Optimal Portfolio Selection in a Jump-Diffusion Market with both Fixed and Proportional Transaction Costs
The optimal portfolio selection problem for a constant relative risk averse(CRRA)investor who faces fixed and proportional transaction costs and maximizes the total expected utility of consumption over a planning horizon is considered.We use a continuous-time model with one riskless and one risky asset,in which the price of the risky asset is governed by jump-diffusion process. This problem is formulated as a combined stochastic control and impulse control problem whose solution is obtained by using Quasi-Variational Inequlities(QVI).Some properities of the value function of this problem are also discussed.
portfolio selection transaction costs impulse control jump-diffusion model QVI
Guohe Deng
Postdoctoral Research Workstation of Mathematics,Hunan University,Changsha 410082,China;School of Mathematics,Guangxi Normal University,Guilin 541004,China
国际会议
2008 International Conference on System Management(2008年系统管理学术研讨会)(2008 CSM)
上海
英文
346-354
2008-05-30(万方平台首次上网日期,不代表论文的发表时间)