Intermediate Financial Management 12th Edition by Eugene F. Brigham - Test Bank
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Intermediate Financial Management 12th Edition by Eugene F. Brigham - Test Bank

Intermediate Financial Management 12th Edition by Eugene F. Brigham - Test Bank   Instant Download - Complete Test Bank With Answers     Sample Questions Are Posted Below   1. An option is a contract that gives its holder the right to buy or sell an asset at a predetermined price within a specified period of …

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Intermediate Financial Management 12th Edition by Eugene F. Brigham – Test Bank

 

Instant Download – Complete Test Bank With Answers

 

 

Sample Questions Are Posted Below

 

1. An option is a contract that gives its holder the right to buy or sell an asset at a predetermined price within a specified period of time.

  a. True
  b. False

 

ANSWER:   True
POINTS:   1
DIFFICULTY:   Difficulty: Easy
LEARNING OBJECTIVES:   INTE.GENE.16.32 – LO: 5-1
NATIONAL STANDARDS:   United States – BUSPROG: Reflective Thinking
STATE STANDARDS:   United States – AK – DISC: Derivatives
LOCAL STANDARDS:   United States – OH – Default City – TBA
TOPICS:   Options
KEYWORDS:   Bloom’s: Knowledge

 

2. The strike price is the price that must be paid for a share of common stock when it is bought by exercising a warrant.

  a. True
  b. False

 

ANSWER:   True
POINTS:   1
DIFFICULTY:   Difficulty: Easy
LEARNING OBJECTIVES:   INTE.GENE.16.32 – LO: 5-1
NATIONAL STANDARDS:   United States – BUSPROG: Reflective Thinking
STATE STANDARDS:   United States – AK – DISC: Derivatives
LOCAL STANDARDS:   United States – OH – Default City – TBA
TOPICS:   Strike price
KEYWORDS:   Bloom’s: Knowledge

 

3. The exercise value is the positive difference between the current price of the stock and the call option’s strike price. The exercise value is zero if the stock’s price is below the strike price

  a. True
  b. False

 

ANSWER:   True
POINTS:   1
DIFFICULTY:   Difficulty: Easy
LEARNING OBJECTIVES:   INTE.GENE.16.32 – LO: 5-1
NATIONAL STANDARDS:   United States – BUSPROG: Reflective Thinking
STATE STANDARDS:   United States – AK – DISC: Derivatives
LOCAL STANDARDS:   United States – OH – Default City – TBA
TOPICS:   Exercise value
KEYWORDS:   Bloom’s: Knowledge

 

4. The exercise value is also called the strike price, but this term is generally used when discussing convertibles rather than financial options.

  a. True
  b. False

 

ANSWER:   False
POINTS:   1
DIFFICULTY:   Difficulty: Easy
LEARNING OBJECTIVES:   INTE.GENE.16.32 – LO: 5-1
NATIONAL STANDARDS:   United States – BUSPROG: Reflective Thinking
STATE STANDARDS:   United States – AK – DISC: Derivatives
LOCAL STANDARDS:   United States – OH – Default City – TBA
TOPICS:   Exercise value
KEYWORDS:   Bloom’s: Knowledge

 

5. As the price of a stock rises above the strike price, the value investors are willing to pay for a call option increases because both (1) the immediate capital gain that can be realized by exercising the option and (2) the likely exercise value of the option when it expires have both increased.

  a. True
  b. False

 

ANSWER:   True
POINTS:   1
DIFFICULTY:   Difficulty: Easy
LEARNING OBJECTIVES:   INTE.GENE.16.32 – LO: 5-1
NATIONAL STANDARDS:   United States – BUSPROG: Reflective Thinking
STATE STANDARDS:   United States – AK – DISC: Derivatives
LOCAL STANDARDS:   United States – OH – Default City – TBA
TOPICS:   Option time value
KEYWORDS:   Bloom’s: Knowledge

 

6. If the current price of a stock is below the strike price, then an option to buy the stock is worthless and will have a zero value.

  a. True
  b. False

 

ANSWER:   False
POINTS:   1
DIFFICULTY:   Difficulty: Easy
LEARNING OBJECTIVES:   INTE.GENE.16.32 – LO: 5-1
NATIONAL STANDARDS:   United States – BUSPROG: Reflective Thinking
STATE STANDARDS:   United States – AK – DISC: Derivatives
LOCAL STANDARDS:   United States – OH – Default City – TBA
TOPICS:   Option pricing
KEYWORDS:   Bloom’s: Knowledge

 

7. If the market is in equilibrium, then an option must sell at a price that is exactly equal to the difference between the stock’s current price and the option’s strike price.

  a. True
  b. False

 

ANSWER:   False
POINTS:   1
DIFFICULTY:   Difficulty: Easy
LEARNING OBJECTIVES:   INTE.GENE.16.32 – LO: 5-1
NATIONAL STANDARDS:   United States – BUSPROG: Reflective Thinking
STATE STANDARDS:   United States – AK – DISC: Derivatives
LOCAL STANDARDS:   United States – OH – Default City – TBA
TOPICS:   Option pricing
KEYWORDS:   Bloom’s: Knowledge

 

8. Since investors tend to dislike risk and like certainty, the more volatile a stock, the less valuable will be an option to purchase the stock, other things held constant.

  a. True
  b. False

 

ANSWER:   False
POINTS:   1
DIFFICULTY:   Difficulty: Easy
LEARNING OBJECTIVES:   INTE.GENE.16.32 – LO: 5-1
NATIONAL STANDARDS:   United States – BUSPROG: Reflective Thinking
STATE STANDARDS:   United States – AK – DISC: Derivatives
LOCAL STANDARDS:   United States – OH – Default City – TBA
TOPICS:   Option pricing
KEYWORDS:   Bloom’s: Knowledge

 

9. Because of the time value of money, the longer before an option expires, the less valuable the option will be, other things held constant.

  a. True
  b. False

 

ANSWER:   False
POINTS:   1
DIFFICULTY:   Difficulty: Easy
LEARNING OBJECTIVES:   INTE.GENE.16.32 – LO: 5-1
NATIONAL STANDARDS:   United States – BUSPROG: Reflective Thinking
STATE STANDARDS:   United States – AK – DISC: Derivatives
LOCAL STANDARDS:   United States – OH – Default City – TBA
TOPICS:   Option pricing
KEYWORDS:   Bloom’s: Knowledge

 

10. If we define the “premium” on an option to be the difference between the price at which an option sells and the exercise value (or the difference between the stock’s current market price and the strike price), then we would expect the premium to increase as the stock price increases, other things held constant.

  a. True
  b. False

 

ANSWER:   False
RATIONALE:   See Figure 8−1, which shows that the premium becomes smaller and smaller as the price of the stock increases. One factor that produces this result is the fact that the amount of leverage inherent in the option diminishes as the stock price increases.
POINTS:   1
DIFFICULTY:   Difficulty: Easy
LEARNING OBJECTIVES:   INTE.GENE.16.32 – LO: 5-1
NATIONAL STANDARDS:   United States – BUSPROG: Reflective Thinking
STATE STANDARDS:   United States – AK – DISC: Derivatives
LOCAL STANDARDS:   United States – OH – Default City – TBA
TOPICS:   Option pricing
KEYWORDS:   Bloom’s: Knowledge

 

11. Because of the put-call parity relationship, under equilibrium conditions a put option on a stock must sell at exactly the same price as a call option on the stock, provided the strike prices for the put and call are the same.

  a. True
  b. False

 

ANSWER:   False
RATIONALE:   Recognize that if a stock is selling far above the strike price, the call option will be quite valuable, but the put option will be worth very little because the probability is low that the stock’s market price will fall below the put’s strike price.
POINTS:   1
DIFFICULTY:   Difficulty: Easy
LEARNING OBJECTIVES:   INTE.GENE.16.33 – LO: 5-6
NATIONAL STANDARDS:   United States – BUSPROG: Reflective Thinking
STATE STANDARDS:   United States – AK – DISC: Derivatives
LOCAL STANDARDS:   United States – OH – Default City – TBA
TOPICS:   Put-call parity
KEYWORDS:   Bloom’s: Knowledge

 

12. If a company announces a change in its dividend policy from a zero target payout ratio to a 100% payout policy, this action could be expected to increase the value of long-term options (say 5-year options) on the firm’s stock.

  a. True
  b. False

 

ANSWER:   False
RATIONALE:   Dividends do not enter into the OPM pricing formula. We would expect the stock of a firm that retains all of its earnings to grow over time due to the reinvestment of its earnings, whereas a firm that retains zero earnings should not grow much if any. Therefore, the value of the firm’s long-term options should decline if it announces a change from a zero to a 100% payout policy.
POINTS:   1
DIFFICULTY:   Difficulty: Moderate
LEARNING OBJECTIVES:   INTE.GENE.16.33 – LO: 5-6
NATIONAL STANDARDS:   United States – BUSPROG: Reflective Thinking
STATE STANDARDS:   United States – AK – DISC: Derivatives
LOCAL STANDARDS:   United States – OH – Default City – TBA
TOPICS:   Put-call parity
KEYWORDS:   Bloom’s: Comprehension

 

13. An option that gives the holder the right to sell a stock at a specified price at some future time is

  a. a put option.
  b. an out-of-the-money option.
  c. a naked option.
  d. a covered option.
  e. a call option.

 

ANSWER:   a
POINTS:   1
DIFFICULTY:   Difficulty: Easy
LEARNING OBJECTIVES:   INTE.GENE.16.32 – LO: 5-1
NATIONAL STANDARDS:   United States – BUSPROG: Analytic
STATE STANDARDS:   United States – AK – DISC: Derivatives
LOCAL STANDARDS:   United States – OH – Default City – TBA
TOPICS:   Option terms
KEYWORDS:   Bloom’s: Comprehension
OTHER:   TYPE: Multiple Choice: Conceptual

 

14. Other things held constant, the value of an option depends on the stock’s price, the risk-free rate, and the

  a. Variability of the stock price.
  b. Option’s time to maturity.
  c. Strike price.
  d. All of the above.
  e. None of the above.

 

ANSWER:   d
POINTS:   1
DIFFICULTY:   Difficulty: Easy
LEARNING OBJECTIVES:   INTE.GENE.16.32 – LO: 5-1
NATIONAL STANDARDS:   United States – BUSPROG: Analytic
STATE STANDARDS:   United States – AK – DISC: Derivatives
LOCAL STANDARDS:   United States – OH – Default City – TBA
TOPICS:   Option value
KEYWORDS:   Bloom’s: Comprehension
OTHER:   TYPE: Multiple Choice: Conceptual

 

15. Which of the following statements is most correct, holding other things constant, for XYZ Corporation’s traded call options?

  a. The higher the strike price on XYZ’s options, the higher the option’s price will be.
  b. Assuming the same strike price, an XYZ call option that expires in one month will sell at a higher price than one that expires in three months.
  c. If XYZ’s stock price stabilizes (becomes less volatile), then the price of its options will increase.
  d. If XYZ pays a dividend, then its option holders will not receive a cash payment, but the strike price of the option will be reduced by the amount of the dividend.
  e. The price of these call options is likely to rise if XYZ’s stock price rises.

 

ANSWER:   e
POINTS:   1
DIFFICULTY:   Difficulty: Easy
LEARNING OBJECTIVES:   INTE.GENE.16.32 – LO: 5-1
NATIONAL STANDARDS:   United States – BUSPROG: Analytic
STATE STANDARDS:   United States – AK – DISC: Derivatives
LOCAL STANDARDS:   United States – OH – Default City – TBA
TOPICS:   Option concepts
KEYWORDS:   Bloom’s: Comprehension
OTHER:   TYPE: Multiple Choice: Conceptual

 

16. BLW Corporation is considering the terms to be set on the options it plans to issue to its executives. Which of the following actions would decrease the value of the options, other things held constant?

  a. The exercise price of the option is increased.
  b. The life of the option is increased, i.e., the time until it expires is lengthened.
  c. The Federal Reserve takes actions that increase the risk-free rate.
  d. BLW’s stock price becomes more risky (higher variance).
  e. BLW’s stock price suddenly increases.

 

ANSWER:   a
POINTS:   1
DIFFICULTY:   Difficulty: Easy
LEARNING OBJECTIVES:   INTE.GENE.16.32 – LO: 5-1
NATIONAL STANDARDS:   United States – BUSPROG: Analytic
STATE STANDARDS:   United States – AK – DISC: Derivatives
LOCAL STANDARDS:   United States – OH – Default City – TBA
TOPICS:   Option concepts
KEYWORDS:   Bloom’s: Comprehension
OTHER:   TYPE: Multiple Choice: Conceptual

 

17. Which of the following statements is CORRECT?

  a. Call options give investors the right to sell a stock at a certain strike price before a specified date.
  b. Options typically sell for less than their exercise value.
  c. LEAPS are very short-term options that were created relatively recently and now trade in the market.
  d. An option holder is not entitled to receive dividends unless he or she exercises their option before the stock goes ex dividend.
  e. Put options give investors the right to buy a stock at a certain strike price before a specified date.

 

ANSWER:   d
POINTS:   1
DIFFICULTY:   Difficulty: Easy
LEARNING OBJECTIVES:   INTE.GENE.16.32 – LO: 5-1
NATIONAL STANDARDS:   United States – BUSPROG: Analytic
STATE STANDARDS:   United States – AK – DISC: Derivatives
LOCAL STANDARDS:   United States – OH – Default City – TBA
TOPICS:   Miscellaneous option concepts
KEYWORDS:   Bloom’s: Comprehension
OTHER:   TYPE: Multiple Choice: Conceptual

 

18. An investor who writes standard call options against stock held in his or her portfolio is said to be selling what type of options?

  a. Put
  b. Naked
  c. Covered
  d. Out-of-the-money
  e. In-the-money

 

ANSWER:   c
POINTS:   1
DIFFICULTY:   Difficulty: Moderate
LEARNING OBJECTIVES:   INTE.GENE.16.32 – LO: 5-1
NATIONAL STANDARDS:   United States – BUSPROG: Analytic
STATE STANDARDS:   United States – AK – DISC: Derivatives
LOCAL STANDARDS:   United States – OH – Default City – TBA
TOPICS:   Options
KEYWORDS:   Bloom’s: Analysis
OTHER:   TYPE: Multiple Choice: Conceptual

 

19. Cazden Motors’ stock is trading at $30 a share. Call options on the company’s stock are also available, some with a strike price of $25 and some with a strike price of $35. Both options expire in three months. Which of the following best describes the value of these options?

  a. The options with the $25 strike price will sell for less than the options with the $35 strike price.
  b. The options with the $25 strike price have an exercise value greater than $5.
  c. The options with the $35 strike price have an exercise value greater than $0.
  d. If Cazden’s stock price rose by $5, the exercise value of the options with the $25 strike price would also increase by $5.
  e. The options with the $25 strike price will sell for $5.

 

ANSWER:   d
POINTS:   1
DIFFICULTY:   Difficulty: Moderate
LEARNING OBJECTIVES:   INTE.GENE.16.32 – LO: 5-1
NATIONAL STANDARDS:   United States – BUSPROG: Analytic
STATE STANDARDS:   United States – AK – DISC: Derivatives
LOCAL STANDARDS:   United States – OH – Default City – TBA
TOPICS:   Option value
KEYWORDS:   Bloom’s: Analysis
OTHER:   TYPE: Multiple Choice: Conceptual

 

20. Braddock Construction Co.’s stock is trading at $20 a share. Call options that expire in three months with a strike price of $20 sell for $1.50. Which of the following will occur if the stock price increases 10%, to $22 a share?

  a. The price of the call option will increase by more than $2.
  b. The price of the call option will increase by less than $2, and the percentage increase in price will be less than 10%.
  c. The price of the call option will increase by less than $2, but the percentage increase in price will be more than 10%.
  d. The price of the call option will increase by more than $2, but the percentage increase in price will be less than 10%.
  e. The price of the call option will increase by $2.

 

ANSWER:   c
POINTS:   1
DIFFICULTY:   Difficulty: Moderate
LEARNING OBJECTIVES:   INTE.GENE.16.32 – LO: 5-1
NATIONAL STANDARDS:   United States – BUSPROG: Analytic
STATE STANDARDS:   United States – AK – DISC: Derivatives
LOCAL STANDARDS:   United States – OH – Default City – TBA
TOPICS:   Option value
KEYWORDS:   Bloom’s: Analysis
OTHER:   TYPE: Multiple Choice: Conceptual

 

21. Which of the following statements is CORRECT?

  a. Call options generally sell at a price greater than their exercise value, and the greater the exercise value, the higher the premium on the option is likely to be.
  b. Call options generally sell at a price below their exercise value, and the greater the exercise value, the lower the premium on the option is likely to be.
  c. Call options generally sell at a price below their exercise value, and the lower the exercise value, the lower the premium on the option is likely to be.
  d. Because of the put-call parity relationship, under equilibrium conditions a put option on a stock must sell at exactly the same price as a call option on the stock.
  e. If the underlying stock does not pay a dividend, it does not make good economic sense to exercise a call option prior to its expiration date, even if this would yield an immediate profit.

 

ANSWER:   e
POINTS:   1
DIFFICULTY:   Difficulty: Moderate
LEARNING OBJECTIVES:   INTE.GENE.16.33 – LO: 5-6
NATIONAL STANDARDS:   United States – BUSPROG: Analytic
STATE STANDARDS:   United States – AK – DISC: Derivatives
LOCAL STANDARDS:   United States – OH – Default City – TBA
TOPICS:   Miscellaneous option concepts
KEYWORDS:   Bloom’s: Analysis
OTHER:   TYPE: Multiple Choice: Conceptual

 

22. Which of the following statements is CORRECT?

  a. Call options generally sell at a price less than their exercise value.
  b. If a stock becomes riskier (more volatile), call options on the stock are likely to decline in value.
  c. Call options generally sell at prices above their exercise value, but for an in-the-money option, the greater the exercise value in relation to the strike price, the lower the premium on the option is likely to be.
  d. Because of the put-call parity relationship, under equilibrium conditions a put option on a stock must sell at exactly the same price as a call option on the stock.
  e. If the underlying stock does not pay a dividend, it makes good economic sense to exercise a call option as soon as the stock’s price exceeds the strike price by about 10%, because this permits the option holder to lock in an immediate profit.

 

ANSWER:   c
RATIONALE:   Answer c is correct. See Figure 8−1 and the related discussion.
POINTS:   1
DIFFICULTY:   Difficulty: Moderate
LEARNING OBJECTIVES:   INTE.GENE.16.33 – LO: 5-6
NATIONAL STANDARDS:   United States – BUSPROG: Analytic
STATE STANDARDS:   United States – AK – DISC: Derivatives
LOCAL STANDARDS:   United States – OH – Default City – TBA
TOPICS:   Miscellaneous option concepts
KEYWORDS:   Bloom’s: Analysis
OTHER:   TYPE: Multiple Choice: Conceptual

 

23. Which of the following statements is CORRECT?

  a. As the stock’s price rises, the time value portion of an option on a stock increases because the difference between the price of the stock and the fixed strike price increases.
  b. Issuing options provides companies with a low cost method of raising capital.
  c. The market value of an option depends in part on the option’s time to maturity and also on the variability of the underlying stock’s price.
  d. The potential loss on an option decreases as the option sells at higher and higher prices because the profit margin gets bigger.
  e. An option’s value is determined by its exercise value, which is the market price of the stock less its striking price. Thus, an option can’t sell for more than its exercise value.

 

ANSWER:   c
POINTS:   1
DIFFICULTY:   Difficulty: Challenging
LEARNING OBJECTIVES:   INTE.GENE.16.32 – LO: 5-1
NATIONAL STANDARDS:   United States – BUSPROG: Analytic
STATE STANDARDS:   United States – AK – DISC: Derivatives
LOCAL STANDARDS:   United States – OH – Default City – TBA
TOPICS:   Options
KEYWORDS:   Bloom’s: Analysis
OTHER:   TYPE: Multiple Choice: Conceptual

 

24. Suppose you believe that Basso Inc.’s stock price is going to increase from its current level of $22.50 sometime during the next 5 months. For $3.10 you can buy a 5-month call option giving you the right to buy 1 share at a price of $25 per share. If you buy this option for $3.10 and Basso’s stock price actually rises to $45, what would your pre-tax net profit be?

  a. −$3.10
  b. $16.90
  c. $17.75
  d. $22.50
  e. $25.60

 

ANSWER:   b
RATIONALE:   The call option will be exercised only if the final price is above the strike price. If the final price is below the strike price, there will simply be a loss equal to the cost of the option.

Strike price: $25.00 No. of options: 1
Final price: $45.00 Option cost: $3.10

Profit per share = Final price − Strike price = $45 − $25 or zero: $20.00 Total profit = Profit/option × No. of options − Cost of options = $16.90
POINTS:   1
DIFFICULTY:   Difficulty: Easy
LEARNING OBJECTIVES:   INTE.GENE.16.32 – LO: 5-1
NATIONAL STANDARDS:   United States – BUSPROG: Analytic
STATE STANDARDS:   United States – AK – DISC: Derivatives
LOCAL STANDARDS:   United States – OH – Default City – TBA
TOPICS:   Call options
KEYWORDS:   Bloom’s: Application
OTHER:   TYPE: Multiple Choice: Problem

 

25. Suppose you believe that Florio Company’s stock price is going to decline from its current level of $82.50 sometime during the next 5 months. For $5.10 you could buy a 5-month put option giving you the right to sell 1 share at a price of $85 per share. If you bought this option for $5.10 and Florio’s stock price actually dropped to $60, what would your pre-tax net profit be?

  a. −$5.10
  b. $19.90
  c. $20.90
  d. $22.50
  e. $27.60

 

ANSWER:   b
RATIONALE:   The put option will be exercised only if the final price is below the strike price. If the final price exceeds the strike price, there will simply be a loss equal to the cost of the option.

Strike price: $85.00 No. of options: 1
Final price: $60.00 Option cost: $5.10

Profit per share = Strike price − Final price = $85 − $60 or zero: $25.00 Total profit = Profit/option × No. of options − Cost of options = $19.90
POINTS:   1
DIFFICULTY:   Difficulty: Easy
LEARNING OBJECTIVES:   INTE.GENE.16.32 – LO: 5-1
NATIONAL STANDARDS:   United States – BUSPROG: Analytic
STATE STANDARDS:   United States – AK – DISC: Derivatives
LOCAL STANDARDS:   United States – OH – Default City – TBA
TOPICS:   Put options
KEYWORDS:   Bloom’s: Application
OTHER:   TYPE: Multiple Choice: Problem

 

26. The current price of a stock is $22, and at the end of one year its price will be either $27 or $17. The annual risk-free rate is 6.0%, based on daily compounding. A 1-year call option on the stock, with an exercise price of $22, is available. Based on the binomial model, what is the option’s value? (Hint: Use daily compounding.)

  a. $2.43
  b. $2.70
  c. $2.99
  d. $3.29
  e. $3.62

 

ANSWER:   c
RATIONALE:  
Current price $22.00 Price at end of year:
Exercise price $22.00 High $27.00
rRF 6.00% Low $17.00

 

Step 1. Payoff range, stock: $27.00 − $17.00 = $10.00
   
Step 2. Payoff range, option:
  If stock is high: Price − Exercise = 27 − 22 = $5.00
  If stock is low: (Price − Exercise) or $0 = 0.00
  Option range: $5 − $0 = $5.00
   
Step 3. Equalize the ranges to find the number of shares of stock:
  Option range/Stock range = $5/$10 = shares of stock = 0.5  
   
Step 4. The payoff from 0.5 shares of stock will be either: $13.50 or $8.50
  The payoff from the option will be either: 5.00 or 0.00
  The portfolio’s payoff will be either: $ 8.50 or $8.50
  So the portfolio’s payoff is riskless, $8.50 regardless of which choice materializes.
   
Step 5. The present value of $8.50 at the daily compounded risk-free rate is:
  PV = $8.50/(1 + (0.06/365))365 = $8.005.
   
Step 6. The option price is the cost of the stock purchased for the portfolio minus the PV of the payoff:
  V = 0.5($22) −$8.01 = $2.99
POINTS:   1
DIFFICULTY:   Difficulty: Moderate
LEARNING OBJECTIVES:   INTE.GENE.16.34 – LO: 5-2
NATIONAL STANDARDS:   United States – BUSPROG: Analytic
STATE STANDARDS:   United States – AK – DISC: Derivatives
LOCAL STANDARDS:   United States – OH – Default City – TBA
TOPICS:   Option price based on binomial model
KEYWORDS:   Bloom’s: Analysis
OTHER:   TYPE: Multiple Choice: Problem

 

27. The current price of a stock is $50, the annual risk-free rate is 6%, and a 1-year call option with a strike price of $55 sells for $7.20. What is the value of a put option, assuming the same strike price and expiration date as for the call option?

  a. $7.33
  b. $7.71
  c. $8.12
  d. $8.55
  e. $9.00

 

ANSWER:   e
RATIONALE:  
Stock price: $50.00
Strike price: $55.00
Call option price: $7.20
Risk-free rate: 6.0%

 

Value of put = Value of call − Stock price + (Exercise price × e−rt)
  = $7.20 − $50.00 + $55 × e−rt
  = $7.20 − $50.00 + $51.80
  = $9.00
POINTS:   1
DIFFICULTY:   Difficulty: Moderate
LEARNING OBJECTIVES:   INTE.GENE.16.33 – LO: 5-6
NATIONAL STANDARDS:   United States – BUSPROG: Analytic
STATE STANDARDS:   United States – AK – DISC: Derivatives
LOCAL STANDARDS:   United States – OH – Default City – TBA
TOPICS:   Put-call parity
KEYWORDS:   Bloom’s: Analysis
OTHER:   TYPE: Multiple Choice: Problem

 

28. An analyst wants to use the Black-Scholes model to value call options on the stock of Heath Corporation based on the following data:

∙ The price of the stock is $40.
∙ The strike price of the option is $40.
∙ The option matures in 3 months (t = 0.25).
∙ The standard deviation of the stock’s returns is 0.40, and the variance is 0.16.
∙ The risk-free rate is 6%.

Given this information, the analyst then calculated the following necessary components of the Black-Scholes model:

∙ d1 = 0.175
∙ d2 = −0.025
∙ N(d1) = 0.56946
∙ N(d2) = 0.49003

N(d1) and N(d2) represent areas under a standard normal distribution function. Using the Black-Scholes model, what is the value of the call option?

  a. $2.81
  b. $3.12
  c. $3.47
  d. $3.82
  e. $4.20

 

ANSWER:   c
RATIONALE:  
Stock price: $40.00 N(d1) = 0.56946
Strike price: $40.00 N(d2) = 0.49003
Option maturity: 0.25  
Variance of stock returns: 0.16  
Risk-free rate: 6.0%  

The Black-Scholes model calculates the value of the call option as:

V = P[N(d1)] − Xe−rt[N(d2)]
  = $40(0.56946) − $40e−rt(0.49003)
  = $22.78 − $19.31
  = $3.47
POINTS:   1
DIFFICULTY:   Difficulty: Challenging
LEARNING OBJECTIVES:   INTE.GENE.16.35 – LO: 5-5
NATIONAL STANDARDS:   United States – BUSPROG: Analytic
STATE STANDARDS:   United States – AK – DISC: Derivatives
LOCAL STANDARDS:   United States – OH – Default City – TBA
TOPICS:   Black-Scholes model
KEYWORDS:   Bloom’s: Analysis
OTHER:   TYPE: Multiple Choice: Problem

 

 

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