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Subject
Finance
Date
Jan 9, 2024
Type
docx
Pages
13
Uploaded by sassycat8
1.
Computing
and
interpreting
the
degree
of
operating
leverage
(DOL)
It
is
December
31.
Last
year,
Carter
Chemical
Co.
had
sales
of
$8,000,000,
and
it
forecasts
that
next
year’s
sales
will
be
$7,600,000.
Its
fixed
costs
have been
and
are
expected
to
continue
to
be
$4,400,000,
and
its
variable
cost
ratio
is
12.50%.
Carter’s
capital
structure
consists
of
a
$13.5
million
bank
loan,
on
which
it
pays
an
interest
rate
of
9%,
and
250,000
shares
of
common
equity.
The
company’s
profits are
taxed
at
a
marginal
rate
of
40%.
Given
this
data,
complete
the
following
sentences:
«
The
percentage
change
in
the
company’s
sales
is
0%
V.
«
The
percentage
change
in
Carter’s
EBIT
is
~13.46%
¥
.
«
The
degree
of
operating
leverage
(DOL)
at
$8,000,000
is
2.69
V'
.
Points:
W
1/1
Explanation:
Close
Explanation
~
At
sales
of
$8,000,000,
with
an
expected decrease
to
$7,600,000,
Carter
Chemical
Co.
exhibits
a
degree
of
operating
leverage
(DOL)
of
2.69.
The
degree
of
operating
leverage
(DOL)
is
calculated
as
the
percentage
change
in
the
firm’s
EBIT
divided
by
its
corresponding
percentage
change
in
sales.
That
is:
Percentage
Chang
in
EBIT
Degree
of
operating
leverage
=
fecets
Chaneein
BT
To
calculate
the
component
parts
of
this
equation,
remember
that
Carter's
predicted
decrease
in
sales
from
$8,000,000
last
year
to
$7,600,000
next
year
corresponds
to
a
-5.00%
decrease
in
sales.
That
is:
[(Next
Yoars
Sals
-
Las
Yoar'sSales)]
Last
Year's
Sales
x100
187000000
$8,000,00)
95,000,000
B30
—5.00%
Percentage
Change
in
Sales
=
Based
on
these
sales
values,
the
firm's
corresponding
EBIT
values
and
the
year-to-year
percentage
change
in
EBIT
is:
Last
Year's
EBIT
=
Sales
-
Fixed
Costs
-
Variable Costs
=
$8,000,000
-
$4,400,000
-
$1,000,000
=
$2,600,000
Next
Year’s
EBIT
=
$7,600,000
-
$4,400,000
-
$950,000
=
$2,250,000
The
percentage
change
in
EBIT
is
calculated
as:
Percentage
Change
in
EBIT
—
(NextYers
ULt
Yo'
BOIT)
¢
199
Percentage
Change
in
EBIT
=
20
4100
=
—13.46%
Now
use
these
values
to
calculate
the
firm’s
DOI
13.6%
DOL
=
2%
—
260
A
second
equation
can
also
be
used
to
calculate
the
firm's
DOL.
This
method
relates
the
firm’s
contribution
margin,
or
the
difference
between
its
sales
and
its
variable
costs,
to
the
firm's
eamings.
Therefore,
at
sales
of
$8,000,000,
with
an
expected
decrease
to
$7,600,000,
the
a
degree
of
operating
leverage
(DOL)
can
be
calculated
as:
A
second
equation
can
also
be
used
to
calculate
the
firm's
DOL.
This
method
relates
the
firm's
contribution
margin,
or
the
difference
between
its
sales
and
its
variable
costs,
to
the
firm's
eamings.
Therefore,
at
sales
of
$8,000,000,
with
an
expected decrease
to
$7,600,000,
the
a
degree
of
operating
leverage
(DOL)
can
be
calculated
as:
(Salls_
Vasiablo
Costs)
Degree
of
operating
leverage
—
==
Using
this
method,
the
firm’s
DOL
would
be:
DOL
/58900000
(85000
000x1250%))
'$2,250,000
=
=D
There
are
several
ways
to
use
and
interpret
a
firm's
DOL
value.
Consider
the
following
statement
and
indicate
whether
it
accurately
reflects
the
meaning
or
an
appropriate
use
of
a
firm's
DOL
value.
Activities
that
change
the
distribution
of
a
firm’s
fixed
and
variable
cost
structures,
such
as
outsourcing,
will
affect
a
firm’s
DOL.
True
or
False:
This
statement
accurately
describes
a
firm’s
DOL.
v
©
True
O
False
Points:
M
1/1
Explanation
Close
Explanation
~
Activities
that
change
the
amount
and
type
of
fixed
and
variable
costs,
such
s
the
decision
to
switch
from
self-manufactured
to
outsourced
production processes,
will
have
a
significant
effect
on
the
firm's
DOL.
When
a
firm
outsources
its
production
process,
it
can
reduce
its
fixed
operating
costs,
which
will
reduce
its
DOL.
2.
The
computation
and
interpretation
of
the
degree
of
financial
leverage
(DFL)
It
is
December
31.
Last
year,
Campbell
Construction
had
sales
of
$80,000,000,
and
it
forecasts
that
next
year’s
sales
will
be
$72,000,000.
Its
fixed
costs
have
been—and
are
expected
to
continue
to
be—$32,000,000,
and
its
variable
cost
ratio
is
11.00%.
Campbell’s
capital
structure
consists
of
a
$15
million
bank
loan,
on
which
it
pays
an
interest
rate
of
8%,
and
750,000
shares
of
common
equity.
The
company’s
profits
are
taxed
at
a
marginal
rate
of
40%.
Given
this
data,
complete
the
following
sentences:
Note:
Round
intermediate
calculations
to
two
decimal
places.
«
The
company’s
percentage
change
in
EBIT
is
~18.16%
v
.
«
The
percentage
change
in
Campbell’s
earnings
per
share
(EPS)
is
-18.75%
V
.
«
The
degree
of
financial
leverage
(DFL)
at
$80,000,000
is
1.88
X
.
Points:
NN
0.67
/1
Explanation:
Close
Explanation
~
At
sales
of
$72,000,000,
Campbell
Construction
exhibits
a
degree
of
financial
leverage
(DFL)
of
1.03.
Campbell’s
decrease
in
sales
from
last
year's
$80,000,000
to
$72,000,000
next
year
corresponds
to
a
-10.00%
decrease
in
sales,
which
results
in
a
-18.16%
change
in
EBIT
and
a
-18.75%
change
in
EPS.
The
degree
of
financial
leverage
(DFL)
is
calculated
as
the
percentage
change
in
the
firm's
EPS
divided
by
its
corresponding
percentage
change
in
EBIT.
That
is:
Degree
of
Financial
Leverage
(DFL)
—
M
The
firm’s
corresponding
EPS and
EBIT
values
and
the
year-to-year
percentage
changes
in
EPS and
EBIT
is:
Earnings
per
Share
(EPS)
=
g
tetheome
The
percentage
change
in
EPS
is
calculated
as:
22,500,000
Last
Year's
EPS
=
Sms000
=
$30.40
s
750,000
shares.
Next
Year’s
EPS
=
=
$24.70
Percentage
Change
in
EPS
—
[(Next
Year's
EPS
-
Last
Years
EPS)
/
Last
Year's
EPS]
x
100
=
(Pl
x
100
=
—18.75%
The
firm’s
corresponding
EBIT
values and
the
year-to-year
percentage
change
in
EBIT
are:
The
firm's
corresponding
EBIT
values
and
the
year-to-year
percentage
change
in
EBIT
are:
EBIT
=
Sales
-
Fixed
Costs
-
Variable
Costs
Last
Year’s
EBIT
=
$80,000,000
—
$32,000,000
—
$8,800,000
=
$39,200,000
Next
Year’s
EBIT
=
$72,000,000
—
$32,000,000
—
$7,920,000
=
$32,080,000
Percentage
Change
in
EBIT
—
[(Next
Years EOIT-
Lust
Years
EBIT
)
.
1)
Then,
the
degree
of
financial
leverage
(DFL)
is
calculated
as
the
percentage
change
in
the
firm's
EPS
divided
by
its
corresponding
percentage
change
in
EBIT.
That
S
s.13%
Degree
of
Financial
Leverage
(DFL)
=
—27%
=
103
The
following
are
the
two
principal
equations
that
can
be
used
to
calculate
a
firm's
DFL
value:
DFL
(at
EBIT
=
§X)
=
omcentase
Chango
m
EPS
c“"’g'“;":;fr
DFL
(at
EBIT
=
$X)
=
EBIT
TEBIT
Tnterest
~
[Preferred
Dividends
/
(1~
Tax
Rate)]]
Consider
the
following
statement
about
DFL,
and
indicate
whether
or
not
it
is
correct.
Assume
that
a
firm's
fixed
capital
costs
remain
constant
across
a
range
of
operating
profit
(EBIT)
values.
The
firm’s
DFL
will
vary across
the
range
of
EBIT
values.
O
True
X
©
False
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CCC currently has sales of $28,000,000 and projects sales of $39,200,000 for next year. The firm's current assets equal $9,000,000 while its fixed assets are $8,000,000. The best estimate is that current assets will rise directly with sales while fixed assets will rise by $500,000. The firm presently has $3,600,000 in accounts payable, $1,800,000 in long-term debt, and $11,600,000 in common equity. All current liabilities are expected to change directly with sales. CCC plans to pay $1,000,000 in dividends next year and has a 5.0% net profit margin. Assuming the increase in fixed assets will occur, what is the most sales could equal next year without using discretionary sources of funds? (Round your answer to the nearest dollar.)
$30,330,300
$27,300,000
$33,619,950
$24,103,170
$25,721,514
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The current income for a subunit is P36,000. Its current invested capital is P200,000. The subunit is considering purchasing for P20,000 equipment that will increase annual income by an estimated P2,800. The firm's cost of capital is 12%. If the equipment is purchased, the residual income of the subunit will
a. increase by 4%
b. increase by P400
c. increase by P16,000
d. increase by P2,800
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A project currently generates sales of $14 million, variable costs equal 50% of sales, and fixed costs are $28 million. The firm's tax rate
is 40%. Assume all sales and expenses are cash items.
a. What are the effects on cash flow, if sales increase from $14 million to $15.4 million? (Input the amount as positive value. Enter your
answer In dollars not In mllons.)
Cash flow
increases
by s
420,000
b. What are the effects on cash flow, if variable costs increase to 60% of sales? (Input the amount as positive value. Enter your
answer In dollars not In mlllons.)
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2. Calculating Project NPV The Fleming Company is considering a new investment. Financial projections for the
investment are tabulated below. The corporate tax rate is 22 percent. Assume all sales revenue is received in cash, all
operating costs and income taxes are paid in cash, and all cash flows occur at the end of the year. All net working
capital is recovered at the end of the project.
Investment
Sales revenue
Operating costs
Depreciation
Net working capital spending
Year 0
$32,800
450
Year 1 Year 2 Year 3 Year 4
$14,200
2,100
8,200
175
$15,900
$15,700
2,100 2,100
8,200
8,200
250
275
$12,900
2,100
8,200
?
a. Compute the incremental net income of the investment for each year.
b. Compute the incremental cash flows of the investment for each year.
c. Suppose the appropriate discount rate is 12 percent. What is the NPV of the project?
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am. 152.
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Robust Ventures is planning to expand its production operation. It has identified three
different technologies for meeting the goal. The initial investment and annual revenues
with respect to each of the technologies are summarized in table below.
Initial
Investment
Annual
Revenue
Life
(years)
(Php)
(Php)
Technology X
1,200,000
400,000
10
Technology Y
2,000,000
600,000
10
Technology Z
1,800,000
500,000
10
Assuming 20% interest rate, compounded annually, find the future worth of
Technology Y.
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