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Value and Prices in a Reinsurance Market*

Published online by Cambridge University Press:  29 August 2014

Flavio Pressacco*
Affiliation:
Istituto di Matematica Finanziaria, Università di Trieste. Trieste, Italy
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Abstract

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This paper concerns the Borch model of a reinsurance market seen as a model of an economy under uncertainty.

In a market of this type the goods traded are unit coverings contingent to a particular state of nature (n-tuple of claims).

Our idea is to regard the probability of a state of nature as a sort of intrinsic value of the related contingent covering. From this point of view we examine the role of the reinsurance market in modifying values in market equilibrium prices and other questions, related to this classical economic problem, in the particular case of a quadratic utility function for all companies.

Type
Research Article
Copyright
Copyright © International Actuarial Association 1979

Footnotes

*

An earlier version of this paper was presented at the 14th ASTIN Colloquium, Taormina, October 1978.

References

REFERENCES

Arrow, K. J., (1953). Le rô1e des valeurs boursières pour la répartition la meilleure des risques, Econométrie, CNRS Paris, 4148. Translated as: The Role of Securities in the Optimal Allocation of Risk-bearing, Review of Economic Studies, 31, 9196, (1964).Google Scholar
Arrow, K. J. (1974). Optimal Insurance and Generalized Deductibles, Scandinavian Actuarial Journal, 1, 142.CrossRefGoogle Scholar
Arrow, K. J. and Hahn, F. (1971). General Competitive Analysis, Oliver and Boyd, Edinburgh.Google Scholar
Borch, K. (1960). The Safety Loading of Reinsurance Premiums, Skandinavisk Aktuarietidskrift, 43, 163184.Google Scholar
Borch, K. (1962). Equilibrium in a Reinsurance Market, Econometrica, 30, 424444.CrossRefGoogle Scholar
Bühlmann, H. and Gerber, H. (1978). Risk Bearing and the Insurance Market, The ASTIN Bulletin, 10, 1224.CrossRefGoogle Scholar
Caspi, Y. (1975). A Limit Theorem on Competitive Equilibrium of an Economy under Uncertainty, International Economic Review, 16, 336344.CrossRefGoogle Scholar
Debreu, G. (1959). Theory of Value, John Wiley & Sons Inc., New York.Google Scholar
Dobb, M. (1973). Theories of Values and Distribution since Adam Smith, Cambridge University Press, Cambridge.CrossRefGoogle Scholar
Drèze, J. (1971). Market Allocation under Uncertainty, European Economic Review, 2, 133165.CrossRefGoogle Scholar
Finetti, B. de (1974). Theory of Probability, Vol. I, John Wiley & Sons Co. Ltd., London.Google Scholar
Pratt, J. (1964). Risk Aversion in the Small and in the Large, Econometrica, 32, 122136.CrossRefGoogle Scholar
Savage, L. J. (1971). Elicitation of Personal Probabilities and Expectations, Journal of the American Statistical Association, 66, 783801. Reprinted as Chapter 4.1 of S. E. Fienberg and A. Zeixner (1975), Studies in Bayesian Econometrics and Statistics, North-Holland Publishing Company, Amsterdam.CrossRefGoogle Scholar