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November 10, 2022
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09 Case model
12/9/2018
PA
RT C
Beta
1.2
Use the CA
PM:
r
s
=
9.0%
PA
RT D
D
0
$2.00
g
4%
D
1
$2.08
D
0
×
(1 + g)
D
2
$2.16
D
0
×
(1 + g)
2
P
0
$41.60
P
0
= D
0
(1 + g)/(r
s
–
g)
(3) What is the stock’s expected value one year from now?
P
1
$43.26
P
1
= P
0
(1 +
g)
OR
P
1
= D
1
(1 + g)/(r
s
–
g)
Dividend yield
5.00%
Calculated as D
1
/P
0
9/12/2022 17:18
Chapter 9. Stocks a
nd Their Valuation
This spreadsheet model is designed to be used in conjun
ction with t
he chapter’s integrated case and the related
PowerPoint slide presentation.
A
ssume that Bon T
emps has a beta coefficient of 1.2, that the risk-free rate (the yield on T-bonds) is 3%, and that
the required rate of return on the market is 8%. What is Bon Temps’s required rate of return?
A
ssume that Bon T
emps is a constant growt
h company whose last dividend (D
0
, which w
as paid yesterday
) was
$2.00 and w
hose div
idend is expected
to grow
indefin
itely at a 4% rate.
(1) What is the firm’s expected div
idend stream over the next 3 years?
(2) What is its current stock price?
(4) What are the expected dividend
yield, capital gains y
ield, and total return during the first year?
PA
RT E
P
0
$40.00
PA
RT F
g
0%
P
0
= D
0
(1 + g)/(r
s
–
g)
PA
RT G
g
S, 1
30%
g
S, 2
20%
g
S, 3
10%
g
L, 4 ->
4%
r
s
9.0%
D
0
$2.00
4%———————->
Year
0
1 2
3
4
PV of D
n
$2.39
D
4
$2.65 $3.57
$55.12 $71.39
$62.78
= P
0
DY
1
=
D
1
/ P
0
DY
1
=
$2.60
/
$62.78
DY
4
=
D
4
/ P
3
Now assume that Bo
n Temps’s div
idend is expected to grow 30% the first year, 20% the sec
ond year, 10% the
third year, and return to its long-run constant growt
h rate of 4%. What is the stock’s value under these
conditions? What are its expected div
idend and capital gains yields in Year 1? In Year 4?
<———–30%
———–20%———–10%
—>
What w
ould the stock price be if its dividends w
ere expected to have zero grow
th?
Now assume that t
he stock is currently se
lling at $40.00. What is its expected rate of return?
D
1
$2.08
PA
RT H
g
S, 1-3
0%
4%———————->
PV of D
n
$1.83
D
4
$1.54 $2.08
$32.12 $41.60
= HV
3
$37.19
= P
0
DY
1
=
D
1
/ P
0
DY
1
=
$2.00
/
$37.19
DY
1
=
5.38%
CGY
1
=
3.62%
DY
4
=
D
4
/ P
3
DY
4
=
$2.08
/
$41.60
DY
4
=
5.00%
CGY
4
=
4.00%
PA
RT I
g -4%
P
0
$14.77
P
0
= D
0
(1 + g)/(r
s
–
g)
Suppose Bon Temps is expected to experience zero grow
th during the first 3 years and then resume its steady-
state growth
of 4% in the fourth year. What would be its value th
en? What w
ould be its expected dividend and
capital gains yields in Year 1? In Year 4?
Finally, assume that Bon Temps’s earnings and dividends are expected to decline at a constant rate of 4% per
year, that is, g = -4%
. Why would anyone be willing t
o buy such a stock, and at what price should it sell? What
would be its div
idend and capital gains yields in each y
ear?
<——————–0%
——————–>
g
L, 4 ->
4%
PA
RT J
FCF
1
-$5
FCF
2
$10
WA
CC
7.0%
Year
0
1 2
3
4
FCF’s
-$5.00
$10.00 $20.00 $21.00
PV of FCF
n
-$4.67
FCF
4
$16.33 $21.00
857.11 $1,050.00
= HV
3
$877.50
MV of op
erations
Value of equity =
Firm Value
–
(Debt + PS)
Value of stock =
Equity Value /
# of shares
PA
RT K
Perpetual:
D
p
$5
P
p
$100
20-year maturity:
N
20
PV
$100
Suppose Bon Temps decided to issue preferred stock that w
ould pay an annual dividend of $5 and th
at the issue
price was $100 per share. What would be the sto
ck’s expected return? Would the expected rate of return be the
same if the preferred was a perpetual issue or if it had a 20-year maturity
?
Suppose Bon Temps embarked on an aggressive expansion t
hat requires additional capital. Management
decided to finance the expansion by borrowing $40 million and by halting div
idend payments to increase retained
earnings. Its WA
CC is now
7%, and the projected free cash flows for the next 3 years are -$5 million, $10
million,
and $20 million. A
fter Year 3, free cash flow is projected to grow
at a constant 5%. What is Bon Temp
s’s market
value of operations? If it h
as 10 million shares of stock, $40 million of debt and preferred stock combined, and $5
million of non-operating
assets, what is the price per share?
HV
3
=
FCF
3
$20