A Case for Tail-Risk-Based Sharpe Ratios
James X. Xiong, Thomas M. Idzorek
Abstract
James X. Xiong, Thomas M. Idzorek
Abstract
Surprisingly to many investors, low volatility tends to be accompanied with an undesirable risk characteristic: lower or negative skewness. A stock or fund can rank well based on the standard Sharpe ratio but low on enhanced tail-risk-based Sharpe ratios that account for non-normal returns, and vice versa. The authors quantify these economically meaningful ranking differences and show that skewness dominates other variables in explaining the ranking variations for the Conditional Value-at-Risk (CVaR)-based Sharpe ratio. Both skewness and serial correlation play important roles in the ranking variations for the maximum drawdown-based Sharpe ratio. TOPICS:Analysis of individual factors/risk premia, VAR and use of alternative risk measures of trading risk
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Surprisingly to many investors, low volatility tends to be accompanied with an undesirable risk characteristic: lower or negative skewness. A stock or fund can rank well based on the standard Sharpe ratio but low on enhanced tail-risk-based Sharpe ratios that account for non-normal returns, and vice versa. The authors quantify these economically meaningful ranking differences and show that skewness dominates other variables in explaining the ranking variations for the Conditional Value-at-Risk (CVaR)-based Sharpe ratio. Both skewness and serial correlation play important roles in the ranking variations for the maximum drawdown-based Sharpe ratio. TOPICS:Analysis of individual factors/risk premia, VAR and use of alternative risk measures of trading risk
Key concepts: Sharpe ratio, Skewness, Econometrics, Economics, Volatility (finance), Ranking (information retrieval), Expected shortfall, Stock (firearms)