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4
Common stock value—Constant growth Use the constant-growth model (Gordon |
model) to find the value of each firm shown in the following table. |
Firm |
Dividend expected next year |
Dividend growth rate |
Required return |
A
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$1.20 |
8%
13% |
B
4.00 |
515
C
0.65 |
1014
D
6.00 |
89
E
2.25 |
820
2
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1 |
Risk and probability Micro-Pub, Inc., is considering the purchase of one of two |
microfilm cameras, R and S.
| B |
oth should provide benefits over a
| 10 |
-year period, and
each requires an initial investment of
|
| $
| 4 |
,000
. Management has constructed the table
of estimates of rates of return and probabilities for pessimistic, most |
likely, and optimistic results. |
a.
| D |
etermine the range for the rate of return for each of the two cameras.
b. Determine the expected value of return for each camera. |
c. Purchase of which camera is riskier? Why? |
| C |
amera R
Camera S |
|
| A |
mount
|
|
| Probability |
Amount Probability
Initial Investment |
$4,000
| 1.00 |
$4,000 1.00
Annual rate of return |
Pessimistic |
|
|
| 20 |
%
|
| 0.
| 2
|
| 5 |
|
| 15 |
%
| 0.20 |
Most Likely |
| 25% |
0.
|
| 50 |
25%
0.55 |
Optimistic |
|
|
| 3 |
0
%
0.25
| 35 |
%
0.25
2
Assessing return and risk Swift Manufacturing must choose between two asset purchases. |
The annual rate of return and the related probabilities given in the following |
table summarize the firm’s analysis to this point. |
Project 257 |
Project 432 |
| Rate of return |
Probability Rate of return Probability
(-
| 10% |
)
| 0.01 |
10%
|
|
| 0.05 |
10
| 0.04 |
15
|
|
|
|
| 0.10 |
20 0.05 20 0.10
30 0.10 25
|
|
| 0.15 |
| 40 |
0.15 30 0.20
| 45 |
0.30 |
35 0.15
50 0.15 40 0.10
60 |
0.10 45 0.10
70 |
0.05 50 0.05
|
| 8 |
0
0.04
100 |
0.01
a. For each project, compute: |
(1) The range of possible rates of return. |
(2) The expected value of return. |
(3) The standard deviation of the returns. |
(4) The coefficient of variation of the returns. |
b. Construct a bar chart of each distribution of rates of return. |
c. Which project would you consider less risky? Why? |
1 Question
3
Basic bond valuation Complex Systems has an outstanding issue of $1,000-parvalue |
bonds with a 12% coupon interest rate. The issue pays interest annually and |
has 16 years remaining to its maturity date. |
a. If bonds of similar risk are currently earning a 10% rate of return, how much |
should the Complex Systems bond sell for today? |
b. Describe the two possible reasons why the rate on similar-risk bonds is below the |
coupon interest rate on the Complex Systems bond. |
c. If the required return were at 12% instead of 10%, what would the current value |
of Complex Systems’ bond be? Contrast this finding with your findings in part a |
and discuss. |
Another 2 Questions
4
Common stock value—Constant growth Use the constant-growth model (Gordon |
model) to find the value of each firm shown in the following table. |
Firm |
Dividend expected next year |
Dividend growth rate |
Required return |
A
$1.20 |
8% |
13% |
B
4.00 |
5 15
C
0.65 |
10
14 |
D
6.00 |
8
9 |
E |
2.25 |
8 20
5
Common stock value—Variable growth Newman Manufacturing is considering |
a cash purchase of the stock of Grips Tool. During the year just completed, Grips |
earned $4.25 per share and paid cash dividends of $2.55 per share (D0=$2.55). |
Grips’ earnings and dividends are expected to grow at 25% per year for the next |
3 years, after which they are expected to grow at 10% per year to infinity. What is |
the maximum price per share that Newman should pay for Grips if it has a required |
return of 15% on investments with risk characteristics similar to those of Grips? |
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