Question: Given the representation: Can you determine the g(-) if the M T (X T ) is the payoff of an plain vanilla European call option

Given the representation:

Mp(X,) = M,(X.)- g(t, X,)dW,

Can you determine the g(-) if the MT(XT) is the payoff of an plain vanilla European call option at expiration?

That is, if MT(XT) is given by:

MT(XT) = max [XT?? K, 0],

Where 0

Mp(X,) = M,(X.)- g(t, X,)dW,

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