Optimal Investment and Consumption with Default Risk: HARA Utility

被引:7
|
作者
Bo L. [1 ]
Li X. [2 ]
Wang Y. [3 ]
Yang X. [2 ]
机构
[1] Department of Mathematics, Xidian University, Xi'an
[2] School of Management and Engineering, Nanjing University, Nanjing
[3] School of Business, Nankai University, Tianjin
基金
中国国家自然科学基金;
关键词
Defaultable market; HJB equation; Optimal control; Perpetual bond; Portfolio optimization;
D O I
10.1007/s10690-013-9167-2
中图分类号
学科分类号
摘要
In this paper, we consider a portfolio optimization problem in a defaultable market. The representative investor dynamically allocates his or her wealth among the following securities: a perpetual defaultable bond, a money market account and a default-free risky asset. The optimal investment and consumption policies that maximize the infinite horizon expected discounted HARA utility of the consumption are explicitly derived. Moreover, numerical illustrations are also presented. © 2013 Springer Science+Business Media New York.
引用
收藏
页码:261 / 281
页数:20
相关论文
共 50 条
  • [21] THE OPTIMAL REINSURANCE-INVESTMENT PROBLEM CONSIDERING THE JOINT INTERESTS OF AN INSURER AND A REINSURER UNDER HARA UTILITY
    张燕
    赵培标
    周华任
    [J]. Acta Mathematica Scientia, 2023, 43 (01) : 97 - 124
  • [22] The Optimal Reinsurance-Investment Problem Considering the Joint Interests of an Insurer and a Reinsurer under Hara Utility
    Yan Zhang
    Peibiao Zhao
    Huaren Zhou
    [J]. Acta Mathematica Scientia, 2023, 43 : 97 - 124
  • [23] The Optimal Reinsurance-Investment Problem Considering the Joint Interests of an Insurer and a Reinsurer under Hara Utility
    Zhang, Yan
    Zhao, Peibiao
    Zhou, Huaren
    [J]. ACTA MATHEMATICA SCIENTIA, 2023, 43 (01) : 97 - 124
  • [24] Optimal investment with counterparty risk: a default-density model approach
    Jiao, Ying
    Huyen Pham
    [J]. FINANCE AND STOCHASTICS, 2011, 15 (04) : 725 - 753
  • [25] Optimal investment with counterparty risk: a default-density model approach
    Ying Jiao
    Huyên Pham
    [J]. Finance and Stochastics, 2011, 15 : 725 - 753
  • [26] An optimal consumption and investment problem with quadratic utility and negative wealth constraints
    Kum-Hwan Roh
    Ji Yeoun Kim
    Yong Hyun Shin
    [J]. Journal of Inequalities and Applications, 2017
  • [27] Optimal Investment and Consumption for Multidimensional Spread Financial Markets with Logarithmic Utility
    Albosaily, Sahar
    Pergamenchtchikov, Serguei
    [J]. STATS, 2021, 4 (04): : 1012 - 1026
  • [28] An optimal consumption and investment problem with quadratic utility and negative wealth constraints
    Roh, Kum-Hwan
    Kim, Ji Yeoun
    Shin, Yong Hyun
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2017,
  • [29] Optimal investment and benefit payment strategies for TB pension plans with stochastic interest rate under the HARA utility
    Wang, Yijun
    Zhang, Huanying
    Liu, Zilan
    Huang, Ya
    [J]. INTERNATIONAL JOURNAL OF CONTROL, 2023,
  • [30] OPTIMAL REINSURANCE AND INVESTMENT STRATEGIES FOR AN INSURER AND A REINSURER UNDER HESTONS SV MODEL: HARA UTILITY AND LEGENDRE TRANSFORM
    Zhang, Yan
    Zhao, Peibiao
    Teng, Xinghu
    Mao, Lei
    [J]. JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION, 2021, 17 (04) : 2139 - 2159