hard · Quantitative Finance

Consider an exchange option (Margrabe option) to exchange asset S₂ for asset S₁ at time T. Given σ₁ = 30%, σ₂ = 25%, and correlation ρ = 0.40, calculate the 'spread volatility' hatσ used in the pricing formula.

  1. 39.05%
  2. 55.00%
  3. 27.50%
  4. 30.41%

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