RCM 2: Risk and Return Analysis (in Ratemaking and Elsewhere)

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RCM 2: Risk and Return Analysis

(in Ratemaking and Elsewhere)

Russ Bingham

Vice President Actuarial Research

Hartford Financial Services

Ratemaking Seminar

Salt Lake City, Utah

March 13-14, 2006

1

Corporate Objective: Financial Discipline

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.

Conditions needed to instill a financial discipline:

Financially astute senior leadership

A committed senior management

A group (actuarial, accounting, finance) responsible for the development of

“benchmark” concepts, models and operating applications

Companywide application of benchmark concepts and models as the standard for financial valuation in:

Ratemaking and product pricing

Planning

Performance monitoring

Profitability studies

Incentive compensation

Acquisition analysis

Capital attribution

Risk/return assessment

ERM

Valuation should be on an Economic Basis (i.e. cash flow oriented) and Reflect Risk

2

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

3

Alternative Risk Metrics

 Policyholder oriented risk metrics

Probability of ruin (POR)

Expected policyholder deficit (EPD)

 Shareholder oriented risk metrics

 Variability in total return (s

R

)

Sharpe Ratio

Value at risk (VAR)

Tail Value at Risk (TVAR)

Tail Conditional Expectation (TCE)

Probability of Income Ruin (POIR)

Probability of surplus drawdown deficit (PSD)

Severity of surplus drawdown deficit (SSD)

 Expected surplus drawdown deficit (ESD)

 Risk Coverage Ratio (RCR)

 RBC and other Rating Agency measures

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

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

Only Sharpe ratio and

RCR integrate risk and return, others are an expression of risk only

4

Risk / Return Integration in Practice

 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) integrates 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

5

Risk Coverage Ratio Risk Metric

Policyholder Operating Return Level Shareholder Total Return Level

6

Connecting Risk and Return - Risk Adjustment Alternatives

RAROC: Risk-Adjusted Return On Capital

(varying return with uniform leverage)

RORAC: Return On Risk-Adjusted Capital

(uniform return with varying leverage)

7

Appendix: Economic and Risk-Based Orientation and Premises for P&C

 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, 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 ‘AA’ cash flow matched strategy considered as separate investment activity, NOT 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

 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)

8

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