Optimal Investment Strategies for DC Pension with Stochastic Salary under the Affine Interest Rate Model

We study the optimal investment strategies of DC pension, with the stochastic interest rate (including the CIR model and the Vasicek model) and stochastic salary. In our model, the plan member is allowed to invest in a risk-free asset, a zero-coupon bond, and a single risky asset. By applying the Ha...

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Main Authors: Chubing Zhang, Ximing Rong
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2013/297875
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author Chubing Zhang
Ximing Rong
author_facet Chubing Zhang
Ximing Rong
author_sort Chubing Zhang
collection DOAJ
description We study the optimal investment strategies of DC pension, with the stochastic interest rate (including the CIR model and the Vasicek model) and stochastic salary. In our model, the plan member is allowed to invest in a risk-free asset, a zero-coupon bond, and a single risky asset. By applying the Hamilton-Jacobi-Bellman equation, Legendre transform, and dual theory, we find the explicit solutions for the CRRA and CARA utility functions, respectively.
format Article
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institution Kabale University
issn 1026-0226
1607-887X
language English
publishDate 2013-01-01
publisher Wiley
record_format Article
series Discrete Dynamics in Nature and Society
spelling doaj-art-2d9875deb21245d78173d72b1ed0ffa72025-02-03T07:25:05ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2013-01-01201310.1155/2013/297875297875Optimal Investment Strategies for DC Pension with Stochastic Salary under the Affine Interest Rate ModelChubing Zhang0Ximing Rong1College of Business, Tianjin University of Finance and Economics, Tianjin 300222, ChinaCollege of Science, Tianjin University, Tianjin 300072, ChinaWe study the optimal investment strategies of DC pension, with the stochastic interest rate (including the CIR model and the Vasicek model) and stochastic salary. In our model, the plan member is allowed to invest in a risk-free asset, a zero-coupon bond, and a single risky asset. By applying the Hamilton-Jacobi-Bellman equation, Legendre transform, and dual theory, we find the explicit solutions for the CRRA and CARA utility functions, respectively.http://dx.doi.org/10.1155/2013/297875
spellingShingle Chubing Zhang
Ximing Rong
Optimal Investment Strategies for DC Pension with Stochastic Salary under the Affine Interest Rate Model
Discrete Dynamics in Nature and Society
title Optimal Investment Strategies for DC Pension with Stochastic Salary under the Affine Interest Rate Model
title_full Optimal Investment Strategies for DC Pension with Stochastic Salary under the Affine Interest Rate Model
title_fullStr Optimal Investment Strategies for DC Pension with Stochastic Salary under the Affine Interest Rate Model
title_full_unstemmed Optimal Investment Strategies for DC Pension with Stochastic Salary under the Affine Interest Rate Model
title_short Optimal Investment Strategies for DC Pension with Stochastic Salary under the Affine Interest Rate Model
title_sort optimal investment strategies for dc pension with stochastic salary under the affine interest rate model
url http://dx.doi.org/10.1155/2013/297875
work_keys_str_mv AT chubingzhang optimalinvestmentstrategiesfordcpensionwithstochasticsalaryundertheaffineinterestratemodel
AT ximingrong optimalinvestmentstrategiesfordcpensionwithstochasticsalaryundertheaffineinterestratemodel