Fundamentals of Corporate Finance
11th Edition
ISBN: 9780077861704
Author: Stephen A. Ross Franco Modigliani Professor of Financial Economics Professor, Randolph W Westerfield Robert R. Dockson Deans Chair in Bus. Admin., Bradford D Jordan Professor
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 6.3, Problem 6.3DCQ
What does continuous compounding mean?
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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 6 Solutions
Fundamentals of Corporate Finance
Ch. 6.1 - Prob. 6.1ACQCh. 6.1 - Prob. 6.1BCQCh. 6.1 - Unless we are explicitly told otherwise, what do...Ch. 6.2 - In general, what is the present value of an...Ch. 6.2 - In general, what is the present value of a...Ch. 6.3 - If an interest rate is given as 12 percent...Ch. 6.3 - What is an APR? What is an EAR? Are they the same...Ch. 6.3 - Prob. 6.3CCQCh. 6.3 - What does continuous compounding mean?Ch. 6.4 - What is a pure discount loan? An interest-only...
Ch. 6.4 - What does it mean to amortize a loan?Ch. 6.4 - Prob. 6.4CCQCh. 6 - Two years ago, you opened an investment account...Ch. 6 - A stream of equal payments that occur at the...Ch. 6 - Your credit card charges interest of 1.2 percent...Ch. 6 - What type of loan is repaid in a single lump sum?Ch. 6 - Annuity Factors [LO1] There are four pieces to an...Ch. 6 - Prob. 2CRCTCh. 6 - Prob. 3CRCTCh. 6 - Present Value [LO1] What do you think about the...Ch. 6 - Prob. 5CRCTCh. 6 - Prob. 6CRCTCh. 6 - APR and EAR [LO4] Should lending laws be changed...Ch. 6 - Prob. 8CRCTCh. 6 - Prob. 9CRCTCh. 6 - Prob. 10CRCTCh. 6 - Prob. 11CRCTCh. 6 - Prob. 12CRCTCh. 6 - Prob. 1QPCh. 6 - Prob. 2QPCh. 6 - Prob. 3QPCh. 6 - Prob. 4QPCh. 6 - Calculating Annuity Cash Flows [LO1] If you put up...Ch. 6 - Calculating Annuity Values [LO1] Your company will...Ch. 6 - Calculating Annuity Values [LO1] If you deposit...Ch. 6 - Calculating Annuity Values [LO1] You want to have...Ch. 6 - Prob. 9QPCh. 6 - Calculating Perpetuity Values [LO1] The Maybe Pay...Ch. 6 - Prob. 11QPCh. 6 - Prob. 12QPCh. 6 - Calculating APR [LO4] Find the APR, or stated...Ch. 6 - Calculating EAR [LO4] First National Bank charges...Ch. 6 - Prob. 15QPCh. 6 - Prob. 16QPCh. 6 - Prob. 17QPCh. 6 - Calculating Present Values [LO1] An investment...Ch. 6 - EAR versus APR [LO4] Big Doms Pawn Shop charges an...Ch. 6 - Prob. 20QPCh. 6 - Calculating Number of Periods [LO3] One of your...Ch. 6 - Calculating EAR [LO4] Friendlys Quick Loans, Inc.,...Ch. 6 - Prob. 23QPCh. 6 - Calculating Annuity Future Values [LO1] You are...Ch. 6 - Calculating Annuity Future Values [LO1] In the...Ch. 6 - Prob. 26QPCh. 6 - Prob. 27QPCh. 6 - Prob. 28QPCh. 6 - Simple Interest versus Compound Interest [LO4]...Ch. 6 - Prob. 30QPCh. 6 - Prob. 31QPCh. 6 - Prob. 32QPCh. 6 - Calculating Future Values [LO1] You have an...Ch. 6 - Calculating Annuity Payments [LO1] You want to be...Ch. 6 - Prob. 35QPCh. 6 - Prob. 36QPCh. 6 - Prob. 37QPCh. 6 - Growing Annuity [LO1] Your job pays you only once...Ch. 6 - Prob. 39QPCh. 6 - Calculating the Number of Payments [LO2] Youre...Ch. 6 - Prob. 41QPCh. 6 - Prob. 42QPCh. 6 - Prob. 43QPCh. 6 - Prob. 44QPCh. 6 - Prob. 45QPCh. 6 - Prob. 46QPCh. 6 - Prob. 47QPCh. 6 - Prob. 48QPCh. 6 - Prob. 49QPCh. 6 - Calculating Present Value of a Perpetuity [LO1]...Ch. 6 - Prob. 51QPCh. 6 - Prob. 52QPCh. 6 - Calculating Annuities Due [LO1] Suppose you are...Ch. 6 - Prob. 54QPCh. 6 - Prob. 55QPCh. 6 - Prob. 56QPCh. 6 - Prob. 57QPCh. 6 - Prob. 58QPCh. 6 - Prob. 59QPCh. 6 - Prob. 60QPCh. 6 - Calculating Annuity Values [LO1] You are serving...Ch. 6 - Prob. 62QPCh. 6 - Calculating EAR with Points [LO4] The interest...Ch. 6 - Prob. 64QPCh. 6 - Prob. 65QPCh. 6 - Prob. 66QPCh. 6 - Prob. 67QPCh. 6 - Calculating Annuity Payments [LO1] This is a...Ch. 6 - Prob. 69QPCh. 6 - Prob. 70QPCh. 6 - Prob. 71QPCh. 6 - Calculating Interest Rates [LO4] A financial...Ch. 6 - Prob. 73QPCh. 6 - Prob. 74QPCh. 6 - Ordinary Annuities and Annuities Due [LO1] As...Ch. 6 - Calculating Growing Annuities [LO1] You have 40...Ch. 6 - Prob. 77QPCh. 6 - Prob. 78QPCh. 6 - Prob. 79QPCh. 6 - Prob. 80QPCh. 6 - Prob. 1MCh. 6 - Prob. 2MCh. 6 - Prob. 3MCh. 6 - Prob. 4MCh. 6 - Prob. 5MCh. 6 - Prob. 6M
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