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An option V(S 1 ,S 2 ,t) depends on two uncorrelated assets and time. S 1 is a stock and follows a lognormal random walk

An option V(S1,S2,t) depends on two uncorrelated assets and time. S1 is a stock and follows a lognormal random walk with drift 1 and volatility 1. S2 is a government bond and follows dS2 = (2 - S)dt + 2S2dX. Derive the partial differential equation that would be the Black Scholes equivalent for this option.

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