Risk Metrics

Omega Ratio

Captures the entire return distribution, assessing the probability of winning against losing relative to a minimum acceptable return.

Formula

Omega = Probability Weighted Gains / Probability Weighted Losses

The Omega Ratio considers all data points in an asset's return distribution rather than assuming returns follow a normal (bell-curve) distribution. It divides the probability-weighted upside returns by the probability-weighted downside returns.

Because it accounts for higher moments (skewness and kurtosis), Omega is generally considered superior to Sharpe for assets with complex payoff structures like hedge funds, options, or highly asymmetric assets like cryptocurrencies.

An Omega Ratio of 1.0 means the probability-weighted gains exactly offset losses. A ratio > 1.0 is favorable, indicating upside potential outweighs downside risk relative to the chosen threshold (often zero).

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