马科维茨均值方差准则的应用

原先对马科维茨均值方差准则的预估,已被证明是严重背离了其最优投资组合的理论。近年人们对于这个问题不断尝试了一些新的方法。本文针对最优投资组合的问题,阐释了新修正过的bootstrap方法预估和其资产分配形式,并证明这些修正过的bootstrap方法预估,是与其理论相一致的。本文所做的模拟测试显示,我们提出的方法可以涵盖到投资组合分析问题的本质;该模拟测试也进一步证实了我们的理论。

Application of Markowitz Portfolio Mean-Variance Principle

The traditional estimated return for the Markowitz mean-variance optimation has been demonstrated to seriously depart from its theoretic optimal return. For this problem people provided some approaches in recent years. Here, we develop new bootstrap-corrected estimations for the optimal return and its asset allocation and prove that these bootstrap-corrected estimates are proportionally consistent with their theoretic counterparts. Our theoretical results are further confirmed by our simulations, which show that the essence of the portfolio analysis problem could be adequately captured by our proposed approach.