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An option pricing approach to bonus policy. In memoriam Anthony P. Limb

Published online by Cambridge University Press:  20 April 2012

A. D. Wilkie
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Extract

In this paper I discuss a simple application of option pricing theory to bonuses on with-profits life assurance policies. The approach is a new one and I have been able to make only an introductory exploration of its possible applications. Nevertheless it seems to me to give actuaries some sort of a handle for gripping the rather intractable problem of the relationship between reversionary bonus, terminal bonus and the proceeds of comparable unit-linked policies. I look at the problem very much from the policyholder's side, and I am not concerned here with aspects of valuation or solvency. These require further investigation.

Type
Research Article
Information
Journal of the Institute of Actuaries , Volume 114 , Issue 1 , June 1987 , pp. 21 - 90
Copyright
Copyright © Institute and Faculty of Actuaries 1987

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References

REFERENCES

Beenstock, M. & Brasse, V. (1986) Using Options to Price Maturity Guarantees. J.I.A., 113, 151.Google Scholar
Black, F. & Scholes, M. (1973) The Pricing of Options and Corporate Liabilities. Journal of Political Economy, 81, 637.CrossRefGoogle Scholar
Boyle, P.P. & Schwartz, E.S. (1977) Equilibrium Prices of Guarantees under Equity-linked Contracts. The Journal of Risk and Insurance, 44, 639.CrossRefGoogle Scholar
Brennan, M.J. & Schwartz, E.S. (1976) The Pricing of Equity-linked Life Insurance Policies with an Asset Value Guarantee. Journal of Financial Economics, 3, 195.CrossRefGoogle Scholar
Brennan, M.J. & Schwartz, E.S. (1979) Alternative Investment Strategies for the Issuers of Equity-linked Life Insurance with an Asset Value Guarantee. Journal of Business, 52, 63.CrossRefGoogle Scholar
Brenner, M. Editor, (1983) Option Pricing, Theory and Applications. Lexington Books, D.C. Heath and Company, Lexington, Mass.Google Scholar
Chamberlin, G. (1983) Trading in Options, Second Edition. Woodhead-Faulkner, Cambridge.Google Scholar
Collins, T.P. (1977) Brownian Motion. Unpublished note.Google Scholar
Collins, T.P. (1982) An Exploration of the Immunization Approach to Provision for Unit-linked Policies with Guarantees. J.I.A., 109, 241.Google Scholar
Cox, J.C. & Rubinstein, M. (1983) A Survey of Alternative Option-pricing Models. In Brenner (1983).Google Scholar
Fagan, J.C. (1977) Maturity Guarantees under Investment-linked Contracts. Presented to the Society of Actuaries in Ireland, 10 November 1977.Google Scholar
Jarrow, R.A. & Rudd, A. (1983) Option Pricing. Richard D. Irwin, Homewood, 111.Google Scholar
Malliaris, A.G. & Brock, W.A. (1982) Stochastic Methods in Economics and Finance. North-Holland, Amsterdam.Google Scholar
Maturity Guarantees Working Party (1980) Report. J.I.A., 107, 101.Google Scholar
Merton, R. (1973) Theory of Rational Option Pricing. Bell Journal of Economics and Management Science, Spring 1973, 141.Google Scholar
Muckart, R.D. & Smith, W.J. (1984) Investment Options and Traded Trusts. Presented to the Faculty of Actuaries Students' Society, 6 February 1984.Google Scholar
Wilkie, A.D. (1985) Steps Towards a Stochastic Investment Model for Actuarial Use. O.A.R.D., 36, Institute of Actuaries.Google Scholar
Wilkie, A.D. (1986a) A Stochastic Investment Model for Actuarial Use. T.F.A., 39, 341.Google Scholar
Wilkie, A.D. (1986b) Some Applications of Stochastic Investment Models. J.S.S., 29, 25.Google Scholar