Question

A put option that expires in six months with an exercise price of $45 sells for...

A put option that expires in six months with an exercise price of $45 sells for $4.80. The stock is currently priced at $41, and the risk-free rate is 3.3 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 answer to 2 decimal places, e.g., 32.16.)

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Answer #1

Using put-call parity and solving for the call price we get:

$41 + $4.80 = $45e–(.033)(.5) + C

C = $1.54

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