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Portfolio selection and matching: a synthesis

Published online by Cambridge University Press:  20 April 2012

M. Sherris
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Abstract

This paper considers a general framework for the selection of assets to meet the liabilities of a life insurance or pension fund. This general framework contains the mean-variance efficient portfolios of modern portfolio theory as a special case. The paper also demonstrates how the portfolio selection and matching approach of Wise (1984a, 1984b, 1987a, 1987b) and Wilkie (1985) fits into this general framework. The matching portfolio is derived as a special case, and is also shown to have implications for determining the central value of the liabilities.

Keywords

InvestmentMatchingModern Portfolio TheoryRisk
Type
Research Article
Information
Journal of the Institute of Actuaries , Volume 119 , Issue 1 , 1992 , pp. 87 - 105
Copyright
Copyright © Institute and Faculty of Actuaries 1992

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References

REFERENCES

Breeden, D. T. (1987). Optimal Dynamic Trading Strategics: A Simple Approach, Working Paper 87–107, Fuqua School of Business, Duke University, North Carolina.Google Scholar
Clarkson, R. S. (1989). The Measurement of Investment Risk. J.I.A., 116, 127–178.Google Scholar
Clarkson, R. S. (1990). The Assessment of Financial Risk. Proceedings of the 1st AFIR International Colloquium, 2, 171–194.Google Scholar
Jarrow, R. A. (1988). Finance Theory. Prentice-Hall International.Google Scholar
Lambert, P. J. (1985). Advanced Mathematics for Economists: Static and Dynamic Optimization. Basil Blackwell.Google Scholar
McCabe, G. M. & Witt, R. C. (1980). Insurance Pricing and Regulation Under Uncertainty: A Chance-Constrained Approach. Journal of Risk and Insurance, 607–635.CrossRefGoogle Scholar
Milgrom, P. R. (1986). Measuring the Interest Rate Risk. Transactions of The Society of Actuaries, XXXVII, 241–257, and Discussion, 259–302.Google Scholar
Mossin, J. (1968). Optimal Multipcriod Portfolio Policies. Journal of Business, 41, 215–229.CrossRefGoogle Scholar
Pratt, J. W. (1964). Risk Aversion in the Small and in the Large. Econometrica, 32, 122–136.CrossRefGoogle Scholar
Redington, F. M. (1952). Review of the Principles of Life Office Valuations, J.I.A. 78, 286–340.Google Scholar
Richard, S. F. (1975). Optimal Consumption, Portfolio and Life Insurance Rules for an Uncertain Lived Individual in a Continuous Time Model. Journal of Financial Economics, 2, 187–203.CrossRefGoogle Scholar
Samuelson, P. A. (1969). Lifetime Portfolio Selection by Dynamic Stochastic Programming. The Review of Economics and Statistics, 51, 239–246.CrossRefGoogle Scholar
Sharpe, W. F. & Tint, L. G. (1990). Liabilities—A New Approach. The Journal of Portfolio Management, Winter, 5–10.CrossRefGoogle Scholar
Sherris, M. (1990). Optimal Multiperiod Asset Allocation Strategics for Life Insurance and Pension Funds. Paper to be submitted to the 1992 International Congress of Actuaries.Google Scholar
Taylor, G. C. (1990). The Rate of Return for Discounting Non-Life Insurance Loss Reserves. Proceedings of the 1st AFIR International Colloquium, 4, 295–348.Google Scholar
Wilkie, A. D. (1985). Portfolio Selection in the Presence of Fixed Liabilities: A Comment on ‘The Matching of Assets to Liabilities’, J.I.A., 112, 229–277.Google Scholar
Wish, A. J. (1984a). A Theoretical Analysis of the Matching of Assets to Liabilities. J.I.A., 111, 375–402.Google Scholar
Wise, A. J. (1984b). The Matching of Assets to Liabilities. J.I.A., 111, 445–485.Google Scholar
Wise, A. J. (1987a). Matching and Portfolio Selection: Part 1, J.I.A., 114, 113–133.Google Scholar
Wise, A. J. (1987b). Matching and Portfolio Selection: Part 2, J.I.A., 114, 551–568.Google Scholar
Yang, C. W. (1988). Stochastic Asset Allocation Models for Life Insurance Liabilities, Unpublished Bachelor of Economics (Honours) Dissertation, Macquarie University, Sydney, Australia.Google Scholar