The common stock of the C.A.L.L. Corporation has been trading in a narrow range around $105 per share for months, and you believe it is going to stay in that range for the next 3 months. The price of a 3-month put option with an exercise price of $105 is $12.86. a. If the risk-free interest rate is 5% per year, what must be the price of a 3-month call option on C.A.L.L. stock at an exercise price of $105 if it is at the money? (The stock pays no dividends.) (Do not round intermediate calculations. Round your answer to 2 decimal places.) Price of a 3-month call option

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter20: Financing With Derivatives
Section20.A: The Black-scholes Option Pricing Model
Problem 1P
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The common stock of the C.A.L.L. Corporation has been trading in a narrow range around $105 per share for months, and you believe
it is going to stay in that range for the next 3 months. The price of a 3-month put option with an exercise price of $105 is $12.86.
a. If the risk-free interest rate is 5% per year, what must be the price of a 3-month call option on C.A.L.L. stock at an exercise price of
$105 if it is at the money? (The stock pays no dividends.) (Do not round intermediate calculations. Round your answer to 2 decimal
places.)
Price of a 3-month call option
Transcribed Image Text:The common stock of the C.A.L.L. Corporation has been trading in a narrow range around $105 per share for months, and you believe it is going to stay in that range for the next 3 months. The price of a 3-month put option with an exercise price of $105 is $12.86. a. If the risk-free interest rate is 5% per year, what must be the price of a 3-month call option on C.A.L.L. stock at an exercise price of $105 if it is at the money? (The stock pays no dividends.) (Do not round intermediate calculations. Round your answer to 2 decimal places.) Price of a 3-month call option
b-2. What is the most money you can make on this position? (Do not round intermediate calculations. Round your answer to 2
decimal places.)
Amount
b-3. How far can the stock price move in either direction before you lose money? (Do not round intermediate calculations. Round
your answer to 2 decimal places.)
Stock price
c. How can you create a position involving a put, a call, and riskless lending that would have the same payoff structure as the stock at
expiration? What is the net cost of establishing that position now? (Enter the absolute value. Do not round intermediate calculations.
Round your answers to 2 decimal places. Leave no cells blank - be certain to enter "0" wherever required.)
Transcribed Image Text:b-2. What is the most money you can make on this position? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Amount b-3. How far can the stock price move in either direction before you lose money? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Stock price c. How can you create a position involving a put, a call, and riskless lending that would have the same payoff structure as the stock at expiration? What is the net cost of establishing that position now? (Enter the absolute value. Do not round intermediate calculations. Round your answers to 2 decimal places. Leave no cells blank - be certain to enter "0" wherever required.)
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the answer was partially incorrect, entered it in as positive and negative, see attached  

c. How can you create a position involving a put, a call, and riskless lending that would have the same payoff structure as the stock at
expiration? What is the net cost of establishing that position now? (Enter the absolute value. Do not round intermediate calculations.
Round your answers to 2 decimal places. Leave no cells blank - be certain to enter "0" wherever required.)
> Answer is complete but not entirely correct.
Position
Call (long)
Put (short)
Lending position
Total
Immediate CF
14.13
26.99 X
26.99 X
105.00
Transcribed Image Text:c. How can you create a position involving a put, a call, and riskless lending that would have the same payoff structure as the stock at expiration? What is the net cost of establishing that position now? (Enter the absolute value. Do not round intermediate calculations. Round your answers to 2 decimal places. Leave no cells blank - be certain to enter "0" wherever required.) > Answer is complete but not entirely correct. Position Call (long) Put (short) Lending position Total Immediate CF 14.13 26.99 X 26.99 X 105.00
c. How can you create a position involving a put, a call, and riskless lending that would have the same payoff structure as the stock at
expiration? What is the net cost of establishing that position now? (Enter the absolute value. Do not round intermediate calculations.
Round your answers to 2 decimal places. Leave no cells blank - be certain to enter "0" wherever required.)
X Answer is complete but not entirely correct.
Position
Call (long)
Put (short)
Lending position
Total
Immediate CF
14.13
(26.99) X
(26.99) X
105.00
Transcribed Image Text:c. How can you create a position involving a put, a call, and riskless lending that would have the same payoff structure as the stock at expiration? What is the net cost of establishing that position now? (Enter the absolute value. Do not round intermediate calculations. Round your answers to 2 decimal places. Leave no cells blank - be certain to enter "0" wherever required.) X Answer is complete but not entirely correct. Position Call (long) Put (short) Lending position Total Immediate CF 14.13 (26.99) X (26.99) X 105.00
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