Suppose that there are two periods: T=0, and T=1. We consider stocks A and B. Neither of the
two stocks pay any dividend. In period 0, the price of stock A is S_a_0 = 99.5, the price of stock B is S _b_0 = 94. The one-period risk-free rate in period 0 is denoted by r_0. In T=1, there are two states: "up" and "down". State "up" occurs with probability 0.6; State "down" occurs with probability 0.4. The prices of the two stocks in T=11 is given by the following table. The one-period risk-free rate in T=1 r_1 is 5%.
___ up down
s_a 110 100
s_b 100 85
Let C(100) be the price of a European call option on stock A that expires in T=2 with the strike price 100.
Let P(100) be the price of European put option on stock A that expires in T=2 with the strike price 100.
(a) Solve for r_1
(b) Calculate C(100) − P(100)
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