Problem 11-03
An investor with a required return of 14 percent for very risky investments in common stock has analyzed three firms and must decide which, if any, to purchase. The information is as follows:
Firm | A | B | C | ||||
Current earnings | $ | 2.20 | $ | 3.30 | $ | 7.30 | |
Current dividend | $ | 1.20 | $ | 2.50 | $ | 8.20 | |
Expected annual growth rate in | 6 | % | 2 | % | -3 | % | |
dividends and earnings | |||||||
Current market price | $ | 19 | $ | 25 | $ | 48 |
Stock A: $
Stock B: $
Stock C: $
%
Stock A: $
Stock B: $
Stock C: $
Stock A: $
Stock B: $
Stock C: $
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The risk-free rate of return is 4 percent, and the expected return on the market is 7.5 percent. Stock A has a beta coefficient of 1.6, an earnings and dividend growth rate of 8 percent, and a current dividend of $2.10 a share. Do not round intermediate calculations. Round your answers to the nearest cent.
a) What should be the market price of the stock?
b) If the current market price of the stock is $118.00, what should you do?
c) If the expected return on the market rises to 8.8 percent and the other variables remain constant, what will be the value of the stock?
d)If the risk-free return rises to 6 percent and the return on the market rises to 9.1 percent, what will be the value of the stock?
e) If the beta coefficient falls to 1.5 and the other variables remain constant, what will be the value of the stock?
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Suppose there are two independent economic factors, M1 and M2. The risk-free rate is 4%, and all stocks have independent firm-specific components with a standard deviation of 49%. Portfolios A and B are both well diversified.
Portfolio | Beta on M1 | Beta on M2 | Expected Return (%) |
A | 1.6 | 2.4 | 39 |
B | 2.3 | -0.7 | 9 |
What is the expected return–beta relationship in this economy? (Do not round intermediate calculations. Round your answers to 2 decimal places.)
Expected return–beta relationship E(rP) = % + βP1 + βP2
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Bilbo Bags & Things makes fashionable handbags. They are considering extending trade credit to some customers previously considered poor risks. The following estimations are made for this new customer base:
What is the incremental income after taxes?
a). 2,000
b). 80,000
c). 1,600
d). 100,000
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Your firm is contemplating the purchase of a new $475,000 computer based order entry system will be depreciated straight line to zero over its 6 year life . It will be worth $60 ,000 at the end of that time . You will save $165,000 before taxes per year in order processing costs, and you will be able to reduce working capital by $45,000 at the beginning of the project. Working capital will revert back to normal at the end of the project. If the tax rate is 25 percent, what is the IRR for this project?
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Global company is considering replacing one of its equipment with a more efficient one. The old machine has a book value of $60,000 and a remaining useful life of 5 years. It can sell the old machine now for $ 265,000. The old machine is being depreciated by 120,000 per year straight line. The new machine has a purchase price of $ 1,175,000 an estimated useful life and 5 years MACRS class life and salvage value of $145,000. Annual economic savings is $255,000 if new machine is installed. Taxes 40% and WACC is 12%. Show your work the best you can with this problem.
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A share of preferred stock pays a quarterly dividend of $1.00. If the price of the stock is $50, what is the effective annual (not nominal) rate of return on the preferred stock?
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Teta Traders purchases 500 pen sets during the year at R100 per set. The pen sets are sold at R400 each at a steady rate during the year. The cost of placing a single order amounts to R40. Inventory holding cost is R10 per set. Calculate the economic order quantity.
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Consider an unleveraged company worth $150 million. The average investor in the company faces a 15% tax rate on equity investments and a 40% tax rate on debt investments? If debt of $50 million is borrowed and invested by the company and the company faces a 40% corporate tax rate, what is the new value of the company?
Please show work on Excel if you can.
Thank you!
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: A stock price is currently $60. It is known that at the end of eight months it will be either $65 or $55. The risk-free interest rate is 8% per annum with continuous compounding. (1) What is the value of an eight-month European put option with a strike price of $60? (2) Verify that no-arbitrage arguments and risk-neutral valuation arguments give the same answers.
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Google stock rose from $208 at year-end 2005 to $770 per share at year-end 2015. Google has made sizable profits but never paid a dividend. Why were people willing to pay such a high price knowing that they might not get dividends for many years?
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You are considering the following two projects and can only take one. Your cost of capital is
11.2 %11.2%.
The cash flows for the two projects are as follows ($ million):
Project |
Year 0 |
Year 1 |
Year 2 |
Year 3 |
Year 4 |
A |
−$100 |
$27 |
$30 |
$42 |
$52 |
B |
$100 |
$ 52 |
$ 42 |
$ 30 |
$21 |
a. What is the IRR of each project?
b. What is the NPV of each project at your cost of capital?
c. At what cost of capital are you indifferent between the two projects?
d. What should you do?
a. The IRR for project A is nothing%. (Round to one decimal place.) The IRR for project B is nothing%. (Round to one decimal place.) b. The NPV for project A is $ nothing million. (Round to two decimal places.) The NPV for project B is $ nothing million. (Round to two decimal places.) c. You will be indifferent if the cost of capital is nothing%. (Round to one decimal place.) d. Given your cost of capital, which project would you choose? (Select the best choice below.) A. You should invest in project Upper A, as it has the higher IRR. B. You should invest in project Upper B, as it has the higher NPV. C. You should invest in project Upper A, as it has the higher NPV. D. You should invest in project Upper B, as it has the higher IRR.
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2. Candy Cotton Ice-cream House currently rents an ice-cream machine for $50,000 per year, including all maintenance expenses. It is considering purchasing a machine instead, and is comparing two options:
Suppose the appropriate discount rate is 8% per year and the machine is purchased today. Maintenance and packaging costs are paid at the end of each year, but the rental of the machine is paid at the beginning of the year. Assume also that the machines will be depreciated via the straight-line to zero method over seven years and that they have a 10-year life with no salvage value. The marginal corporate tax rate is 35%. Should Candy Cotton Ice-cream House continue to rent, purchase its current machine, or purchase the advanced machine?
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Problem 26-01
Investment Timing Option: Decision-Tree Analysis
Kim Hotels is interested in developing a new hotel in Seoul. The company estimates that the hotel would require an initial investment of $16 million. Kim expects the hotel will produce positive cash flows of $2.72 million a year at the end of each of the next 20 years. The project's cost of capital is 12%.
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