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Fair Valuation of Various Participation Schemes in Life Insurance

Published online by Cambridge University Press:  17 April 2015

Pierre Devolder  and
Inmaculada Domínguez-Fabián
Pierre Devolder
Affiliation:
Institut des Sciences Actuarielles, Université Catholique de Louvain, 6, rue des Wallons, 1348 Louvain-la-Neuve, Belgium, E-mail: [email protected]
Inmaculada Domínguez-Fabián
Affiliation:
Department of Financial Economy, University of Extremadura, Spain, E-mail: [email protected]
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Abstract

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Fair valuation is becoming a major concern for actuaries, especially in the perspective of IAS norms. One of the key aspects in this context is the simultaneous analysis of assets and liabilities in any sound actuarial valuation. The aim of this paper is to illustrate these concepts, by comparing three common ways of giving bonus in life insurance with profit: reversionary, cash or terminal. For each participation scheme, we compute the fair value of the contract taking into account liability parameters (guaranteed interest rate and participation level) as well as asset parameters (market conditions and investment strategy). We find some equilibrium conditions between all those coefficients and compare, from an analytical and numerical point of view, the systems of bonus. Developments are made first in the classical binomial model and then extended in a Black and Scholes economy.

Keywords

Fair valueparticipation schemeasset and liability management
Type
Workshop
Information
ASTIN Bulletin: The Journal of the IAA , Volume 35 , Issue 1 , May 2005 , pp. 275 - 297
Copyright
Copyright © ASTIN Bulletin 2005

References

Aase, K.K. and Persson, S.A. (1994) Pricing of unit-linked life insurance policies, Scandinavian Actuarial Journal, 1, 26–52.CrossRefGoogle Scholar
Bacinello, A.R. (2001) Fair pricing of Life Insurance participating policies with a minimum interest rate guaranteed, ASTIN Bulletin, 31(2), 275–298.CrossRefGoogle Scholar
Bacinello, A.R. (2003a) Fair valuation of a guaranteed life insurance participating contract embedding a surrender option, Journal of Risk and Insurance, 70(3), 461–487.CrossRefGoogle Scholar
Bacinello, A.R. (2003b) Pricing guaranteed life insurance participating policies with annual premiums and surrender option, North American Actuarial Journal, 7(3), 1–17.CrossRefGoogle Scholar
Briys, E. and De Varenne, F. (1997) On the risk of insurance liabilities: debunking some common pitfalls, Journal of Risk an Insurance, 64(4), 673–694.CrossRefGoogle Scholar
Bühlman, H. (2002) New Math for Life Actuaries, ASTIN Bulletin, 32(2), 209–211.CrossRefGoogle Scholar
Brennan, M.J. and Schwartz, E.S. (1976) The pricing of equity linked life insurance policies with an asset value guarantee, Journal of Financial Economics, 3, 195–213.CrossRefGoogle Scholar
Cox, J., Ross, S. and Rubinstein, M. (1979) Option Pricing: a simplified approach, Journal of Financial Economics, 7, 229–263.CrossRefGoogle Scholar
Delbaen, F. (1986) Equity linked policies, BARAB, 80, 33–52.Google Scholar
Devolder, P. and Domínguez-Fabián, I. (2004) Deflators, actuarial discounting and fair value, Finance, 25, 49–69.Google Scholar
Grosen, A. and Jorgensen, P.L. (2000) Fair valuation of life insurance liabilities: the impact of interest rate guarantees, surrender options and bonus policies, Insurance: Mathematics and Economics, 26(1), 37–57.Google Scholar
Haberman, S., Ballotta, L. and Wang, N. (2003) Modelling and valuation of guarantees in with-profit and unitised with profit life insurance contracts, 7th Insurance: Mathematics and Economics congress, Lyon.CrossRefGoogle Scholar
Hansen, M. and Miltersen, K.R. (2002) Minimum rate of return guarantees: the Danish case, Scandinavian Actuarial Journal, 4(4), 280–318.CrossRefGoogle Scholar
Hardy, M. (2003) Investement guarantees: modelling and risk management for equity-linked insurance, John Wiley & Sons.Google Scholar
Moller, T. (1998) Risk minimizing hedging strategies for unit-linked life insurance contracts, Astin Bulletin, 28, 17–47.CrossRefGoogle Scholar
Nielsen, J.A. and Sandmann, K. (1995) Equity-linked life insurance: a model with stochastic interets rates, Insurance: Mathematics and Economics, 16, 225–253.Google Scholar
Norberg, R. (2002) Life Insurance Mathematics 2002, 6th Insurance: Mathematics and Economics congress, Lisbon.Google Scholar