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1. In a three period binomial tree being used to value a European option with one year until expiration, the highest spot price at t

1. In a three period binomial tree being used to value a European option with one year until expiration, the highest spot price at t = 1 year is $175. The volatility, , is 0.30. The annual dividend rate compounded continuously is 0.02. The spot price at time 0 is 100. Compute the annual risk free interest rate compounded continuously.

2. You are given the following: The stock of the Perdue Turkey Farms has historical volatility of 25%. The risk free interest rate compounded continuously is 8%. The annual dividend yield compounded continuously is 3%. The current spot price of the stock is $50.00.

    1. Using a three period binomial tree, compute the value of a one year European style put option with a strike price of $55.00. Show all work.
    1. Using a three period binomial tree, compute the value of a one year American style put option with a strike price of $55.00. Show all work.

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