The common stock of the C. A.L. L. Corporation has been trading in a narrow range around $95 per share for months, and you believe it is going to stay in that range for the next 3 months. The price of a 3-month put option with an exercise price of $95 is $6.00. a. If the risk-free interest rate is 9% per year, what must be the price of a 3-month call option on C. A.L. L. stock at an exercise price of $95 if it is at the money? (The stock pays no dividends.) (Do not round intermediate calculations. Round your answer to 2 decimal places.).3

$ 8.02

Explanation:

Solution

Given that:

The trading narrow range of the CALL corporation = $95

The range stay = 3 months

The price of a 3 month put option with a price exercise = $6.00

Risk free interest rate = 9%

Now

Recall the call put parity equation:

C = P + S - K x (1 + r)-T

= 6 + 95 - 95 x (1 + 9%)-3/12 = $ 8.02

Therefore the price he price of a 3-month call option on C.A.L.L. stock at an exercise price of $95 if it is at the money is $ 8.02

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