A put option that expires in six months with an exercise price of $40 sells for
ID: 2742285 • Letter: A
Question
A put option that expires in six months with an exercise price of $40 sells for $4.75. The stock is currently priced at $36, and the risk-free rate is 4.5 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).)
A put option that expires in six months with an exercise price of $40 sells for $4.75. The stock is currently priced at $36, and the risk-free rate is 4.5 percent per year, compounded continuously.
Explanation / Answer
We know,
C = E * e-rt + Put Option -Stock Price
= 40 * e(-0.045) * (6/12) + 4.75 -36
= 40*0.97775 -31.25
= 39.11-31.25 = $ 7.86
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