54. (Ignore income taxes in this problem.) Trovato
Corporation is considering a project that would require an investment of
$48,000. No other cash outflows would be involved. The present value of the
cash inflows would be $51,840. The profitability index of the project is
closest to:
A) 0.07
B) 0.08
C) 0.92
D) 1.08
Ans: B AACSB: Analytic
AICPA BB: Critical Thinking AICPA FN: Reporting LO: 4 Level: Easy
Solution:
|
Project Q
|
Investment
required (a)........................
|
($48,000)
|
Present
value of cash inflows...............
|
51,840
|
Net
present value (b)............................
|
$ 3,840
|
Project
profitability index (b) ÷ (a)......
|
0.08
|
55. (Ignore
income taxes in this problem.) Ryner Corporation is considering three
investment projects-S, T, and U. Project S would require an investment of
$20,000, Project T of $69,000, and Project U of $83,000. No other cash outflows
would be involved. The present value of the cash inflows would be $23,200 for
Project S, $77,970 for Project T, and $94,620 for Project U. Rank the projects
according to the profitability index, from most profitable to least profitable.
A) U,T,S
B) T,S,U
C) U,S,T
D) S,U,T
Ans: D AACSB: Analytic
AICPA BB: Critical Thinking AICPA FN: Reporting LO: 4 Level: Easy
Solution:
|
Project
S
|
Project
T
|
Project
U
|
Investment required (a)........................
|
($20,000)
|
($69,000)
|
($83,000)
|
Present value of cash inflows...............
|
23,200
|
77,970
|
94,620
|
Net present value (b)............................
|
$ 3,200
|
$ 8,970
|
$11,620
|
Project profitability index (b) ÷ (a)......
|
0.16
|
0.13
|
0.14
|
Ranked by project profitability index..
|
1
|
3
|
2
|
56. (Ignore
income taxes in this problem.) The management of Leitheiser Corporation is
considering a project that would require an initial investment of $51,000. No
other cash outflows would be required. The present value of the cash inflows
would be $57,630. The profitability index of the project is closest to:
A) 1.13
B) 0.87
C) 0.13
D) 0.12
Ans: C AACSB: Analytic
AICPA BB: Critical Thinking AICPA FN: Reporting LO: 4 Level: Easy
Solution:
|
Project Q
|
Investment
required (a)........................
|
($51,000)
|
Present
value of cash inflows...............
|
57,630
|
Net
present value (b)............................
|
$ 6,630
|
Project
profitability index (b) ÷ (a)......
|
0.13
|
57. (Ignore
income taxes in this problem.) Olinick Corporation is considering a project
that would require an investment of $343,000 and would last for 8 years. The
incremental annual revenues and expenses generated by the project during those
8 years would be as follows:
|
Sales...................................
|
$227,000
|
|
Variable expenses..............
|
52,000
|
|
Contribution margin..........
|
175,000
|
|
Fixed expenses:
|
|
|
Salaries...........................
|
27,000
|
|
Rents...............................
|
41,000
|
|
Depreciation...................
|
40,000
|
|
Total fixed expenses..........
|
108,000
|
|
Net operating income........
|
$ 67,000
|
The scrap value of the project's
assets at the end of the project would be $23,000. The payback period of the
project is closest to:
A) 3.0
years
B) 5.1
years
C) 3.2
years
D) 4.8
years
Ans: C AACSB: Analytic
AICPA BB: Critical Thinking AICPA FN: Reporting LO: 5 Level: Easy
Solution:
Net annual cash flow = Net operating
income + Depreciation
= $67,000 + $40,000 = $107,000
Payback period = Investment required
÷ Net annual cash flow
= $343,000 ÷ $107,000 = 3.2 years
In this case the salvage value plays
no part in the payback period since all of the investment is recovered before
the end of the project.
58. (Ignore
income taxes in this problem.) The management of Lanzilotta Corporation is
considering a project that would require an investment of $263,000 and would
last for 8 years. The annual net operating income from the project would be
$66,000, which includes depreciation of $31,000. The scrap value of the
project's assets at the end of the project would be $15,000. The payback period
of the project is closest to:
A) 3.8
years
B) 2.6
years
C) 2.7
years
D) 4.0
years
Ans: C AACSB: Analytic
AICPA BB: Critical Thinking AICPA FN: Reporting LO: 5 Level: Easy
Solution:
Net annual cash flow = Net operating
income + Depreciation
= $66,000 + $31,000 = $97,000
Payback period = Investment required
÷ Net annual cash flow
= $263,000 ÷ $97,000 = 2.7 years
In this case the salvage value plays
no part in the payback period since all of the investment is recovered before
the end of the project.
59. (Ignore
income taxes in this problem.) Slomkowski Corporation is contemplating
purchasing equipment that would increase sales revenues by $298,000 per year
and cash operating expenses by $143,000 per year. The equipment would cost
$712,000 and have a 8 year life with no salvage value. The annual depreciation
would be $89,000. The simple rate of return on the investment is closest to:
A) 9.3%
B) 21.8%
C) 22.1%
D) 12.5%
Ans: A AACSB: Analytic
AICPA BB: Critical Thinking AICPA FN: Reporting LO: 6 Level: Easy
Solution:
The simple
rate of return is computed as follows:
|
Cost of machine, net of salvage value (a)..........
|
$712,000
|
|
Useful life (b).....................................................
|
8
years
|
|
Annual depreciation (a) ÷ (b).............................
|
$89,000
|
|
|
|
|
Annual incremental revenue ($298,000 − $143,000)........................................................
|
$155,000
|
|
Less annual depreciation....................................
|
89,000
|
|
Annual incremental net operating income.........
|
$ 66,000
|
Simple rate of return = Annual
incremental net operating income ÷ Initial investment = $66,000 ÷ $712,000 = 9.3%
60. (Ignore
income taxes in this problem.) The management of Plotnik Corporation is
investigating purchasing equipment that would increase sales revenues by
$269,000 per year and cash operating expenses by $156,000 per year. The
equipment would cost $294,000 and have a 6 year life with no salvage value. The
simple rate of return on the investment is closest to:
A) 16.7%
B) 38.4%
C) 23.8%
D) 21.8%
Ans: D AACSB: Analytic
AICPA BB: Critical Thinking AICPA FN: Reporting LO: 6 Level: Easy
Solution:
The simple
rate of return is computed as follows:
|
Cost of machine, net of salvage value (a).........................
|
$294,000
|
|
Useful life (b)....................................................................
|
6
years
|
|
Annual depreciation (a) ÷ (b)............................................
|
$49,000
|
|
|
|
|
Annual incremental revenue ($269,000 − $156,000)........
|
$113,000
|
|
Less annual depreciation...................................................
|
49,000
|
|
Annual incremental net operating income........................
|
$ 64,000
|
Simple rate of return = Annual
incremental net operating income ÷ Initial investment = $64,000 ÷ $294,000 =
21.8%
61. (Ignore
income taxes in this problem.) An expansion at Fey, Inc., would increase sales
revenues by $150,000 per year and cash operating expenses by $47,000 per year.
The initial investment would be for equipment that would cost $328,000 and have
a 8 year life with no salvage value. The annual depreciation on the equipment
would be $41,000. The simple rate of return on the investment is closest to:
A) 41.3%
B) 18.9%
C) 12.5%
D) 31.4%
Ans: B AACSB: Analytic
AICPA BB: Critical Thinking AICPA FN: Reporting LO: 6 Level: Easy
Solution:
The simple
rate of return is computed as follows:
|
Annual incremental revenue ($150,000 − $47,000)............
|
$103,000
|
|
Less annual depreciation......................................................
|
41,000
|
|
Annual incremental net operating income...........................
|
$ 62,000
|
Simple rate of return = Annual
incremental net operating income ÷ Initial investment = $62,000 ÷ $328,000 =
18.9%
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