Black assumptions for the spread option.

The stochastic processes F1,t and F1,t  follow the following stochastic differential equations (SDE)

dF1,t = F1,t s1 dW1,t ,

dF2,t = F2,t ( r s2 dW1,t + (1-r2)1/2 s2 dW2,t ),

where the W1,t  and W2,t are independent standard Brownian motions, s1 and s2 are volatilities (positive real parameters) and r is correlation (real number between zero and one).

 

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