Traditional portfolio theory assumes that the return rate of portfolio follows normality. However, this assumption is not true when derivative assets are incorporated. In this paper a portfolio selection model is deve...Traditional portfolio theory assumes that the return rate of portfolio follows normality. However, this assumption is not true when derivative assets are incorporated. In this paper a portfolio selection model is developed based on utility function which can capture asymmetries in random variable distributions. Other realistic conditions are also considered, such as liabilities and integer decision variables. Since the resulting model is a complex mixed integer nonlinear programming problem, simulated annealing algorithm is applied for its solution. A numerical example is given and sensitivity analysis is conducted for the model.展开更多
This paper analyzes the portfolio with inflation and transaction cost by broadening mean-variance model assumption. Based on the comparison between efficient frontier with and without transaction cost and inflation, t...This paper analyzes the portfolio with inflation and transaction cost by broadening mean-variance model assumption. Based on the comparison between efficient frontier with and without transaction cost and inflation, the conclusion is drawn that the new efficient frontier is revolving and the new investment strategy changes. Furthermore, we provide a numerical example based on real world data.展开更多
文摘Traditional portfolio theory assumes that the return rate of portfolio follows normality. However, this assumption is not true when derivative assets are incorporated. In this paper a portfolio selection model is developed based on utility function which can capture asymmetries in random variable distributions. Other realistic conditions are also considered, such as liabilities and integer decision variables. Since the resulting model is a complex mixed integer nonlinear programming problem, simulated annealing algorithm is applied for its solution. A numerical example is given and sensitivity analysis is conducted for the model.
文摘This paper analyzes the portfolio with inflation and transaction cost by broadening mean-variance model assumption. Based on the comparison between efficient frontier with and without transaction cost and inflation, the conclusion is drawn that the new efficient frontier is revolving and the new investment strategy changes. Furthermore, we provide a numerical example based on real world data.