Optimal dynamic portfolio selection with earnings-at-risk
type: Item
instance of: scholarly article
title: Optimal dynamic portfolio selection with earnings-at-risk
zbMATH Open document ID: 1148.91019
author: Hailiang Yang
author: Zhongfei Li
author: Xiaotie Deng
published in: Journal of Optimization Theory and Applications
publication date: 2008-09-23T00:00:00Z
full work available at URL: http://hdl.handle.net/10722/54353
review text: The paper deals with a continuous-time portfolio selection problem on a Black-Scholes type financial market setting. Intead of the variance in the mean-variance analysis, a new measure of risk is considered here. It is called earnings-at-risk, and measures risk relative to mean terminal wealth. EaR depends explicitly on the adopted investment strategy \(\pi\) and provides a tradeoff between investing in the portfolio with position \(\pi\) and its expected shortfall as a result of adopting such investment strategy. The authors obtained closed-form expressions for the best constantly-rebalanced portfolio investment strategy and the efficient frontier of the mean-EaR problem. The mean-EaR analysis is compared to the classical mean-variance analysis and to the mean-capital-at-risk analysis. For the mean-variance efficient frontier, the variance is always a convex function of the expected terminal wealth, thus the marginal risk is increasing, while the marginal risk measured by EaR can be decreasing at least on an infinite part of the mean-EaR frontier. In a numerical example it is illustrated an increasing and concave mean-EaR efficient frontier.
reviewed by: Iulian Stoleriu
Mathematics Subject Classification ID: 91G10
Mathematics Subject Classification ID: 93E20
Mathematics Subject Classification ID: 60H10
Mathematics Subject Classification ID: 60H30
zbMATH DE Number: 5346081
zbMATH Keywords: dynamic portfolio optimization
zbMATH Keywords: earnings-at-risk
zbMATH Keywords: constantly-rebalanced portfolios
zbMATH Keywords: Black-Scholes financial market
MaRDI profile type: Publication
OpenAlex ID: W2018081595
cites work: Optimum consumption and portfolio rules in a continuous-time model
cites work: Optimal dynamic portfolio selection: multiperiod mean-variance formulation
cites work: Continuous-time mean-variance portfolio selection: a stochastic LQ framework
cites work: Coherent measures of risk
cites work: Optimal portfolios with bounded capital at risk.
cites work: On‐Line Portfolio Selection Using Multiplicative Updates
cites work: Q4130130
cites work: Safety First and the Holding of Assets
cites work: Statistical analysis of financial networks
DOI: 10.1007/S10957-007-9184-2
description: scientific article; zbMATH DE number 5346081