1

RCM-3 The Integration of Risk and Return in Practice- From Ratemaking to ERM

Russ Bingham Ratemaking Seminar Vice President Actuarial Research Atlanta, GA

Hartford Financial Services March 8-9, 2007

2

Outline

Corporate Objective: Financial Discipline and Operational Application Risk / Return and the Risk Transfer Process Risk / Return Fundamentals Risk / Return Line Connecting Risk and Return - RAROC and RORAC Generic Risk Quantification Steps Alternative Risk Metrics Risk / Return Criteria Specifications Risk Coverage Ratio Risk / Return Metric – Operating and Shareholder Views Risk / Return Integration using RCR – Scenarios and Mechanics Risk / Return Methodology in Practice – Scope and Attributes Economic and Risk-Based Orientation and Premises

Appendix Example of Risk-Based Pricing Five Essential Structural Elements Historical Evolution of the Benchmark Methodology Ten Commandments of Insurance Financial Modeling

3

Corporate Objective: Financial Discipline and Operational Application

Financial discipline is a valuation process, supported by analytical methods and models, intended to provide timely and meaningful assessments of risk / return performance and trends associated with underwriting, investment and finance operations. Sound economic, risk-based analytics are used to support strategic and operational decision making throughout company.

Apply benchmark standard financial valuation throughout entire company Ratemaking and product pricing Planning Performance monitoring Profitability studies Incentive compensation Acquisition analysis Capital attribution Risk/return assessment ERM

Valuation is on an Economic Basis (i.e. cash flow oriented) and Reflects Risk

4

Insurance Funds Flow Schematic

5

The Actuaries Role

Uncertainty and volatility of both amount of loss and timing of payment is typically the most significant driver of risk in P&C insurance

This information should be used within all risk-driven activities, particularly pricing, establishing reserve ranges and ERM

The actuary must play a critical role in the ERM process

However, the actuary must take a broader financial perspective

6

Risk / Return and the Risk Transfer Process

Risk Transfer Activities Underwriting funds flow between policyholders and company Investment funds flow between company and financial markets Finance capital funds flow between financial markets and company

Risk Transfer Characteristics Transfer of cash between two parties for a future expected benefit to both Benefits uncertain as to amount and/or timing Price for the transfer of risk based on fundamental Risk / Return tradeoff

in which higher risk requires higher price

Risk / Return Relationship Applies to all risk transfer activities Risk and Return measured from the same variable (distribution)

The same risk / return tradeoff paradigm should apply to all risk transfer activities to the extent possible

7

Risk / Return Fundamentals

Insurance = underwriting, investing and financing

Volatility is uncertainty of result Volatility characteristics of input and output variables are a key

component of risk assessment but volatility alone does not represent risk

Risk is exposure to loss Risk lies in the potential for adverse outcomes, which is a function of both

the level of and volatility in important variables of interest

Risk transfer price must consider all outcomes that can potentially result in loss

Frequency and severity of all adverse outcomes are relevant

A risk-based pricing and capital attribution methodology incorporates volatility in determining levels of outcomes in order to conform to an acceptable risk / return relationship

8

Risk / Return Line

The price (premium) that satisfies the risk criterion, by reflecting the volatility in each line The price (premium) that satisfies the risk criterion, by reflecting the volatility in each line of business, places the expected total return distribution on the total risk / return line.of business, places the expected total return distribution on the total risk / return line.

9

Connecting Risk and Return - Risk Adjustment Alternative 1

“Step” 1: Determine Price that satisfies specified risk criteria using uniform leverage - RAROC perspective, Risk-Adjusted Return On Capital (varying return with uniform leverage)

10

Connecting Risk and Return - Risk Adjustment Alternative 2

“Step” 2: Determine Leverage to achieve specified return - RORAC perspective, Return On Risk-Adjusted Capital (uniform return with varying leverage)

11

Generic Risk Quantification Steps

1. Select variable(s) of interest

2. Determine the statistical distribution of the variables(s)

3. Define and identify adverse outcomes

4. Determine the probability of an adverse outcome

5. Determine the average severity of an adverse outcome

6. Calculate the risk metric

12

Alternative Risk Metrics

Policyholder oriented risk metrics (usually loss based)

Probability of ruin (POR)Value at risk (VAR)Tail Value at Risk (TVAR) - P&CConditional Tail Expectation (CTE) - LifeExpected policyholder deficit (EPD)

Shareholder oriented risk metrics (based on total income or return)Variability in total return (sR)Value at risk (VAR)Tail Value at Risk (TVAR) - P&CConditional Tail Expectation (CTE) - LifeProbability of Income Ruin (POIR)Probability of surplus drawdown deficit (PSD)Severity of surplus drawdown deficit (SSD)Expected surplus drawdown deficit (ESD)Earnings at Risk

Risk / Return metricsSharpe RatioRisk Coverage Ratio (RCR)

RBC and other Rating Agency measures

- Only Sharpe ratio and RCR integrate risk and return, others are an expression of risk only

- In one way or another all risk measures address the likelihood and/or the severity of an adverse outcome

- Metrics differ in choice of variable used and in definition of adverse event (position in distribution)

13

Risk / Return Criteria Specifications in Practice

Key variable is the distribution of Total Return (ROE or “equivalently”, Operating Return) based on Accident period and Economic (cash flow based) accounting.

Adverse outcome is defined as “below breakeven” return. For ROE; Breakeven = Risk Free return For Operating Return; Breakeven = ZeroThese two are equivalent in that they reside at the same point of their respective

distributions and are mathematically connected to each other

Key Return measure is the expected average return

Key Risk measure is the expected below breakeven deficit, the product of the frequency of result below breakeven times the severity of those outcomes

Risk / return metric is “Risk Coverage Ratio” (RCR) which ratios the expected return margin above breakeven to the risk measure - a Reward to Risk ratio

“All” sources of risk (cats, non-cat losses, cash flow, yield, etc.) are modeled simultaneously to provide a distribution of possible return outcomes. Their respective contribution to overall risk and return is identified and this forms the basis for setting premium and assigning surplus.

14

Risk Coverage Ratio Risk / Return Metric – Operating Return View

15

Risk Coverage Ratio Risk / Return Metric – Shareholder Return View

16

Risk Coverage Ratio Attributes Adverse outcome is set at breakeven where operating results turn negative and

surplus is consumed

Focus is that of an ongoing firm rather than a more extreme “ruin” risk view (making earnings is of more frequent concern than is going out of business)

Considers all adverse outcomes (i.e. any outcome which consumes surplus) Utilizes “full” information content Improves reliability of risk measurement Consistent with risk transfer pricing in which price (i.e. reward) must reflect

all potential loss scenarios Not biased by either excessively skewed or capped tail distributions (a major

problem with risk metrics based on tail characteristics only) Return and risk are measured from the same variable and distribution

Risk is measured as a combination of frequency and severity of adverse events (low severity, high frequency adverse outcomes can be as costly as high severity, low frequency outcomes farther out in the tail)

Reward to risk connection is made by pricing products in proportion to risk

Applicable to underwriting and investing activities

17

Risk / Return Integration and application of RCRSimulation Scenarios (Low, Med, High Volatility), (Normal, Mild Skew, Heavy Skew Distribution)

Nine scenarios reflect combinations of 3 levels of volatility and 3 degrees of skewness.Results are shown in both RAROC and RORAC perspectives.RAROC presents risk-adjusted return on capital at fixed 3/1 leverage ratio.RORAC presents fixed 15% return on risk-adjusted capital.Price is set to meet Breakeven RCR reward to risk ratio of 20 to 1 in each scenario.

18

Risk / Return Integration “Full” Information Breakeven RCR- Operating Return Level (Medium Volatility, Heavy Skew Scenario Case 8)

Required Price is that which results in operating return RCR of 20.0. (Operating return is a return on asset metric.)The distribution in shifted right or left in order to place the mean return at the point which results in an RCR of 20.0Operating return is 20 times the product of the probability of negative return times the severity of those negative returns.

19

Risk / Return Integration “Full” Information Breakeven RCR- Total Return RAROC ( Medium Volatility, Heavy Skew Scenario Case 8)

Total Return is determined by multimplying operating return by fixed leverage of 3.0 and then adding surplus yield of 5%. Units change from return on asset to return on surplus, but RCR reward-to-risk characteristics remain the same.Total return excess of breakeven is 20 times the product of the probability times the severity of below breakeven returns.

20

Risk / Return Integration “Full” Information Breakeven RCR- Total Return RORAC (Medium Volatility, Heavy Skew Scenario Case 8)

Total Return is scaled by adjusting leverage factor so that average return is 15%.Return distribution shape characteristics and RCR 20 are maintained in this translation.Total return excess of breakeven remains 20 times the product of the probability times the severity of below breakeven returns.

21

Risk / Return Integration - RAROC vs. RORAC Extreme Event Tail RiskRuin Probability (Medium Volatility, Heavy Skew Scenario Case 8)

RORAC risk-adjusted capital attributed combined with risk-based return level ensures that ruin is unlikely.RORAC perspective indicates greater policyholder solvency protection than does RAROC.

22

Risk / Return Integration in Practice using RCRRAROC Multiperiod Model View

23

Risk / Return Integration in Practice using RCRRORAC Multiperiod Model View

24

Risk / Return Integration in Practice using RCR

Risk measurement is a combination of the probability that returns will fall below breakeven, together with the average severity of such outcomes

“Loss” = Shortfall from breakeven return “Risk” = (Loss Frequency) x (Mean Loss Severity)

RCR (Risk Coverage Ratio) is used to integrate risk and return

Risk-Based Pricing - higher price dictated when volatility and risk is greater Establishes risk / return tradeoff whose slope is RCR Independent of surplus

Two forms of risk-adjustment can be use when translating to total return (ROE) Risk-Adjusted Return - higher absolute total return when risk is greater,

with uniform leverage (e.g. 3/1 leverage ratio in all lines) OR Risk-Adjusted Leverage - lower leverage when risk is greater, with uniform

total return (e.g. 15% ROE in all lines)

Price related to risk, leverage related to total return

25

Risk / Return Integration in Practice using RCR

RORAC Preferred Over RAROC

Facilitates state rate regulatory dialogue In jurisdictions having greater underwriting risk it is easier to

discuss rate needs at modest rate of return levels that are based on higher risk capital amounts than when risk is reflected in a higher absolute target return alone, even though price indication is the same

Easier to implement internally as all business returns can be compared to the same absolute return standard (e.g. 15%)

By attributing greater capital when risk is greater, policyholders appear to be better protected, since the probability of ruin is reduced to a negligible amount

26

Risk-Based Pricing in Practice

Risk Pricing Objective is to insure that all operating activities (lines of business in underwriting as well as alternative investments) conform to a consistent risk / return relationship

Pricing ideally sets all operating activities’ return/risk ratio to the same benchmark standard, so that strategic opportunity decisions can be made on a level playing field

The corporate ROE goal is distributed equitably among areas through pricing and capital allocation, in proportion to risk contributed

Internal Diversification and external (e.g. ratings) factors influence this relationship

27

Risk / Return Methodology in Practice – Scope and Attributes

Primary risk orientation is that of an on-going concern meeting return expectations in financial community

More extreme event risks (e.g. “ruin” and ratings downgrade) are indirectly addressed since they reside within the same total return distribution although farther out in the tail (and these can be quantified as well)

Adequate product pricing based on product risk is viewed as the most important risk / return lever and all adverse outcomes are considered

Target Prices (premiums) are determined to meet specified RCR in each line of business – gain (“reward”) per unit of risk same in all lines

Leverage and capital attribution is determined and presented in the RORAC risk adjustment perspective at which time capital calibration is verified

Both policyholder (operating return level) and shareholder (total return level) subject to same risk/return tradeoff

28

Risk / Return Methodology in Practice – Scope and Attributes

The Benchmark model provides a framework for economic measurement of risk-based underwriting performance, and is applied in virtually all areas

Pricing, planning, tracking, incentive compensation, ERM, etc. Supports internal line of business risk-versus-return-oriented decision-making Accident / Calendar triangle structure demonstrates flow into conventional

calendar period reported financials

Economic and risk-based rules are used to control flow of risk capital and to distribute profits generated by the individual businesses over time internally

Incorporates all sources of risk that can be “distributionalized” – Loss, Catastrophe Loss, Investment Yield, Cash Flow, etc.

Provides all critical performance metrics – Total Risk-Adjusted Return, Economic Value Added, Benchmark Surplus, Embedded Value, etc.

29

Economic and Risk-Based Orientation and Premises

Internal line of business decisions are made based on financials that reflect the “purest” view of financial performance possible

Accident period oriented, not Calendar period, and revised to include latest estimates of ultimate values

Economically based accounting, not Conventional (statutory or GAAP) Forward looking (includes future cash flow expectations) Investment risk beyond low-risk cash flow matched strategy considered as

separate investment activity, not part of underwriting Risk-adjustment (and capital attribution) based on independent view of risk

(using benchmark accident year, economic, cash flow, and low risk investment structure as noted above), not the rating agency view

Consistent with fair value accounting and economic capital principles

External total company “constraints” must be met based on Calendar period (e.g. reported earnings), static where revised estimates

can only be included in accounting period when revisions are made Conventional accounting (Stat for rating agency and regulatory, GAAP for

financial reporting) Backward looking (reported historical financials) Combined underwriting and investment results Rating agency capital (e.g. S&P)

30

Appendix: Example of Risk-Based Pricing – Operating Level Risk

Und Return on Inv Assets (APR) Below ‘0’ Breakeven Oper Return Risk

Line Ratio Und Inv Total Oper Prob Severity Risk RCR

U r O P -T P(-T) O/{P(-T)}

Homeowners 90 11% 3% 14% 5% 14% 0.7% 20

Automobile 98 1 3 4 10 2 0.2 20

Workers Comp 104 (1) 3 2 10 1 0.1 20

Underwriting, Investment and Operating Return are shown as an annual percentage rate on invested insurance assets.

Risk is the expected average adverse outcome, the product of the probability and average severity of adverse outcomes.

Price per Unit of Risk (RCR reward to risk ratio) is the same in each line.

31

Translation from Operating Return to Total Return

Operating return is converted to total return by introducing surplus and investment income on surplus as follows:

Operating Income (I) = Income from insurance (policyholder) operations, the sum of underwriting income and the investment income on policyholder asset float

Insurance Asset Float (A) = Invested assets supporting policyholder liabilities generated from insurance funds flows

Underwriting Return (U) = Underwriting Income / AInvestment Return (r) = Investment Income of Policyholder Asset Float / A Operating Return (O) = I / A = U + rInsurance Operating Leverage (L) = A / SSurplus (S) Investment Return on Surplus = r Total Return on Surplus (R) = O x L + r

All items are based on net present value across policy / accident period lifetime

32

Example of Risk-Based Pricing – Total Return Level Risk

Risk-Adjusted

Return on Capital Return on Risk-Adjusted Capital

Und Oper Levg Total Levg Total Below Breakeven Total Return Risk

Line Ratio Return Ratio Return Ratio Return Prob Severity Risk RCR

O L R L R P (r-T) P(r-T) (R-r)/{P(r-T)}

Homeowners 90 14% 3.0 45% 0.86 15% 5% 12% 0.6% 20

Automobile 98 4 3.0 15 3.0 15 10 6 0.6 20

Workers Comp 104 2 3.0 9 6.0 15 10 6 0.6 20

Operating Leverage is the ratio of Insurance Assets to Surplus (Equity or Capital).

Total Return is as an annual percentage rate on Surplus.

In the RAROC perspective Risk-Adjustment is thru a varying Total Return. Operating Leverage is constant.

In the RORAC perspective Risk-Adjustment is thru a varying Operating Leverage. Total Return is constant.

Each line’s return reflects the relative risk of the line, with a uniform risk/return tradeoff across all lines.

RCR (Gain per Unit of Risk) is the same as at the Operating Level.

Under RORAC, Risk (expected surplus drawdown) is a constant (% points of return) along with constant return.

Finance literature refers to risk measure as “the mean lower partial moment”.

33

Appendix: Five Essential Structural Elements

Key Structural Model Elements Financial Model Completeness and Integrity: Cash Flow,

Balance Sheet and Income Statements that tie to each other without adjustments

Development Triangles of Marketing / Policy / Accident Period into Calendar Period (see next slide)

Accounting Valuations: Conventional (statutory or GAAP) and Economic (present value)

Key Structural Decision Making Elements Functional Delineation (Underwriting, Investment and Finance) Risk / Return Decision Framework

34

Appendix: Historical Evolution of the The Hartford’s Benchmark Methodology

1986: Benchmark ROE DCF/NPV model is adopted for monitoring returns by line of business in P&C. 1987: National actuarial consulting firm validates methodology for AARP. 1988: Risk-based liability leverage ratio methodology implemented (probability of ruin). 1989: The Hartford publicly advocates use of the Benchmark ROE methodology in testimony at

California’s Proposition 103 hearings and institutes Benchmark ROE methodology in company ratemaking activities.

1990: Benchmark Discounted Cash Flow Methodology Paper is published in the Proceedings of the Casualty Actuarial Society.

1992: Benchmark ROE introduced into incentive compensation. 1993: Rate of Return and Surplus Flow Papers are published in the Proceedings of the Casualty Actuarial

Society. 1992-1996: Multi-discipline team reviews concepts and promotes integration into conventional business

segment accounting exhibits. Benchmark leverage factors introduced into conventional accounting exhibits.

1996-1999: Leverage methodology modified to reflect catastrophe distributions, interest rate risk and the probability of surplus drawdown (return below breakeven) replaces the probability of ruin as primary risk criterion.

2000: Risk/return paper published in the Proceedings of the Casualty Actuarial Society. 2001: The Multi-Period Model (MPM) is created to reflect cash flows and income statements over time. 2001: Risk Coverage Ratio (RCR) article published in ASTIN. 2002: The MPM is adopted as the standard financial tool to be used across the P&C organization. All

accident year financial plans are based on MPM. 2003: Leverage methodology modified to reflect severity of adverse outcomes. 2004: Value Creation paper published in the Proceedings of the Casualty Actuarial Society. 2004: Risk metrics introduced and published as part of target underwriting ratio and leverage factor

process. 2005: RCR risk/return metric adopted in ERM throughout entire company - P&C, Life and Investment.

35

Appendix: Ten Commandments of Insurance Financial Modeling

1. Thou shalt build only models that have an integrated set of balance sheet, income and cash flow statements

2. Thou shalt remain rooted in a policy period orientation and develop calendar period results from this base

3. Thou shalt reflect both conventional and economic accounting perspectives - guided by economics, constrained by conventions

4. Thou shalt recognize the separate contributions from each of underwriting, investment and finance activities

5. Thou shalt be guided by the risk / return relationship in all aspects6. Thou shalt include all sources of company, policyholder and shareholder

revenue and expense embodied in the insurance process7. Thou shalt reflect all risk transfer activities8. Thou shalt not separate risk from return9. Thou shalt not omit any perspective or financial metric that adds understanding10. Thou shalt allow differences in result only from clearly identified differences in

assumption, and not from model omission