Incomplete market;
life insurance;
martingale method;
optimal investment and consumption;
MEAN-REVERTING RETURNS;
PORTFOLIO CHOICE;
D O I:
10.1080/03610926.2014.911907
中图分类号:
O21 [概率论与数理统计];
C8 [统计学];
学科分类号:
020208 ;
070103 ;
0714 ;
摘要:
In this article, we solve an optimal insurance-consumption-investment problem for a wage earner in an incomplete market, where the stock price has a mean-reverting drift. By using the martingale method, we analyze this problem and derive the optimal strategies. Explicit solutions are found for both power and logarithmic utilities.
机构:
Univ New S Wales, Australian Sch Business, Sch Risk & Actuarial Studies, Sydney, NSW, Australia
Univ New S Wales, Australian Sch Business, CEPAR, Sydney, NSW, AustraliaUniv New S Wales, Australian Sch Business, Sch Risk & Actuarial Studies, Sydney, NSW, Australia
Shen, Yang
Wei, Jiaqin
论文数: 0引用数: 0
h-index: 0
机构:
Macquarie Univ, Fac Business & Econ, Dept Appl Finance & Actuarial Studies, Sydney, NSW 2109, AustraliaUniv New S Wales, Australian Sch Business, Sch Risk & Actuarial Studies, Sydney, NSW, Australia
机构:
East China Normal Univ, Sch Stat, Key Lab Adv Theory & Applicat Stat & Data Sci MOE, 3663 North Zhongshan Rd, Shanghai 200062, Peoples R ChinaEast China Normal Univ, Sch Stat, Key Lab Adv Theory & Applicat Stat & Data Sci MOE, 3663 North Zhongshan Rd, Shanghai 200062, Peoples R China
Wei, Jiaqin
Cheng, Xiang
论文数: 0引用数: 0
h-index: 0
机构:
Univ Melbourne, Ctr Actuarial Studies, Dept Econ, Melbourne, Vic 3010, AustraliaEast China Normal Univ, Sch Stat, Key Lab Adv Theory & Applicat Stat & Data Sci MOE, 3663 North Zhongshan Rd, Shanghai 200062, Peoples R China
Cheng, Xiang
Jin, Zhuo
论文数: 0引用数: 0
h-index: 0
机构:
Univ Melbourne, Ctr Actuarial Studies, Dept Econ, Melbourne, Vic 3010, AustraliaEast China Normal Univ, Sch Stat, Key Lab Adv Theory & Applicat Stat & Data Sci MOE, 3663 North Zhongshan Rd, Shanghai 200062, Peoples R China
Jin, Zhuo
Wang, Hao
论文数: 0引用数: 0
h-index: 0
机构:
East China Normal Univ, Sch Stat, 3663 North Zhongshan Rd, Shanghai 200062, Peoples R ChinaEast China Normal Univ, Sch Stat, Key Lab Adv Theory & Applicat Stat & Data Sci MOE, 3663 North Zhongshan Rd, Shanghai 200062, Peoples R China
机构:
Department of Applied Finance and Actuarial Studies, Macquarie University, Sydney, NSW
Department of Applied Mathematics and Statistics, Whiting School of Engineering, The Johns Hopkins University, Baltimore, MDDepartment of Applied Finance and Actuarial Studies, Macquarie University, Sydney, NSW
机构:
Univ New S Wales, Australian Sch Business, Sch Risk & Actuarial Studies, Sydney, NSW, Australia
Univ New S Wales, Australian Sch Business, CEPAR, Sydney, NSW, AustraliaUniv New S Wales, Australian Sch Business, Sch Risk & Actuarial Studies, Sydney, NSW, Australia
Shen, Yang
Wei, Jiaqin
论文数: 0引用数: 0
h-index: 0
机构:
Macquarie Univ, Fac Business & Econ, Dept Appl Finance & Actuarial Studies, Sydney, NSW 2109, AustraliaUniv New S Wales, Australian Sch Business, Sch Risk & Actuarial Studies, Sydney, NSW, Australia
机构:
East China Normal Univ, Sch Stat, Key Lab Adv Theory & Applicat Stat & Data Sci MOE, 3663 North Zhongshan Rd, Shanghai 200062, Peoples R ChinaEast China Normal Univ, Sch Stat, Key Lab Adv Theory & Applicat Stat & Data Sci MOE, 3663 North Zhongshan Rd, Shanghai 200062, Peoples R China
Wei, Jiaqin
Cheng, Xiang
论文数: 0引用数: 0
h-index: 0
机构:
Univ Melbourne, Ctr Actuarial Studies, Dept Econ, Melbourne, Vic 3010, AustraliaEast China Normal Univ, Sch Stat, Key Lab Adv Theory & Applicat Stat & Data Sci MOE, 3663 North Zhongshan Rd, Shanghai 200062, Peoples R China
Cheng, Xiang
Jin, Zhuo
论文数: 0引用数: 0
h-index: 0
机构:
Univ Melbourne, Ctr Actuarial Studies, Dept Econ, Melbourne, Vic 3010, AustraliaEast China Normal Univ, Sch Stat, Key Lab Adv Theory & Applicat Stat & Data Sci MOE, 3663 North Zhongshan Rd, Shanghai 200062, Peoples R China
Jin, Zhuo
Wang, Hao
论文数: 0引用数: 0
h-index: 0
机构:
East China Normal Univ, Sch Stat, 3663 North Zhongshan Rd, Shanghai 200062, Peoples R ChinaEast China Normal Univ, Sch Stat, Key Lab Adv Theory & Applicat Stat & Data Sci MOE, 3663 North Zhongshan Rd, Shanghai 200062, Peoples R China
机构:
Department of Applied Finance and Actuarial Studies, Macquarie University, Sydney, NSW
Department of Applied Mathematics and Statistics, Whiting School of Engineering, The Johns Hopkins University, Baltimore, MDDepartment of Applied Finance and Actuarial Studies, Macquarie University, Sydney, NSW