We will derive a two-state put option value in this problem. Data: S₀ = 130; X = 140; 1 + r = 1.1. The two possibilities for S_T are 170 and 95. a. The range of S is 75 while that of P is 45 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.)

b. Form a portfolio of 3 shares of stock and 5 puts. What is the (nonrandom) payoff to this portfolio? (Round your answer to 2 decimal places.)

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

d. Given that the stock currently is selling at 130, calculate the put value. (Round your answer to 2 decimal places.)