The stock price of Heavy Metal (HM) changes only once a month: either it goes up by 26% or it falls by 19.3%. Its price now is $43. The interest rate is 0.5% per month. a. What is the value of a one-month call option with an exercise price of $43? b. What is the option delta? c. The payoffs of the call option can be replicated by buying shares of stock and borrowing. What amount should be invested in stock and what amount must be borrowed? d. What is the value of a two-month call option with an exercise price of $42? e. 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
Problem 4MC
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The stock price of Heavy Metal (HM) changes only once a month: either it goes up by 26% or it falls by 19.3%. Its price now is $43. The
interest rate is 0.5% per month.
a. What is the value of a one-month call option with an exercise price of $43?
b. What is the option delta?
c. The payoffs of the call option can be replicated by buying shares of stock and borrowing. What amount should be invested in stock
and what amount must be borrowed?
d. What is the value of a two-month call option with an exercise price of $42?
e. What is the option delta of the two-month call over the first one-month period?
Complete this question by entering your answers in the tabs below.
Req A and B
Req C
Req D and E
d. What is the value of a two-month call option with an exercise price of $42? (Do not round intermediate calculations. Round
your answer to 1 decimal place.)
e. What is the option delta of the two-month call over the first one-month period? (Do not round intermediate calculations.
Round your answer to 3 decimal places.)
Show less A
d. Option price
e. Delta
< Req C
Req D and E >
Transcribed Image Text:The stock price of Heavy Metal (HM) changes only once a month: either it goes up by 26% or it falls by 19.3%. Its price now is $43. The interest rate is 0.5% per month. a. What is the value of a one-month call option with an exercise price of $43? b. What is the option delta? c. The payoffs of the call option can be replicated by buying shares of stock and borrowing. What amount should be invested in stock and what amount must be borrowed? d. What is the value of a two-month call option with an exercise price of $42? e. What is the option delta of the two-month call over the first one-month period? Complete this question by entering your answers in the tabs below. Req A and B Req C Req D and E d. What is the value of a two-month call option with an exercise price of $42? (Do not round intermediate calculations. Round your answer to 1 decimal place.) e. What is the option delta of the two-month call over the first one-month period? (Do not round intermediate calculations. Round your answer to 3 decimal places.) Show less A d. Option price e. Delta < Req C Req D and E >
Expert Solution
Given
Particulars Amount    
Stock price 43 Increase % 26%
Interest rate 0.50% Decrease % 19.30%
Exercise price  43    
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