We will derive a two-state put option value in this problem. Data: S₀ = 210; X = 220; 1 + r = 1.1. The two possibilities for S_T are 250 and 130.

a. The range of S is 120 while that of P is 90 across the two states. What is the hedge ratio of the put? (Negative value should be indicated by a minus sign. Round your answer to 2 decimal places.)

Hedge ratio

b-1. Form a portfolio of 3 shares of stock and 4 puts. What is the (nonrandom) payoff to this portfolio? (Round your answer to 2 decimal places.)

Nonrandom payoff $

b-2. What is the present value of the portfolio? (Round your answer to 2 decimal places.)

Present value $

c. Given that the stock currently is selling at 210, calculate the put value. (Round your answer to 2 decimal places.)

Put value $