Optimal investment with transaction costs under cumulative prospect theory in discrete time

We study optimal investment problems with transaction costs under Kahneman and Tversky's cumulative prospective theory (CPT). A CPT investor makes investment decisions in a single-period discrete time financial market consisting of one risk-free asset and one risky asset, in which trading the risky asset incurs proportional costs. The objective is to seek the optimal investment to maximize the prospect value of the investor's final wealth. We have obtained explicit optimal investment to this problem in two examples. An economic analysis is conducted to investigate the impact of the transaction costs and risk aversion on the optimal investment.     «

We study optimal investment problems with transaction costs under Kahneman and Tversky's cumulative prospective theory (CPT). A CPT investor makes investment decisions in a single-period discrete time financial market consisting of one risk-free asset and one risky asset, in which trading the risky asset incurs proportional costs. The objective is to seek the optimal investment to maximize the prospect value of the investor's final wealth. We have obtained explicit optimal investment to this p...     »