(b) Consider the following loglinear Cagan money demand function: m₁ - St=-n[Et$t+1-St] where m₁ = natural log of money stock at date t and st = natural log of the spot exchange rate (home currency/foreign currency), and the money demand semi elasticity, n>0. Let the money supply follow a process: m₁ = &t − 0₁&t-1 - 02&t-2 where 0< 0₁ <1, 0< 0₂<1 and &t is a white noise. Derive the rational expectation solution for St. What kind of data generating process does the exchange rate follow? How does this differ from a random walk and why?
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