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A Universal Framework for Pricing Financial and Insurance Risks

Published online by Cambridge University Press:  29 August 2014

Shaun S. Wang
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Abstract

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This paper presents a universal framework for pricing financial and insurance risks. Examples are given for pricing contingent payoffs, where the underlying asset or liability can be either traded or not traded. The paper also outlines an application of the framework to prescribe capital allocations within insurance companies, and to determine fair values of insurance liabilities.

Type
Articles
Information
ASTIN Bulletin: The Journal of the IAA , Volume 32 , Issue 2 , November 2002 , pp. 213 - 234
Copyright
Copyright © International Actuarial Association 2002

References

Black, F. and Scholes, M. (1973) The pricing of options and corporate liabilities, Journal of Political Economy, 05-06, 81, 637–659.CrossRefGoogle Scholar
Bault, T. (1995) Discussion of Feldblum (1990), PCAS, LXXXII, 78–96.Google Scholar
Buhlmann, H. (1980) “An economic premium principle,” ASTIN Bulletin 11, 52–60.CrossRefGoogle Scholar
Butsic, R.P. (1988) Determining the proper interest rate for loss reserve discounting: an economic approach, CAS Discussion Paper Program, 147–188. It is available for download from website: http://www.casact.org/pubs/dpp/dpp88.Google Scholar
Butsic, R.P. (1999) Capital Allocation for property-liability insurers: a catastrophe reinsurance application, Casualty Actuarial Society Forum, Spring 1999 Reinsurance Call Papers, 1–70.Google Scholar
CAS Task Force on Fair Value Liabilities, 2000, White paper on fair valuing property/casualty insurance liabilities, Casualty Actuarial Society.Google Scholar
Cox, J.C. and Ross, S.A. (1976) The valuation of options for alternative stochastic processes, Journal of Financial Economics 3, 145–166.CrossRefGoogle Scholar
D'arcy, S.P. (1988) Use of CAPM to discount Property-Liability loss reserves”, Journal of Risk and Insurance 55:3, 481–490.CrossRefGoogle Scholar
Derman, E. (1996) Reflections on Fischer, The Journal of Portfolio Management, Special Issue, 12 1996. Available on the Goldman Sachs website, http://www.goldmansachs.com/qs/doc/reflections_on_fischer.htmlGoogle Scholar
Embrechts, P., Kluppelberg, C. and Mikosch, T. (1997) Modelling Extreme Events for Insurance and Finance, Springer-Verlag.CrossRefGoogle Scholar
Hull, J. (1997) Options, Futures, and Other Derivatives, 3rd edition, Prentice Hall, Upper Saddle River, New Jersey.Google Scholar
Merton, R.C. (1973) An intertemporal capital asset pricing model, Econometrica 41, 867–880.CrossRefGoogle Scholar
Mildenhall, S. (2000) Discussion of Michael Wacek's 1997 PCAS Paper – “Application of the option market paradigm to the solution of insurance problems,” Proceedings of the Casualty Actuarial Society, Volume LXXXVII. It is available on-line from http://www.casact.org/pubs/proceed/proceedOO/index.htmGoogle Scholar
Panjer, H.H. (ed.) (1998) Financial Economics, The Actuarial Foundation, Schaumburg, IL.Google Scholar
Philbrick, S. (1994) Accounting for risk margins, Casualty Actuarial Society Forum, Spring 1994. It will be available for download on website www.casact.org/pubs/pubs.htm.Google Scholar
Venter, G.G. (1991) Premium implications of reinsurance without arbitrage, ASTIN Bulletin 21(2), 223–230.CrossRefGoogle Scholar
Venter, G.G. (1998) Discussion of “Implementation of PH-transforms in ratemaking” by Wang, S.S., Proceedings of the Casualty Actuarial Society, Vol. LXXXV. It is available for download on website www.casact.org/pubs/pubs.htm.Google Scholar
Venter, G.G. (2002) Allocating Surplus – Not!CAS Actuarial Renew, 02 2002, 5–6.Google Scholar
Wang, S.S. (1998) Aggregation of correlated risks: models and algorithms, Proceedings of the Casualty Actuarial Society, Vol. LXXXV, 848–939. It is available for download on website www.casact.org/pubs/pubs.htm.Google Scholar
Wang, S.S. (2000) A class of distortion operators for pricing financial and insurance risks, Journal of Risk and Insurance 67(1), 15–36.CrossRefGoogle Scholar
Wang, S.S. (2002a) Pricing of Catastrophe Bonds, Chapter 11 of “Alternative Risk Strategies” edited by Lane, Morton, Risk Publications, London, 221–240.Google Scholar
Wang, S.S. (2002b) Equilibrium pricing transforms: new results of Buhlmann's 1980 economic model, presented at the 2002 AFIR Meeting in Cuncun, Mexico; to appear in ASTIN Bulletin.CrossRefGoogle Scholar