RCM – 4: From Enterprise Risk Management to Ratemaking
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RCM – 4: From Enterprise Risk Management to Ratemaking How the Hartford’s Benchmark Methodology Approaches Risk, Price, Leverage and Return Across its Operations. Russ Bingham Vice President and Director of Corporate Research Hartford Financial Services Seminar on Ratemaking New Orleans, LA

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Russ Bingham Vice President and Director of Corporate Research Hartford Financial Services

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Russ bingham vice president and director of corporate research hartford financial services

RCM – 4: From Enterprise Risk Management to RatemakingHow the Hartford’s Benchmark Methodology Approaches Risk, Price, Leverage and Return Across its Operations

Russ Bingham

Vice President and Director of Corporate Research

Hartford Financial Services

Seminar on Ratemaking

New Orleans, LA

March 9-11, 2005


Outline

Outline

  • Basic Premises

  • Background Comments

  • Operating Return

  • Operating Return Risk / Return Line

  • Operating Return as a Basis for Risk Pricing

  • Risk Coverage Ratio Risk Metric

  • Total Return

  • The Total Risk / Return Line

    • Risk-Adjusted Return Uniform Leverage

    • Risk-Adjusted Leverage Uniform Return

  • Calibration of Risk Metric


Basic premises

Basic Premises

  • An insurance company must have a financial discipline for dealing with risk and return – this requires a companywide commitment to the process and to the development and implementation of models that employ the appropriate concepts and methodologies throughout all operations

  • The same concepts and methodology should be used in all areas including ratemaking, planning, performance monitoring, incentive compensation, and ERM

  • The critical cornerstones are risk, price, leverage and return


Background comments

Background Comments

  • Volatility characteristics of input and output variables are a key component of risk assessment but volatility alone does not represent risk

  • Risk lies in the potential for adverse outcomes, which is a function of both the level of and volatility in important variables of interest

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

  • Policyholder level risk / return relationship is based on operating return

  • Shareholder level risk / return relationship is based on total return

  • Where possible policyholder and shareholder risks are not intermingled

  • Price is the lever that addresses policyholder sources of risk and capital attribution (i.e. leverage) the lever that addresses shareholder risk sources

  • A risk metric is a statistic derived from the distribution of outcomes of a particular variable of interest related to the occurrence of an adverse event (frequency, severity, etc.)


Operating return

Operating Return

  • Operating Income is underwriting income and investment income on policyholder float (surplus and investment income on surplus is excluded).

  • Operating Return (OR) is operating income expressed relative to policyholder (PH) liabilities (or their asset equivalent):

    • Benchmark OR = NPV[u/w + PH inv inc] / NPV[liabilities]

    • Investment return on PH funds minus cost of PH funds

    • IRR of policyholder level cash flows


Operating risk return line

Operating Risk / Return Line

  • OR risk / return line is set based on risk metric.

  • The slope of the risk / return line is equivalent to the Sharpe ratio (z-value) in a normal distribution.

  • Inherent OR volatility differs among lines of business.

  • Risk-based price is determined which reflects each line’s volatility and satisfies risk metric.

  • Risk can be reduced by increasing slope of risk / return line which forces an increase in price.

    PRICE IS RISK-BASED


Operating return as a basis for risk pricing

Operating Return as a Basis for Risk Pricing

The price (premium) that reflects the volatility in each line of business and satisfies the risk criterion places the expected operating distribution on the risk / return line.


Russ bingham vice president and director of corporate research hartford financial services

Each Line is Priced to Satisfy Specified Risk Criterion Which Places Distribution on Operating Risk / Return Line


Total return

Total Return

  • Total Return is Operating Return Levered plus the Investment Return on Surplus:

    • ROS = OR x L/S + r

      • OR = (U + r L) / L

      • L / S is leverage ratio

      • r is after-tax, benchmark yield on investments

  • Operating Risk / Return characteristics remain when translated to Total Return:

    • Risk breakeven threshold shifts from OR=0 to ROE=r.

    • L/S is a multiplier that affects return and volatility similarly without disrupting risk/return relationship.


Russ bingham vice president and director of corporate research hartford financial services

Each Line Priced Satisfies Total Return Risk Criterion and Places Distribution on Total Risk / Return Line

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


Risk return characteristics translate from operating to total return

Risk / Return Characteristics Translate From Operating to Total Return

The total return RCR risk metric is the same as the operating return RCR.


The total risk return line risk adjusted return uniform leverage

The Total Risk / Return LineRisk-Adjusted Return (Uniform Leverage)

The risk / return line shown assumes a uniform leverage in all lines of business (typically corporate overall average).


The total risk return line risk adjusted leverage with uniform return

The Total Risk / Return Line:Risk-Adjusted Leverage (with Uniform Return)

All lines of business are restated to a uniform 15% return with uniform volatility via altered risk-adjusted leverage.


Risk adjusted return vs risk adjusted leverage

Risk-Adjusted Return vs Risk-Adjusted Leverage

  • Two equivalent alternatives which differ in the form of presentation. At same premium & combined ratio –

    • Maintain a fixed leverage, but vary the total return based on volatility

      • This avoids varying allocation of surplus to lines of business

    • Maintain a fixed total return, but vary leverage to adjust for volatility

      • This makes regulatory environment less contentious


Calibration of risk metric

Calibration of Risk Metric

  • The risk metric is calibrated to insure that the risk–adjusted leverage ratios when applied to all lines of business produce an underwriting risk equity consistent with rating and other capital requirements.

  • Benchmark underwriting leverage ratios (liability / surplus) are determined which are used in numerous applications (pricing, planning, monitoring).

  • Calibration considerations:

    • Shift from benchmark accident year (present value of future equity needs) to a calendar perspective to support current and previous business writings;

    • Incorporate investment risk equity and debt.


Ten commandments of insurance financial modeling

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 aspects

6. Thou shalt include all sources of company, policyholder and shareholder revenue and expense embodied in the insurance process

7. Thou shalt reflect all risk transfer activities

8. Thou shalt not separate risk from return

9. Thou shalt not omit any perspective or financial metric that adds understanding

10. Thou shalt allow differences in result only from clearly identified differences in assumption, and not from model omission


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