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S. Brawne, A. M. Milevsky and T. S. Salisbury, “Asset Allocation and the Liquidity Premium for Illiquid Annuities,” The Journal of Risk and Insurance, Vol. 70, No. 3, 2003, pp. 509-526. doi:10.1111/1539-6975.t01-1-00062

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• TITLE: Variational Form of Classical Portfolio Strategy and Expected Wealth for a Defined Contributory

  AUTHORS: Charles I. Nkeki, Chukwuma R. Nwozo

  KEYWORDS: Variational Form; Classical Portfolio Strategy; Expected Wealth; Defined Contribution; Pension Scheme; Pension Plan Member; Inter-Temporal Hedging Terms; Stochastic Salary

  JOURNAL NAME: Journal of Mathematical Finance, Vol.2 No.1, February 28, 2012

  ABSTRACT: This paper examines the variational form of classical portfolio strategy and expected terminal wealth for a Pension Plan Member (PPM) in a Defined Contribution (DC) Pension scheme. The flows of contributions made by PPM are invested into a market that is characterized by a cash account and a stock. It was assumed that the growth rate of salary of PPM is a linear function of time. The present value of PPM’s future contribution process was obtained. The optimal portfolio processes with inter-temporal hedging terms that offset any shocks to the stochastic cash inflows were established. The expected value of PPM’s terminal wealth was obtained.