Journal article

Stochastic Analysis on Optimal Portfolio Selection for DC Pension Plan with Stochastic Interest and Inflation Rate


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Author list: Kenneth Tiro, Othusitse Basimanebotlhe, Elias R. Offen

Publisher: Scientific Research

Publication year: 2021

Volume number: 11

Start page: 579

End page: 596

Number of pages: 18

ISSN: 2162-2434

eISSN: 2162-2442



In this paper, we study optimal investment, consumption and portfolio choice in a framework where the pension planner member (PPM) embarks on an investment policy to cover up for some certain life targets. The aim of the pension plan manager is to maximize the expectation of total wealth at the time of retirement. The investment return process comprises of risk free asset and two risky assets, and the PPM benefit lies in a complete market that is constrained by the inflation rate. Explicit solutions for constant absolute risk aversion utility functions are obtained and optimal strategies are derived by applying by dynamic programming on the Hamilton-Jacobi-Bellman (HJB) equations. Our numerical results show various effects of some economic pa rameters on the optimal strategies. The inflation price market risk governs the amount invested in both stock and bond, at the same time varying the premium ratio (η), causes effects on the investment returns. We also investi gated the effects of the correlation coefficient (ρ) when set high on consump tion rate and income rate. Finally a sensitivity analysis is graphically pre sented.


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Last updated on 2025-26-03 at 15:52