We will derive a two-state put option value in this problem. Data: S₀ = $130; X = $140; 1 + r = 1.10. The two possibilities for S_T are $170 and $95.

Required:

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 three shares of stock and five 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. (Do not round intermediate calculations and round your answer to 2 decimal places.)