Optimal Pension Fund Management with Foreign Investment in a Stochastic Environment

To ensure the success of a pension plan under a self-contained defined contribution (DC) retirement plan, the inclusion of foreign assets in a local pension portfolio could be beneficial for risk diversification and the efficient improvement of a fund’s investment performance during its accumulation...

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Main Authors: Mei-Ling Tang, Ting-Pin Wu, Ming-Chin Hung
Format: Article
Language:English
Published: MDPI AG 2022-07-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/10/14/2468
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author Mei-Ling Tang
Ting-Pin Wu
Ming-Chin Hung
author_facet Mei-Ling Tang
Ting-Pin Wu
Ming-Chin Hung
author_sort Mei-Ling Tang
collection DOAJ
description To ensure the success of a pension plan under a self-contained defined contribution (DC) retirement plan, the inclusion of foreign assets in a local pension portfolio could be beneficial for risk diversification and the efficient improvement of a fund’s investment performance during its accumulation phase. This study focuses on developing international asset allocation criteria for a DC pension plan; accordingly, we consider risk exposure relative to stochastic interest rates and ex- change rates with minimum guarantees. An arbitrage-free framework, namely, the cross-currency Heath–Jarrow–Morton interest rate model, is introduced in dynamic optimization programming for the DC pension fund. The proposed solution based on the generalized stochastic framework provides tractable and appropriate criteria for the dynamic allocation of a DC pension fund. The constituents of the optimal solution can reflect changes in investment lifecycles and shifts in risk preferences during the accumulation phase of a DC pension plan.
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spelling doaj.art-cd28e6c5486a422aaffce94591adaf9a2023-12-01T22:24:47ZengMDPI AGMathematics2227-73902022-07-011014246810.3390/math10142468Optimal Pension Fund Management with Foreign Investment in a Stochastic EnvironmentMei-Ling Tang0Ting-Pin Wu1Ming-Chin Hung2Department of Financial Engineering and Actuarial Mathematics, Soochow University, Taipei 100006, TaiwanDepartment of Finance, National Central University, Taoyuan 320317, TaiwanDepartment of Financial Engineering and Actuarial Mathematics, Soochow University, Taipei 100006, TaiwanTo ensure the success of a pension plan under a self-contained defined contribution (DC) retirement plan, the inclusion of foreign assets in a local pension portfolio could be beneficial for risk diversification and the efficient improvement of a fund’s investment performance during its accumulation phase. This study focuses on developing international asset allocation criteria for a DC pension plan; accordingly, we consider risk exposure relative to stochastic interest rates and ex- change rates with minimum guarantees. An arbitrage-free framework, namely, the cross-currency Heath–Jarrow–Morton interest rate model, is introduced in dynamic optimization programming for the DC pension fund. The proposed solution based on the generalized stochastic framework provides tractable and appropriate criteria for the dynamic allocation of a DC pension fund. The constituents of the optimal solution can reflect changes in investment lifecycles and shifts in risk preferences during the accumulation phase of a DC pension plan.https://www.mdpi.com/2227-7390/10/14/2468defined contribution pension planinterest rate riskexchange rate riskforeign investmentdynamic optimization
spellingShingle Mei-Ling Tang
Ting-Pin Wu
Ming-Chin Hung
Optimal Pension Fund Management with Foreign Investment in a Stochastic Environment
Mathematics
defined contribution pension plan
interest rate risk
exchange rate risk
foreign investment
dynamic optimization
title Optimal Pension Fund Management with Foreign Investment in a Stochastic Environment
title_full Optimal Pension Fund Management with Foreign Investment in a Stochastic Environment
title_fullStr Optimal Pension Fund Management with Foreign Investment in a Stochastic Environment
title_full_unstemmed Optimal Pension Fund Management with Foreign Investment in a Stochastic Environment
title_short Optimal Pension Fund Management with Foreign Investment in a Stochastic Environment
title_sort optimal pension fund management with foreign investment in a stochastic environment
topic defined contribution pension plan
interest rate risk
exchange rate risk
foreign investment
dynamic optimization
url https://www.mdpi.com/2227-7390/10/14/2468
work_keys_str_mv AT meilingtang optimalpensionfundmanagementwithforeigninvestmentinastochasticenvironment
AT tingpinwu optimalpensionfundmanagementwithforeigninvestmentinastochasticenvironment
AT mingchinhung optimalpensionfundmanagementwithforeigninvestmentinastochasticenvironment