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(c) Draw the tree indicating the price of an American call option at each node. Indicate the nodes where it is optimal to exercise the

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(c) Draw the tree indicating the price of an American call option at each node. Indicate the nodes where it is optimal to exercise the option early.

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1. Consider an at-the-money call option with So = 40 which expires in 3 months. Suppose the underlying stock has an annualized volatility of o = 0.30, and that the risk-free rate is r 0.10. (a) Suppose the call is a European option which we would like to price using the binomial pricing model with 3 subperiods. Calculate u, d, p, and the time-step T using the Cox, Ross, and Rubinstein (1979) restriction - this is simply the restriction that was mentioned in class. (b) Draw the tree indicating the stock price and (European) option value at each node. Clearly indicate the current price of the option. 1. Consider an at-the-money call option with So = 40 which expires in 3 months. Suppose the underlying stock has an annualized volatility of o = 0.30, and that the risk-free rate is r 0.10. (a) Suppose the call is a European option which we would like to price using the binomial pricing model with 3 subperiods. Calculate u, d, p, and the time-step T using the Cox, Ross, and Rubinstein (1979) restriction - this is simply the restriction that was mentioned in class. (b) Draw the tree indicating the stock price and (European) option value at each node. Clearly indicate the current price of the option

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