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3. (20 points) Consider the binomial tree model. Suppose the stock price at time zero is S0, and the stock does not pay dividends. The risk free rate is r and the time step is Δ t. Consider an exotic financial derivative with present time 0 and the maturity at time T=N Δ t and the payoff at the malturity is (S1)^2 (S2)^2 ⋯ (SN)^2. What is the time 0 price of this financial derivative?
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