Utility functions: From risk theory to finance

North American Actuarial Journal

Volumn 2, Issue 3, 1998, Pages 74-91

  Gerber, Hans U ^a   Pafum, Gérard ^a  

^a UNIVERSITY OF LAUSANNE   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0042186181     PISSN: 10920277     EISSN: None     Source Type: Journal    
DOI: 10.1080/10920277.1998.10595728     Document Type: Article

References (30)

1. Aase, K.K. 1993. “Equilibrium in a Reinsurance Syndicate; Existence, Uniqueness and Characterisation,” ASTIN Bulletin 23:185–211.
2. Arrow, K.J. 1963. “Uncertainty and the Welfare Economics of Medical Care,” The American Economic Review 53:941–73.
3. Baton, B., and Lemaire, J. 1981. “The Core of a Reinsurance Market,” ASTIN Bulletin 12:57–71.
4. Bernoulli, D. 1954. “Exposition of a New Theory on the Measurement of Risk” (translation of “Specimen Theoriae Novae De Mensura Sortis,” St. Petersburǵ, 1738), Econometrica 22:23–36.
5. Black, F., and Scholes, M. 1973. “The Pricinǵ of Options and Corporate Liabilities,” Journal of Political Economy 81: 637–55.
6. Borch, K. 1960. “The Safety Loadinǵ of Reinsurance Premiums,” Skandinavisk Aktuarietidskrift 43:163–84.
7. Borch, K. 1962. “Equilibrium in a Reinsurance Market,” Econometrica 30:424–444.
8. Borch, K. 1974. The Mathematical Theory of Insurance. Lexinǵton, Mass.: Lexinǵton Books.
9. Borch, K. 1990. Economics of Insurance, edited by K.K. Aase and A. Sandmo. Amsterdam: North-Holland.
10. Bowers, N., Gerber, H.U., Hickman, J., Jones, D., and Nesbitt, C. 1997. Actuarial Mathematics, 2nd ed. Schaumburǵ, Ill.: Society of Actuaries.
11. Bühlmann, H. 1970. Mathematical Methods in Risk Theory. New York: Sprinǵer-Verlaǵ.
12. Bühlmann, H. 1980. “An Economic Premium Principle,” ASTIN Bulletin 11:52–60.
13. Bühlmann, H. 1984. “The General Economic Premium Principle,” ASTIN Bulletin 14:13–21.
14. Bühlmann, H., and Jewell, W.S. 1979. “Optimal Risk Exchanǵes,” ASTIN Bulletin 10:243–62.
15. Chan, F.-Y., and Gerber, H.U. 1985. “The Reinsurer’s Monopoly and the Bowley Solution,” ASTIN Bulletin 15:141–48.
16. Du Mouchel, W. 1968. “The Pareto-Optimality of a n-Company Reinsurance Treaty,” Skandinavisk Aktuarietidskrift 51: 165–70.
17. Gerber, H.U. 1975. “The Surplus Process as a Fair Game— Utilitywise,” ASTIN Bulletin 8:307–22.
18. Gerber, H.U. 1979. “An Introduction to Mathematical Risk Theory,” S.S. Huebner Foundation monoǵraph. Philadelphia.
19. Gerber, H.U. 1984. “Chains of Reinsurance,” Insurance: Mathematics and Economics 3:43–8.
20. Gerber, H.U. 1987. “Actuarial Applications of Utility Functions,” in Actuarial Science, number 6 in Advances in the Statistical Sciences, edited by I. MacNeill and G. Umphrey. Dordrecht, Holland: Reidel, pp. 53–61.
21. Gerber, H.U., and Shiu, E.S.W. 1994a. “Martinǵale Approach to Pricinǵ Perpetual American Options,” ASTIN Bulletin 24:195–220.
22. Gerber, H.U., and Shiu, E.S.W. 1994b. “Option Pricinǵ by Esscher Transforms,” Transactions of the Society of Actuaries 46:99–140.
23. Gerber, H.U., and Shiu, E.S.W. 1996. “Actuarial Bridǵes to Dynamic Hedǵinǵ and Option pricinǵ,” Insurance: Mathematics and Economics 18:183–218.
24. Kahn, P. 1961. “Some Remarks on a Recent Paper by Borch,” ASTIN Bulletin 1:263–72.
25. Lienhard, M. 1986. “Calculation of Price Equilibria for Utility Functions of the HARA Class,” ASTIN Bulletin 16C:S91–S97.
26. Panjer, H., Boyle, P., Cox, S., Dufresne, D., Gerber, H., Müller, H., Pedersen, H., Pliska, S., Sherris, M., Shiu, E., and Tan, K. 1998. Financial Economics: With Applications to Investments, Insurance and Pensions. Schaumburǵ, Ill.: The Actuarial Foundation.
27. Seal, H.L. 1969. Stochastic Theory of a Risk Business. New York: Wiley.
28. Taylor, G.C. 1992a. “Risk Exchanǵe I: A Unification of Some Existinǵ Results,” Scandinavian Actuarial Journal, 15–39.
29. Taylor, G.C. 1992b. “Risk Exchanǵe II: Optimal Reinsurance Contracts,” Scandinavian Actuarial Journal, 40–59.
30. Von Neumann, J., and Morǵenstern, O. 1947. The Theory of Games and Economic Behavior, 2nd ed. Princeton, N.J.: Princeton University Press.