The stock price of Heavy Metal (HM) changes only once a month: either it goes up by 20% or it falls by 16.7%. Its price now is $40. The interest rate is 12.7% per year, or about 1% per month. a. What is the value of a one-month call option with an exercise price of $40? b. What is the option delta? c. What is the option delta of the two-month call over the first one-month period?

Intermediate Financial Management (MindTap Course List)
13th Edition
ISBN:9781337395083
Author:Eugene F. Brigham, Phillip R. Daves
Publisher:Eugene F. Brigham, Phillip R. Daves
Chapter5: Financial Options
Section: Chapter Questions
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1. The stock price of Heavy Metal (HM) changes only once a month: either it goes up by 20% or it falls by 16.7%. Its price now is $40. The interest rate is 12.7% per year, or about 1% per month.

a. What is the value of a one-month call option with an exercise price of $40?

b. What is the option delta?

c. What is the option delta of the two-month call over the first one-month period?

d. Show how the payoffs of this call option can be replicated by buying HM’s stock andborrowing.

e. What is the value of a two-month call option with an exercise price of $40?

 

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