Corporate Finance: The Core (4th Edition) (Berk, DeMarzo & Harford, The Corporate Finance Series)
4th Edition
ISBN: 9780134202648
Author: Jonathan Berk, Peter DeMarzo
Publisher: PEARSON
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Textbook Question
Chapter 22, Problem 14P
You are an analyst working for Goldman Sachs, and you are trying to value the growth potential of a large, established company, Big Industries. Big Industries has a thriving R&D division that has consistently turned out successful products. You estimate that, on average, the R&D division generates two new product proposals every three years, so that there is a two-thirds chance that a project will be proposed every year. Typically, the investment opportunities the R&D division produces require an initial investment of $10 million and yield profits of $1 million per year that grow at one of three possible growth rates in perpetuity: 3%, 0%, and –3%. All three growth rates are equally likely for any given project. These opportunities are always “take it or leave it” opportunities: If they are not undertaken immediately, they disappear forever. Assume that the cost of capital will always remain at 12% per year. What is the
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220
6-1. (Expected return and risk) Universal Corporation is planning to invest in a secu- LO1 LO2
rity that has several possible rates of return. Given the following probability distribu-
tion of returns, what is the expected rate of return on the investment? Also, compute
the standard deviations of the returns. What do the resulting numbers represent?
PROBABILITY
0.10
0.20
0.30
RETURN
-10%
5%
0.40
10%
25%
6-2. (Average expected return and risk) Given the holding-period returns shown here,
calculate the average returns and the standard deviations for the Kaifu Corporation Myb
and for the market.
MONTH
1
2
3
KAIFU CORP.
4%
6%
0%
2%
MARKET
2%
3%
1%
-1%
6-3. (Expected rate of return and risk) Carter, Inc. is evaluating a security. Calculate the
investment's expected return and its standard deviation.
PROBABILITY
0.15
RETURN
6%
0.30
9%
0.40
10%
0.15
15%
PART 2 The Valuation of Financial Assets
6-4. (Expected rate of return and risk) Summerville, Inc. is considering an investment in
one of…
6-14. (Expected return, standard deviation, and capital asset pricing model) The following LO5
are the end-of-month prices for both the Standard & Poor's 500 Index and Nike's
common stock.
a. Using the data here, calculate the holding-period returns for each of the months.
NIKE
S&P 500 INDEX
2017
January
$52.90
$2,279
February
57.16
2,364
March
55.73
2,363
April
55.41
2,384
May
52.99
2,412
June
59.00
2,423
July
59.05
2,470
August
52.81
2,472
September
51.85
2,519
October
54.99
2,575
November
60.42
2,648
December
62.55
2,674
2018
January
68.22
2,824
b. Calculate the average monthly return and the standard deviation for both the
S&P 500 and Nike.
222
PART 2 • The Valuation of Financial Assets
c. Develop a graph that shows the relationship between the Nike stock returns
and the S&P 500 Index. (Show the Nike returns on the vertical axis and the
S&P 500 Index returns on the horizontal axis as done in Figure 6-5.)
d. From your graph, describe the nature of the relationship between Nike stock…
required rates of return for the three securities?
6-23. (Portfolio beta and security market line) You own a portfolio consisting of the ☑
stocks below:
PERCENTAGE OF
STOCK OR SECURITY
PORTFOLIO
BETA
EXPECTED RETURN
1
20%
1.00
12%
2
30%
0.85
8%
3
15%
1.20
12%
25%
0.60
7%
5
10%
1.60
16%
The risk-free rate is 3 percent. Also, the expected return on the market portfolio is
11 percent.
a. Calculate the expected return of your portfolio. (Hint: The expected return
of a portfolio equals the weighted average of the individual stocks' expected
returns, where the weights are the percentage invested in each stock.)
b. Calculate the portfolio beta.
c. Given the foregoing information, plot the security market line on paper. Plot
the stocks from your portfolio on your graph.
d. From your plot in part (c), which stocks appear to be your winners and which
ones appear to be your losers?
e. Why should you consider your conclusion in part (d) to be less than certain?
6-24. (Portfolio beta) Assume you…
Chapter 22 Solutions
Corporate Finance: The Core (4th Edition) (Berk, DeMarzo & Harford, The Corporate Finance Series)
Ch. 22.1 - What is the difference between a real option and a...Ch. 22.1 - Why does a real option add value to an investment...Ch. 22.2 - Prob. 1CCCh. 22.2 - In what circumstances does the real option add...Ch. 22.2 - How do you use a decision tree to make the best...Ch. 22.3 - What is the economic trade-off between investing...Ch. 22.3 - Prob. 2CCCh. 22.3 - Does an option to invest have the same beta as the...Ch. 22.4 - Why can a firm with no ongoing projects, and...Ch. 22.4 - Why is it sometimes optimal to invest in stages?
Ch. 22.4 - How can an abandonment option add value to a...Ch. 22.5 - Prob. 1CCCh. 22.5 - Prob. 2CCCh. 22.6 - Why can staging investment decisions add value?Ch. 22.6 - How can you decide the order of investment in a...Ch. 22.7 - Prob. 1CCCh. 22.7 - Prob. 2CCCh. 22 - Your company is planning on opening an office in...Ch. 22 - You are trying to decide whether to make an...Ch. 22 - Prob. 4PCh. 22 - Prob. 5PCh. 22 - You are a financial analyst at Global Conglomerate...Ch. 22 - Prob. 7PCh. 22 - Prob. 8PCh. 22 - Consider again the electric car dealership in...Ch. 22 - Prob. 12PCh. 22 - Prob. 13PCh. 22 - You are an analyst working for Goldman Sachs, and...Ch. 22 - You own a small networking startup. You have just...Ch. 22 - An original silver dollar from the late eighteenth...Ch. 22 - What implicit assumption is made when managers use...Ch. 22 - Prob. 22PCh. 22 - Genenco is developing a new drug that will slow...Ch. 22 - Prob. 24PCh. 22 - Your firm is thinking of expanding. If you invest...Ch. 22 - Prob. 26PCh. 22 - Assume that the project in Example 22.5 pays an...
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