Hedge fund strategies performance: The edge of Omega ratio over conventional metrics
研究提出基于五阶矩展开的Omega比率解析表达式，在708只美国对冲基金样本中比较Omega与夏普比率，发现五阶矩Gram-Charlier近似Omega对表现好的基金更准确，Edgeworth近似对表现差的基金更优。
We propose analytical expressions for the Omega performance measure based on Gram–Charlier and Edgeworth expansions, incorporating the first five moments of the return distribution. On a sample of 708 U.S.-registered hedge funds, we assess managers’ ability to generate performance across different investment strategies using the analytically derived Omega measures, the empirical Omega, and its main competitor, the Sharpe ratio. Although these metrics yield similar rankings in our sample, we show, within a Monte Carlo simulation framework, that the five-moment Edgeworth approximated Omega is preferable for evaluating under-performing hedge funds, while the five-moment Gram–Charlier approximated Omega provides superior accuracy for well-performing hedge funds. • We derive analytical Omega expressions using five-moment expansions. • We assess hedge fund managers’ ability to generate performance across strategies. • We use Monte Carlo simulation to evaluate approximation accuracy. • Five-moment Gram–Charlier approximated Omega offers superior accuracy for well-performing funds.