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Asset Pricing Models and Insurance Ratemaking

  • J. David Cummins (a1)

Abstract

This paper provides an introduction to asset pricing theory and its applications in non-life insurance. The first part of the paper presents a basic review of asset pricing models, including discrete and continuous time capital asset pricing models (the CAPM and ICAPM), arbitrage pricing theory (APT), and option pricing theory (OPT). The second part discusses applications in non-life insurance. Among the insurance models reviewed are the insurance CAPM, discrete time discounted cash flow models, option pricing models, and more general continuous time models. The paper concludes that the integration of actuarial and financial theory can provide major advances in insurance pricing and financial management.

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Copyright

Corresponding author

Department of Insurance, The Wharton School of the University of Pennsylvania, 3641 Locust Walk, Philadelphia, PA 19104-6218, USA.

References

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Abramowitz, Milton and Stegun, Irene (1970) Handbook of Mathematical Functions (New York: Dover Publications).
Ang, James S. and Lai, Tsong-Yue (1987) Insurance Premium Pricing and Ratemaking in Competitive Insurance and Capital Asset Markets. Journal of Risk and Insurance 54, 767779.
Biger, Nihum and Kahane, Yehuda (1978) Risk Considerations In Insurance Ratemaking. Journal of Risk and Insurance 45, 121132.
Black, Fischer and Scholes, Myron (1973) The Pricing of Options and Corporate Liabilities. Journal of Political Economy 81, 637654.
Borch, Karl (1974) The Mathematical Theory of Insurance. (Lexington, MA: Lexington Books).
Boyle, Phelim (1988) A Lattice Framework for Option Pricing With Two State Variables. Journal of Financial and Quantitative Analysis 23, 112.
Brealey, Richard A. and Myers, Stewart C. (1988) Principles of Corporate Finance, 3rd ed. (New York: McGraw-Hill Book Company).
Breedon, D. T. (1979) An Intertemporal Asset Pricing Model with Stochastic Investment and Consumption Opportunities. Journal of Financial Economics 6, 273296.
Brennan, M.J. (1979) The Pricing of Contingent Claims In Discrete Time Models. Journal of Finance 24, 5368.
Buhlmann, Hans (1980) An Economic Premium Principle. ASTIN Bulletin 11, 5260.
Buhlmann, Hans (1984) The General Economic Premium Principle. ASTIN Bulletin 14, 1321.
Cooper, Robert W. (1974) Investment Return and Property-Liability Insurance Ratemaking (Philadelphia: S.S. Huebner Foundation, University of Pennsylvania).
Cox, John D. and Ross, Stephen (1976) The Valuation of Options for Alternative Stochastic Processes. Journal of Finance 31, 383402.
Cox, John D. and Rubinstein, Mark (1985) Options Markets. (Englewood Cliffs, N.J.: Prentice-Hall).
Copeland, Thomas E. and Weston, J. Fred (1988) Financial Theory and Corporate Policy, 3d. ed. (Reading, MA: Addison-Wesley Publishing Company).
Cummins, J. David (1988a) Risk-Based Premiums for Insurance Guaranty Funds. Journal of Finance 43, 823839.
Cummins, J. David (1988b) Capital Structure and Fair Profits In Property-Liability Insurance, working paper, University of Pennsylvania.
Cummins, J. David (1990) Multi-Period Discounted Cash Flow Ratemaking Models In Property-Liability Insurance. Journal of Risk and Insurance 57, 79109.
Cummins, J. David and Chang, Lena (1983) An Analysis of the New Jersey Formula for Including Investment Income In Property-liability Insurance Ratemaking. Journal of Insurance Regulation 1, 555573.
Cummins, J. David and Derrig, Richard A. (1989) Financial Models of Insurance Solvency (Norwell, MA: Kluwer Academic Publishers).
Cummins, J. David and Harrington, Scott E. (1985) Property-Liability Insurance Rate Regulation: Estimation of Underwriting Betas Using Quarterly Profit Data. Journal of Risk and Insurance 52, 1643.
Cummins, J. David and Harrington, Scott E. (1987) Fair Rate of Return In Property-Liability Insurance (Norwell, MA: Kluwer Academic Publishers).
D'Arcy, Stephen and Doherty, Neil A. (1988) Financial Theory of Insurance Pricing (Philadelphia: S.S. Huebner Foundation).
D'Arcy, Stephen and Garven, James R. (1988) Financial Pricing Models of Property-Liability Insurance: An Empirical Evaluation, working paper, The Pennsylvania State University.
Derrig, Richard A. (1985) The Effect of Federal Income Taxes on Investment Income in Property-Liability Ratemaking, working paper, Automobile Insurers Rating Bureau of Massachusetts, Boston, MA.
Doherty, Neil A. and Garven, James R. (1986) Price Regulation in Property-Liability Insurance: A Contingent Claims Approach. Journal of Finance 41, 10311050.
Duffie, Darrell (1988) Security Markets: Stochastic Models (New York: Academic Press).
Fairley, William (1979) Investment Income and Profit Margins In Property-Liability Insurance: Theory and Empirical Tests. Bell Journal 10, 192210.
Fama, Eugene F. (1977) Risk-Adjusted Discount Rates and Capital Budgeting Under Uncertainty. Journal of Financial Economics 4, 321.
Greenwald, Bruce C. and Stiglitz, Joseph E. (1990) Asymmetric Information and the New Theory of the Firm: Financial Constraints and Risk Behavior. American Economic Review 80, 160165.
Hill, Raymond (1979) Profit Regulation in Property-Liability Insurance. Bell Journal 10, 172191.
Ingersoll Jonathan, E. Jr. (1987) Theory of Financial Decision Making (Totowa, NJ: Rowman & Littlefield).
Jarrow, Robert (1988) Finance Theory (Englewood Cliffs, NJ: Prentice-Hall).
Jarrow, Robert and Rudd, Andrew (1983) Option Pricing (Homewood, IL: Richard D. Irwin).
Kahane, Yehuda (1979) The Theory of Insurance Risk Premiums — A Re-examination in the Light of Recent Developments in Capital Market Theory. ASTIN Bulletin 10, 223239.
Karlin, Samuel and Taylor, Howard (1981) A Second Course In Stochastic Processes (New York: Academic Press).
Kraus, Alan and Ross, Stephen (1982) The Determination of Fair Profits for the Property-Liability Insurance Firm. Journal of Finance 33, 10151028.
Levy, Haim and Sarnat, Marshall (1984) Portfolio and Investment Selection: Theory and Practice (Englewood Cliffs, NJ: Prentice-Hall).
Markowitz, Harry (1952) Portfolio Selection. Journal of Finance 7, 7791.
Markowitz, Harry (1959) Portfolio Selection: Efficient Diversification of Investment (New York: John Wiley & Sons).
Mayers, David and Smith, Clifford W. (1982) On the Corporate Demand for Insurance. Journal of Business 55, 281296.
Merton, Robert C. (1973a) Theory of Rational Option Pricing. Bell Journal of Economics and Management Science 4, 141183.
Merton, Robert C. (1973b) An Intertemporal Capital Asset Pricing Model. Econometrica 41, 867880.
Merton Robert, C. (1976) Option Prices Where Underlying Stock Returns Are Discontinuous. Journal of Financial Economics 3, 125144.
Muller, H.H. (1988) Modern Portfolio Theory: Some Main Results. ASTIN Bulletin 18, 127146.
Myers, Stewart and Cohn, Richard (1987) Insurance Rate Regulation and the Capital Asset Pricing Model, in Cummins, J. D. and Harrington, S. E., eds., Fair Rate of Return In Property-Liability Insurance (Norwell, MA: Kluwer Academic Publishers).
Owen, Joel and Rabinovitch, Ramon (1983) On the Class of Elliptical Distributions and Their Applications to the Theory of Portfolio Choice. Journal of Finance 38, 745752.
Roll, Richard (1977) A Critique of the Capital Asset Pricing Theory's Tests: Part I: On Past and Potential Testability of the Theory. Journal of Financial Economics 4, 129176.
Roll, Richard and Ross, Stephen A. (1980) An Empirical Investigation of the Abritrage Pricing Theory. Journal of Finance 35, 10731104.
Ross, Stephen A. (1976) The Arbitrage Theory of Capital Asset Pricing. Journal of Economic Theory 13, 341360.
Ross, Stephen A. (1977) Risk, Return, and Arbitrage, in Friend, I. and Bicksler, J., eds., Risk and Return in Finance, v.I. (Cambridge, MA: Ballinger Publishing Co.).
Ross, Stephen A. and Westerfield, Randolph (1988) Corporate Finance (St. Louis, MO: Times Mirror/Mosby College Publishing).
Rothschild, Michael and Stiglitz, Joseph E. (1970) Increasing Risk I: A definition. Journal of Economic Theory 2, 225243.
Rothschild, Michael and Stiglitz, Joseph E. (1972) Increasing Risk II: Its Economic Consequences. Journal of Economic Theory 3, 6684.
Rothschild, Michael and Stiglitz, Joseph E. (1976) Equilibrium in Competitive Insurance Markets: An Essay on the Economics of Imperfect Information. Quarterly Journal of Economics 90, 629650.
Schweizer, M. and Follmer, H. (1988) Hedging By Sequential Regression: An Introduction to the Mathematics of Options Trading. ASTIN Bulletin 18, 147160.
Turner, Andrew L. (1987) Insurance in an Equilibrium Asset Pricing Model, in Cummins, J.D. and Harrington, S. E., eds., Fair Rate of Return in Property-Liability Insurance (Norwell, MA: Kluwer Academic Publishers).

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Asset Pricing Models and Insurance Ratemaking

  • J. David Cummins (a1)

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