medium · Quantitative Finance derivatives

A trader is pricing an exchange option to receive Asset 1 (S_1 = 60, σ_1 = 0.25) in exchange for Asset 2 (S_2 = 55, σ_2 = 0.20) in T = 1 year, with a correlation ρ = 0.50.

Using the Margrabe formula, what is the 'spread volatility' hatσ required for the calculation?

  1. 0.3202
  2. 0.4500
  3. 0.2291
  4. 0.1500

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