Relationship between risk and risk - aversion utility Based on Multi-Period prospect theory

The purpose of this study is to investigate the effect of loss-aversion behavior on multi-period investment decisions. For this purpose, two models of portfolio optimization have been designed. Instead of a single-period portfolio model, a three-period model has been used. In order to bring the optimization models closer to the real world, in addition to the CVaR as one of the main constraints, the transaction cost and the lower bound and upper bound investment in each asset are also considered. two models of loss aversion and mean-CVaR optimization were solved using PSO algorithm. Also, some important criteria such as initial loss aversion coefficient and reference point are used to test the robustness of model. The results based on the optimal wealth and Sharp ratio showed that loss-averse investors tend to concentrate most of their wealth and have a better performance than rational investors. The impact of CVaR on investment performance was identified. When the market is falling, investors with higher risk aversion avoid extreme losses and obtain more gains.