具有现实约束的均值-VaR投资组合绩效评价

考虑交易成本、借款约束、上下界约束和基数约束等实际约束条件，提出了均值-VaR投资组合优化模型；该投资组合优化模型非常复杂，难以获得真实前沿面的解析解，给投资组合理论的应用带来了很大的困难，因此，进一步提出了具有实际约束的均值-VaR投资组合DEA绩效评价模型，通过构建DEA模型的前沿面来逼近真实前沿面，从而对构建的投资组合绩效评价模型进行效率评价；最后，运用上海证券市场的股票周交易数据进行实证研究.研究结果表明:随着样本数据量的增大，DEA前沿面逐渐接近于真实前沿面.

Measuring the Efficiency of Mean-VaR Portfolio Selection with Real Constraints

A mean-VaR model with the transaction costs, borrowing constraints, threshold constraints and cardinality constraints is proposed. As it is very difficult to solve the proposed model, the practical use of the model is limited. So the mean-VaR portfolio DEA performance evaluation model with real constraints is proposed. By constructing the frontier of the DEA model to approximate the real frontier, the efficiency evaluation of the constructed portfolio performance evaluation model is carried out. Finally, the weekly stock trading data of Shanghai stock market is used for empirical research. The results show that as the sample size increases, the frontier of the DEA is closer to the real frontier.