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CHAPTER
13
—
CASH F
LOW ESTIMATION
AND
RISK ANALYSIS
68.
DeVault Services recently hired
you
as
a consultant
to
help
with
its
capital budgeting process. The company
is
considering a new project who
se data are shown below. The equ
ipment that would
be
used has a 3-year tax
life, would
be
depreciated
by
the straight-line method over
its
3
-year life, and would have a zero
salvage value.
No
new work
ing capital
would
be
required. Revenues and ot
her operating costs are expected
to
be
constant over the project’s 3-year life. What
is
the project’s NPV?
Risk-adjusted WACC
10.0%
Net
investment cost (depreciable basis)
$65,000
Straight-line deprec. rate
33.3333%
Sales revenues,
each
year
$65,500
Operating costs (excl. deprec.),
each
year
$25,000
Tax rate
35.0%
a.
$15,740
b.
$16,569
c.
$17,441
d.
$18,359
e.
$19,325
e
1
Difficulty: Moderate
INTE.GENE.16.85 – LO:
13
-2
United States – BUSPROG: Analy
tic
United States –
OH
– Default
City – TBA
TYPE: Multiple Choice: Pro
blem
CHAPTER
13
—
CASH F
LOW ESTIMATION
AND
RISK ANALYSIS
69.
Kasper
Film
Co.
is
selling off some old equ
ipment
it
no
longer needs because
its
associated
project has come
to
an
end. The equipment originally
cost $22,500,
of
which
75%
has been depreciated. The
firm
can
sell the used equipment
today for $6,000, and
its
tax rate
is
40
%. What
is
the equipment’s after-tax salv
age value for use
in
a capital
budgeting
analysis? Note that
if
the equ
ipment’s final market value
is
less tha
n
its
book value, the
firm
will receive a
tax credit
as
a
result
of
the sale.
a.
$5,558
b.
$5,850
c.
$6,143
d.
$6,450
e.
$6,772
b
1
1
CHAPTER
13
—
CASH F
LOW ESTIMATION
AND
RISK ANALYSIS
70.
McPherson Company must purchase a new milling
machine. The purchase price
is
$5
0,000, including installation.
The machine has a tax
life
of
5 years, and
it
can
be
depreciated according
to
the follo
wing rates. The
firm
expects
to
operate the machine for 4
years and then
to
sell
it
for $12,500.
If
the marginal tax rate
is
40%, what will
the after-tax
salvage value
be
when the machine
is
sold
at
th
e end
of
Year
4?
Year
Depreciation Rate
1
0.20
2
0.32
3
0.19
4
0.12
5
0.11
6
0.06
a.
$8,878
b.
$9,345
c.
$9,837
d.
$10,355
e.
$10,900
e
1
answer.
CHAPTER
13
—
CASH F
LOW ESTIMATION
AND
RISK ANALYSIS
71.
Weston Clothing Company
is
considering manufacturin
g a new style
of
shirt, whose data a
re shown below. The
equipment
to
be
used would
be
depreciated
by
the straight-lin
e method over
its
3-year
life
and would
have a zero salvage
value, and
no
new working capital wou
ld
be
required. Revenues and other
operating costs are expected
to
be
constant
over
the project’s 3-year life. However, th
is project would compete with
other Weston’s products
and would reduce their pre-
tax annual
cash
flows.
What
is
the project’s NPV? (Hi
nt: Cash flows are constant
in
Years 1-3.)
WACC
10.0%
Pre-tax
cash
flow redu
ction for other products (cannibalization)
$5,000
Investment cost (depreciable
basis)
$80,000
Straight-line deprec. rate
33.333%
Sales revenues,
each
year f
or 3 years
$67,500
Annual operating costs (excl.
deprec.)
$25,000
Tax rate
35.0%
a.
$3,636
b.
$3,828
c.
$4,019
d.
$4,220
e.
$4,431
b
1
Difficulty: Challenging
INTE.GENE.16.85 – LO:
13
-2
United States – BUSPROG: Analy
tic
capital
United States –
OH
– Default
City – TBA
Salvage value
TYPE: Multiple Choice: Pro
blem
CHAPTER
13
—
CASH F
LOW ESTIMATION
AND
RISK ANALYSIS
72.
Century Roofing
is
thinking
of
opening a new warehouse,
and the key data are shown below. Th
e company owns the
building that would
be
used, and
it
could sell
it
for $100,000 after taxes
if
it
decides
not
to
open the new
warehouse. The
equipment for the project would
be
depreciated
by
the straight-line method ov
er the project’s 3-year life, after which
it
would
be
worth nothing and thus
it
would have a zero salvage value.
No
new working capital would
be
required,
and
revenues and other operating
costs would
be
constant over the project’s 3
-year life. What
is
the project’s NPV?
(Hint: Cash
flows are constant
in
Years
1-3.)
WACC
10.0%
Opportunity cost
$100,000
Net
equipment cost (dep
reciable basis)
$65,000
Straight-line deprec. rate for
equipment
33.333%
Sales revenues,
each
year
$123,000
Operating costs (excl. deprec.),
each
year
$25,000
Tax rate
35%
a.
$10,521
b.
$11,075
c.
$11,658
d.
$12,271
e.
$12,885
d
1
Difficulty: Moderate
INTE.GENE.16.85 – LO:
13
-2
United States – BUSPROG: Analy
tic
forecasting, and
cash
flows
United States –
OH
– Default
City – TBA
Project NPV
TYPE: Multiple Choice: Pro
blem
CHAPTER
13
—
CASH F
LOW ESTIMATION
AND
RISK ANALYSIS
73.
Garden-Grow Products
is
considering a new in
vestment whose data are shown
below. The equipment would
be
depreciated
on
a straight-line basis ov
er the project’s 3-year life, would
have a zero salvage value, and
would require some
additional working capital
that would
be
recovered
at
the end
of
the project’s life.
Revenues and other operating costs
are
expected
to
be
constant over the pr
oject’s life. What
is
the project’s NPV? (Hin
t: Cash flows are constant
in
Years 1
to
3.)
WACC
10.0%
Net
investment
in
fixed assets (basis)
$75,000
Required new working
capital
$15,000
Straight-line deprec. rate
33.333%
Sales revenues,
each
year
$75,000
Operating costs (excl. deprec.),
each
year
$25,000
Tax rate
35.0%
a.
$23,852
b.
$25,045
c.
$26,297
d.
$27,612
e.
$28,993
a
Investment
in
fixed assets
WACC =
10%
Investment
in
net
working
capital
Sales revenues
Operating income (EBIT)
Rate = 35%
After-tax
EBIT
+ Depreciation
1
Difficulty: Challenging
INTE.GENE.16.85 – LO:
13
-2
United States – BUSPROG: Analy
tic
forecasting, and
cash
flows
United States –
OH
– Default
City – TBA
forecasting, and
cash
flows
United States –
OH
– Default
City – TBA
Project NPV
TYPE: Multiple Choice: Pro
blem
CHAPTER
13
—
CASH F
LOW ESTIMATION
AND
RISK ANALYSIS
74.
Sheridan Films
is
considering some new equ
ipment whose data are shown
below. The equipment has a 3-year
tax
life
and would
be
fully depreciated
by
the straight-lin
e method over 3 years,
but
it
would have a positive
pre-tax salvage value
at
the end
of
Year
3,
when the project wou
ld
be
closed
down.
Also, some new working capital would
be
required,
but
it
would
be
recovered
at
the end
of
the project’s life. Revenues and other op
erating costs are expected
to
be
constant ov
er the
project’s 3-year life. What
is
the pr
oject’s NPV?
WACC
10.0%
Net
investment
in
fixed assets (depreciab
le basis)
$70,000
Required new working
capital
$10,000
Straight-line deprec. rate
33.333%
Sales revenues,
each
year
$75,000
Operating costs (excl. deprec.),
each
year
$30,000
Expected pretax salvage value
$5,000
Tax rate
35.0%
a.
$20,762
b.
$21,854
c.
$23,005
d.
$24,155
e.
$25,363
c
Investment
in
fixed assets
WACC =
10%
Investment
in
net
working
capital
Sales revenues
Operating income (EBIT)
Rate = 35%
After-tax
EBIT
Recovery
of
working capital
Salvage value, pre-tax
1
Difficulty: Challenging
INTE.GENE.16.85 – LO:
13
-2
United States – BUSPROG: Analy
tic
Project NPV
TYPE: Multiple Choice: Pro
blem
CHAPTER
13
—
CASH F
LOW ESTIMATION
AND
RISK ANALYSIS
75.
Shultz Business Systems
is
analyzing
an
average-risk project, and
the following data have been
developed. Unit sales
will
be
constant,
but
the sales price should increase wit
h inflation. Fixed costs will also
be
constant,
but
variable costs
should rise with inflatio
n. The project should last for 3 years,
it
will
be
depreciated
on
a straight-line basis, and th
ere will
be
no
salvage value. This
is
just
one
of
many projects for
the firm,
so
any losses
can
be
used
to
offset gains
on
other
firm
projects. What
is
the
pr
oject’s expected NPV?
WACC
10.0%
Net
investment cost (depreciable basis)
$200,000
Units sold
50,000
Average price per unit,
Year
1
$25.00
Fixed
op.
cost excl. deprec. (constant)
$150,000
Variable
op.
cost/unit,
Year
1
$20.20
Annual depreciation rate
33.333%
Expected inflation rate per year
5.00%
Tax rate
40.0%
a.
$15,925
b.
$16,764
c.
$17,646
d.
$18,528
e.
$19,455
c
Investment cost
WACC =
10%
Price per unit
Units sold
Sales revenues
Rate = 40%
After-tax
EBIT
1
Difficulty: Challenging
INTE.GENE.16.85 – LO:
13
-2
United States –
OH
– Default
City – TBA
Project NPV
TYPE: Multiple Choice: Pro
blem
CHAPTER
13
—
CASH F
LOW ESTIMATION
AND
RISK ANALYSIS
76.
Sylvester Media
is
analyzing
an
average-risk project, and the following
data have been developed.
Unit sales will
be
constant,
but
the sales price should
increase with inflation. Fixed
costs will also
be
constant, but variable costs shoul
d rise
with inflation. The project shoul
d last for 3 years,
it
will
be
depreciated
on
a straigh
t-line basis, and there will
be
no
salvage value. This
is
just
one
of
many projects for the firm,
so
any losses
can
be
used
to
offset gains on other
firm
projects. The marketing manager
does not think
it
is
necessary
to
adjust
for inflation since both the sales price and
the
variable costs will rise
at
the sa
me rate, but the CFO thinks
an
adjustment
is
required. What
is
the difference
in
the
ex
pected NPV
if
the inflatio
n adjustment
is
made vs.
if
it
is
not
made?
WACC
10.0%
Net
investment cost (depreciable basis)
$200,000
Units sold
50,000
Average price per unit,
Year
1
$25.00
Fixed
op.
cost excl. deprec. (constant)
$150,000
Variable
op.
cost/unit,
Year
1
$20.20
Annual depreciation rate
33.333%
Expected inflation
4.00%
Tax rate
35.0%
a.
$13,286
b.
$13,985
c.
$14,721
d.
$15,457
e.
$16,230
c
NPV with
no
adjustment
Investment cost
Inflation (set
to
0%)
Price per unit
Units sold
Sales revenues
United States – BUSPROG: Analy
tic
United States –
OH
– Default
City – TBA
NPV including inflation
TYPE: Multiple Choice: Pro
blem
CHAPTER
13
—
CASH F
LOW ESTIMATION
AND
RISK ANALYSIS
77.
Spot-Free Car Wash
is
considering
a new project whose data are sho
wn below. The equipment
to
be
used has a 3
-year
tax life, would
be
depreciated
on
a straight-lin
e basis over the project’s 3-year li
fe, and would have a zero salvag
e value
after Year
3.
No
new working
capital would
be
required. Revenues and other
operating costs will
be
constant over
the
project’s life, and this
is
just o
ne
of
the firm’s many
projects,
so
any losses
on
it
can
be
used
to
offset profits
in
other units.
If
the number
of
cars washed declined
by
40%
from the expected level,
by
how much wou
ld the project’s NPV decline?
(Hint: Note that
cash
flo
ws are constant
at
the
Year
1
level, whatever that level is.)
WACC
10.0%
Net
investment cost (depreciable basis)
$60,000
Number
of
cars washed
2,800
Average price per
car
$25.00
Fixed
op.
cost (excl. deprec.)
$10,000
Variable
op.
cost/unit (i.e.,
VC
per
car
washed)
$5.375
Annual depreciation
$20,000
Tax rate
35.0%
Difficulty: Challenging
INTE.GENE.16.85 – LO:
13
-2
United States –
OH
– Default
City – TBA
NPV including inflation
TYPE: Multiple Choice: Pro
blem
CHAPTER
13
—
CASH F
LOW ESTIMATION
AND
RISK ANALYSIS
a.
$28,939
b.
$30,462
c.
$32,066
d.
$33,753
e.
$35,530
e
Base Case Calculations
Investment cost
WACC: 10%
Cars washed
Price per car
Variable cost/unit
Sales revenues
Operating income (EBIT)
Rate = 35%
After-tax
EBIT
Base-Case NPV
Bad Case Calculations
Investment cost
Price per car
Variable cost/unit
Sales revenues
Operating income (EBIT)
After-tax
EBIT
Bad-Case NPV
Decline
in
NPV
CHAPTER
13
—
CASH F
LOW ESTIMATION
AND
RISK ANALYSIS
78.
Brandt Enterprises
is
considering a new project th
at has a cost
of
$1,000,000,
and the CFO
set
up
the following
simple
decision tree
to
show
its
three most likely
scenarios. The
firm
could arrang
e with
its
work force and sup
pliers
to
cease
operations
at
the end
of
Year
1 should
it
choose
to
do
so,
but
to
obtain this abandon
ment option,
it
would have
to
make a
payment
to
those parties. How much
is
the option
to
abandon
worth
to
the firm?
a.
$55.08
b.
$57.98
c.
$61.03
d.
$64.08
e.
$67.29
1
CHAPTER
13
—
CASH F
LOW ESTIMATION
AND
RISK ANALYSIS