, 2010

 

Quarterly
Rec w/n Acc
Periods
   

INCURRED COUNTS QUARTERLY LAG 1 - IBNR ANALYSIS

 

Ending

   

0

  

1

  

2

    

3

    

4

    

5

    

6

    

7

   

Ultimate

  Sep-06      123      111        103           100           97           96           95           93        92
  Dec-06      109      95        88           84           83           82           80           79        78
  Mar-07      111      103        100           99           97           92           92           91        90
  Jun-07      83      80        76           75           73           73           73           71        71
  Sep-07      129      120        117           114           109           107           107           107        106
  Dec-07      113      102        98           94           94           88           87           86        86
  Mar-08      134      120        117           110           109           107           105           105        103
  Jun-08      128      114        111           108           107           106           104           102        101
  Sep-08      145      140        135           127           125           125           124           123        123
  Dec-08      126      115        110           108           107           106           103           103        102
  Mar-09      95      92        89           86           85           83           81           80
  Jun-09      118      111        109           106           104           102              99
  Sep-09      134      122        119           117           117                 111
  Dec-09      132      116        112           109                    103
  Mar-10      115      109        105                       96
  Jun-10      139      118                       104
  Sep-10      148                          120
 

0-1

  

1-2

     2-3         3-4         4-5         5-6         6-7         7-8     
  Sep-06      0.902      0.928        0.971           0.970           0.990           0.990           0.979           1.000       
  Dec-06      0.872      0.926        0.955           0.988           0.988           0.976           0.988           1.000       
  Mar-07      0.928      0.971        0.990           0.980           0.948           1.000           0.989           0.989       
  Jun-07      0.964      0.950        0.987           0.973           1.000           1.000           0.973           1.000       
  Sep-07      0.930      0.975        0.974           0.956           0.982           1.000           1.000           0.991       
  Dec-07      0.903      0.961        0.959           1.000           0.936           0.989           0.989           1.000       
  Mar-08      0.896      0.975        0.940           0.991           0.982           0.981           1.000           0.981       
  Jun-08      0.891      0.974        0.973           0.991           0.991           0.981           0.981           0.990       
  Sep-08      0.966      0.964        0.941           0.984           1.000           0.992           0.992           1.000       
  Dec-08      0.913      0.957        0.982           0.991           0.991           0.972           1.000          
  Mar-09      0.968      0.967        0.966           0.988           0.976           0.976             
  Jun-09      0.941      0.982        0.972           0.981           0.981                
  Sep-09      0.910      0.975        0.983           1.000                   
  Dec-09      0.879      0.966        0.973                      
  Mar-10      0.948      0.963                      
  Jun-10      0.849                         
  Straight Avg      0.916      0.962        0.969           0.984           0.980           0.987           0.989           0.995       
  Avg x HiLo      0.917      0.964        0.970           0.985           0.983           0.987           0.990           0.996       
  Wtd Avg All      0.914      0.963        0.968           0.984           0.981           0.987           0.990           0.994       
  Avg Last 8      0.922      0.969        0.966           0.991           0.980           0.986           0.990           0.994       
  Wt Avg.8      0.919      0.968        0.966           0.991           0.981           0.986           0.991           0.993       
  Avg Last 4      0.896      0.972        0.974           0.990           0.987           0.980           0.993           0.993       
  Wt Avg.4      0.894      0.972        0.974           0.990           0.988           0.981           0.993           0.993       
  Select      0.922      0.969        0.966           0.991           0.980           0.986           0.990           0.994       
  Cumulative      0.813      0.882        0.911           0.942           0.951           0.971           0.984           0.994       
                        
  Ult Counts      120          104          96         103         111         99         80         102     

 

Page 31


Exhibit E

Page 2

State XYZ Auto BI as of December 31, 2010

 

Quarterly

Rec w/n Acc

Periods

    

INCURRED QUARTERLY LAG 0-7 FREQUENCIES - IBNR ANALYSIS

 

 
                                                     

Ending

    

0

   

1

   

2

   

3

   

4

   

5

   

6

   

7

 
  Sep-06         2.050%          0.416%          0.172%          0.050%          0.054%          0.086%          0.059%          0.077%     
  Dec-06         1.973%          0.335%          0.155%          0.082%          0.069%          0.047%          0.026%          0.073%     
  Mar-07         1.623%          0.293%          0.098%          0.088%          0.068%          0.059%          0.049%          0.046%     
  Jun-07         1.515%          0.221%          0.122%          0.044%          0.050%          0.031%          0.034%          0.031%     
  Sep-07         1.499%          0.333%          0.116%          0.050%          0.075%          0.053%          0.022%          0.025%     
  Dec-07         1.611%          0.278%          0.104%          0.058%          0.029%          0.023%          0.049%          0.039%     
  Mar-08         1.899%          0.355%          0.134%          0.076%          0.059%          0.052%          0.045%          0.034%     
  Jun-08         2.101%          0.370%          0.147%          0.088%          0.040%          0.037%          0.040%          0.026%     
  Sep-08         1.937%          0.499%          0.118%          0.069%          0.085%          0.073%          0.041%          0.049%     
  Dec-08         1.495%          0.366%          0.107%          0.050%          0.072%          0.043%          0.021%          0.029%     
  Mar-09         1.883%          0.301%          0.128%          0.072%          0.045%          0.045%          0.057%          0.038%     
  Jun-09         2.022%          0.406%          0.127%          0.082%          0.070%          0.053%          0.082%       
  Sep-09         1.844%          0.441%          0.059%          0.091%          0.063%          0.059%         
  Dec-09         1.511%          0.381%          0.063%          0.056%          0.067%           
  Mar-10         2.482%          0.432%          0.081%          0.095%             
  Jun-10         2.394%          0.459%          0.132%               
  Sep-10         2.437%          0.494%                 
  Dec-10         2.220%                   
  

 

 

 

State XYZ Auto BI as of December 31, 2010

 

  

Quarterly

Rec w/n Acc

Periods

    

INFLATED INCURRED QUARTERLY LAG 0-7 FREQUENCIES - IBNR ANALYSIS

 

 

Ending

    

0

   

1

   

2

   

3

   

4

   

5

   

6

   

7

 
  Sep-06         2.235%          0.452%          0.186%          0.053%          0.058%          0.091%          0.062%          0.081%     
  Dec-06         2.141%          0.362%          0.166%          0.087%          0.073%          0.050%          0.027%          0.077%     
  Mar-07         1.752%          0.314%          0.104%          0.093%          0.072%          0.062%          0.051%          0.047%     
  Jun-07         1.628%          0.237%          0.129%          0.046%          0.053%          0.033%          0.036%          0.032%     
  Sep-07         1.603%          0.354%          0.123%          0.053%          0.079%          0.056%          0.023%          0.026%     
  Dec-07         1.714%          0.294%          0.109%          0.061%          0.030%          0.023%          0.050%          0.040%     
  Mar-08         2.011%          0.374%          0.141%          0.079%          0.061%          0.053%          0.046%          0.035%     
  Jun-08         2.213%          0.388%          0.153%          0.091%          0.042%          0.038%          0.041%          0.026%     
  Sep-08         2.031%          0.520%          0.122%          0.071%          0.087%          0.075%          0.041%          0.049%     
  Dec-08         1.559%          0.380%          0.111%          0.051%          0.073%          0.044%          0.022%          0.029%     
  Mar-09         1.954%          0.311%          0.132%          0.073%          0.046%          0.046%          0.057%          0.038%     
  Jun-09         2.088%          0.417%          0.130%          0.083%          0.071%          0.054%          0.082%       
  Sep-09         1.895%          0.451%          0.061%          0.092%          0.064%          0.060%         
  Dec-09         1.545%          0.388%          0.064%          0.056%          0.067%           
  Mar-10         2.525%          0.438%          0.082%          0.095%             
  Jun-10         2.424%          0.462%          0.133%               
  Sep-10         2.455%          0.495%                 
  Dec-10         2.225%                   

 

 

 

Straight Avg

 

  

     2.000%          0.390%          0.122%          0.073%          0.063%          0.053%          0.045%          0.044%     
    Avg x HiLo         1.995%          0.392%          0.121%          0.073%          0.063%          0.052%          0.043%          0.042%     
     Avg Last 8         2.139%          0.418%          0.104%          0.077%          0.064%          0.049%          0.045%          0.034%     
    Avg Last 4         2.407%          0.446%          0.085%          0.082%          0.062%          0.051%          0.051%          0.035%     
  Prior Select         2.097%          0.424%          0.097%          0.075%          0.069%          0.050%          0.038%          0.038%     
                
  Select         2.407%          0.446%          0.085%          0.077%          0.062%          0.051%          0.045%          0.035%     

 

Page 32


Exhibit E

Page 3

State XYZ Auto BI as of December 31, 2010

 

      Quarterly

Rec w/n Acc

        Periods

    

 

AVERAGE INCURRED LOSSES QUARTERLY LAG 1 - IBNR ANALYSIS

 

Ending

  

0

    

1

    

2

    

3

    

4

    

5

    

6

    

7

   

Ultimate

        Sep-06

     4,038           4,667           4,572           4,787           4,583           4,628           4,570           4,553        4,553  

        Dec-06

     5,166           6,346           6,523           6,938           6,433           6,357           6,498           6,467        6,467  

        Mar-07

     6,321           7,033           6,836           7,297           7,800           9,491           9,237           9,437        9,437  

        Jun-07

     11,158           12,411           12,316           14,329           14,256           13,567           12,090           13,186        13,186  

        Sep-07

     5,908           6,186           6,070           6,110           5,639           5,592           5,492           5,424        5,424  

        Dec-07

     12,425           14,019           13,560           13,645           13,015           13,832           14,049           14,180        14,180  

        Mar-08

     8,608           9,094           8,050           8,086           7,951           8,025           8,324           7,966        7,966  

        Jun-08

     9,950           9,053           8,064           7,659           7,656           7,425           7,130           7,361        7,361  

        Sep-08

     6,553           6,446           5,901           5,897           5,806           5,640           5,635           5,626        5,626  

        Dec-08

     7,502           7,868           8,045           7,749           7,447           7,227           7,274           7,242        7,242  

        Mar-09

     9,533           8,638           9,666           9,537           9,479           9,676           10,276           10,363  

        Jun-09

     4,014           3,604           3,607           3,537           3,398           3,199              3,207  

        Sep-09

     3,908           3,643           3,218           3,919           3,337                 3,320  

        Dec-09

     5,850           6,041           5,400           5,301                    5,068  

        Mar-10

     4,815           4,555           4,447                       4,430  

        Jun-10

     4,023           5,269                          5,053  

        Sep-10

     4,553                             4,606  
    

0-1

    

1-2

    

2-3

    

3-4

    

4-5

    

5-6

    

6-7

    

7-8

     

        Sep-06

     1.156           0.980           1.047           0.957           1.010           0.988           0.996           0.997       

        Dec-06

     1.229           1.028           1.064           0.927           0.988           1.022           0.995           0.994       

        Mar-07

     1.113           0.972           1.067           1.069           1.217           0.973           1.022           1.020       

        Jun-07

     1.112           0.992           1.163           0.995           0.952           0.891           1.091           0.985       

        Sep-07

     1.047           0.981           1.007           0.923           0.992           0.982           0.988           1.001       

        Dec-07

     1.128           0.967           1.006           0.954           1.063           1.016           1.009           0.992       

        Mar-08

     1.056           0.885           1.004           0.983           1.009           1.037           0.957           1.034       

        Jun-08

     0.910           0.891           0.950           1.000           0.970           0.960           1.032           0.975       

        Sep-08

     0.984           0.915           0.999           0.985           0.971           0.999           0.998           0.974       

        Dec-08

     1.049           1.022           0.963           0.961           0.970           1.007           0.996          

        Mar-09

     0.906           1.119           0.987           0.994           1.021           1.062             

        Jun-09

     0.898           1.001           0.981           0.961           0.941                

        Sep-09

     0.932           0.883           1.218           0.852                   

        Dec-09

     1.033           0.894           0.982                      

        Mar-10

     0.946           0.976                         

        Jun-10

     1.310                            

 

    Straight Avg

     1.050           0.967           1.031           0.966           1.009           0.994           1.008           0.997       

  Avg x HiLo

     1.043           0.962           1.023           0.967           0.995           0.998           1.005           0.995       

Wtd Avg All

     1.046           0.970           1.029           0.973           1.013           0.990           1.014           0.997       

  Avg Last 8

     1.007           0.963           1.010           0.961           0.992           0.994           1.012           0.997       

    Wt Avg.8

     0.997           0.970           0.995           0.968           1.004           0.990           1.017           0.997       

  Avg Last 4

     1.055           0.939           1.042           0.942           0.976           1.007           0.996           0.994       

    Wt Avg.4

     1.049           0.934           1.018           0.956           0.985           1.012           0.994           0.995       

      Select

     1.055           0.963           1.042           0.961           0.992           0.994           1.012           0.997       

Cumulative

     1.012           0.959           0.996           0.956           0.995           1.003           1.008           0.997       
                         

Avg Ult Loss

     4,606           5,053           4,430           5,068           3,320           3,207           10,363           7,220       

 

Page 33


Exhibit E

Page 4

State XYZ Auto BI as of December 31, 2010

 

Quarterly

Rec w/n Acc

Periods

  

AVERAGE INCURRED LOSSES QUARTERLY LAG 0-7 - IBNR ANALYSIS

 

Ending

  

0

  

1

  

2

  

3

  

4

  

5

  

6

  

7

Sep-06    5,780      4,553      3,623    1,862    2,926    269    1,871    1,316
Dec-06    7,277      6,467      6,295    5,089    2,159    2,002    3,312    560
Mar-07    7,877      9,437      2,993    13,307    3,799    4,477    1,781    1,277
Jun-07    8,420      13,186      6,539    10,352    7,313    5,099    2,573    1,994
Sep-07    10,954      5,424      5,001    11,964    1,530    3,500    15,290    2,680
Dec-07    9,699      14,180      7,829    15,638    4,694    4,620    1,086    885
Mar-08    11,625      7,966      3,305    5,106    2,059    7,940    6,892    686
Jun-08    8,594      7,361      3,367    7,047    8,354    (5,836)    7,446    2,121
Sep-08    8,758      5,626      4,826    6,784    811    794    1,330    1,798
Dec-08    9,637      7,242      2,311    2,146    1,797    1,316    2,929    880
Mar-09    8,758      10,363      5,567    1,961    2,031    1,375    1,994    1,515
Jun-09    8,004      3,207      2,494    2,605    818    1,827    805     
Sep-09    7,260      3,320      2,330    2,306    1,849    549          
Dec-09    7,991      5,068      2,383    3,237    1,860               
Mar-10    6,832      4,430      5,893    2,580                    
Jun-10    6,046      5,053      2,063                         
Sep-10    6,113      4,606                                
Dec-10    6,208                                     
   State XYZ Auto BI as of December 31, 2010

Quarterly

Rec w/n Acc

Periods

  

INFLATED AVERAGE INCURRED LOSSES QUARTERLY LAG 0-7 - IBNR ANALYSIS

 

Ending

  

0

  

1

  

2

  

3

  

4

  

5

  

6

  

7

Sep-06

   6,303    4,940    3,912    2,001    3,128    286    1,980    1,386

Dec-06

   7,896    6,983    6,763    5,441    2,297    2,120    3,489    587

Mar-07

   8,505    10,140    3,200    14,157    4,022    4,716    1,867    1,332

Jun-07

   9,047    14,098    6,957    10,959    7,703    5,344    2,683    2,069

Sep-07

   11,712    5,771    5,293    12,602    1,603    3,651    15,869    2,768

Dec-07

   10,318    15,011    8,247    16,391    4,896    4,795    1,122    909

Mar-08

   12,306    8,392    3,464    5,325    2,136    8,200    7,083    702

Jun-08

   9,053    7,715    3,512    7,313    8,627    (5,997)    7,614    2,158

Sep-08

   9,180    5,868    5,008    7,006    834    812    1,353    1,820

Dec-08

   10,052    7,516    2,387    2,206    1,837    1,339    2,966    887

Mar-09

   9,089    10,702    5,720    2,005    2,067    1,392    2,009    1,519

Jun-09

   8,266    3,296    2,551    2,651    828    1,841    807   

Sep-09

   7,460    3,395    2,370    2,334    1,862    550      

Dec-09

   8,171    5,157    2,413    3,261    1,865         

Mar-10

   6,952    4,485    5,937    2,586            

Jun-10

   6,122    5,090    2,068               

Sep-10

   6,159    4,618                  

Dec-10

   6,224                     

Straight Avg

   8,490    7,246    4,363    6,416    3,122    2,235    4,070    1,467

Avg x HiLo

   8,399    6,991    4,249    5,988    2,854    2,441    3,216    1,420

Avg Last 8

   7,305    5,532    3,557    3,670    2,507    1,617    4,853    1,604

Avg Last 4

   6,364    4,837    3,197    2,708    1,655    1,281    1,784    1,596

Prior Select

   7,176    4,083    3,264    2,299    1,391    1,181    2,031    1,397

Select

   6,364    4,837    3,197    2,708    1,655    1,617    1,784    1,596

 

Page 34


Exhibit E

Page 5

State XYZ Auto BI as of December 31, 2010

FUTURE PURE PREMIUMS BY QUARTERLY LAG

 

        Lag Quarter    0      1      2      3      4      5      6      7      8 -27  

        Selected PP

     153.196         21.559         2.709         2.079         1.025         0.820         0.808         0.567         3.402   

 

Quarterly

Rec w/n Acc

Periods

Ending

 

 

FUTURE PURE PREMIUMS BY QUARTERLY LAG, INFLATED

 

 
                      

Total

Future

Pure Prem

   
 

0

 

1

 

2

 

3

 

4

 

5

 

6

 

7

 

8 -27 

        

Sep-06

                  0.596          0.60      

Dec-06

                  0.784          0.78      

Mar-07

                  0.975          0.98      

Jun-07

                  1.161          1.16      

Sep-07

                  1.350          1.35      

Dec-07

                  1.540          1.54      

Mar-08

                  1.731          1.73      

Jun-08

                  2.153          2.15      

Sep-08

                  2.578          2.58      

Dec-08

                  3.008          3.01      

Mar-09

                  3.442          3.44      

Jun-09

                0.572   3.430          4.00      

Sep-09

              0.816   0.578   3.388          4.78      

Dec-09

            0.828   0.824   0.583   3.238          5.47      

Mar-10

          1.035   0.836   0.832   0.589   3.293          6.59      

Jun-10

        2.100   1.045   0.844   0.840   0.595   3.491          8.92      

Sep-10

      2.736   2.121   1.055   0.853   0.849   0.601   3.522          11.74      

Dec-10

    21.771   2.763   2.141   1.066   0.861   0.857   0.607   3.455          33.52      
Inflation rate used in IBNR calculation:   4.0%                 

 

Page 35


Exhibit E – IBNR Analysis

In order to estimate the indicated level of IBNR reserves, we need to estimate the expected future pure premiums by accident quarter. These selected pure premiums are shown in column (4) of Exhibit D. They are determined by estimating the ultimate frequency and ultimate severity for each report lag period. We then sum the estimated future pure premiums for each report lag period within each accident quarter, adjusted for inflation. We select these lag pure premiums by grouping the incurred count and average incurred loss data by lag period. We then sort and analyze the data by accident quarter for each lag period. Exhibit E summarizes the steps involved in this process.

Step 1: Select ultimate counts by accident period for each report lag group. We do this for 8 quarterly lag groups (from Quarterly Lag 0 through Quarterly Lag 7) and for 5 annual lag groups (from Annual Lag 2 through Annual Lag 6).

The Quarterly Lag 0 triangle includes all counts that are recorded in the same quarter in which the accidents occurred. Therefore, these are the recorded counts as of the end of the accident quarter. The Quarterly Lag 1 triangle includes all counts that are recorded in the quarter following the quarter in which the accidents occurred. The following chart is an excerpt from page 1 of Exhibit E, showing the development of incurred counts for the Quarterly Lag 1 group by accident quarter, as well as the selected LDFs and ultimate feature counts:

 

       

Quarterly

Rec w/n Acc

   INCURRED COUNTS QUARTERLY LAG 1 - IBNR ANALYSIS       

Periods

Ending

  

0

  

1

  

2

  

3

  

4

  

Ultimate  

   

 

Jun-09

   118    111    109    106    104    99      

 

Sep-09

   134    122    119    117    117    111      

 

Dec-09

   132    116    112    109       103      

 

Mar-10

   115    109    105          96      

 

Jun-10

   139    118             104      

 

Sep-10

   148                120      
   
    

0-1

  

1-2

  

2-3

  

3-4

  

4-5

      

 

Jun-09

   0.941    0.982    0.972    0.981    0.981       

 

Sep-09

   0.91    0.975    0.983    1.000          

 

Dec-09

   0.879    0.966    0.973             

 

Mar-10

   0.948    0.963                

 

Jun-10

   0.849                   
   
Avg Last 8    0.922    0.969    0.966    0.991    0.980       

 

Average Last 4

   0.896    0.972    0.974    0.99    0.987       

 

Select

   0.922    0.969    0.966    0.991    0.980       

 

Cumulative

 

  

0.812

 

  

0.881

 

  

0.91

 

  

0.942

 

  

0.951

 

      

Ult Counts =

Last Diagonal

× Cumulative

   120    104    96    103    111             

The development column labeled “0” represents the incurred losses evaluated as of the end of the quarter that the claims were recorded. For example, the Red amount of 148 in the above chart represents the number of incurred features for claims that occurred in the quarter ending September 2010 that were recorded in the quarter ending December 2010 (i.e. one lag quarter), evaluated as of the end of December 2010. We note that the accident quarter ending December

 

Page 36


2010 has not yet experienced any Quarterly Lag 1 claims (since those would be recorded in the future, i.e., the first quarter of 2011). Thus, the most recent accident period in the Quarterly Lag 1 triangle is September 2010.

In order to select LDFs for the IBNR analysis, we go through a process similar to what we do for the accident period and record period analyses. We use averages of the link ratios, as well as judgment in the selection process. We go through this selection process for each of the report lag groups.

Step 2: Summarize projected ultimate counts for all lag groups into an exhibit like that shown below. Note that the selected ultimate counts from the Quarterly Lag 1 analysis (above) are transferred to this chart in the Quarterly Lag 1 column.

 

     Quarterly                                

[From col (5)

        
     Rec w/n Acc    INCURRED COUNTS QUARTERLY LAG 1-6 - IBNR ANALYSIS  

of Exh D]

    
     Periods                    

Earned

    
    

Ending

  

1

  

2

  

3

  

4

  

5

  

6

 

Exposures

    
     Jun-09    99    31    20    17    13    20  

24,379

    
     Sep-09    111    15    23    16    15     

25,217

    
     Dec-09    103    17    15    18        

26,942

    
     Mar-10    96    18    21           

22,123

    
     Jun-10    104    30              

22,681

    
     Sep-10    120                           

24,375

        

Step 3: Calculate projected ultimate frequency for all lag groups by dividing the projected ultimate feature count for each accident quarter by the corresponding calendar period earned exposures (from column (5) of Exhibit D). An excerpt from page 2 of Exhibit E is shown below.

 

     Quarterly                                

[From col (5)

        
     Rec w/n Acc    INCURRED QUARTERLY LAG 1-6 FREQUENCY - IBNR ANALYSIS  

of Exh D]

    
     Periods                    

Earned

    
    

Ending

  

1

  

2

  

3

  

4

  

5

  

6

 

Exposures

    
     Jun-09    0.406%    0.127%    0.082%    0.070%    0.053%    0.082%  

24,379

    
     Sep-09    0.441%    0.059%    0.091%    0.063%    0.059%     

25,217

    
     Dec-09    0.381%    0.063%    0.056%    0.067%        

26,942

    
     Mar-10    0.432%    0.081%    0.095%           

22,123

    
     Jun-10    0.459%    0.132%              

22,681

    
     Sep-10    0.494%                           

24,375

        

Step 4: Trend ultimate frequencies to the level of the Last Diagonal using the selected Annual IBNR Frequency Trend. We have selected an Annual IBNR Frequency Trend of +2.0%. This is based upon judgment, considering the historical frequency trends for this segment. This is done because our objective is to estimate the required IBNR Reserves as of the current date, so we adjust the losses to the current cost level. The following chart is from the bottom of page 2 of Exhibit E and illustrates this point:

 

Page 37


Quarterly

                             

Rec w/n Acc

   INFLATED INCURRED QUARTERLY LAG 1-6 FREQUENCY - IBNR ANALYSIS

Periods

   (using a +2.0% IBNR Frequency Trend)

Ending

   1    2    3    4    5    6

Jun-09

   0.417%    0.130%    0.083%    0.071%    0.054%    0.082%

Sep-09

   0.451%    0.061%    0.092%    0.064%    0.060%     

Dec-09

   0.388%    0.064%    0.056%    0.067%        

Mar-10

   0.438%    0.082%    0.095%           

Jun-10

   0.462%    0.133%              

Sep-10

   0.495%                         

Note that the June 2010 Quarterly Lag 1 inflated frequency of 0.462% is equal to the projected ultimate frequency of 0.459% from the previous chart, adjusted for one quarter of the 2.0% annual trend to bring its value forward one quarter to the level of the Last Diagonal:

0.459% × 1.021/4 = 0.462%

Step 5: Select projected frequency for each lag period as shown at the bottom of the following chart:

 

Quarterly

Rec w/n Acc

   INFLATED INCURRED QUARTERLY LAG 1-6 FREQUENCY - IBNR ANALYSIS

Periods

   (using a +2.0% IBNR Frequency Trend)

Ending

   1    2    3    4    5    6

Jun-09

   0.417%    0.130%    0.083%    0.071%    0.054%    0.082%

Sep-09

   0.451%    0.061%    0.092%    0.064%    0.060%     

Dec-09

   0.388%    0.064%    0.056%    0.067%        

Mar-10

   0.438%    0.082%    0.095%           

Jun-10

   0.462%    0.133%              

Sep-10

   0.495%                 
   

Avg Last 8

   0.418%    0.104%    0.077%    0.064%    0.049%    0.045%

Avg Last 4

   0.446%    0.085%    0.082%    0.062%    0.051%    0.051%

Prior Select

 

  

0.423%

 

  

0.097%

 

  

0.075%

 

  

0.069%

 

  

0.050%

 

  

0.038%

 

Select

   0.446%    0.085%    0.077%    0.062%    0.051%    0.045%

Step 6: Select ultimate severity by accident period for each report lag group. We do this for 8 quarterly lag groups (from Quarterly Lag 0 through Quarterly Lag 7), and for 5 annual lag groups (from Annual Lag 2 through Annual Lag 6).

The following chart is an excerpt from page 3 of Exhibit E, showing the development of average incurred losses for the Quarterly Lag 1 group by accident quarter, as well as the selected LDFs and ultimate severities:

 

Page 38


                                      
      

Quarterly

Record w/in

Accident

Period Ending

               
         AVERAGE INCURRED LOSS QUARTERLY LAG 1 - IBNR ANALYSIS    
                      
            

0

 

1

 

2

 

3

 

4

 

Ultimate

    
      

Jun-09

  4,014   3,604   3,607   3,537   3,398   3,207    
      

Sep-09

  3,908   3,643   3,218   3,919   3,337   3,320    
      

Dec-09

  5,850   6,041   5,400   5,301     5,068    
      

Mar-10

  4,815   4,555   4,447       4,430    
      

Jun-10

  4,023   5,269         5,053    
      

Sep-10

  4,553           4,606    
   
        

0-1

 

1-2

 

2-3

 

3-4

 

4-5

     
      

Jun-09

  0.898   1.001   0.981   0.961   0.941      
      

Sep-09

  0.932   0.883   1.218   0.852        
      

Dec-09

  1.033   0.894   0.982          
      

Mar-10

  0.946   0.976            
      

Jun-10

  1.31              
   
      

Average Last 8

  1.007   0.963   1.01   0.961   0.992      
      

Average Last 4

  1.055   0.939   1.042   0.942   0.976      
      

Select

  1.055   0.963   1.042   0.961   0.992      
      

Cumulative

  1.012   0.959   0.996   0.956   0.995      
                      
    

Ult Severity =

Last Diagonal

 

4,606

  5,053   4,430   5,068   3,320      
        

× Cumulative

                         
                                      

Step 7: Summarize projected ultimate severity for all lag groups into an exhibit like that shown on page 4 of Exhibit E. A section from this exhibit is shown below. Note that the selected ultimate severities from the Quarterly Lag 1 analysis (above) are transferred to this chart in the Quarterly Lag 1 column.

 

Quarterly

                             

Rec w/n Acc

   AVG INCURRED LOSS QUARTERLY LAG 1-6 - IBNR ANALYSIS

Periods

                   

Ending

  

1

  

2

  

3

  

4

  

5

  

6

Jun-09    3,207    2,494    2,605    818    1,827    805
Sep-09    3,320    2,330    2,306    1,849    549     
Dec-09    5,068    2,383    3,237    1,860        
Mar-10    4,430    5,893    2,580           
Jun-10    5,053    2,063              
Sep-10    4,606                 
                               

Step 8: Trend ultimate severities to the level of the Last Diagonal using the selected Annual IBNR Severity Trend. We have selected an Annual IBNR Severity Trend of +2.0%. This is based upon judgment, considering the historical severity trends for this segment. This is done because our objective is to estimate the required IBNR Reserves as of the current date, so we adjust the losses to the current cost level. The following chart is from the bottom of page 4 of Exhibit E and illustrates this point once again:

 

Page 39


Quarterly                                                  
Rec w/n Acc    INFLATED AVG INCURRED LOSS QUARTERLY LAG 1-6 - IBNR ANALYSIS   

Periods

   (using a +2.0% IBNR Severity Trend)   

Ending

  

1

     2         3         4         5         6   

Jun-09

   3,296      2,551         2,651         828         1,841         807   

Sep-09

   3,395      2,370         2,334         1,862         550        

Dec-09

   5,157      2,413         3,261         1,865           

Mar-10

   4,485      5,937         2,586              

Jun-10

   5,090      2,068                 

Sep-10

   4,618                 
                                                   

Note that the June 2010 Quarterly Lag 1 inflated severity of $5,090 is equal to the projected ultimate severity of $5,053 from the previous chart, adjusted for one quarter of the +2.0% annual severity trend to bring its monetary value forward one quarter to the level of the Last Diagonal:

$5,053 × 1.021/4 = $5,090

Step 9: Select projected severity for each lag period as shown at the bottom of the following chart:

 

    Quarterly                            
   

Rec w/n Acc

  INFLATED AVG INCURRED LOSS QUARTERLY LAG 1-6 - IBNR ANALYSIS    
   

Periods

               
   

Ending

 

1

 

2

 

3

 

4

 

5

 

6

    
   

Jun-09

  3,296   2,551   2,651   828   1,841   807    
   

Sep-09

  3,395   2,370   2,334   1,862   550      
   

Dec-09

  5,157   2,413   3,261   1,865        
   

Mar-10

  4,485   5,937   2,586          
   

Jun-10

  5,090   2,068            
   

Sep-10

  4,618              
                   
   

Avg Last 8

  5,532   3,557   3,670   2,507   1,617   4,853    
   

Avg Last 4

  4,837   3,197   2,708   1,655   1,281   1,784    
   

Prior Select

  4,083   3,264   2,299   1,391   1,181   2,031    
   

Select

  4,837   3,197   2,708   1,655   1,617   1,784    
                                 

Step 10: Compute projected pure premiums by taking the product of Ultimate Frequency and Ultimate Severity for each lag period. The chart below summarizes the selected ultimate frequency (page 2 of Exhibit E), the selected ultimate severity (page 4 of Exhibit E), and the calculated ultimate pure premium (page 5 of Exhibit E) for each of Quarterly Lag 0 through Quarterly Lag 7:

 

Lag Period

     0        1        2        3        4        5        6        7   

Ult Frequency

     2.407     0.446     0.085     0.077     0.062     0.051     0.045     0.035

× Ult Severity

     6,364        4,837        3,197        2,708        1,655        1,617        1,784        1,596   

Ult Pure Prem

     153.20        21.56        2.71        2.08        1.03        0.82        0.81        0.57   

Step 11: Inflate the selected pure premiums by the pure premium trend (of +4.0% annually for this segment) to the future periods for which the claims are expected to be reported.

For example, the selected pure premium for Quarterly Lag 2 is $2.71. The accident quarters that will have future claims recorded two quarters after their occurrence are the accident quarters

 

Page 40


ending September 2010 and December 2010. All accident periods prior to that no longer need IBNR reserves from Quarterly Lag 2 for the current analysis. This is because those accidents have already been recorded as of the end of December 2010. However, the pure premium of $2.71 is at the cost level of December 2010 recorded values. Therefore, this pure premium needs to be inflated to the monetary level that is relevant for each future record period.

The chart displayed on page 5 of Exhibit E show the results of these calculations. An excerpt from that exhibit is included below to illustrate the calculations.

 

                                                        
Lag Period   

1

  

2

  

3

  

4

  

5

  

6

  

7

       

Pure Premium

   21.56    2.71    2.08    1.03    0.82    0.81    0.57        
   

Quarterly

                           Total

Rec w/n Acc

   FUTURE PURE PREMIUM BY QUARTERLY LAG, INFLATED    Future

Periods

                           Pure

Ending

  

1

  

2

  

3

  

4

  

5

  

6

  

7

  

8-27

  

Prem

Jun-09

                     0.57    3.43    4.00

Sep-09

                  0.82    0.58    3.39    4.78

Dec-09

               0.83    0.82    0.58    3.24    5.47

Mar-10

            1.04    0.84    0.83    0.59    3.29    6.59

Jun-10

         2.10    1.05    0.84    0.84    0.60    3.49    8.92

Sep-10

      2.74    2.12    1.06    0.85    0.85    0.60    3.52    11.74

Dec-10

   21.77    2.76    2.14    1.07    0.86    0.86    0.61    3.46    33.52
                                                        

The Quarterly Lag 2 selected pure premium of $2.71 is inflated by one quarter of the 4.0% annual Pure Premium Trend for accidents that occur in the quarter ending September 2010 (since they will be recorded in the quarter ending March 2011), and by two quarters (i.e.,  1/2 of a year) of the annual trend for accidents that occur in the quarter ending December 2010 (since they will be recorded in the quarter ending June 2011, i.e., two quarters in the future):

$2.71 × 1.041/2 = $2.76

Step 12: For each accident quarter, calculate the total future pure premium by summing all lag periods’ future pure premiums. For example, the total future pure premium for accident quarter ending December 2010 is $33.52. This is the sum of the future pure premiums for accidents that occurred during this quarter, but are expected to be recorded in future quarters:

 

     Quarterly Lag 1

     =      

Claims expected to be recorded in the first quarter of 2011

       =      

Future pure premium of $21.77

   

     Quarterly Lag 2

     =      

Claims expected to be recorded in the second quarter of 2011

       =      

Future pure premium of $2.76

   

     Quarterly Lags 3-27

     =      

Claims expected to be recorded in the third quarter of 2011 or later

       =      

Future pure premium of $8.99

The total future pure premiums are then transferred to column (4) of Exhibit D (Summary of Estimated IBNR), in order to calculate the total indicated IBNR reserves.

 

Page 41


Section VIII – Loss Adjustment Expenses Case Study

When a claim occurs, the ultimate amount of the loss is not known until final settlement (payment) of that claim. Through the life of the claim, we need to make sure that our loss reserves are adequate for all future payments on that claim, as illustrated in Section VII. However, we also incur expenses to adjust claims. Costs incurred in this loss adjustment process are called Loss Adjustment Expenses (LAE). Like loss reserves, we also need to make sure that our carried loss adjustment expense reserves are adequate to cover the future payment of these expenses as we settle our outstanding claims.

There are two major categories of loss adjustment expenses:

 

   

Defense and Cost Containment (DCC) Expenses. This category is comparable to, but not exactly the same as, what was called Allocated Loss Adjustment Expenses (ALAE) prior to the definition change by the National Association of Insurance Commissioners (NAIC) in 1998. Since 1998, this category includes:

 

  o Defense and litigation-related expenses, whether internal or external
  o Medical cost containment
  o Other related expenses incurred in the defense of claims

 

   

Adjusting & Other (A&O) Expenses. This category is comparable to, but not exactly the same as, what was called Unallocated Loss Adjustment Expenses (ULAE) prior to the definition change by the NAIC in 1998. Since 1998, this category includes:

 

  o Fees of external vendors involved in adjusting our claims
  o Salaries and related overhead expenses relative to Company employees involved in a claim adjusting function
  o Other related expenses incurred in determination of coverage

We hold both case and IBNR reserves for each expense category. We may revise any or all of the following parameters in order to achieve the desired changes to case and/or IBNR LAE reserves for a given segment:

 

   

Revise case LAE reserves by changing:

  o Average reserves for DCC and/or A&O, which are applied to open claims below the threshold. (Note that the threshold for DCC expense reserves is usually $15,000 per claim, although very few case reserve amounts exceed that threshold. There is no threshold for A&O expense reserves).
  o The inflation factor, which can differ between DCC and A&O and which is applied to the averages in subsequent months

 

   

Revise IBNR LAE reserves by changing:

  o IBNR factors for DCC and/or A&O, which are applied to earned premium

We evaluate the adequacy of most of our LAE reserve segments at least two times per year. DCC expense reserves are analyzed separately from A&O expense reserves.

The segment reviewed in this case study is for a sample state and coverage for Personal Auto. Note that the data in this example is not from any specific segment and any similarity to specific segments is coincidental. Also, the investigations that are undertaken, the conclusions that are drawn, and the selections that are made are not necessarily the same as those that we would make in an actual review. The results of this case study are also not intended to represent the actual results of the Company. Our intent is to illustrate and discuss many of the issues that we consider during our analysis, in order to make reasonable selections. The calculations involved in the process will also be explained.

 

Page 42


The identities for loss reserves are also relevant for LAE reserves, as follows:

 

 

Required LAE Reserves = Total Indicated Ultimate LAE – Total Paid LAE

 

 

LAE Reserve Adequacy = Held LAE Reserves – Required LAE Reserves

Ultimate LAE is derived differently for each of the two major LAE categories (DCC and A&O). In general, we attempt to determine how these expenses will develop in the future based upon how they developed in the past. In order to make reasonable selections, we look at several parameters and also consider the business issues that underlie the data.

We include several exhibits in our reviews to summarize our analysis that are also used in our discussions with the relevant business units. In this section, we present and describe Exhibit DCC and Exhibit ADJ, which summarizes the DCC expense analysis and the A&O expense analysis, respectively. Each exhibit is followed by an explanation of the calculations and a discussion of some of the issues that may be involved in the underlying data, as well as certain judgments we make in the selection process. We also discuss how different components of the analysis relate to each other.

Note that the DCC and A&O reserve reviews for a segment are usually done in the same month as a loss reserve review for that segment. Therefore, when loss projections are used in the DCC review, they are based on the projections from the loss review. Also note that rounding in the exhibits, as well as the order of calculation, may make some of the figures in the case study appear slightly out of balance.

 

Page 43


Exhibit DCC

State LMN Auto BI DCC (ALAE) as of September 30, 2010

ESTIMATED ULTIMATE DCC—ACCIDENT PERIOD ANALYSIS

 

       

(1)

(Proj Pd Trgl)

 

(2) =

(12) × (22)

 

(3) =

(7) + (8)

  (4)   (5)   (6)  

(7) =

(11) ×

(13) × (20)

 

(8) =

(10) ×

(13) × (19)

 

(9)

use (1), (2),

(3)

           

(10)

(Proj Util

Trgl)

 

(11)

(Proj Util

Trgl)

     
                                   
                                                           
 

Semiannual

Accident

Periods

Ending

 

Paid DCC

Method

Ult ($000)

 

Paid DCC

to Paid

Loss

Method

Ult ($000)

 

Att & Legal

+ Med & Oth

Method Ult

($000)

 

Paid

Total DCC

To Date

($000)

 

Paid

Med

& Oth

To Date

($000)

 

Paid

Att & Legal

To Date

($000)

 

Indicated

Ultimate

Med & Oth

 

Indicated

Ultimate

Att & Legal

 

Selected

Ultimate

DCC Total

     

Indicated

Attorney

Utilization

 

Indicated

Medical

Utilization

 
  Prior 3 Years   3,178   3,184   2,995   3,119   194   2,925   184   2,811   3,119                      
 

Mar-2007

  646   656   609   569   34   535   33   576   637       14.7%   13.3%  
 

Sep-2007

  956   988   903   766   37   729   38   865   949       10.4%   11.0%  
 

Mar-2008

  943   998   889   634   39   595   44   845   943       14.7%   12.6%  
 

Sep-2008

  1,165   1,218   1,101   554   35   519   47   1,054   1,162               14.4%   14.5%  
 

Mar-2009

  921   897   869   284   22   261   43   827   896       10.0%   8.6%  
 

Sep-2009

  1,071   1,091   1,050   178   21   157   59   991   1,071       12.2%   12.6%  
 

Mar-2010

  1,125   1,123   1,223   68   11   57   73   1,151   1,157       12.0%   12.4%  
 

Sep-2010

  1,612   1,667   1,656   10   5   5   81   1,575   1,645       15.0%   12.5%  
     
 

Total

  11,617   11,823   11,297   6,182   398   5,784   602   10,694   11,579              
 

Paid DCC

  6,182   6,182   6,182         398   5,784   6,182       4pt Trend      27.4%   25.1%  
                          8pt Trend      -0.2%   -0.9%  
                             

 

Required Reserve

  5,436   5,641   5,115               204   4,911   5,397                      

 

Held Reserve

  5,089   5,089   5,089             5,089            

 

Reserve Adequacy

 

  (346)   (552)   (26)                       (308)                      
    (12)   (13)   (14)   (15)   (16)   (17)       (18)       (19)   (20)  
   

(Proj Loss

Trgl)

 

(Proj Ct

Trgl)

                   

(Proj Sev

Trgl)

 

(Proj Sev

Trgl)

 
                             
 

Semiannual Accident

Periods Ending

 

Indicated Ultimate

Loss ($000)

 

Indicated Ultimate

Loss

Counts

 

Earned

Premium

($000)

 

Earned

Exposures

 

Pure

Premium

 

Indicated

Ultimate

Loss

Severity

           

Indicated

Att. & Legal

Severity

 

Indicated

Med. & Oth.

Severity

 
 

Prior 3 Years

  55,956   11,858   110,303   415,310   135   4,719                                  
 

Mar-2007

  7,375   1,695   16,893   65,209   113   4,351             2,308   148  
 

Sep-2007

  7,944   1,796   17,808   71,798   111   4,423             4,621   193  
 

Mar-2008

  9,849   1,951   19,990   81,197   121   5,048             2,949   180  
 

Sep-2008

  11,640   1,855   22,326   86,394   135   6,275                           3,942   177  
 

Mar-2009

  9,877   1,985   23,173   88,720   111   4,976             4,174   251  
 

Sep-2009

  10,969   1,939   23,898   95,008   115   5,657             4,200   241  
 

Mar-2010

  11,142   2,256   24,471   103,970   107   4,939       Current Reserve to Reserve Ratio:   16.4%         4,250   260  
 

Sep-2010

  13,091   2,387   27,766   119,015   110   5,484       Indicated Reserve to Reserve Ratio:   19.0%         4,400   270  
    137,843   27,722   286,629   1,126,621   -2.2%   3.2%             4pt Trend      3.5%   6.0%  
                          8pt Trend      13.2%   18.0%  
        (21) =   (22)   (23) =                       (24) =             (25) =   (26) =      
        (1) /(12)  

(Proj

Pd/Pd)

  (3) /(12)                       (9) /(12)             (8) /(12)   (7) /(12)      
                                                                 
   

Semiannual

Accident

Periods

Ending

 

Paid Ult
DCC/Loss

 

Paid

to Paid Ult

DCC/Loss

 

Att & Legal +

Med & Oth Ult

DCC/Loss

                     

Indicated

Ultimate

DCC/Loss $

           

Indicated

Attorney &

  Legal/Loss $  

 

Indicated
Medical &
  Other/Loss $  

     
 

Prior 3 Years

  5.7%   5.7%   5.4%                       5.6%               5.0%   0.3%  
 

Mar-2007

  8.8%   8.9%   8.3%             8.6%       7.8%   0.5%  
 

Sep-2007

  12.0%   12.4%   11.4%             11.9%       10.9%   0.5%  
 

Mar-2008

  9.6%   10.1%   9.0%             9.6%       8.6%   0.5%  
 

Sep-2008

  10.0%   10.5%   9.5%                       10.0%               9.1%   0.4%  
 

Mar-2009

  9.3%   9.1%   8.8%             9.1%       8.4%   0.4%  
 

Sep-2009

  9.8%   10.0%   9.6%             9.8%       9.0%   0.5%  
 

Mar-2010

  10.1%   10.1%   11.0%             10.4%       10.3%   0.7%  
 

Sep-2010

  12.3%   12.7%   12.7%             12.6%       12.0%   0.6%  

 

Page 44


Exhibit DCC – Defense and Cost Containment Reserve Analysis

This exhibit summarizes our accident period analysis of the adequacy of DCC reserves for this segment. The claims are sorted and analyzed by accident date using 6-month accident periods (i.e., accident semesters). Each accident semester represents all claims that have occurred during the 6-month period ending at the end of the designated month (in the left-hand column of the exhibit).

The information on Exhibit DCC is summarized as follows:

 

   

COLUMNS (1) through (3): Estimated ultimate DCC, resulting required reserves, and reserve adequacy resulting from three different sets of projections.

 

   

COLUMNS (4) through (6): Paid DCC as of the evaluation date of 9/30/2010, stated in total as well as broken out by expense type.

 

   

COLUMNS (7) and (8): Estimated ultimate DCC broken out by expense type.

 

   

COLUMN (9): Indicated ultimate DCC which has been selected by the Loss Reserving group considering all information obtained during the analysis, along with the resulting required reserves and reserve adequacy

 

   

COLUMNS (10) and (11): Estimated ultimate utilization ratio by expense type, along with along with the 4-point and 8-point fitted exponential trends.

 

   

COLUMNS (12) and (13): Estimated ultimate losses and loss counts.

 

   

COLUMNS (14) through (17): Earned Premium, Earned Exposures, Pure Premium, and estimated ultimate loss severity.

 

   

COLUMN (18): The current and indicated ratio of DCC reserves to loss reserves.

 

   

COLUMNS (19) and (20): Estimated ultimate DCC severity by expense type, along with along with the 4-point and 8-point fitted exponential trends.

 

   

COLUMNS (21) through (23): Estimated ultimate DCC-to-Loss ratios using each of the three projections of ultimate DCC from Columns (1) through (3).

 

   

COLUMN (24): Indicated ultimate DCC-to-Loss ratio.

 

   

COLUMNS (25) and (26): Estimated ultimate DCC-to-Loss ratio by expense type.

Since this is an accident period analysis, it measures the adequacy of our total DCC expense reserves (case + IBNR). In other words, the estimated ultimate amounts for each accident period include DCC expenses for claims that have already been reported plus DCC expenses for claims that have not yet been reported.

In the following illustration, we discuss the analysis of total DCC, followed by the analyses of its two major components: Attorney & Legal and Medical & Other.

Total DCC Expense Analysis

The table below is a section from Exhibit DCC. It summarizes our selection of the estimated ultimate total DCC expenses by accident semester for the four most recent accident years.

 

Page 45


           
    

(1)

(Proj Pd Trgl)

  

(2) =

(12) × (22)

  

(3) =

(7) + (8)

   (4)   

(9)

use (1),(2),(3)

Semiannual

Accident

Periods

Ending

  

Paid DCC

Method

Ult ($000)

  

Paid DCC

to Paid Loss

Method Ult ($000)

  

Att & Legal

+ Med & Oth

Method

Ult ($000)

  

Paid

Total DCC

To Date

($000)

  

Selected

Ultimate

DCC Total

($000)

Mar-07    646    656    609    569    637
Sep-07    956    988    903    766    949
Mar-08    943    998    889    634    943
Sep-08    1,165    1,218    1,101    554    1,162
Mar-09    921    897    869    284    896
Sep-09    1,071    1,091    1,050    178    1,071
Mar-10    1,125    1,123    1,223    68    1,157
Sep-10    1,612    1,667    1,656    10    1,645
       
Total    11,617    11,823    11,297    6,182    11,579
       
Paid DCC    6,182    6,182    6,182    LOGO    6,182
                    
     5,436    5,641    5,115    Required Reserves    5,397
     5,089    5,089    5,089    Held Reserves    5,089
     (346)    (552)    (26)    Reserve Adequacy    (308)

Columns (1) through (3) contain three projections that we typically use to estimate the ultimate amount of DCC expenses by accident semester (shown in column 9). We use three projections (columns (1), (2), and (3)) to select the ultimate DCC amounts shown in column (9). For more recent accident periods, the existing data may be volatile since newer claims may take several years from the accident date for the majority of DCC expenses to be paid. For example, in the September 2010 accident period, we are selecting ultimate expenses of $1,645,000, while only $10,000 has been paid to date, as shown in column (4).

For the Paid DCC projections (column (1)), we project the paid DCC expenses to ultimate amount by organizing the historical paid DCC amounts in a triangular format (by accident period and by evaluation period).

Column (2) is the Paid DCC to Paid Loss or Paid-to-Paid projection. Similar to other projections, this one organizes the data in a triangular format, with each data point in the triangle being the ratio of paid DCC expense to paid loss. We project the ultimate Paid-to-Paid ratio by accident period, as shown in column (22). This ultimate ratio is then multiplied by the ultimate projected losses (as derived from analysis of the losses, and shown here in column (12)) for each respective accident period. The result (in column (2)) is the estimated ultimate DCC expense amount for each accident period. The following chart illustrates this calculation:

 

Page 46


     (22)    (12)   

(2) =

(22) × (12)

Semiannual    (Proj Pd/Pd)    (Proj Loss Trgl)    Paid DCC
Accident    Paid    Indicated    to Paid Loss
Periods    to Paid Ult    Ultimate Loss    Method

Ending

  

DCC/Loss

  

($000)

  

Ult ($000)

Mar-07    8.9%    7,375    656
Sep-07    12.4%    7,944    988
Mar-08    10.1%    9,849    998
Sep-08    10.5%    11,640    1,218
Mar-09    9.1%    9,877    897
Sep-09    10.0%    10,969    1,091
Mar-10    10.1%    11,142    1,123
Sep-10    12.7%    13,091    1,667

Column (3) shows our third projection, the sum of Ultimate Medical & Other (column (7)) and Ultimate Attorney & Legal (column (8)). The expense dollars for these components are obtained by making projections of the utilization ratios and severities for the Attorney & Legal versus Medical & Other components of DCC expenses, using the following identity:

 

 

Expense Dollars  =  Utilization Ratio  ×  Loss Counts  ×  Expense Severity

 

 

Utilization Ratio    =   

Expense Counts

      Loss Counts

The utilization ratios and severities for each component are projected from triangles of the historical utilization ratios and severities for each component.

 

Page 47


The following chart shows the indicated utilization ratios for each component by accident semester:

 

      (10)    (11)
      (Proj Util Trgl)    (Proj Util Trgl)

Semiannual

         

Accident

   Indicated    Indicated

Periods

   Attorney    Medical

Ending

  

Utilization

  

Utilization

Mar-07

   14.7%    13.3%

Sep-07

   10.4%    11.0%

Mar-08

   14.7%    12.6%

Sep-08

   14.4%    14.5%

Mar-09

   10.0%    8.6%

Sep-09

   12.2%    12.6%

Mar-10

   12.0%    12.4%

Sep-10

   15.0%    12.5%

4-pt Exp Tr

   27.4%    25.1%

8-pt Exp Tr

   -0.2%    -0.9%

The following chart shows the indicated severities for each component by accident semester:

 

      (19)    (20)
Semiannual    (Proj Sev Trgl)    (Proj Sev Trgl)

Accident

   Indicated    Indicated

Periods

   Att & Legal    Med & Oth

Ending

  

Severity

  

Severity

Mar-07

   2,308    148

Sep-07

   4,621    193

Mar-08

   2,949    180

Sep-08

   3,942    177

Mar-09

   4,174    251

Sep-09

   4,200    241

Mar-10

   4,250    260

Sep-10

   4,400    270

4-pt Exp Tr

   3.5%    6.0%

8-pt Exp Tr

   13.2%    18.0%

As mentioned earlier, DCC utilization and severity are used to calculate our projections of ultimate DCC expenses for each component. The following exhibit illustrates this calculation for the Attorney & Legal component of total DCC:

 

Page 48


     

 

Semiannual

  

 

(10)

(Proj Util Trgl)

  

(13)

(Proj Ct Trgl)

  

(19)

(Proj Sev Trgl)

  

(8) =

(10) × (13) × (19)

 
   

Accident

Periods

Ending

  

Indicated

Attorney

Utilization

  

Indicated

Ultimate

Loss Counts

  

Indicated

Att. & Legal

Severity

  

Indicated Ult.

Att. & Legal

($000)

 
   

Mar-07

   14.7%    1,695   

 

2,308

   576  
   

Sep-07

   10.4%    1,796    4,621    865  
   

Mar-08

   14.7%    1,951    2,949    845  
     

Sep-08

   14.4%    1,855    3,942    1,054  
   

Mar-09

   10.0%    1,985    4,174    827  
   

Sep-09

   12.2%    1,939    4,200    991  
   

Mar-10

   12.0%    2,256    4,250    1,151  
     

Sep-10

   15.0%    2,387    4,400    1,575  

The following identities are used in the calculations above:

 

  Expense Counts     =      Utilization Ratio × Loss Counts     =      (10) × (13)
   
  Expense Severity     =     

Expense Dollars

Expense Counts

    =      (19)
   
  Expense Dollars     =      Expense Count × Expense Severity     =      (10) × (13) × (19)

Once we have our three projections, we calculate the required reserves and the reserve adequacy for each of the three projections and for the selected amounts by using the identities:

 

 

Required DCC

Expense Reserves

   =   

Total Indicated

Ultimate DCC Expenses

     

Total Paid

DCC Expenses

 

 

DCC Expense

Reserve Adequacy

   =   

Held DCC

Expense Reserves

     

Required DCC

Expense Reserves

The results are shown at the bottom of columns (1) through (3) and (9). For this segment, we determined that our DCC expense reserves are inadequate by $308,000. As a result of this analysis, we may increase our reserves by changing the case averages and the IBNR factors for the DCC expense category.

When making selections for many of the DCC segments we tend to give greater weight to the Paid-to-Paid projection. Since, this is that the legal costs for claims tend to be related to their loss costs. Although the losses may develop at a different rate than the expenses, the ultimate relationship tends to be consistent over time.

However, there can be changes in the claim adjustment process that would potentially cause this relationship to change. This may be due to changes in the legal/regulatory environment or to changes in the Company’s loss adjustment process. We discuss these issues with Claims to better understand the underlying data. We use additional approaches in our projections for segments in which we observe process changes, because the historical development may be less relevant for the future.

 

Page 49


The following table shows the ratios of ultimate DCC expense dollars to ultimate loss dollars for this segment over the past eight accident semesters for the three methods:

 

                                        
   

(12)

Indicated

       Semiannual       

(21) =

(1) / (12)

  

(22)

(Proj Pd/Pd)

  

(23) =

(3) / (12)

  

    (24) =

    (9) / (12)

         
 

Ultimate

Loss

($000)

  

Accident

Periods

Ending

  

Paid Ult

DCC/Loss

  

Paid

to Paid Ult

DCC/Loss

  

Att & Legal +

Med & Oth Ult

DCC/Loss

  

Selected

Ultimate

DCC/Loss

           
   

7,375

 

  

    Mar-07    

 

  

8.8%

 

  

8.9%

 

  

    8.3%    

 

  

        8.6%    

 

         
   

7,944

 

  

    Sep-07    

 

  

12.0%

 

  

12.4%

 

  

    11.4%    

 

  

        11.9%    

 

         
   

9,849

 

  

    Mar-08    

 

  

9.6%

 

  

10.1%

 

  

    9.0%    

 

  

        9.6%    

 

         
    11,640        Sep-08        10.0%    10.5%        9.5%                10.0%              
   

 

9,877

 

  

 

    Mar-09    

 

  

 

9.3%

 

  

 

9.1%

 

  

 

    8.8%    

 

  

 

        9.1%    

 

         
   

10,969

 

  

    Sep-09    

 

  

9.8%

 

  

10.0%

 

  

    9.6%    

 

  

        9.8%    

 

         
   

11,142

 

  

    Mar-10    

 

  

10.1%

 

  

10.1%

 

  

    11.0%    

 

  

        10.4%    

 

         
   

13,091

 

  

    Sep-10    

 

  

12.3%

 

  

12.7%

 

  

    12.7%    

 

  

        12.6%    

 

         
                                        

 

      Each of the

DCC/Loss Ratios

         =          Ultimate DCC Dollars for the Period  *

Ultimate Loss Dollars for the Period

 

* from each of the

projections

       

As discussed above for the Paid-to-Paid projection, the ultimate DCC/Loss ratios in column (22) are projections based on a triangle of the historical ratios of paid DCC to paid loss. The selected ultimate DCC/Loss ratios in column (24) use our selected ultimate DCC expense dollars from column (9).

For this segment, the DCC/Loss ratios have been fluctuating over the past four accident years, but the last four semesters are showing an increasing trend. In this example, we began spending more on DCC in an attempt to keep our total loss severity lower. This may be due to higher amounts spent on each claim (severity) and/or a higher proportion of claims utilizing DCC.

It is also useful to compare the sum of the DCC expense components to the total using the ratio of ultimate DCC expense dollars to loss dollars.

 

 

Semiannual

   (25) = (8) / (12)    (26) = (73) / (12)    (23) = (3) / (12)    (24) = (9) / (12)         
Accident    Indicated    Indicated    Att & Legal +    Selected     
Periods    Attorney &    Medical &    Med & Oth Ult    Ultimate     

Ending

  

Legal / Loss $

  

Other / Loss $

  

DCC/Loss

  

DCC/Loss

    
Mar-07    7.8%    0.5%    8.3%    8.6%     
Sep-07    10.9%    0.5%    11.4%    11.9%     
Mar-08    8.6%    0.5%    9.0%    9.6%     
Sep-08    9.1%    0.4%    9.5%    10.0%     
Mar-09    8.4%    0.4%    8.8%    9.1%     
Sep-09    9.0%    0.5%    9.6%    9.8%     
Mar-10    10.3%    0.7%    11.0%    10.4%     
Sep-10    12.0%    0.6%    12.7%    12.6%     
                              

The above DCC/Loss ratios use the ultimate DCC expense dollars for each of the components and the total. We also show the Selected Ultimate DCC/Loss ratios. Since the Medical & Other expenses make up only a small proportion of the total DCC expense dollars for this segment, the DCC/Loss ratios are driven by the Attorney & Legal component.

The contribution of the utilization and severity parameters to the total DCC expense dollars is also relevant in the analysis of each DCC expense component. In order to make the most appropriate

 

Page 50


reserve change for DCC expenses, we have to be comfortable with each of the parameters for each of the components in the analysis.

The final parameter to consider is the ratio of DCC expense reserves to loss reserves, as shown in column (18). The comparison of the current and indicated reserve/reserve ratios for this segment is as follows:

 

   

 DCC Reserves / Loss Reserves

 

   

 

(18)

 

  

 

       
    Current Reserve to Reserve Ratio:         16.4%       
    Indicated Reserve to Reserve Ratio:         19.0%       
                     

This is a final check for reasonableness of other selections. We expect this ratio to be fairly consistent over time for a given segment. If there is a significant change from one review to the next, we may look at the ratio by accident period, which could indicate a change in the claim adjustment process. These observations would be discussed with Claims to get a better understanding of any process changes. For this segment, the indicated ratio is higher than the current ratio because our DCC reserves indicated inadequacy.

 

Page 51


Exhibit ADJ

PROGRESSIVE CORPORATION

State LMN Auto BI Adjusting & Other (ULAE) as of September 30, 2010

 

                 [Apply to Case]        [Apply to IBNR]        
      

 

(1)

 

  

 

   

 

(2)

 

  

 

   

 

(3)

 

  

 

   

 

(4)

 

  

 

   

 

(5)

 

  

 

   

 

(6)

 

  

 

   

 

(7)

 

  

 

    
    

Quarterly

Calendar

End dates

  

A&O

Counts

   

Paid Loss

Capped

   

Paid Loss

Uncapped

   

Total

A&O

Charged

   

A&O

Charged per

A&O Count

(4) / (1)

   

Ratio of A&O

to Capped

Paid Loss

(4) / (2)

   

Ratio of A&O

to Uncapped

Paid Loss

(4) / (3)

          
 

 

Dec-07

     1,228        3,714,400        4,054,400        760,093        619        20.5%        18.7%        
 

Mar-08

     1,318        3,926,551        4,096,439        868,607        659        22.1%        21.2%        
 

Jun-08

     1,269        3,198,123        3,246,026        898,269        708        28.1%        27.7%        
 

Sep-08

     1,202        3,629,395        3,910,898        959,142        798        26.4%        24.5%        
 

Dec-08

     1,339        4,446,527        4,672,314        1,074,649        803        24.2%        23.0%        
 

Mar-09

     1,181        4,155,283        4,656,783        1,124,520        952        27.1%        24.1%        
 

Jun-09

     1,383        4,847,742        5,038,990        1,047,989        758        21.6%        20.8%        
 

Sep-09

     1,250        4,721,039        5,202,139        1,032,713        826        21.9%        19.9%        
 

Dec-09

     1,400        5,586,462        5,841,462        1,162,756        831        20.8%        19.9%        
 

Mar-10

     1,319        5,169,460        5,585,959        1,182,213        896        22.9%        21.2%        
 

Jun-10

     1,442        5,776,331        6,051,731        1,267,469        879        21.9%        20.9%        
 

Sep-10

     1,535        5,694,208        5,978,108        1,305,950        851        22.9%        21.8%        

 

Wtd Avg for Oct-07 thru Sep-08

  

        695        24.1%        22.8%        
Wtd Avg for Oct-08 thru Sep-09            831        23.6%        21.9%        
Wtd Avg for Oct-09 thru Sep-10            864        22.1%        21.0%        
Year over year change            3.9%        -6.1%        -4.1%        
                                      

 

Case

    IBNR           
Selected @ Sep-09              22.1%        21.0%        
Selected @ Mar-09              21.5%        20.4%        
Carried A&O Paid to Paid Ratio              22.1%        22.1%        
                     
       (8)       

 

 

(9) = (8) × (6)

or (8) × (7)

 

  

  

 

    (10)        (11) = (9) × (10)        (12)        (13) = (12)   (11)        (14)              
        

Loss Reserves

   

Incurred A&O

   

% Unpaid

   

Indicated

A&O Reserve

   

Carried

A&O Reserve

   

Reserve

Adequacy

   

# A&O

Reserves

          

Capped Case 

     24,823,202        5,485,928        50%        2,742,964        2,897,707        154,743        3,046          

IBNR Reserve 

     4,493,977        943,735        90%        849,362        853,906        4,544            

Total 

     29,317,179        6,429,663                3,592,325        3,751,613        159,287                      

 

Page 52


Exhibit ADJ – Adjusting and Other Expense Reserve Analysis

This exhibit summarizes our calendar period analysis of the adequacy of A&O reserves for this segment. The data is sorted and analyzed by calendar date using 3-month (i.e., quarterly) calendar periods.

The information on Exhibit ADJ is summarized as follows:

 

   

COLUMN (1): Calendar period A&O expense count

 

   

COLUMNS (2) and (3): Calendar period paid loss dollars capped at $50,000 and uncapped

 

   

COLUMN (4): Calendar period charged A&O expense

 

   

COLUMN (5): Average charged A&O per count

 

   

COLUMNS (6) and (7): Ratio of charged A&O expense to capped and uncapped paid losses, as well as the carried, revised, and selected (from prior reviews) case and IBNR paid-to-paid ratios

 

   

COLUMN (8): Capped case loss reserve and carried IBNR loss reserve for similar segment

 

   

COLUMN (9): Total incurred case and IBNR A&O expenses

 

   

COLUMN (10): The proportion of case and IBNR incurred A&O expense determined to be unpaid as of the evaluation date

 

   

COLUMN (11): Indicated required case and IBNR A&O expense reserve

 

   

COLUMN (12): Carried case and IBNR A&O expense reserve

 

   

COLUMN (13): Indicated case and IBNR A&O expense reserve adequacy

 

   

COLUMN (14): Count of open A&O expense case reserves

This exhibit is a calendar period analysis of the adequacy of the Adjusting & Other (A&O) expense reserves for this segment. We calculate the ratio of paid A&O expenses to paid losses for each calendar quarter over the past three years. We then estimate the expected ratio going forward, which we use to determine the required A&O expense reserves.

 

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The calculation of the Paid-to-Paid ratios is shown in the following excerpt from Exhibit ADJ:

 

     (2)    (3)    (4)    (6) = (4) / (2)    (7) = (4) / (3)

Quarterly

Calendar

End Dates

  

Paid Loss

Capped

@50,000

  

Paid Loss

Uncapped

  

Total

A&O

Charged

  

Ratio of A&O

to Capped

Paid Loss

  

Ratio of A&O

to Uncapped

Paid Loss

Dec-08    4,446,527    4,672,314    1,074,649    24.2%    23.0%
Mar-09    4,155,283    4,656,783    1,124,520    27.1%    24.1%
Jun-09    4,847,742    5,038,990    1,047,989    21.6%    20.8%
Sep-09    4,721,039    5,202,139    1,032,713    21.9%    19.9%
Dec-09    5,586,462    5,841,462    1,162,756    20.8%    19.9%
Mar-10    5,169,460    5,585,959    1,182,213    22.9%    21.2%
Jun-10    5,776,331    6,051,731    1,267,469    21.9%    20.9%
Sep-10    5,694,208    5,978,108    1,305,950    22.9%    21.8%
   

Wtd Avg for Oct-07 thru Sep-08

      24.1%    22.8%

Wtd Avg for Oct-08 thru Sep-09

      23.6%    21.9%

Wtd Avg for Oct-09 thru Sep-10

      22.1%    21.0%
   
       

Case

  

IBNR

Select @ Sep-10 (current review)

      22.1%    21.0%

Select @ Mar-10 (prior review)

      21.5%    20.4%

Carried A&O Paid to Paid Ratio

        22.1%    22.1%

For this segment, the paid A&O expenses in column (4) are used to calculate the ratios to paid losses capped at $50,000 per feature, as well as the ratios to uncapped paid losses. We use $50,000 as the basis for the capping of losses, because our experience has shown it is reasonable to assume that staff involvement does not increase proportionally as the size of the claim increases for larger claims.

The capped paid-to-paid ratios in column (6) are used to determine the needed A&O expense reserve for settling claims that are currently open. The uncapped paid-to-paid ratios in column (7) are used to determine the needed A&O expense reserve for claims that are not yet reported (IBNR).

For segments in which we recover significant salvage and/or subrogation, in particular PIP and Physical Damage segments, the IBNR ratio is calculated based on gross paid losses.

Gross Paid Losses = Net Paid Losses + Salvage Recoveries + Subrogation Recoveries

Using the historical ratios, the 12-month-ending averages, and the prior selected ratios, we select our estimated paid-to-paid ratios to be used in our reserve indication in columns (6) and (7) (in Blue). Also note that the paid-to-paid ratio of 22.1% implied by our current carried A&O expense reserves is shown at the bottom of columns (6) and (7).

For this segment, the ratios have been relatively constant over the past six quarters, although they were higher during the prior year. As with other expense categories, we would look at reasons for changes in the ratios over time. The expenses allocated to this category are those related to the adjustment of claims, including fees of independent adjusters, salaries, and related overhead expenses for Company employees involved in a claim adjusting function. Therefore, we would look at changes in claims staffing, claims inventory, claims processing and loss volume in order to determine reasons for changes in the ratios over time.

 

Page 54


We also look at the average A&O expense per claim (in column (5)) to see if there is a trend in the expense severity. The following excerpt from Exhibit ADJ illustrates this:

 

      (1)    (4)    (5) = (4) / (1)
           A&O
Quarterly       Total    Charged
Calendar    A&O    A&O    Per A&O
End Dates    Counts    Charged    Count
Dec-08    1,339    1,074,649    803
Mar-09    1,181    1,124,520    952
Jun-09    1,383    1,047,989    758
Sep-09    1,250    1,032,713    826
Dec-09    1,400    1,162,756    831
Mar-10    1,319    1,182,213    896
Jun-10    1,442    1,267,469    879
Sep-10    1,535    1,305,950    851
   

Wtd Avg for Oct-07 thru Sep-08

   695

Wtd Avg for Oct-08 thru Sep-09

   831

Wtd Avg for Oct-09 thru Sep-10

   864

The A&O Counts in column (1) are the sum of the features closed with payment, the features closed without payment, and the number of open features. The A&O expense severity for this segment has been fluctuating somewhat, but the overall trend has been increasing. Columns (8) through (14) illustrate the calculation of our A&O expense reserve adequacy.

 

     (8)    (9) = (8) × (6)    (10)    (11) = (9) × (10)    (12)    (13) = (12)   (11)    (14)
        or (8) × (7)                 
     Loss    Incurred       Indicated    Carried A&O    Reserve    # A&O
    

Reserves

  

A&O

  

% Unpaid

  

A&O Reserve

  

Reserve

  

Adequacy

  

Reserves

Capped Case 

   24,823,202    5,485,928    50%    2,742,964    2,897,707    154,743    3,046

IBNR Reserve 

  

4,493,977

  

943,735

   90%   

849,362

  

853,906

  

4,544

    

Total 

   29,317,179    6,429,663         3,592,325    3,751,613    159,287     

The Incurred A&O in column (9) is the total ultimate incurred A&O expense for adjusting all claims that are currently reserved.

For currently open claims:

 

Capped Case

Incurred A&O

  =    Selected Capped

Paid-to-Paid Ratio

  ×    Current Case Loss Reserves

(Capped @ $50,000)

column (11)      column (8)      column (10)
  =    22.1%   ×    24,823,202
  =    5,485,928     

 

For claims not yet reported:

IBNR Reserve

Incurred A&O

  =    Selected Uncapped

Paid-to-Paid Ratio

  ×    Current Case Loss Reserves

(Capped @ $50,000)

column (11)      column (9)      column (10)
  =    21.0%   ×    4,493,977
  =    943,735     

 

For segments with significant salvage or subrogation recoveries, (whether claims are currently open or not yet reported):

 

 

Page 55


  Incurred A&O   =  

Selected Gross

Paid-to-Paid Ratio

  ×  

Current Gross IBNR

Loss Reserves

   

The percent unpaid in column (10) has been determined from our time tracking studies. The underlying concept is that much of the A&O expense is paid when the claim is opened (or before it is opened), and the remainder is paid during the life of the claim until it is settled.

The Indicated A&O Reserve in column (11) represents the unpaid portion of the incurred A&O. This is compared to the carried reserve in column (12) in order to determine the adequacy of the A&O expense reserves in column (13).

Based on this analysis, our carried A&O expense reserves for this segment are adequate by $159,287, with case reserves adequate by $154,743 and IBNR reserves adequate by $4,544. Since the indicated adequacy is almost entirely driven by the case portion of reserves, we would likely decrease the A&O case average that applies to open features.

 

Page 56


 

 

 

 

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