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Sharpe ratio

Excess return over the risk-free rate per unit of total volatility.

The Sharpe ratio, introduced by William F. Sharpe in 1966 (originally as the 'reward-to-variability' ratio), measures how much extra return a strategy generated per unit of total volatility. It is the most cited risk-adjusted return statistic in finance.

Two annualization conventions: (a) compute Sharpe on daily returns and multiply by √252; (b) on hourly returns and multiply by √(24·365). The choice matters for crypto since markets trade continuously — using √252 on a 24/7 market understates volatility.

Sharpe penalizes upside volatility the same as downside, which is its main critique: strategies with large profitable jumps look worse than they should. The Sortino ratio fixes this by using downside deviation only.

Formule

Sharpe = (E[R_a] − R_f) / σ(R_a)
annualized Sharpe (daily) = Sharpe · √252

Exemple

Strategy returns 18% annually, risk-free rate 2%, annualized vol 12%. Sharpe = (18 − 2) / 12 = 1.33.

Comment Noon Barbari utilise Sharpe ratio

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Sharpe & drawdown calculator

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