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基于CVaR投资组合优化问题的光滑化方法

张清叶 高岩

运筹与管理2017,Vol.26Issue(4):158-164,7.
运筹与管理2017,Vol.26Issue(4):158-164,7.DOI:10.12005/orms.2017.0096

基于CVaR投资组合优化问题的光滑化方法

A Smoothing Method for Portfolio Optimization Based on CVaR

张清叶 1高岩1

作者信息

  • 1. 上海理工大学管理学院,上海200093
  • 折叠

摘要

Abstract

Portfolio investment on the given risky assets is considered in this paper.At first,we develop a CVaR model for the single phase portfolio optimization problem,using CVaR as the risk measure.Noticing that both multi-integral and plus function are contained in the objective function,we convert multi-integral calculation into summation operator by producing a scenario matrix.Then,we propose a new consistent smooth approximating function of the plus function and give a smoothing method for solving CVaR model at the same time.Finally,we give two empirical studies which illustrate the superiority of our algorithm.

关键词

投资组合优化/条件风险价值/光滑化方法

Key words

portfolio optimization/conditional value-at-risk(CVaR)/smoothing method

分类

管理科学

引用本文复制引用

张清叶,高岩..基于CVaR投资组合优化问题的光滑化方法[J].运筹与管理,2017,26(4):158-164,7.

基金项目

国家自然科学基金项目(11171221) (11171221)

上海市一流学科项目(XTKX2012) (XTKX2012)

上海市研究生创新基金项目(JWXCXSL1401) (JWXCXSL1401)

运筹与管理

OA北大核心CHSSCDCSCDCSSCICSTPCD

1007-3221

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