chapter 24
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1.
Consider the following project of Hand Clapper, Incorporated. The company is considering a four-year project to manufacture clap-command garage door openers. This project requires an initial investment of $15.6 million that will be depreciated straight-line to zero over the project’s life. An initial investment in net working capital of $630,000 is required to support spare parts inventory; this cost is fully recoverable whenever the project ends. The company believes it can generate $13.1
million in pretax revenues with $5.2 million in total pretax operating costs. The tax rate is 24 percent and the discount rate is 11 percent. The market value of the equipment over the life of the project is as follows:
Year
Market Value (millions)
1
$ 12.5
2
10.1
3
5.5
4
1.4
a.
Assuming the company operates this project for four years, what is the NPV?
(Do not round intermediate calculations and enter your answer in dollars, not millions, rounded to 2 decimal places, e.g., 1,234,567.89.)
b-
1.
Compute the project NPV assuming the project is abandoned after one year.
(Do not round intermediate calculations and enter your answer in dollars, not millions, rounded to 2 decimal places, e.g., 1,234,567.89.)
b-
2.
Compute the project NPV assuming the project is abandoned after two years.
(Do not round intermediate calculations and enter your answer in dollars, not millions, rounded to 2 decimal places, e.g., 1,234,567.89.)
b-
3.
Compute the project NPV assuming the project is abandoned after three years.
(Do not round intermediate calculations and enter your answer in dollars, not millions, rounded to 2 decimal places, e.g., 1,234,567.89
2. Your company is deciding whether to invest in a new machine. The new machine will increase cash flow by $330,000 per year. You believe the technology used in the machine has a 10-year life; in other words, no matter when you purchase the machine, it will be obsolete 10 years from today. The machine is currently priced at $1,850,000. The cost of the machine will decline by $120,000 per year until it reaches $1,250,000, where it will remain.
If your required return is 12 percent, calculate the NPV today.
(Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)
If your required return is 12 percent, calculate the NPV for the following years.
(Do not round intermediate calculations and round your answers to 2 decimal places,
e.g., 32.16. A negative answer should be indicated by a minus sign.)
Should you purchase the machine?
multiple choice 1
Yes
No
If so, when should you purchase it?
multiple choice 2
Today
One year from now
Two years from now
3.A $1,000 par convertible debenture has a conversion price for common stock of $43 per share. With the common stock selling at $52, what is the conversion value of the bond?
(Do not round intermediate calculations and round your answer to 2 decimal places,
e.g., 32.16.)
4. Rackin Pinion Corporation’s assets are currently worth $1,140. In one year, they will be worth either $1,100 or $1,390. The risk-free interest rate is 7 percent. Suppose the company has an outstanding debt issue with a face value of $1,000.
a.What is the value of the equity? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)
b
-
1
.
What is the value of the debt? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)
b
-
2
.
What is the interest rate on the debt? (Do not round intermediate calculations and enter your answer as a percent rounded to the nearest whole number,
e.g., 32.)
c.Would the value of the equity go up or down if the risk-free rate were 9 percent?
5. We are examining a new project. We expect to sell 6,000 units per year at $74 net cash flow
apiece for the next 10 years. In other words, the annual cash flow is projected to be $74 × 6,000 = $444,000. The relevant discount rate is 18 percent, and the initial investment required is $1,710,000.
a.
What is the base-case NPV? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)
b.
After the first year, the project can be dismantled and sold for $1,540,000. If expected sales are revised based on the first year’s performance, below what level of expected sales would it make sense to abandon the project? (Do not round intermediate calculations and round your answer to the nearest whole number, e.g., 32.)
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6. Buckeye Industries has a bond issue with a face value of $1,000 that is coming due in one year. The value of the company’s assets is currently $1,210. The CEO believes that the assets in the company will be worth either $940 or $1,460 in a year. The going rate on one-
year T-bills is 3 percent.
a-
1.
What is the value of the company’s equity? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)
a-
2.
What is the value of the debt? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)
Suppose the company can reconfigure its existing assets in such a way that the value in a year will be $920 or $1,720.
b.
If the current value of the assets is unchanged, what is the new value of the company's equity? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)
7.Use the option quote information shown here to answer the questions that follow. The stock is currently selling for $41.
Option
Expiration
Strike Price
Calls
Puts
Volume
Last
Volume
Last
Macroso February
43
99
1.63
54
2.63
ft
March
43
75
1.87
36
3.04
May
43
36
2.15
25
3.46
August
43
17
2.36
17
3.50
a.
Suppose you buy 24 contracts of the February 43 call option. How much will you pay, ignoring commissions?
Suppose you buy 24 contracts of the February 43 call option. Macrosoft stock is selling for $44 per share on the expiration date.
b-
1.
How much is your options investment worth?
b-
2.
What if the terminal stock price is $43?
Suppose you buy 24 contracts of the August 43 put option.
c-
1.
What is your maximum gain?
c-
2.
On the expiration date, Macrosoft is selling for $37 per share. How much is your options investment worth?
c-
3.
On the expiration date, Macrosoft is selling for $37 per share. What is your net gain?
Suppose you sell 24 of the August 43 put contracts.
d-
1.
What is your net gain or loss if Macrosoft is selling for $38 at expiration?
(Enter your answer as a positive value.)
d-
2.
What is your net gain or loss if Macrosoft is selling For $45 at expiration?
(Enter your answer as a positive value.)
d-
3.
What is the break-even stock price? (Round your answer to 2 decimal places, e.g., 32.16.)
8. You have been hired to value a new 20-year callable, convertible bond. The bond has a coupon rate of 6.8 percent, payable semiannually, and its face value is $1,000. The conversion price is $63, and the stock currently sells for $50.
a.
What is the minimum value of the bond? Comparable nonconvertible bonds are priced to yield 8 percent. (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)
b.
What is the conversion premium for this bond? (Enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)
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