Portfolio Selection: An Extreme Value Approach
Authors:
Preprint
- 1 January 2011
- preprint
- Published by Elsevier in SSRN Electronic Journal
Abstract
We show theoretically that lower tail dependence (chi), a measure of the probability that a portfolio will suffer large losses given that the market does, contains important information for risk-averse investors. We then estimate chi for a sample of DJIA stocks and show that it differs systematically from other risk measures including variance, semi-variance, skewness, kurtosis, beta, and coskewness. In out-of-sample tests, portfolios constructed to have low values of chi outperform the market index, the mean return of the stocks in our sample, and portfolios with high values of chi. Our results indicate that chi is conceptually important for risk-averse investors, differs substantially from other risk measures, and provides useful information for portfolio selection.Keywords
This publication has 57 references indexed in Scilit:
- International diversification: An extreme value approachJournal of Banking & Finance, 2012
- The Market Premium for Dynamic Tail RiskSSRN Electronic Journal, 2011
- Benchmarks as Limits to Arbitrage: Understanding the Low-Volatility AnomalyCFA Magazine, 2011
- High idiosyncratic volatility and low returns: International and further U.S. evidenceJournal of Financial Economics, 2009
- Rare Disasters and Asset Markets in the Twentieth Century*The Quarterly Journal of Economics, 2006
- Downside RiskThe Review of Financial Studies, 2006
- The Cross‐Section of Volatility and Expected ReturnsThe Journal of Finance, 2006
- Statistics of Extremes2004
- Estimation Risk and Simple Rules for Optimal Portfolio SelectionThe Journal of Finance, 1983
- Portfolio choice and equilibrium in capital markets with safety-first investorsJournal of Financial Economics, 1977