具有破产控制的对数效用最大化投资组合工程:一个非参数估计框架

Qing-hua Ma, Hai-xiang Yao, Shi-Yang Li
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引用次数: 1

摘要

在假设投资者具有对数效用函数的前提下,本文采用非参数估计方法和期望效用最大化(EUM)模型来研究具有破产控制的投资组合工程问题。首先,利用非参数估计得到了期望效用的非参数估计计算公式。然后,给出了EUM模型最优投资策略的序列二次规划算法。最后,给出了一个基于中国股票市场实际数据的数值组合工程实例。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Logarithm Utility Maximization Portfolio Engineering with Bankruptcy Control: a Nonparametric Estimation Framework

Under the assumption that investors have the logarithm utility function, this paper adopts the methodology of nonparametric estimation and the expected utility maximization (EUM) model to explore a portfolio engineering problem with bankruptcy control. First, we obtain the nonparametric estimated calculation formula for expected utility by using the nonparametric estimation. Then, sequential quadratic programming (SQP) algorithm for the optimal investment strategy of the EUM model is given. Finally, a numerical portfolio engineering example based on real data of Chinese stock market is presented.

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