firms Unlike the other Greeks, implied volatility was unknown. 6 t Implied volatility Realized volatility t + 1 • It was calculated by reverse engineer process from the option price at time t. • Implied
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]St0 HC = Ct1−[Delta]St1 DeltaBS = f ( St0, K, T, r, σ ) Historical statistic : Standard deviation Implied statistic : Min ∑ (Cmarket – C theoretical) 2 DeltaWM = f ( St0, K, T, r, μ, σ* ) σ* = f (r, μ