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The Pricing of Insurance Contracts by Financial Models and Rationality

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Operations Research ’92
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Abstract

Actuarial risk can be appropriately described as the probability distribution of the costs for the potential claims, and it is a fundamental problem of actuarial science to evaluate a suitable risk premium when the risk shall be insured. As a first way to get a solution for this problem, there is a large number of real-valued functions of the set of probability distributions, the so-called premium principles.

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References

  • Albrecht, P.: Kapitalmarkttheoretische Fundierung der Versicherung?; in: Zeitschrift für die gesamte Versicherungswissenschaft 80/3–4 (1991), p.499-530.

    Google Scholar 

  • Brockett, P.L. / Kahane, Y.: Risk, Return, Skewness and Preference; in: Management Science 38/6 (1992), p.851–866.

    Article  Google Scholar 

  • Brockett, P.L. / Witt, R.C.: Relevant Distributions for Insurance Prices in an Arbitrage Free Equilibrium; in: The Journal of Risk and Insurance 58/1 (1991), p.13–29.

    Article  Google Scholar 

  • Cummins, J.D.: Asset Pricing Models and Insurance Ratemaking; in: The Astin Bulletin 20/2 (1990), p.125–166.

    Article  Google Scholar 

  • Feller, W.: An Introduction to Probability Theory and Its Applications, volume II; Wiley & Sons, New York/London/Sydney 1971.

    Google Scholar 

  • Gänssler, P. / Stute, W.: Wahrscheinlichkeitstheorie; Springer-Verlag, Berlin/Heidelberg/New York 1977.

    Book  Google Scholar 

  • Heilmann, W.-R.: Fundamentals of Risk Theory; Verlag Versicherungswirtschaft, Karlsruhe 1988.

    Google Scholar 

  • Ingersoll, J.E.: Theory of Financial Decision Making; Rowman & Littlefield, Totowa (New Jersey) 1987.

    Google Scholar 

  • Kraus, A. / Litzenberger, R.H.: Skewness Preference and the Valuation of Risk Assets; in: The Journal of Finance 31/4 (1976), p.1085–1100.

    Google Scholar 

  • SchneeweiB, H.: Entscheidungskriterien bei Risiko; Springer-Verlag, Berlin/Heidelberg/New York 1966.

    Google Scholar 

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© 1993 Springer-Verlag Berlin Heidelberg

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Schott, W. (1993). The Pricing of Insurance Contracts by Financial Models and Rationality. In: Karmann, A., Mosler, K., Schader, M., Uebe, G. (eds) Operations Research ’92. Physica, Heidelberg. https://doi.org/10.1007/978-3-662-12629-5_158

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  • DOI: https://doi.org/10.1007/978-3-662-12629-5_158

  • Publisher Name: Physica, Heidelberg

  • Print ISBN: 978-3-7908-0679-3

  • Online ISBN: 978-3-662-12629-5

  • eBook Packages: Springer Book Archive

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