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  • 标题:Optimal Investment Strategy for Defined Contribution Pension Scheme under the Heston Volatility Model
  • 作者:Chidi U. Okonkwo ; Bright O. Osu ; Silas A. Ihedioha
  • 期刊名称:Journal of Mathematical Finance
  • 印刷版ISSN:2162-2434
  • 电子版ISSN:2162-2442
  • 出版年度:2018
  • 卷号:08
  • 期号:04
  • 页码:613-622
  • DOI:10.4236/jmf.2018.84039
  • 语种:English
  • 出版社:Scientific Research Publishing
  • 摘要:In this paper, the optimal investment strategy for a defined contribution (DC) pension scheme was modeled with the assumption that the fund is invested partly in riskless assets and partly in risky assets. The market has a constant interest rate, a stochastic volatility that follows the Heston model, the salary is assumed constant over the entire career of the Pension Plan Participant (PPP) and the contribution is a constant proportion of the salary. The CRRA utility function was utilized to obtain a Hamilton-Jacobi-Bellman (HJB) equation. The resulting HJB equation was solved using the Prandtl Asymptotic Matching Method following the works in the literature.
  • 关键词:Defined Contributory Pension Scheme;Stochastic Volatility;CRRA;Prandtl Asymptotic Matching;Optimal Investment Strategy;HJB
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