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Premium Calculation Without Arbitrage? A note on a contribution by G. Venter

Published online by Cambridge University Press:  29 August 2014

Peter Albrecht
Peter Albrecht*
Affiliation:
Institute for Insurance Sciences, University of Mannheim
*
Institute for Insurance Sciences, University of Mannheim, D-6800 Mannheim, Schloß.
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Abstract

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Stimulated by a recent contribution by G. Venter in this journal the adequate-ness of (re-)insurance premium calculation based on the hypothesis of arbitrage free (re-)insurance markets is questioned. It is argued that—in contrast to the theory of financial markets—it is not reasonable to demand that insurance markets are arbitrage free. In addition the adjusted distribution principles put forward by Venter are claimed to be invalid.

Keywords

Premium calculationno-arbitrage conditionfinancial insurance pricing
Type
Discussion Papers
Information
ASTIN Bulletin: The Journal of the IAA , Volume 22 , Issue 2 , November 1992 , pp. 247 - 254
Copyright
Copyright © International Actuarial Association 1992

References

Albrecht, P. (1991a) Financial approach to actuarial risks?2nd AFIR International Colloquium, Brighton, Vol. 4, 227–247.Google Scholar
Albrecht, P. (1991b) Kapitalmarkttheoretische Fundierung der Versicherung? Zeitschrift für die gesamte Versicherungswissenschaft 80, 499–530.CrossRefGoogle Scholar
Beard, R. E., Pentikäinen, T. and Pesonen, E. (1984) Risk Theory. 3rd ed., Chapman and Hall.CrossRefGoogle Scholar
Borch, K. (1982) Additive insurance premiums: A note. Journal of Finance 37, 1295–1298.CrossRefGoogle Scholar
Cox, J.C. and Ross, S. (1976) The valuation of options for alternative stochastic processes. Journal of Financial Economics 3, 145–166.CrossRefGoogle Scholar
Cummins, J.D. (1990) Asset pricing models and insurance ratemaking. ASTIN Bulletin 20, 125–166.CrossRefGoogle Scholar
Delbaen, F. and Haezendonck, J. (1989) A martingale approach to premium calculation principles in an arbitrage free market. Insurance: Mathematics and Economics 8, 269–277.Google Scholar
Goovaerts, M.J., De Vylder, F. and Haezendonck, J. (1984) Insurance Premiums, North-Holland.Google Scholar
Harrison, J. M. and Kreps, D. M. (1979) Martingale and arbitrage in multiperiod security markets. Journal of Economic Theory 20, 381—408.CrossRefGoogle Scholar
Harrison, J. M. and Pliska, S. R. (1981) Martingales and stochastic integrals in the theory of continuous trading. Stochastic Processes and their Applications 11, 215–260.CrossRefGoogle Scholar
Ingersoll, J. E. (1987) Theory of Financial Decision Making. Rowman & Littlefield Publishers.Google Scholar
Kraus, A. and Ross, S.A. (1982) The determination of fair profits for the property-liability insurance firm. Journal of Finance 37, 1015–1028.Google Scholar
Smith, A. D. (1991) Option pricing formulae. 2nd AFIR International Colloquium, Brighton, Vol. 2, 415–452.Google Scholar
Sondermann, D. (1988) Reinsurance in arbitrage free markets. Discussion Paper No. 13-82. Department of Economics, University of Bonn.Google Scholar
Varian, H. R. (1987) The arbitrage principle in financial economics. Journal of Economic Perspectives 1, 55–72.CrossRefGoogle Scholar
Venter, G.G. (1991) Premium calculation implications of reinsurance without arbitrage. ASTIN Bulletin 21, 223–230.CrossRefGoogle Scholar