Optimal dynamic asset allocation of pension fund in mortality and salary risks framework

Zongxia Liang and Ming Ma

Insurance: Mathematics and Economics, 2015, vol. 64, issue C, 151-161

Abstract: In this paper, we consider the optimal dynamic asset allocation of pension fund with mortality risk and salary risk. The managers of the pension fund try to find the optimal investment policy (optimal asset allocation) to maximize the expected utility of terminal wealth. The market is a combination of financial market and insurance market. The financial market consists of three assets: cashes with stochastic interest rate, stocks and rolling bonds, while the insurance market consists of mortality risk and salary risk. These two non-hedging risks cause incompleteness of the market. By martingale method and dynamic programming principle we first derive the approximate optimal investment policy to overcome the difficulty, then investigate the efficiency of the approximation. Finally, we solve an optimal assets liabilities management(ALM) problem with mortality risk and salary risk under CRRA utility, and reveal the influence of these two risks on the optimal investment policy by numerical illustration.

Keywords: IE13; IE12; IE43; IB81; IB52; IE53; Assets liabilities management (ALM); Optimal dynamic asset allocation; Mortality risk; Salary risk; Incomplete market; Stochastic dynamic programming; Martingale method (search for similar items in EconPapers)
JEL-codes: C61 G11 G22 G32 (search for similar items in EconPapers)
Date: 2015
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (7)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:insuma:v:64:y:2015:i:c:p:151-161

DOI: 10.1016/j.insmatheco.2015.05.008

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