A Model for Pricing Insurance Using Options
Abstract
Traditional Expected Value and Bayesian Methods of pricing insurance products are not robust both under minimal data and frequent portfolio adjustments. Deriving a partial di_erential equation for the price of a an insurance put, parallel is struck with the reverse Black Scholes partial di_erential equation for pricing call options. With appropriate parameter translation of the Black Scholes model, a Pure Premium valuation function that is an improvement over the traditional methods of pricing insurance products results. Its robustness is illustrated with the pricing of a third party insurance product for private cars.
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Wolfgang Buchholz and Michael Schymura. Expected utility theory and the tyranny of catastrophic risks.
Ecological Economics, 77:234{239, 2012.
Hans Buhlmann. The general economic premium principle. Astin Bulletin, 14(01):13{21, 1984.
Stephen P D'arcy. On becoming an actuary of the third kind. 1989.
Stephen P D'Arcy and James R Garven. Property-liability insurance pricing models: an empirical
evaluation. Journal of Risk and Insurance, pages 391{430, 1990.
Neil A Doherty and James R Garven. Price regulation in property-liability insurance: A contingent-claims approach. The Journal of Finance, 41(5):1031{1050, 1986.
Paul Embrechts. Actuarial versus _nancial pricing of insurance. The Journal of Risk Finance, 1(4):17/26,2000.
Jon Holtan. Pragmatic insurance option pricing. Scandinavian Actuarial Journal, 2007(1):53{70, 2007.
Ravi Jagannathan and Zhenyu Wang. The conditional capm and the cross-section of expected returns.
The Journal of _nance, 51(1):3{53, 1996.
Edi Karni. Savages^a subjective expected utility model. 2005.
Roger JA Laeven and Marc J Goovaerts. Premium calculation and insurance pricing. Encyclopedia of Quantitative Risk Analysis and Assessment.
Chris K Madsen, GE Insurance Solutions, Svend Haastrup, and Hal W Pedersen. A further examination of insurance pricing and underwriting cycles. 2005.
Robert C Merton. Theory of rational option pricing. The Bell Journal of economics and management science, pages 141{183, 1973.
Robert A Pollak. Additive von neumann-morgenstern utility functions. Econometrica, Journal of the Econometric Society, pages 485{494, 1967.
John Quiggin. A theory of anticipated utility. Journal of Economic Behavior & Organization, 3(4):323{343, 1982.
Neeza Thandi Sholom Feldblum. Financial pricing models for property-casualty insurance products investment yields. The Bell Journal of economics and management science, pages 141{183, 2002.
David Skurnick. Survey of loss reserving methods.
Son Van Lai and Michel Gendron. On _nancial guarantee insurance under stochastic interest rates. The GENEVA Papers on Risk and Insurance-Theory, 19(2):119{137, 1994.
Shaun S Wang. A universal framework for pricing _nancial and insurance risks. Astin Bulletin, 32(02): 213{234, 2002.
Shaun S Wang. Equilibrium pricing transforms: new results using buhlmann^as 1980 economic model.
Astin Bulletin, 33(01):57{73, 2003.
Shaun S Wang, Virginia R Young, and Harry H Panjer. Axiomatic characterization of insurance prices.Insurance: Mathematics and economics, 21(2):173{183, 1997.
Geo_ Werner and Claudine Modlin. Basic ratemaking.
Menahem E Yaari. The dual theory of choice under risk. Econometrica: Journal of the Econometric Society, pages 95{115, 1987.
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