We will derive a two-state put option value in this problem. Data: S0 = 170; X =

Question

We will derive a two-state put option value in this problem. Data: S0 = 170; X = 180; 1 + r = 1.1. The two possibilities for ST are 210 and 90. a. The range of S is 120 while that of P 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 180. (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 $=

Explanation / Answer

We will derive a two-state put option value in this problem. Data: S0 = 170; X =

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