Question: Consider a stock that is certain to have a value of either $130 or $90 in one year, and each is equally likely to occur.

Consider a stock that is certain to have a value of either $130 or $90 in one year, and each is equally likely to occur. Suppose also that the one-year risk free rate is 2%.

(a) Suppose that the cost of capital for the stock is 10%. Compute the price of the stock S0.

(b) Compute the risk-neutral probability of an up movement to have S1 = $130.

(c) Compute the price of a call option struck at K=$100.

(d) Compute the of the call option.

(e) Suppose that the call sells for $8. What would you do?

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