Title
Aumann-Serrano index of risk in portfolio optimization
Abstract
The paper is devoted to study the portfolio optimization problem for an investor who aims to minimize the exposure to equity markets measured by the Aumann-Serrano index of riskiness. The ARMA-GARCH model with normal variance-mean mixture innovations is employed to capture the stylized facts of stock returns. Using a two-step scheme, we convert the high-dimensional optimization problem into a two-dimensional one. We further prove that the dimension reduction technique preserves the convexity of the problem as long as the risk measure is convex and monotonic. In the empirical study, we observe that the optimal portfolio outperforms benchmarks based on a 10-year backtesting window covering the financial crisis.
Year
DOI
Venue
2021
10.1007/s00186-021-00753-x
MATHEMATICAL METHODS OF OPERATIONS RESEARCH
Keywords
DocType
Volume
Aumann-Serrano index of riskiness, Portfolio optimization, Normal variance-mean mixture, Convex risk measure, Average value-at-risk
Journal
94
Issue
ISSN
Citations 
2
1432-2994
0
PageRank 
References 
Authors
0.34
0
4
Name
Order
Citations
PageRank
Tiantian Li100.34
Young Shin Kim200.34
Qi Fan300.34
Fumin Zhu400.34