MINI CASE
:
Assume that you recently graduated and landed a job as a
financial planner with Cicero
Services, an investment advisory company. Your first client
recently inherited some assets
and has asked you to evaluate them. The client presently owns
a bond portfolio with $1
million invested in zero coupon Treasury bonds that mature in
10 years.
The client also
has $2 million invested in the stock of Blandy, Inc., a
company that produces meat-andpotatoes frozen dinners. Blandy’s
slogan is“Solid food for shaky times.”
Unfortunately, Congress and the President are engaged in an
acrimonious dispute over
the budget and the debt ceiling. The outcome of the dispute,
which will not be resolved
until the end of the year, will have a big impact on interest
rates one year from now. Your
first task is to determine the risk of the client’s bond
portfolio. After consulting with the
economists at your firm, you have specified five possible
scenarios for the resolution of thedispute at the end of the year.
For each scenario, you have estimated the probability of the
scenario occurring and the impact on interest rates and bond
prices if the scenario occurs.
Given this information, you have calculated the rate of return
on 10-year zero coupon for
each scenario. The probabilities and returns are shown
below:
Scenario |
Probability of Scenario |
Return on 10-Year Zero Coupon Treasury Bond During the Next Year |
Worse Case |
0.10 |
-14% |
Poor Case |
0.20 |
-4% |
Most Likely |
0.40 |
6% |
Good Case |
0.20 |
16% |
Best Case |
0.10 |
26% |
1.00 |
You have also gathered historical returns for the past 10 years
for Blandy, Gourmange
Corporation (a producer of gourmet specialty foods), and the
stock market.
Historical Stock Returns |
|||
Year |
Market |
Blandy |
Gourmange |
1 |
30% |
26% |
47% |
2 |
7.00 |
15 |
-54 |
3 |
18.00 |
-14 |
15 |
4 |
-22.00 |
-15 |
7 |
5 |
-14.00 |
2 |
-28 |
6 |
10.00 |
-18 |
40 |
7 |
26.00 |
42 |
17 |
8 |
-10.00 |
30 |
-23 |
9 |
-3.00 |
-32 |
-4 |
10 |
38.00 |
28 |
75 |
Average return: |
8.00% |
? |
9.20% |
Standard deviation: |
20.10% |
? |
38.60% |
Correlation with the market: |
1.00 |
? |
0.678 |
Beta: |
1.00 |
? |
1.3 |
The risk-free rate is 4% and the market risk premium is 5%.
a) What are investment returns? What is the
return on an investment that costs $1,000
and is sold after 1 year for $1,060?
c) Use the scenario data to calculate the
expected rate of return for the 10 year zero
coupon Treasury bonds during the next year.
d) What is stand-alone risk? Use the scenario data
to calculate the standard deviation
of the bond’s return for the next year.
i) (1) Should portfolio effects influence how
investors think about the risk of individual
stocks? (2) If you decided to hold a one-stock portfolio and
consequently were
exposed to more risk than diversified investors, could you
expect to be compensated
for all of your risk; that is, could you earn a risk premium
on that part of your risk
that you could have eliminated by diversifying?
j) According to the Capital Asset Pricing Model, what
measures the amount of risk
that an individual stock contributes to a well-diversified
portfolio? Define this
measurement.
q) What does market equilibrium mean? If equilibrium does
not exist, how will it be
established?
r) What is the Efficient Markets Hypothesis (EMH) and what
are its three forms?
What evidence supports the EMH? What evidence casts doubt on
the EMH?
The following cases from CengageCompose cover many of the
concepts discussed in this
chapter and are available at compose.cengage.com.
Klein-Brigham Series:
Case 2,“Peachtree Securities, Inc. (A).”
Brigham-Buzzard Series:
Case 2,“Powerline Network Corporation (Risk and Return).”












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