3 Sigmas
to the Left

P(X ≤ μ − 3σ) = 0.13% Sharpe = (Rp − Rf) / σp Z = (X − μ) / σ f(x) = (1/σ√2π) e^(−x²/2σ²) VaRα = μ − zα · σ α = 0.001 E[R] = Σpi·Ri P(X ≤ μ − 3σ) = 0.13% Sharpe = (Rp − Rf) / σp Z = (X − μ) / σ f(x) = (1/σ√2π) e^(−x²/2σ²) VaRα = μ − zα · σ α = 0.001 E[R] = Σpi·Ri