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1. Consider the transformation of Brownian motion Wt to Zt : Zt=f(Wt,t)=eWtktforsomeconstantkRZ0=0. Compute dZt. (30 points) 1. Consider the transformation of Brownian motion Wt to

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1. Consider the transformation of Brownian motion Wt to Zt : Zt=f(Wt,t)=eWtktforsomeconstantkRZ0=0. Compute dZt. (30 points)

1. Consider the transformation of Brownian motion Wt to Zt: Wt kt zt = f(Wt, t) for some constant k e (6) (30 points) Compute dZt.

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