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ID: 2742248 • Letter: P

Question

Please help me solve and walk me through each step so that I can learn how to do on my own. Thank you!

Problem 17-4 Put-Call Parity

A put option that expires in six months with an exercise price of $60 sells for $4.95. The stock is currently priced at $56, and the risk-free rate is 3.6 percent per year, compounded continuously. What is the price of a call option with the same exercise price? (Do not round intermediate calculations and round your final answer to 2 decimal places (e.g., 32.16).)

Call price $

Explanation / Answer

P =Strike Price * ert+Call Option -Stock Price

= $ 60 * e(0.036)*6/12+$ 4.95 - $ 56

= $ 60*0.9822 -$ 51.05

= $ 58.93 -$ 51.05 = $ 7.88