Diversification quotients based on VaR and ES
Abstract
The diversification quotient (DQ) is recently introduced for quantifying the degree of diversification of a stochastic portfolio model. It has an axiomatic foundation and can be defined through a parametric class of risk measures. Since the Value-at-Risk (VaR) and the Expected Shortfall (ES) are the most prominent risk measures widely used in both banking and insurance, we investigate DQ constructed from VaR and ES in this paper. In particular, for the popular models of elliptical and multivariate regular varying (MRV) distributions, explicit formulas are available. The portfolio optimization problems for the elliptical and MRV models are also studied. Our results further reveal favourable features of DQ, both theoretically and practically, compared to traditional diversification indices based on a single risk measure.
Cite
@article{arxiv.2301.03517,
title = {Diversification quotients based on VaR and ES},
author = {Xia Han and Liyuan Lin and Ruodu Wang},
journal= {arXiv preprint arXiv:2301.03517},
year = {2023}
}
Comments
arXiv admin note: substantial text overlap with arXiv:2206.13679