We will derive a two-state call option value in this problem. Data: S₀ = 260; X = 270; 1 + r = 1.1. The two possibilities for S_T are 300 and 180.

a. The range of S is 120 while that of C is 30 across the two states. What is the hedge ratio of the call? (Round your answer to 2 decimal places.)

Hedge ratio

b. Calculate the value of a call option on the stock with an exercise price of 270. (Do not use continuous compounding to calculate the present value of X in this example, because the interest rate is quoted as an effective per-period rate.) (Do not round intermediate calculations. Round your answer to 2 decimal places.)

Call value $