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19. Your client has $100,000 invested in stock A. She would
like to build a two-stock
portíolio by investing another $100,000 in either stock B or C. She wants a portfolio
with an expected return of at least 14% andas low a risk as possible, but the standard
deviation must be no more than 40%. What do you advise her to do, and what will be
the portfolio's expected return and standard deviation?
Expected Return
15%
13%
13%
Standard Deviation
50%
40%
40%
Correlation with A
1
0.2
0.3
A
8
C
400
Part 4 Risk and Return
27. The Chapter Resources section of Mylab Finance has data on Microsoft and theS&p
500 from 1986 to 2006.
a.
Estimate
Microsoft's beta using linear regression over the periods 1987-1991.
b.
Compare the four estimated betas. What do you conclude about how Microsof's
1992-1996, 1997-2001, and 2002-2006.
exposure to systematic risk changed over that 20-year period? What do you think
explains the change?
Putting It AlI Together: The Capital Asset Pricing Model
28. Suppose the risk-free return is 4% and the market
portfolio has an expected return
of 10% and a standard deviation of 16%. Johnson & Johnson
Corporation stockhas
a beta of 0.75. What is its expected return?
risk premium of the market portfolio is positive)
29. What is the sign of the risk premium of a negative-beta stock? Explain. (Assumethe
30. EJH has a beta of 12, CSH has a beta of 0.6, and KMS has a beta of 1.0. If you put
25% of your money in EJH, 25% in CSH, and 50% in KMS, what is the beta of your
portfolio?
31.
Suppose Autodesk stock has a beta of 2.16, whereas Costco stock has a beta of 0.69.
If the risk-free interest rate is 4% and the expected return of the market portfolio is
10%, what is the expected return of a portfolio that consists of 60% Autodesk stock
and 40% Costco stock, according to the CAPM?
32.
Suppose Intel stock has a beta of 0.8, whereas Boeing stock has a beta of 1.2. If the
risk-free
interest rate is 4% and the expected return of the market
portfolio is 10%,
according to the CAPM,
a.
What is the expected return of Intel stock?
b.
What is the expected return of Boeing stock?
c.
What is the beta of a portfolio
that consists of 60% Intel stock and 40% Boeing
stock?
d.
What is the expected return of a portfolio that consists of 60% Intel stock and40%
Boeing stock? (Show both ways to sove this.)
33. You are
thinking
of buying a stock priced at $100 per share. Assume that the risk-
free rate is about 4.5% and the market risk premium is 6%. If you think the stock
will rise to $117 per share by the end of the year, at which
time it will pay a $1
dividend, what beta would it need to have for this expectation to be consistent with
the CAPM?
34.
You are analyzing a stock that has a beta of 1.2. The risk-free rate is 5% and you esti-
mate the market risk premium to be 6%. If you expect the stock to have a return of
11% over the next year, should you buy it? Why or why not?
35. You have risen
through the ranks of a coffee company,
from the low
ł
y green-apron
barista to the coveted black apron, and all the way to CFO. A quick
Internet check
shows that your company's beta is 0.6. The risk-free rate is 5% and you believe the
market risk premium to be 5.5%. What is your best estimate of investors' expected
return on your company's stock (its cost of equity capital)?
36. At the
beginning of 2007 (the year the iPhone was introduced), Apple's beta was 1.4
and the risk-free rate was about 4.5%. Apple's price was $84.84. Apple's price at the
end of 2007 was 198.08. If you estimate the market risk premium to have been6%,
did Apple's managers exceed their investors' required return as given by theCAPM?
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茶
O Points: 0 of 1
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Your client has $101,000 invested in stock A. She would like to build a two-stock portfolio by investing another $101,000
in either stock B or C. She wants a portfolio with an expected return of at least 15.0% and as low a risk as possible, but
the standard deviation must be no more than 40%. What do you advise her to do, and what will be the portfolio expected
return and standard deviation?
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Standard Deviation
A
BC
16%
14%
14%
49%
40%
40%
Correlation with A
1.00
0.11
0.35
The expected return of the portfolio with stock B is %. (Round to one decimal place.)
Clear all
Check answer
View an example
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State of
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Probability of
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Return
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Return
Stock B
Return
Stock C
Boom
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29.51%
Good
0.35
8.08%
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0.40
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3.23%
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1.77%
1.47%
1.16%
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