Universal Corp. is reviewing a capital budgeting decision regarding the acquisition of a capital equipment. Below
are the relevant information:
Investment P300,000
PV of net cash inflows 200,000
Cash-flow tax shield from depreciation 100,000
The company is used to have as benchmark for similar projects an excess present value index of 0.50, that is, the
project’s index should be no less than 0.50. Should this project be pursued? (M)
a. No, since the excess present value index is 0.33
b. Yes, since the excess present value index is 0.67
c. No, since the excess present value index is less than 0.50
d. Yes, since the excess present value index is 1.50 RPCPA 0597
*. A tax-exempt foundation, Sincerely Foundation, Inc. intends to invest P1 million in a five-year project. The
foundation estimates that the annual savings from the project will amount to P325,000. The P1 million asset is
depreciable over five (5) years on a straight-line basis. The foundation’s hurdle rate is 12% and as a consultant of
the foundation, you are asked to determine the internal rate of return and advise if the project should be pursued.
To facilitate computations, below are present value factors:
N=5 12% 14% 16%
Present value of P1 0.57 0.52 0.48
Present value of an annuity of P1 3.60 3.40 3.30
Your advice is (M)
a. To proceed due to an estimated IRR of less than 14% but not more than 12%.
b. To proceed due to an estimated IRR of less than 16% but not more than 14%.
c. Not to proceed due to an estimated IRR of less than 12%.
d. To proceed due to an estimated IRR of more than 16%. RPCPA 1095
Unlimited Capital
*. SB Co. uses a 12% hurdle rate for all capital expenditures. It has lined up four projects and below is the summary
thereof.
In Thousand Pesos
Project 1 Project 2 Project 3 Project 4
Initial cash outflow 400 596 496 544
Annual cash inflow
Year 1 130 200 160 190
2 140 270 190 250
3 160 180 180 180
4 80 130 160 120
Net present value (7.500) 8.552 28.128 29.324
Profitability Index 98% 101% 106% 105%
Internal rate of return 11% 13% 14% 15%
If the company has no budgetary limitations, which projects should be pursued? (E)
a. Project 1. c. Projects 2, 3 and 4.
b. Projects 3 and 4. d. All the four projects. RPCPA 1096
*. The following data relate to two capital-budgeting projects of equal risk:
Present Value of Cash Flows
Period Project A Project B
0 $(10,000) $(30,000)
1 4,550 13,650
2 4,150 12,450
3 3,750 11,250
Which of the projects will be selected using the profitability index (PI) approach and the NPV approach?
CIA 0586 IV-33 a. b. c. d.
PI B Either Either B
NPV A B A B
RANKING OF INVESTMENT ALTERNATIVES AND PROJECT SELECTION
Capital Budget
120
. A company’s marginal cost of new capital (MCC) is 10% up to $600,000. MCC increases .5% for the next $400,000
and another .5% thereafter. Several proposed capital projects are under consideration, with projected cost and
internal rates of return (IRR) as follows:
Project Cost IRR
A $100,000 10.5%
B $300,000 14.0%
C $450,000 10.8%
D $350,000 13.5%
E $400,000 12.0%
What should the company’s capital budget be?
A. $0 C. $1,500,000
B. $1,050,000 D. $1,600,000 CIA 0589 IV-55
Mutually Exclusive
- Which of the following results of the net present value method in capital budgeting is the LEAST acceptable? (E)
a. $(10,000) c. $(18,000)
b. $(7,000) d. $0 Horngren - The projects have the following NPVs and project lives.
Project NPV Life
Project A $5,000 4 years
Project B $7,000 7 years
If the cost of capital is 12%, which project would you accept?
A. A C. Both A and B
B. B D. Reject both A and B B & M - A firm is considering two mutually exclusive projects with the following cash flows:
Project A Project B
Year 1 $20,000 $60,000
Year 2 $40,000 $40,000
Year 3 $60,000 $20,000
Each project requires an investment of $50,000. The cost of capital is 10 percent.
Which project will have the higher net present value?
a. Project A
b. Project B
c. Project A and Project B will have the same net present value. H & M
d. It is not possible to answer the question based upon the information provided.
121
. If the investment projects listed below are mutually exclusive, which alternative should be accepted?
Project A B C D
NPV $100,000 ($20,000) $60,000 $30,000
A. Project A. C. Projects A and C.
B. Project B. D. Projects A, C, and D. CIA 0595 IV-38
122
. Five mutually exclusive projects had the following information:
A B C D E
NPV $500 $(200) $100 $200 $1,000
IRR 12% 8% 11% 13% 10%
Which project is preferred? (M)
a. A d. D
b. B e. E
c. C H & M
123
. Five mutually exclusive projects had the following information:
V W X Y Z
Which project is preferred?
a. V d. Y
b. W e. Z
c. X H & M
124
. As the director of capital budgeting for Denver Corporation, you are evaluating two mutually exclusive projects with
the following net cash flows:
Year Project X Cash Flow Project Z Cash Flow
0 -$100,000 -$100,000
1 50,000 10,000
2 40,000 30,000
3 30,000 40,000
4 10,000 60,000
If Denver’s cost of capital is 15 percent, which project would you choose? (E)
a. Neither project. d. Project X, since it has the higher NPV.
b. Project X, since it has the higher IRR. e. Project Z, since it has the higher IRR.
c. Project Z, since it has the higher NPV. Brigham
125
. Two projects being considered are mutually exclusive and have the following projected cash flows:
Year Project A Cash Flow Project B Cash Flow
0 -$50,000 -$50,000
1 15,625 0
2 15,625 0
3 15,625 0
4 15,625 0
5 15,625 99,500
If the required rate of return on these projects is 10 percent, which would be chosen and why? (E)
a. Project B because it has the higher NPV.
b. Project B because it has the higher IRR.
c. Project A because it has the higher NPV.
d. Project A because it has the higher IRR.
e. Neither, because both have IRRs less than the cost of capital. Brigham
*. Each of three mutually exclusive projects costs $200. Using the table provided, rank the projects in descending
NPV order. (M)
Present Value
Interest Factor
(10%)
Project’s Cash Flow
Year A B C
1 .91 $300 $200 $ 0
2 .83 200 100 100
3 .75 100 0 100
4 .68 0 100 200
5 .62 0 200 300
a. A, B, C. c. C, B, A.
b. B, A, C. d. A, C, B. CIA 0585 IV-33
Questions 55 and 56 are based on the following information. CMA 1291 4-8 & 9
Mercken Industries is contemplating four projects, Project P, Project Q, Project R, and Project S. The capital costs and
estimated after-tax net cash flows of each mutually exclusive project are listed below. Mercken’s desired after-tax
opportunity cost is 12%, and the company has a capital budget for the year of $450,000. Idle funds cannot be reinvested
at greater than 12%.
Project P Project Q Project R Project S
Initial cost $200,000 $235,000 $190,000 $210,000
Annual cash flows
Year 1 $93,000 $90,000 $45,000 $40,000
Year 2 93,000 85,000 55,000 50,000
Year 3 93,000 75,000 65,000 60,000
Year 4 -0- 55,000 70,000 65,000
Year 5 -0- 50,000 75,000 75,000
Net present value $23,370 $29,827 $27,333 $(7,854)
Internal rate of return 18.7% 17.6% 17.2% 10.6%
Excess present value index 1.12 1.13 1.14 .96
126
. During this year, Mercken will choose
A. Projects P, Q, and R. C. Projects Q and R.
B. Projects P, Q, R, and S. D. Projects P and Q.
127
. If Mercken is able to accept only one project, the company would choose
A. Project P.
B. Project Q because it has the highest net present value.
C. Project P because it has the highest internal rate of return.
D. Project P because it has the shortest payback period.
*. A capital budgeting decision model has provided the following information:
Proposal A Proposal B
Investment P1,000,000 P1,800,000
Profitability Index 1.2 2.1
Net present Value P600,000 P300,000
The best project is(situation is impossible)
a. Proposal A because it has the highest present value.
b. Proposal B because it has the highest profitability index.
c. Proposal B because its profitability index is over 2.0
d. Proposal A because it has the highest net present value even though its investment base in smaller.
RPCPA 0595
Excess Present Value Index
*. Telephone Corp. is contemplating four projects: L, M, N, and O. The capital costs for the initiation of each mutuallyexclusive project and its estimated after-tax, net cash flow are listed below. The company’s desired after-tax
opportunity costs is 12%. It has P900,000 capital budget for the year. Idle funds cannot be reinvested at greater
than 12%.
In Thousand Pesos
L M N O
Initial cost 400 470 380 420
Annual cash flows
Year 1 113 180 90 80
2 113 170 110 100
3 113 150 130 120
4 113 110 140 130
5 113 100 150 150
Net present value P7,540 P59,654 P54,666 P(15,708)
Internal rate of return 12.7% 17.6% 17.2% 10.6%
Excess present value index 1.02 1.13 1.14 0.96
The company will choose (E)
a. Projects M, N and O. c. Projects L and N.
b. Projects M and N. d. Projects L and M. RPCPA 0595
EAC - Two machines, A and B, which perform the same functions, have the following costs and lives.
Type PV Costs Life
Machine A $6000 5
Machine B $8000 7
Which machine would you choose? The two machines are mutually exclusive and the cost of capital is 15%.
A. Machine A as the EAC is $1789.89 C. Don’t buy either machine
B. Machine B as the EAC is $1922.88 B & M
Internal Rate of Return
Mutually exclusive projects
Internal Rate of Return
128
. Two projects being considered by a firm are mutually exclusive and have the following projected cash flows:
Year Project A Cash Flow Project B Cash Flow
0 ($100,000) ($100,000)
1 39,500 0
2 39,500 0
3 39,500 133,000
Based only on the information given, which of the two projects would be preferred, and why? (M)
a. Project A, because it has a shorter payback period.
b. Project B, because it has a higher IRR.
c. Indifferent, because the projects have equal IRRs.
d. Include both in the capital budget, since the sum of the cash inflows exceeds the initial investment in both
cases.
e. Choose neither, since their NPVs are negative. Brigham
Payback Period
Questions 18 & 19 are based on the following information. Gitman
A firm is evaluating two projects that are mutually exclusive with initial investments and cash flows as follows:
Project: A Project: B
Initial
Investment
End-of-Year
Cash Flows
Initial
Investment
End-of-Year
Cash Flows
$40,000 $20,000 $90,000 $40,000
20,000 40,000
20,000 80,000 - If the firm in Figure 901 has a required payback of two (2) years, they should
A. accept projects A and B. C. reject project A and accept B.
B. accept project A and reject B. D. reject both. - The new financial analyst does not like the payback approach and determines that the firm’s required rate of return
is 15%. His recommendation would be to
A. accept projects A and B. C. reject project A and accept B.
B. accept project A and reject B. D. reject both.
Replacement Chain - OM Construction Company must choose between two types of cranes. Crane A costs $600,000, will last for 5
years, and will require $60,000 in maintenance each year. Crane B costs $750,000 and will last for seven years.
Maintenance costs for crane B are incurred at the end of each year. The appropriate discount rate is 12% per year.
Which machine should OM Construction purchase?
A. Crane A as EAC is $226,444
B. Crane B as EAC is $194,336
C. Crane A as the PV is $816,286
D. Cannot be calculated as the revenues for the project are not given B & M
129
. Borden Books is interested in purchasing a computer system to use for the next 10 years. Currently, Borden is
considering two mutually exclusive systems, System S and System L.
System S has an up-front cost of $3 million at t = 0 and will produce positive cash flows of $2.5 million per year for
two years (at t = 1 and 2). This system can be repeated forever. In other words, every two years the company can
repurchase the system under exactly the same terms.
System L has an up-front cost of $5 million at t = 0 and will produce positive cash flows of $2 million per year for five
years (at t = 1, 2, 3, 4, and 5). This system can be replaced at a cost of $4 million at t = 5, after which time it will
produce positive cash flows of $1.5 million per year for the subsequent five years (at t = 6, 7, 8, 9, and 10).
Borden’s CFO has determined that the company’s WACC is 12 percent. Over a 10-year extended basis, which
system is the better system and what is its NPV? (M)
a. System L; $2.21 million d. System L; $4.41 million
b. System L; $3.01 million e. System S; $6.13 million
c. System S; $4.10 million Brigham
Capital Rationing
Net Present Value
*. The Nativity Corporation has the following investment opportunities:
Proposal Profitability Index Initial Cash Outlay
1 1.15 P200,000
2 1.13 125,000
3 1.11 175,000
4 1.08 150,000
The firm has a budget constraint of P300,000.
What proposal(s) should be accepted? (D)
a. Proposal 1 because it has the highest profitability index.
b. Proposal 4 because it has the lowest profitability index.
c. Proposals 2 and 3 because their total net present values are the highest among all possible proposal
combinations.
d. Proposals 1 and 2 because their total net present values are the highest among all possible proposal
combinations. RPCPA 0579 - The following table gives the available projects for a firm.
A B C D E F G
90 20 60 50 150 40 20 Initial investment
140 70 65 -10 30 32 10 NPV
If the firm has a limit of 200 million to invest, what is the maximum NPV the company can obtain? (M)
A. 200 C. 283
B. 243 D. None of the above B & M - The following table gives the available projects for a firm.
A B C D E F G
5.0 4.0 5.0 1.0 2.0 7.0 8.0 Initial investment
1.5 -0.5 1.0 0.5 0.5 1.0 1.0 NPV
The firm has only twenty million to invest. What is the maximum NPV that the company can obtain? (M)
A. 3.5 C. 4.0
B. 4.5 D. None of the above B & M
Profitability Index
*. Information on three (E) investment projects is given below:
Project Investment Required Net Present Value
X P150,000 P34,005
G 100,000 22,670
W 60,000 13,602
Rank the projects in terms of preference: (M)
a. 1st W; 2nd G; 3rd X. c. 1st X; 2nd G; 3rd W.
b. 1st G; 2nd W; 3rd X. d. The ranking is the same. RPCPA 1097 - Perkins Company is considering several investment proposals, as shown below:
Investment Proposal
A B C D
Investment required $80,000 $100,000 $60,000 $75,000
Present value of future net cash flows 96,000 150,000 84,000 120,000
Rank the proposals in terms of preference using the profitability index: (E)
a. D, B, C, A. c. B, D, A, C.
b. B, D, C, A. d. A, C, B, D. G & N 9e - Information on four investment proposals is given below:
Proposal Investment Net Present Value
1 $50,000 $30,000
2 60,000 24,000
3 30,000 15,000
4 45,000 9,000
Rank the proposals in terms of preference according to the profitability index: (E)
a. 3, 4, 1, 2. c. 1, 3, 2, 4.
b. 1, 2, 3, 4. d. 2, 1, 4, 3. G & N 9e
*. The Sarmiento Company has the following investment opportunities:
Proposal Profitability Index Initial Cash Outlay
1 1.25 P400,000
2 1.19 100,000
3 1.16 175,000
4 1.14 125,000
5 1.09 200,000
6 1.05 100,000
7 0.97 150,000
If the budget ceiling for initial outlays during the present period was P1,000,000 and the proposals were
independent of each other, the Company should engage in proposal(s) (E)
a. Proposal 1 to 6 because their profitability indeces are all greater than 1.
b. Proposal 7 because its profitability index is less than 1.
c. Proposal 1 to 5 because their profitability indeces are greater. RPCPA 0579
d. Proposals 1, 3, 4, 5 and 6 because their profitability indeces are greater than 1.
Questions 26 and 27 are based on the following information. CIA 1196 IV-40 & 41
Investment Project Cash Outlay Present Value of Cash Inflows
A $1,100,000 $ 980,000
B 250,000 600,000
C 1,400,000 1,830,000
D 650,000 790,000
The company has $2 million of financing available for new investment projects.
130
. The investment project with the highest profitability index is
A. Project A. C. Project C.
B. Project B. D. Project D.
131
. If only one project may be selected, which should the company undertake?
A. Project A. C. Project C.
B. Project B. D. Project D.
Net Present Value & Internal Rate of Return
Questions 20 & 21 are based on the following information. Gitman
A firm must choose from six capital budgeting proposals outlined below. The firm is subject to capital rationing and has a
capital budget of $1,000,000; the firm’s cost of capital is 15 percent.
Project Initial Investment IRR NPV
1 $200,000 19% $100,000
2 400,000 17 20,000
3 250,000 16 60,000
4 200,000 12 5,000
5 150,000 20 50,000
6 400,000 15 150,000 - Using the internal rate of return approach to ranking projects, which projects should the firm accept?
A. 1, 2, 3, 4, and 5 C. 2, 3, 4, and 6
B. 1, 2, 3, and 5 D. 1, 3, 4, and 6 - Using the net present value approach to ranking projects, which projects should the firm accept?
A. 1, 2, 3, 4, and 5 C. 2, 3, 4, and 5
B. 1, 2, 3, 5, and 6 D. 1, 3, 5, and 6
Comprehensive - Investors, Inc. uses a 12% hurdle rate for all capital expenditures and has done the following analysis for four
projects for the upcoming year:
Project 1 Project 2 Project 3 Project 4
Initial cash outlay P200,000 P298,000 P248,000 P272,000
Annual net cash inflows
Year 1 P 65,000 P100,000 P 80,000 P 95,000
Year 2 70,000 135,000 95,000 125,000
Year 3 80,000 90,000 90,000 90,000
Year 4 40,000 65,000 80,000 60,000
Net present value ( 3,798) 4,276 14,064 14,662
Profitability index 98% 101% 106% 105%
Internal rate of return 11% 13% 14% 15%
Which project(s) should Investors, Inc. select during the upcoming year under each budgeted amount of funds? Pol
Bobadilla
No Budget Restriction P600,000 Available Funds P300,000 Available Funds
a. Projects 2,3, & 4 Projects 3 & 4 Project 3
b. Projects 1, 2, & 3 Projects 2, 3 & 4 Projects 3 & 4
c. Projects 1, 3, & 4 Projects 2 & 3 Project 2
d. Projects 3 & 4 Projects 2 & 4 Projects 2 & 4
Questions 63 through 65 are based on the following information. Gleim
Maloney Company uses a 12% hurdle rate for all capital expenditures and has done the following analysis for four
projects for the upcoming year:
Project 1 Project 2 Project 3 Project 4
Initial outlay $4,960,000 $5,440,000 $4,000,000 $5,960,000
Annual net cash inflows
Year 1 1,600,000 1,900,000 1,300,000 2,000,000
Year 2 1,900,000 2,500,000 1,400,000 2,700,000
Year 3 1,800,000 1,500,000 1,600,000 1,800,000
Year 4 1,600,000 1,200,000 800,000 1,300,000
Net present value 281,280 293,240 (75,960) 85,520
Profitability index 106% 105% 98% 101%
Internal rate of return 14% 15% 11% 13%
132
. What project(s) should Maloney undertake during the upcoming year assuming it has no budget restrictions?
a. All of the projects. c. Projects 1,2 and 4
b. Projects 1, 2, and 3 d. Projects 1 and 2
133
. Which projects should Maloney undertake during the upcoming year if it has only $12,000,000 of investment funds
available?
a. Projects 1 and 3 c. Projects 1 and 4.
b. Projects 1, 2, and 4. d. Projects 1 and 2.
134
. Which project(s) should Maloney undertake during the upcoming year if it has only $6,000,000 of funds available?
a. Project 3. c. Project 1.
b. Projects 1 and 2. d. Project 2.
Questions 60 through 62 are based on the following information. CMA 695 4-7 to 9
Capital Invest Inc. uses a 12% hurdle rate for all capital expenditures and has done the following analysis for four
projects for the upcoming year:
Project 1 Project 2 Project 3 Project 4
Initial capital outlay $200,000 $298,000 $248,000 $272,000
Annual net cash inflows
Year 1 $ 65,000 $100,000 $ 80,000 $ 95,000
Year 2 70,000 135,000 95,000 125,000
Year 3 80,000 90,000 90,000 90,000
Year 4 40,000 65,000 80,000 60,000
Net present value (3,798) 4,276 14,064 14,662
Profitability index 98% 101% 106% 105%
Internal rate of return 11% 13% 14% 15%
135
. Which project(s) should Capital Invest Inc. undertake during the upcoming year assuming it has no budget
restrictions?
A. All of the projects. C. Projects 2, 3, and 4.
B. Projects 1, 2, and 3. D. Projects 1, 3, and 4.
136
. Which project(s) should Capital Invest Inc. undertake during the upcoming year if it has only $600,000 of funds
available?
A. Projects 1 and 3. C. Projects 2 and 3.
B. Projects 2, 3, and 4. D. Projects 3 and 4.
137
. Which project(s) should Capital Invest Inc. undertake during the upcoming year if it has only $300,000 of capital
funds available?
A. Project 1. C. Projects 3 and 4.
B. Projects 2, 3, and 4. D. Project 3.
Questions 73 thru 78 are based on the following information.
A company that annually reviews its investment opportunities and selects appropriate capital expenditures for the
coming year is presented with two projects, called Project A and Project B. Best estimates indicate that the investment
outlay for Project A is $30,000 and for Project B is $1 million. The projects are considered to be equally risky. Project A is
expected to generate cash inflows of $40,000 at the end of each year for 2 years. Project B is expected to generate cash
inflows of $700,000 at the end of the first year and $500,000 at the end of the second year. The company has a cost of
capital of 8%.
138
. What is the net present value (NPV) of each project when the cost of capital is zero?
CIA 0594 IV-40 A. B. C. D.
Project A $30,000 $50,000 $80,000 $110,000
Project B $1,000,000 $200,000 $1,200,000 $2,200,000
139
. The internal rate of return of Project A, to the nearest full percentage point, is
A. 10% C. 25%
B. 15% D. 100% CIA 0594 IV-41
140
. Net present value (NPV) and internal rate of return (IRR) differ in that
A. NPV assumes reinvestment of project cash flows at the cost of capital, whereas IRR assumes reinvestment of
project cash flows at the internal rate of return. CIA 0594 IV-42
B. NPV and IRR make different accept or reject decisions for independent projects.
C. IRR can be used to rank mutually exclusive investment projects, butt NPV cannot.
D. NPV is expressed as a percentage, while IRR is expressed as a dollar amount.
141
. If Projects A and B are mutually exclusive, which of the following statements is true?
A. The company should undertake Project A only.
B. The company should undertake Project B only.
C. The company should undertake both projects.
D. The company should not undertake either project. CIA 0594 IV-43
142
. If Projects A and B are independent, which of the following statements is true?
A. The company should undertake Project A only.
B. The company should undertake Project B only.
C. The company should undertake both projects.
D. The company should not undertake either project. CIA 0594 IV-44
143
. If the net present value (NPV) of project A is known to be higher than the NPV of project B, it can be concluded that
A. The internal rate of return (IRR) of project A will definitely be higher than the IRR of project B.
B. The IRR of project A will definitely be lower than the IRR of project B.
C. The ranking of IRRs is indeterminate based on the information provided.
D. The payback period for project A is definitely shorter than the payback period for project B. CIA 1190
IV-54
PROJECT IMPLEMENTATION & REVIEW
Questions 28 and 29 are based on the following information. RPCPA 0593
The construction of a waste treatment plant was arrived at after a careful cost-benefit analysis. During the construction
period a status report was presented for your review:
• completed cost as originally estimated, P5 million
• % of actual completion to date, 65%
• actual cost to date, P3.75 million
*. Assuming cost is evenly distributed throughout the construction period, how much will the completion cost be most
likely? (E)
a. The original cost estimate of P5 million.
b. P5 million plus a cost overrun of about P769,000
c. P500,000 less than the original cost at completion.
d. About P100,000 above the original cost at completion.
*. What would be an appropriate action to take considering the situation in number 28?
a. No need to take any action.
b. Immediately stop further work on the project.
c. Recommend immediate review with the project implementation team to determine the cause of overrun and the
corrective actions to be taken.
d. Wait for the next quarterly status report on the project.
PROBABILITIES & EXPECTED VALUE ANALYSIS
144
. What is the expected value of NPV (to the nearest dollar) for the following situation? The firm expects an NPV of
$10,000 if the economy is exceptionally strong (40% probability), an NPV of $4,000 if the economy is normal (40%
probability), and an NPV of -$2,000 if the economy is exceptionally weak (20% probability). (M)
A. $5,600 C. $6,000
B. $5,200 D. None of the answers are correct. Gleim
Questions 5 thru 7 are based on the following information. Gitman
A corporation is assessing the risk of two capital budgeting proposals. The financial analysts have developed
pessimistic, most likely, and optimistic estimates of the annual cash inflows which are given in the following table. The
firm’s cost of capital is 10 percent.
Project A Project B
Initial
Investment
Annual
Cash inflow Outcome
Initial
Investment
Annual
Cash Inflow Outcome
$20,000 $ 5,000 Pessimistic $100,000 $ 20,000 Pessimistic
10,000 Most likely 40,000 Most likely
15,000 Optimistic 100,000 Optimistic - The range of the annual cash inflows for Project A is (E)
A. $30,000. C. $5,000.
B. $10,000. D. $0. - If the projects have fiveyear lives, the range of the net present value for Project B is approximately (M)
A. $80,560. C. $255,410.
B. $201,000. D. $303,280. - The expected net present value of project A if the outcomes are equally probable and the project has fiveyear life is
(M)
A. $ 1,045. C. $36,865.
B. $17,910. D. $93,730.
Questions 8 thru 12 are based on the following information. Gitman
A firm is evaluating the relative riskiness of two capital budgeting projects. The following table summarizes the net
present values and associated probabilities for various outcomes for the two projects.
Net Present Value
Probability Project A Project B
0.25 $ 5,000 0
0.50 4,000 $ 2,000
0.25 10,000 8,000 - The expected net present value for projects A and B are
A. $4,000 and $1,500, respectively. C. $3,250 and $3,000, respectively.
B. $2,000 and $1,000, respectively. D. $3,000 and $3,300, respectively. - The standard deviation for projects A and B are
A. $3,000 and $5,000, respectively. C. $2,106 and $0, respectively.
B. $4,210 and $2,104, respectively. D. $5,356 and $3,000, respectively. - The coefficient of variations for projects A and B are
A. 0.6 and 1, respectively. C. 0.8 and 2, respectively.
B. 1.6 and 1, respectively. D. 1.2 and 1.5, respectively. - The two projects can best be characterized relative to one another by the statement,
A. project A is more risky than project B.
B. project B is more risky than project A.
C. since project A has a higher expected net present value, it should be chosen.
D. since project B has a higher standard deviation, it is more risky and should not be chosen. - The firm should
A. choose project A since it has a higher net present value potential.
B. choose project B since it has a lower standard deviation.
C. choose project A since it has a lower relative risk.
D. choose project B since it has a lower relative risk.
Questions 23 through 25 are based on the following information. RPCPA 0579
The Suarez Corporation has the following incremental cash flows for a press machine it intends to buy:
Year 1 Year 2
Cash Flow Initial Probability Cash Flow Initial Probability
P5,000 0.5 P 3,000 0.3
4,500 0.3
6,000 0.4
P10,000 0.5 P10,000 0.25
12,500 0.40
15,000 0.35
The firm has a required after tax rate of return of 10%. The abandonment value of the machine is as follows:
Year 1 Year 2
Probability Amount Probability Amount
0.5 P8,000 0.5 P2,000
0.3 5,000 0.3 1,500
0.2 4,000 0.2 1,000
*. Based on the above data, what is the joint probability of the cash flow series that will yield P10,000 for the first year
and P12,500 for the second year? (D)
a. 0.125 c. 0.175
b. 0.150 d. 0.200
*. The abandonment value for year 1 is (D)
a. P5,000 c. P7,500
b. P6,300 d. P10,000
*. The abandonment value for year 2 is (D)
a. P1,650 c. P25,500
b. P13,500 d. P37,500
COMPREHENSIVE
Cash Flows & Discounted Cash Flows
Questions 91 through 94 are based on the following information. CMA 1296 4-15 to 18
In order to increase production capacity, Gunning Industries is considering replacing an existing production machine with
a new technologically improved machine effective January 1, 1997. The following information is being considered by
Gunning Industries:
The new machine would be purchased for $160,000 in cash. Shipping, installation, and testing would cost an
additional $30,000.
The new machine is expected to increase an annual sales by $20,000 at a sales price of $40 per unit. Incremental
operating costs include $30 per unit in variable costs and total fixed costs of $40,000 per year.
The investment in the new machine will require an immediate increase in working capital of $35,000. This cash
outflow will be recovered at the end of year 5.
Gunning uses straight-line depreciation for financial reporting and tax reporting purposes. The new machine has an
estimated useful life of 5 years and zero salvage value.
Gunning is subject to a 40% corporate income tax rate.
Gunning uses the net present value method to analyze investments and will employ the following factors and rates:
Period
Present Value
of $1 at 10%
Present Value of an
Ordinary Annuity of $1 at 10%
1 0.909 0.909
2 0.826 1.736
3 0.751 2.487
4 0.683 3.170
5 0.621 3.791
145
. Gunning Industries’ net cash outflow in a capital budgeting decision is
a. $190,000 c. P204,525
b. P195,000 d. P225,000
146
. Gunning Industries’ discounted annual depreciation tax shield for the year 1997 is
a. $13,817 c. $20,725
b. $16,762 d. $22,800
147
. The acquisition of the new production machine by Gunning Industries will contribute a discounted net-of-tax
contribution margin of
a. $242,624 c. $363,936
b. $303,280 d. $454,920
148
. The overall discounted cash flow impact of Gunning Industries’ working capital investment for the new production
machine would be
a. $(7,959) c. $(13,265)
b. $(10,080) d. $(35,000)
Net Investment & Payback Period
Questions 19 and 20 are based on the following information. RPCPA 0583
Beta Company plans to replace its company car with a new one. The new car costs P120,000 and its estimated useful
life is five years without scrap value. The old car has a book value of P15,000 and can be sold at P12,000. The
acquisition of the new car will yield annual cash savings of P20,000 before income tax. Income tax rate is 25%.
*. The net investment of the new car is (E)
a. P108,000 c. P107,250
b. P108,750 d. P107,000
*. The payback period of the investment is (M)
a. 5.14 years c. 5.11 years
b. 5.18 years d. 5.095 years
Payback & Net Present Value
Questions 1 & 2 are based on the following information. H & M
Randall Corp is considering the purchase of a new machine for $38,000. The machine would generate a net cash inflow
of $11,607 per year for five years. At the end of five years, the machine would have no salvage value. The company’s
cost of capital is 12 percent. The company uses straight-line method of depreciation with no mid-year convention.
149
. What is the payback period in years for the machine approximated to two decimal points, assuming no taxes are
paid?
a. 3.00 c. 3.27
b. 9.48 d. 4.00
150
. What is the net present value for the machine, assuming no taxes are paid?
a. $3,843 c. $38,000
b. $0 d. $(92,750)
Questions 1 and 2 are based on the following information. H & M
JD, Inc. is considering the purchase of production equipment that costs $400,000. The equipment is expected to
generate annual cash inflows of $125,000 and have a useful life of 5 years with no salvage value. The firm’s cost of
capital is 12 percent. The company uses the straight-line method of depreciation with no mid-year convention. There are
no income taxes.
151
. The payback period in years for the project is
a. 2.90 years c. 3.25 years
b. 3.20 years d. 4.20 years
152
. Ignoring income taxes, the net present value of the project is
a. $40,480 c. $50,625
b. $48,625 d. $54,450
Questions 1 & 2 are based on the following information.
Rogers Manufacturing Company is considering the following investment proposal:
Original investment $30,000
Operations (per year for 4 years):
Cash receipts $20,000
Cash expenditures 11,000
Salvage value of equipment after 4 years $ 2,000
Discount rate 10 percent
The firm uses the straight-line method of depreciation with no mid-year convention.
153
. What is the payback period in years approximated to two decimal points assuming no taxes are paid?
a. 3.33 d. 3.78
b. 1.50 e. 4.00
c. 1.70 H & M
154
. What is the net present value for the investment, assuming no taxes are paid?
a. $(1,000) d. $29,000
b. $30,000 e. $(104)
c. $29,896 H & M
Questions 79 and 80 are based on the following information. Pol Bobadilla
Risk Insurance Company’s management is considering an advertising program that would require an initial expenditure
of P165,500 and bring in additional sales over the next five years. The cost of advertising is immediately recognized as
expense. The projected additional sales revenue in Year 1 is P75,000, with associated expenses of P25,000. The
additional sales revenue and expenses from the advertising program are projected to increase by 10% each year. Risk
Insurance Company’s tax rate is 40%.
The present value of 1 at 10%, end of each period:
Periods Present Value Factor
1 0.90909
2 0.82645
3 0.75131
4 0.68301
5 0.62092 - The payback period for the advertising program is
A. 4.6 years. C. 3.9 years
B. 3.0 years D. 2.5 years - The net present value of the advertising program would be
A. P37,064 C. P(37,064)
B. P29,136 D. P(29,136)
Net Income after Tax, Annual Cash Flow & Payback Period
Questions 15 through 17 are based on the following information. RPCPA 1083
Plaridel Electronics is considering the feasibility of producing a new product to add to its existing line. The sales and
cost estimates for this new product are as follows:
Annual sales 22,500 units
Selling price P35 per unit
Variable manufacturing costs P21 per unit
Incremental fixed manufacturing costs (depreciation not included) P37,500
Incremental selling and administrative expenses P45,000
To produce the new product, the company must purchase an additional equipment costing P300,000. Since the product
will have a life cycle of only five years, the equipment will also have a service life of 5 years with no salvage value. The
straight-line method of depreciation is used. Cash basis for all revenues and expenses other than depreciation is
assumed. Applicable income tax rate is 35%
*. The estimated annual net income after taxes from the proposal to produce the new product is (E)
a. P86,250 c. P151,125
b. P112,125 d. P172,500
*. The estimated net annual cash flow expected from the same proposal is (E)
a. P112,125 c. P249,625
b. P172,125 d. P232,500
*. The payback period of this same proposal is (E)
a. 1.74 years c. 3.48 years
b. 2.68 years d. 5 years
Payback & NPV
Questions 79 and 80 are based on the following information. Barfield
Blues Bros. Inc. is considering an investment in a computer that is capable of producing various images that are useful
in the production of commercial art. The computer would cost $20,000 and have an expected life of eight years. The
computer is expected to generate additional annual net cash receipts (before-tax) of $6,000 per year. The computer will
be depreciated according to the straight-line method and the firm’s marginal tax rate is 25 percent. - What is the after-tax payback period for the computer project?
a. 7.62 years c. 4.44 years
b. 3.90 years d. 3.11 years - (Present value tables needed to answer this question.) What is the after-tax net present value of the proposed
project (using a 16 percent discount rate)?
a. $2,261 c. $6,062
b. $(454) d. $(4,797)
Questions 1 & 2 are based on the following information.
Hancock Corporation is considering an investment in equipment for $30,000. Data related to the investment are as
follows:
Year Income Before Depreciation and Taxes
1 $20,000
2 20,000
3 20,000
4 20,000
5 20,000
Cost of capital is 18 percent.
Hancock uses the straight-line method of depreciation with no mid-year convention. In addition, their tax rate is 40
percent and the life of the equipment is five years with no salvage value.
155
. What is the payback period in years approximated to two decimal points?
a. 1.00 d. 1.50
b. 0.67 e. 2.08
c. 0.48 H & M
156
. What is the net present value of the investment?
a. $45,029 d. $7,524
b. $(15,029) e. $15,029
c. $32,540 H & M
Questions 84 & 85 are based on the following information. Barfield
L&M Ironworks is considering a proposal to sell an existing lathe and purchase a new computer-operated lathe.
Information on the existing lathe and the computer-operated lathe follow:
Existing Lathe Computer-operated lathe
Cost $100,000 $300,000
Accumulated depreciation 60,000 0
Salvage value now 20,000
Salvage value in 4 years 0 60,000
Annual depreciation 10,000 75,000
Annual cash operating costs 200,000 50,000
Remaining useful life 4 years 4 years - What is the payback period for the computer-operated lathe?
a. 1.87 years c. 3.53 years
b. 2.00 years d. 3.29 years - (Present value tables needed to answer this question.) If the company uses 10 percent as its discount rate, what is
the net present value of the proposed new lathe purchase?
a. $236,465 c. $195,485
b. $256,465 d. $30,422
Questions 1 & 2 are based on the following information. H & M
Marriott Services is considering an investment of $50,000. Data related to the investment are as follows:
Year Cash Inflows
1 $20,000
2 22,000
3 16,000
4 30,000
5 30,000
Cost of capital is 14 percent.
157
. What is the payback period in years approximated to two decimal points, assuming no taxes are paid?
a. 2.12 c. 2.50
b. 4.00 d. 3.00
158
. What is the net present value of the investment, assuming no taxes are paid?
a. $29,650 c. $50,000
b. $78,588 d. $28,588
Net Investment and NPV
Problem 15 and 16 are based on the following information. RPCPA 1086
Daneche’s, a tax-exempt entity, plans to purchase a new machine which they project to depreciate over a ten-year
period without salvage value. The new machine will cost P200,000 and is expected to generate cash savings of
P60,000 per year in operating costs. Daneche’s cost of capital is 12%.
For ten periods at 12%, the present value of P1 is P0.3220, while the present value of an ordinary annuity of P1 is
P5.650.
*. What is the net present value of the proposed investment, assuming Daneche uses a 12% discount rate? (M)
a. P185,640 c. P139,000
b. P69,980 d. None of the above.
*. With the company’s initial investment on the new machine, the accounting rate of return is (M)
a. 15% c. 25%
b. 20% d. None of the above.
Questions 11 and 12 are based on the following information. RPCPA 1079
Andalucia Machine Corporation invested in machine with a useful life of six years and no salvage value. The machine
was depreciated using the straight-line method. The annual cash inflow from operations, net of income taxes was
P2,000. The present value of an ordinary annuity of P1 in arrears for six years at 14% is 3.889. The present value of P1
for six periods at 14% is 0.456.
*. Assuming that Andalucia used a time adjusted rate of return of 14%, what was the amount of the original
investment? (E)
a. P7,778 c. P8,687
b. P8,235 d. P9,048
*. Assuming that the minimum desired rate of return on this investment was 14% and the amount of the original
investment was P7,500, what would be the net present value to the nearest peso? (E)
a. P0 c. P278
b. P196 d. P345
Net Investment, Annual Cash Flow & NPV
Question 13 through 15 are based on the following information. RPCPA 1089
A proposal to management of Celine Company has been made to effect the replacement of an old machine with a
modern one, yielding a higher production capacity. The following relevant information was given for evaluation:
Net book value of the old machine P 23,000
Resale value of the old machine 30,000
Cost of the new machine 300,000
Annual cash savings before tax, due to increase in efficiency 85,000
Income tax rate 35%
Estimated useful life of the new machine with a salvage value of P3,000
10 years
Minimum desired rate of return on this investment 20%
The Company uses the straight-line method of depreciation. Information on present value factors follows:
Present value of P1.00 for 10 years at 20% 0.162
Present value of ordinary annuity of P1.00 in arrears for 10 years 4.192
*. What would be the annual cash flow net of tax?
a. P65,645 c. P55,000
b. P55,300 d. P67,750
*. What would be the net investment after income tax?
a. P297,550 c. P270,000
b. P272,450 d. P250,645
*. What would be the net present value of the investment? (rounded to the nearest peso)
a. P2,734 c. P3,220
b. P3,660 d. P(40,146)
Numbers 10, 11 and 12 are based on the following data. RPCPA 1088
The management of PAMA, INC. is planning to replace an old machinery which has a net book value of P15,000 and a
resale value of P20,000. The new machinery will cost P200,000 with an estimated useful life of 10 years and salvage
value of P5,000. The expected increase in efficiency will result in annual cash savings of P55,000 before tax. The
company is using the straight-line method of depreciation and income tax rate is 35%. The minimum desired rate of
return on this investment is 18%.
Present value of ordinary annuity of P1.00 in arrears for 10 years at 18% is 4.494.
Present value of P1.00 for 10 years at 18% is 0.191.
*. The net investment after income tax is
a. P180,000 c. P196,750
b. P185,000 d. P181,750
*. The annual cash flow net of tax is
a. P35,750 c. P35,500
b. P42,750 d. P42,575
*. The net present value of the investment is
a. (P7,712.95) c. P10,537.05
b. P9,582.05 d. P12,287.05
Net Investment, Payback Period, NPV & IRR
Questions 17 through 20 are based on the following information. RPCPA 1084
Sta. Lucia Company is considering the purchase of a new equipment at a price of P400,000. If the new equipment is
acquired, an old machine that is fully depreciated will be disposed for P50,000.
The new equipment is expected to provide annual savings in operating costs of P150,000 before deducting depreciation
or income tax. The new equipment has an estimated life of 5 years and will have no salvage value at the end of 5 years.
Income tax is at the rate of 35% for both the ordinary income and on any gain from the sale of equipment. For similar
type of investment, the company expects a minimum rate of 20%.
The appropriate present value table that you may use in this problem is as follows:
Present value
of P1
Present value of P1 received per period
Perio
d
20% 22% 20% 22%
1 0.833 0.820 0.833 0.820
2 0.694 0.672 1.528 1.492
3 0.579 0.551 2.106 2.042
4 0.482 0.451 2.589 2.494
5 0.402 0.370 2.991 2.864
*. The amount of net investment in the new equipment is
a. P350,000 c. P400,000
b. P367,500 d. P450,000
*. The payback period using returns before depreciation and taxes is
a. 2.45 years. c. 3.0 years.
b. 2.67 years. d. 4.0 years.
*. The net present value of the investment of the new equipment is
a. zero c. P25,870.00
b. P7,870.50 d. P(24,630)
*. The discounted rate of return on the new equipment is
a. 20% d. 22%
b. less than 20% e. Answer not given
c. more than 20% but less than 22%
Annual Net Cash Inflow & Payback
Questions 1 & 2 are based on the following information. H & M
Finch Company is considering an investment in equipment for $30,000. Finch uses the straight-line method of
depreciation with no mid-year convention. In addition, their tax rate is 40 percent and the life of the equipment is five
years with no salvage value. The expected income before depreciation and taxes is projected to be $15,000 per year.
159
. What is the payback period in years approximated to two decimal points?
a. 1.00 d. 4.00
b. 2.00 e. 0.38
c. 2.63
160
. What is the annual net cash inflow for year 1?
a. $15,000 c. $11,400
b. $9,000 d. $6,000
Annual Cash Flow, NPV & IRR
Questions 75 thru 77 are based on the following information. G & N 9e
(Ignore income taxes in this problem.) Bugle’s Bagel Bakery is investigating the purchase of a new bagel making
machine. This machine would provide an annual operating cost savings of $3,650 for each of the next 4 years. In
addition, this new machine would allow the production of one new type of bagel that would result in selling 1,500 dozen
more bagels each year. The company earns a contribution margin of $0.90 on each dozen bagels sold. The purchase
price of this machine is $13,450 and it will have a 4-year useful life. Bugle’s discount rate is 14%. - The total annual cash inflow from this machine for capital budgeting purposes is: (E)
a. $3,650. c. $4,750.
b. $5,150. d. $5,000. - The internal rate of return for this investment is closest to: (M)
a. 14%. c. 18%.
b. 16%. d. 20%. - The net present value of this investment is closest to: (E)
a. $1,120. c. $13,450.
b. $6,550. d. $20,000.
ARR and Payback
Questions 16 and 17 are based on the following information. RPCPA 1080
A manufacturing firm is studying the purchase of a P50,000 equipment with an estimated life of five years. The new
equipment is expected to give the company net cash income before income taxes of P15,000 a year. The equipment
shall be depreciated on a straight-line basis with no salvage value. Assume that the income tax rate is 40%.
*. The accounting (book value) rate of return on the initial increase in required investment is (E)
a. 6% c. 18%
b. 10% d. 30%
*. The payback period is (E)
a. 2 years c. 3.85 years
b. 3.33 years d. 10 years
Questions 101 and 102 are based on the following information. Barfield
Jimmy’s Retail is considering an investment in a delivery truck. Jimmy has found a used truck that he can purchase for
$8,000. He estimates the truck would last six years and increase his store’s net cash revenues by $2,000 per year. At the
end of six years, the truck would have no salvage value and would be discarded. Jimmy will depreciate the truck using
the straight-line method.
101.What is the accounting rate of return on the truck investment (based on average profit and average investment)?
a. 25.0% c. 16.7%
b. 50.0% d. 8.3%
102.What is the payback period on the investment in the new truck?
a. 12 years c. 4 years
b. 6 years d. 2 years
Questions 99 & 100 are based on the following information. G & N 9e
(Ignore income taxes in this problem.) Fast Food, Inc., has purchased a new donut maker. It cost $16,000 and has an
estimated life of 10 years. The following annual donut sales and expenses are projected:
Sales $22,000
Expenses:
Flour, etc., required in making donuts $10,000
Salaries 6,000
Depreciation 1,600 17,600
Net income $ 4,400 - The payback period on the new machine is closest to:(E)
a. 5 years. c. 3.6 years.
b. 2.7 years. d. 1.4 years.
100.The simple rate of return for the new machine is closest to: (E)
a. 20%. c. 27.5%.
b. 37.5%. d. 80.0%.
Questions 101 & 102 are based on the following information. G & N 9e
(Ignore income taxes in this problem.) Purvell Company has just acquired a new machine. Data on the machine follow:
Purchase cost $50,000
Annual cost savings 15,000
Life of the machine 8 years
The company uses straight-line depreciation and a $5,000 salvage value. (The company considers salvage value in
making depreciation deductions.) Assume cash flows occur uniformly throughout a year.
101.The payback period would be closest to: (E)
a. 3.33 years. c. 8.0 years.
b. 3.0 years. d. 2.9 years.
102.The simple rate of return would be closest to: (E)
a. 30.0%. c. 18.75%.
b. 17.5%. d. 12.5%.
Questions 103 & 104 are based on the following information. AICPA adapted
(Ignore income taxes in this problem.) Hanley Company purchased a machine for $125,000 that will be depreciated on
the straight-line basis over a five-year period with no salvage value. The related cash flow from operations is expected to
be $45,000 a year. These cash flows from operations occur uniformly throughout the year.
103.What is the payback period? (E)
a. 2.1 years. c. 2.8 years.
b. 2.3 years. d. 4.2 years.
104.What is the simple rate of return on the initial investment? (E)
a. 16%. c. 28%.
b. 24%. d. 36%.
ARR & NPV
Questions 8 and 9 are based on the following information. RPCPA 0585
Information concerning two products or the Champaca Company is given below:
Catleya Company, a tax-exempt entity, is planning to purchase a new machine which it will depreciate on a straight-line
basis over a ten-year period with no salvage value. The new equipment costing P150,000 is expected to produce cash
savings of P33,000 per year in operating costs. Catleya’s cost of capital is 16%. For ten periods at 16%, the present
value of P1 is 0.227, while the present value of an annuity of P1 is P4.833.
*. Assuming that Catleya uses a discount rate of 15%, the net present value of the proposed investment is:
a. P9,489 c. P75,000
b. P34,050 d. P180,000
*. Based on the Company’s initial investment in the new equipment, the accounting rate of return is
a. 8% c. 16%
b. 12% d. 25%
Questions 1 & 2 are based on the following information. - Johnson Company invests in a new place of equipment costing $20,000. The equipment is expected to yield the
following amounts per year for the equipment’s four-year useful life:
Cash revenues $30,000
Cash expenses (16,000)
Depreciation expenses ( 5,000)
Income provided from equipment $ 9,000
Cost of capital 14 percent
There is no salvage value at the end of four years.
161
. What is the accounting rate of return on average investment for the equipment, assuming no taxes are paid?
a. 100.0% d. 90.0%
b. 6.3% e. 14.0%
c. 70.0% H & M
162
. What is the net present value of this investment in equipment assuming no taxes are paid?
a. $40,796 d. $26,226
b. $20,796 e. $17,760
c. $(2,240) H & M
ARR & IRR
Items 74 thru 76 are based on the following:
Tam Co. is negotiating for the purchase of equipment that would cost $100,000, with the expectation that $20,000 per
year could be saved in after-tax cash costs if the equipment were acquired. The equipment’s estimated useful life is 10
years, with no residual value, and would be depreciated by the straight-line method. Tam’s predetermined minimum
desired rate of return is 12%. Present value of an annuity of 1 at 12% for 10 periods is 5.65. Present value of 1 due in
10 periods at 12% is 0.322.
163
. The payback period is (E)
a. 4.0 years. c. 4.5 years.
b. 4.4 years. d. 5.0 years.
164
. In estimating the internal rate of return, the factors in the table of present values of an annuity should be taken from
the columns closest to
a. 0.65 c. 5.00
b. 1.30 d. 5.65
165
. Accrual accounting rate of return based on initial investment is
a. 30% c. 12%
b. 20% d. 10%
ARR, Payback and NPV
Questions 1 through 3 are based on the following information.
A company is planning to acquire a new machine costing $120,000. It has an economic useful life of 3 years with no
salvage value. It has a theoretical capacity of 100,000 machine hours. It can produce one unit per hour. It expects to
sell 80,000 units per year. The machine will reduce labor costs from $2.50 to $1.50 per machine hour.
166
. What is the net present value of this investment? Use the factors given below.
Years PV $1 at 10%
1 0.91
2 0.83
3 0.75
4 0.68
5 0.62
6 0.56
A. $79,200 C. $129,000
B. $120,000 D. $199,200 CIA 0589 IV-22
167
. What is the accounting (book) rate of return on the average investment for the 3-year period?
A. 10% C. 67%
B. 33% D. 80% CIA 0589 IV-23
168
. What is the payback period?
A. 1.50 years. C. 2.00 years.
B. 1.20 years. D. 3.00 years. CIA 0589 IV-24
Questions 83 through 85 are based on the following information. CMA 0696 4-23 to 25
Jorelle Company’s financial staff has been requested to review a proposed investment in new capital equipment.
Applicable financial data is presented below. There will be no salvage value at the end of the investment’s life and, due
to realistic depreciation practices, it is estimated that the salvage value and net book value are equal at the end of each
year. All cash flows are assumed to take place at the end of each year. For investment proposal, Jorelle uses a 12%
after-tax target rate of return.
Investment
Proposal
Year
Purchase Cost
and Book Value
Annual Net After-Tax
Cash Flows
Annual Net Income
0 $250,000 $ 0 . $ 0 .
1 168,000 120,000 35,000
2 100,000 108,000 39,000
3 50,000 96,000 43,000
4 18,000 84,000 47,000
5 0 72,000 51,000
Year P.V. of $1 Received
at the End of Each Period
P.V. of an Annuity of $1.00 Received
at the End of Each Period
1 0.89 0.89
2 0.80 1.69
3 0.71 2.40
4 0.64 3.04
5 0.57 3.61
6 0.51 4.12
169
. The accounting rate of return for the investment proposal is
a. 12.0% c. 28.0%
b. 17.2% d. 34.4%
170
. The net present value for the investment proposal is
a. $106,160 c. $356,160
b. $(97,970) d. $96,560
171
. The traditional payback period for the investment proposal is
a. Over 5 years. c. 1.65 years.
b. 2.23 years. d. 2.83 years
Questions 86 through 88 are based on the following information. CIA 0593 IV-22 to 24
A company purchased a new machine to stamp the company logo on its products. The cost of the machine was
$250,000, and it has an estimated useful life of 5 years with an expected salvage value at the end of its useful life of
$50,000. The company uses the straight-line depreciation method.
The new machine is expected to save $125,000 annually in operating costs. The company’s tax rate is 40%, and it uses
a 10% discount rate to evaluate capital expenditure.
Year Present Value of $1 Present Value of an Ordinary Annuity of $1
1 .909 .909
2 .826 1.736
3 .751 2.487
4 .683 3.170
5 .621 3.791
172
. What is the traditional payback period for the new stamping machine?
a. 2.00 years. c. 2.75 years.
b. 2.63 years. d. 2.94 years.
173
. What is the accounting rate of return based on the average investment in the new stamping machine?
a. 20.4% c. 40.8%
b. 34.0% d. 51.0%
174
. What is the net present value (NPV) of the new stamping machine?
a. $125,940 c. $250,000
b. $200,000 d. $375,940
Questions 122 through 125 are based on the following information. CMA 1291 4-1 to 4
Yipann Corporation is reviewing an investment proposal. The initial cost as well as other related data for each year are
presented in the schedule below. All cash flows are assumed to take place at the end of the year. The salvage value of
the investment at the end of each year is equal to its net book value, and there will be no salvage value at the end of the
investment’s life.
Investment Proposal
Year
Initial Cost
and Book Value
Annual Net AfterTax Cash Flows
Annual
Net Income
0 $105,000 $0 $0
1 70,000 50,000 15,000
2 42,000 45,000 17,000
3 21,000 40,000 19,000
4 7,000 35,000 21,000
5 0 30,000 23,000
Yipann uses a 24% after-tax target rate of return for new investment proposals. The discount figures for a 24% rate of
return are given.
Year
Present Value of $1.00
Received at the End of Period
Present Value of an Annuity of
$1.00Received at the End of Each Period
1 .81 .81
2 .65 1.46
3 .52 1.98
4 .42 2.40
5 .34 2.74
6 .28 3.02
7 .22 3.24
175
. The traditional payback period for the investment proposal is (E)
A. .875 years. C. 2.250 years.
B. 1.933 years. D. Over 5 years.
176
. The average annual cash inflow at which Yipann would be indifferent to the investment (rounded to the nearest
dollar) is (E)
A. $21,000. C. $38,321.
B. $30,000. D. $46,667.
177
. The accounting rate of return for the investment proposal over its life using the initial value of the investment is (E)
A. 36.2%. C. 28.1%.
B. 18.1%. D. 38.1%.
178
. The net present value of the investment proposal is (E)
A. $4,600. C. $(55,280).
B. $10,450. D. $115,450.
Questions 80 thru 82 are based on the following information. G & N 9e
(Ignore income taxes in this problem.) Oriental Company has gathered the following data on a proposed investment
project:
Investment in depreciable equipment ….. $200,000
Annual net cash flows ………………. $ 50,000
Life of the equipment ………………. 10 years
Salvage value ……………………… -0-
Discount rate ……………………… 10%
The company uses straight-line depreciation on all equipment. - The payback period for the investment would be: (E)
a. 2.41 years. c. 10 years.
b. 0.25 years. d. 4 years. - The simple rate of return on the investment would be: (E)
a. 10%. c. 15%.
b. 35%. d. 25%. - The net present value of this investment would be: (E)
a. ($14,350). c. $77,200.
b. $107,250. d. $200,000.
ARR, Discounted Payback & NPV
Questions 68 through 70 are based on the following information. Gleim
Rex Company is considering an investment in a new plant which will entail an immediate capital expenditure of
$4,000,000. The plant is to be depreciated on a straight-line basis over 10 years to zero salvage value. Operating
income (before depreciation and taxes) is expected to be $800,000 per year over the 10-year life of the plant. The
opportunity cost of capital is 14%. Assume that there are no taxes.
179
. What is the book (or accounting) rate of return for the investment?
A. 10% C. 28%
B. 20% D. 35%
180
. What is the discounted payback period for the investment?
A. 5.5 years. C. 9.2 years.
B. 7.1 years. D. 11.7 years.
181
. What is the NPV for the investment?
A. $172,800 C. $312,475
B. $266,667 D. $428,956
ARR, NPV & IRR
Questions 1 thru 3 are based on the following information. H & M
Orow Print Shop is considering the purchase of a used printing press costing $19,200. The printing press would
generate a net cash inflow of $8,000 per year for three years. At the end of three years, the press would have no salvage
value. The company’s cost of capital is 10 percent. The company uses straight-line depreciation with no mid-year
convention.
182
. What is the accounting rate of return on the original investment in the press to the nearest percent, assuming no
taxes are paid?
a. 41.67% d. 10.00%
b. 8.33% e. 12.00%
c. 75.00%
183
. What is the net present value for the press, assuming no taxes are paid?
a. $4,800 d. $696
b. $19,896 e. $0
c. $19,200
184
. What is the internal rate of return to the nearest percent for the press, assuming no taxes are paid?
a. 10% d. 8%
b. 12% e. 14%
c. 42%
ARR, NPV, IRR & Annual Cash Flow
Questions 1 thru 4 are based on the following information. H & M
Randall Corp is considering the purchase of a new machine for $40,000. The machine would generate a net cash inflow
before depreciation and taxes of $14,389 per year for five years. At the end of five years, the machine would have no
salvage value. The company’s cost of capital is 12 percent. The company uses straight-line method of depreciation with
no mid-year convention and has a 40 percent tax rate.
185
. What is the accounting rate of return on the original investment in the machine approximated to two decimal points?
a. 35.97% d. 9.58%
b. 19.17% e. 0.00%
c. 15.97%
186
. What is the net present value for the machine?
a. $2,659 c. $42,659
b. $0 d. $11,872
187
. What is the internal rate of return for the machine rounded to the nearest percent?
a. below 12 percent d. between 16 and 18 percent
b. between 12 and 14 percent e. above 18 percent
c. between 14 and 16 percent
188
. What is the annual net after-tax cash inflow per year (rounded off)?
a. $14,389 c. $3,200
b. $8,633 d. $11,833
Questions 1 thru 4 are based on the following information. H & M
Harrison Company is considering the purchase of a new machine for $80,000. The machine would generate net cash
inflow before depreciation and taxes of $31,294 per year for four years. At the end of four years, the machine would have
no salvage value. The company’s cost of capital is 12 percent. The company uses straight-line depreciation with no midyear convention and has a 40 percent tax rate.
189
. What is the accounting rate of return on the original investment in the machine approximated to two decimal points?
a. 14.12% c. 39.12%
b. 8.47% d. 16.92%
190
. What is the net present value for the machine?
a. $81,320 c. $15,040
b. $1,320 d. $(22,976)
191
. What is the internal rate of return for the machine rounded to the nearest percent?
a. below 12 percent d. between 16 and 18 percent
b. between 12 and 14 percent e. above 18 percent
c. between 14 and 16 percent
192
. What is the annual net after-tax cash inflow per year?
a. $31,294 d. $29,667
b. $8,000 e. $26,76
c. $18,776
ARR, Payback, NPV & IRR
Questions 118 through 121 are based on the following information. Gleim
Don Adams Breweries is considering an expansion project with an investment of $1,500,000. The equipment will be
depreciated to zero salvage value on a straight-line basis over 5 years. The expansion will produce incremental
operating revenue of $400,000 annually for 5 years. The company’s opportunity cost of capital is 12%. Ignore taxes.
193
. What is the payback period of the project?
A. 2 years. C. 3.75 years.
B. 2.14 years. D. 5 years.
194
. What is the book (accounting) rate of return of the investment?
A. 6.67% C. 16.67%
B. 13.33% D. 26.67%
195
. What is the NPV of the investment?
A. $0 C. – $116,000
B. – $58,000 D. $1,442,000
196
. What is the IRR of the investment?
A. 10.43% C. 16.32%
B. 12.68% D. 19.17%
Questions 71 thru 74 are based on the following information. G & N 9e
(Ignore income taxes in this problem.) Shields Company has gathered the following data on a proposed investment
project:
Investment required in equipment $400,000
Annual cash inflows $80,000
Salvage value $-0-
Life of the investment 10 years
Discount rate 10% - The payback period for the investment is closest to: (E)
a. 0.2 years. c. 3.0 years.
b. 1.0 years. d. 5.0 years. - The simple rate of return on the investment is closest to: (E)
a. 5%. c. 15%.
b. 10%. d. 20%. - The net present value on this investment is closest to: (E)
a. $400,000. c. $91,600.
b. $80,000. d. $76,750. - The internal rate of return on the investment is closest to: (M)
a. 11%. c. 15%.
b. 13%. d. 17%.
ARR, Payback, NPV, PI & IRR
Questions 106 through 110 are based on the following information. Gleim
A proposed investment is not expected to have any salvage value at the end of its 5-year life. For present value
purposes, cash flows are assumed to occur at the end of each year. The company uses a 12% after-tax target rate of
return.
Year
Purchase Cost
and Book Value
Annual Net AfterTax Cash Flows
Annual
Net Income
0 $500,000 $ 0 $ 0
1 336,000 240,000 70,000
2 200,000 216,000 78,000
3 100,000 192,000 86,000
4 36,000 168,000 94,000
5 0 144,000 102,000
Discount Factors for a 12% Rate of Return
Year
Present Value of $1 at
The End of Each Period
Present Value of an Annuity of
$1 at the End of Each Period
1 .89 .89
2 .80 1.69
3 .71 2.40
4 .64 3.04
5 .57 3.61
6 .51 4.12
197
. The accounting rate of return based on the average investment is (E)
a. 84.9% c. 40.8%
b. 34.4% d. 12%
198
. The net present value is (E)
a. $304,060 c. $(70,000)
b. $212,320 d. $712,320
199
. The traditional payback period is (E)
a. Over 5 years. c. 1.65 years.
b. 2.23 years. d. 2.83 years.
200
. The profitability index is (E)
a. 0.61 c. 0.86
b. 0.42 d. 1.425
201
. Which statement about the internal rate of return of the investment is true? (E)
a. The IRR is exactly 12%.
b. The IRR is over 12%.
c. The IRR is under 12%.
d. No information about the IRR can be determined
Discount Rate, Profitability Index, IRR
Questions 88 through 90 are based on the following information. Barfield
R Co. is involved in the evaluation of a new computer-integrated manufacturing system. The system has a projected
initial cost of $1,000,000. It has an expected life of six years, with no salvage value, and is expected to generate annual
cost savings of $250,000. Based on R Co.’s analysis, the project has a net present value of $57,625. - (Present value tables needed to answer this question.) What discount rate did the company use to compute the net
present value?
a. 10% c. 12%
b. 11% d. 13% - What is the project’s profitability index?
a. 1.058 c. .945
b. .058 d. 1.000 - (Present value tables needed to answer this question.) What is the project’s internal rate of return?
a. between 12.5 and 13.0 percent c. between 11.5 and 12.0 percent
b. between 11.0 and 11.5 percent d. between 13.0 and 13.5 percent
Payback Period and NPV
Questions 13 and 14 are based on the following information. RPCPA 1082
The Sta. Clara Company is planning to replace one of its machines. The annual operating cost of the machine is
P150,000, excluding depreciation, while that of the new machine is estimated at P90,000. The new machine will cost
P180,000 net of trade-in allowance with a useful life of 10 years, without salvage value. Assume cost of capital to be
12% and a straight-line depreciation charge. The old machine is fully depreciated. The present value of an annuity of
P1.00 for 10 years at 12% is 5.6502. Ignore income tax implications.
*. The payback period will be (E)
a. 2.5 years c. 4.29 years
b. 3 years d. 4.5 years
*. The net present value is (E)
a. P57,308.40 d. P237,308.40
b. P90,000 e. None of the these
c. P180,000
Questions 66 and 67 are based on the following information. CMA 1293 4-18 & 19
The Keego Company is planning a $200,000 equipment investment which has an estimated 5-year life with no estimated
salvage value. The company has projected the following annual cash flows for the investment.
Year Projected Cash Inflows Present Value of $1
1 $120,000 .91
2 60,000 .76
3 40,000 .63
4 40,000 .53
5 40,000 .44
Totals $300,000 3.27
202
. Assuming that the estimated cash inflows occur evenly during each year, the payback period for the investment is
a. 1.67 years. c. 2.50 years.
b. 4.91 years. d. 1.96 years.
203
. The net present value for the investment is
A. $18,800. C. $196,200.
B. $218,800. D. $91,743.
Questions 76 and 77 are based on the following information. CMA 695 4-5 & 6
McLean Inc. is considering the purchase of a new machine that will cost $160,000. The machine has an estimated
useful life of 3 years. Assume that 30% of the depreciable value base will be depreciated in the first year, 40% in the
second year, and 30% in the third year. The new machine will have a $10,000 resale value at the end of its estimated
useful life. The machine is expected to save the company $85,000 per year in operating expenses. McLean uses a
40% estimated income tax rate and a 16% hurdle rate to evaluate capital projects.
Discount rates for a 16% rate are as follows:
Present Value of $1 Present Value of an Ordinary Annuity of $1
Year 1 .862 .862
Year 2 .743 1.605
Year 3 .641 2.246
204
. What is the net present value of this project?
a. $3,278 c. $(568)
b. $5,842 d. $30,910
205
. The payback period for this investment would be
a. 1.88 years. d. 2.23 years.
b. 3.00 years. e. 1.62 years.
c. 2.23 years.
Questions 78 and 79 are based on the following information. CMA 1295 4-12 & 13
Willis Inc. has a cost of capital of 15% and is considering the acquisition of a new machine which costs $400,000 and
has a useful life of 5 years. Willis projects that earnings and cash flow will increase as follows:
Year Net Earnings After-Tax Cash Flow
1 $100,000 $160,000
2 100,000 140,000
3 100,000 100,000
4 100,000 100,000
5 200,000 100,000
15% Interest Rate Factors
Period Present Value of $1 Present Value of an Annuity of $1
1 0.87 0.87
2 0.76 1.63
3 0.66 2.29
4 0.57 2.86
5 0.50 3.36
206
. The net present value of this investment is
a. Negative, $64,000 c. Positive, $18,600
b. Negative, $14,000 d. Positive, $200,000
207
. What is the payback period of this investment?
a. 1.50 years. c. 3.33 years.
b. 3.00 years. d. 4.00 years.
Questions 83 & 84 are based on the following information. AICPA adapted
(Ignore income taxes in this problem.) Apex Corp. is planning to buy production machinery costing $100,000. This
machinery’s expected useful life is five years, with no residual value. Apex uses a discount rate of 10% and has
calculated the following data pertaining to the purchase and operation of this machinery:
Year Estimated annual net cash inflow
1 $ 60,000
2 30,000
3 20,000
4 20,000
5 20,000 - The payback period is: (E)
a. 2.50 years. c. 3.00 years.
b. 2.75 years. d. 5.00 years. - The net present value is closest to: (E)
a. $20,400. c. $80,000.
b. $28,400. d. $50,000.
Payback, Present Value of Cash Flow, Profitability Index
Questions 8 through 10 are based on the following information. RPCPA 1079
Caloocan Manufacturing Co. which has a 14% cost of capital, is planning a project that will cost P80,000. The annual
cash inflow, net of income taxes, together with the present value factors (14%) are as follows:
Year Cash Flow Present Value of P1 at 14%
1 P16,000 0.877
2 P32,000 0.769
3 P32,000 0.675
4 P48,000 0.592
*. The present value of the cash flow generated by the project is (E)
a. P88,656 c. P91,456
b. P90,056 d. P92,856
*. The profitability index of the project (rounded to the nearest hundredth) is (E)
a. 1.02 c. 1.10
b. 1.07 d. 1.15
*. Payback period for the project is (E)
a. 2.75 years c. 3.5 years
b. 3 years d. 4 years.
Payback, NPV & Annual Cash Inflow
Questions 1 thru 3 are based on the following information.
James Corporation is considering an investment in equipment for $50,000. Data related to the investment are as follows:
Year Income Before Depreciation and Taxes
1 $25,000
2 25,000
3 25,000
4 25,000
James uses the straight-line method of depreciation with no mid-year convention. In addition, their tax rate is 40 percent
and the life of the equipment is four years with no salvage value. Cost of capital is 12 percent.
208
. What is the payback period in years approximated to two decimal points?
a. 2.00 d. 2.50
b. 0.40 e. 0.50
c. 3.33 H & M
209
. What is the net present value of the investment?
a. $60,740 c. $25,925
b. $(4,445) d. $10,740 H & M
210
. What is the annual net cash inflow for year 1?
a. $20,000 c. $25,000
b. $15,000 d. $5,000 H & M
Payback, NPV & PI
Questions 80 through 82 are based on the following information. Gleim
Tonya, Inc. has a cost of capital of 15% and is considering the acquisition of a new machine that costs $800,000 and has
a useful life of 5 years. Tonya projects that earnings and cash flow will increase as follows:
Year Net Earnings After-Tax Cash Flow
1 $200,000 $320,000
2 200,000 280,000
3 200,000 200,000
4 200,000 200,000
5 200,000 200,000
Interest rate factors at 15% are as follows:
Period Present Value of $1 Present Value of an Annuity
1 0.87 0.87
2 0.76 1.63
3 0.66 2.29
4 0.57 2.86
5 0.50 3.36
211
. The net present value of this investment is
a. $(128,000) c. $37,200
b. $200,000 d. $400,000
212
. What is the profitability index for the investment?
a. 0.05 c. 1.05
b. 0.96 d. 1.25
213
. What is the payback period of this investment?
a. 1.5 years. c. 3.3 years.
b. 3.0 years. d. 4.0 years.
Questions 102 through 105 are based on the following information. Gleim
MS Trucking is considering the purchase of a new piece of equipment that has a net initial investment with a present vale
of $300,000. The equipment has an estimated useful life of 3 years. For tax purposes, the equipment will be fully
depreciated at rates of 30%, 40%, and 30%, in years one, two, and three, respectively. The new machine is expected to
have a $20,000 salvage value. The machine is expected to save the company $170,000 per year in operating
expenses. MS Trucking has a 40% marginal income tax rate and a 1^% cost of capital. Discount rates for a 16% rate
are:
Present Value of an Ordinary Annuity of $1 Present Value of $1
Year 1 0.862 0.862
Year 2 1.605 0.743
Year 3 2.246 0.641
214
. What is the net present value of this project?
a. $31,684 c. $94,640
b. $26,556 d. $18,864
215
. What is the profitability index for the project?
a. 1.089 c. 1.315
b. 1.106 d. 1.063
216
. The payback period for this investment is
a. 2.84 years. c. 2.08 years.
b. 1.76 years. d. 3.00 years
217
. Assume the same facts as above, except that the salvage value at the end of the investment’s useful life is zero.
What is the new payback period?
a. 2.84 years. c. 2.08 years.
b. 1.76 years. d. 2.09 years.
Expected Annual Cost Savings & IRR
Questions 86 and 87 are based on the following information. Barfield
The Allendale Co. has recently evaluated a proposal to invest in cost-reducing production technology. According to the
evaluation, the project would require an initial investment of $17,166 and would provide equal annual cost savings for
five years. Based on a 10 percent discount rate, the project generates a net present value of $1,788. The project is not
expected to have any salvage value at the end of its five-year life. - (Present value tables needed to answer this question.) What are the expected annual cost savings of the project?
a. $3,500 c. $4,500
b. $4,000 d. $5,000 - (Present value tables needed to answer this question.) What is the project’s expected internal rate of return?
a. 10% c. 13%
b. 11% d. 14%
Payback Period, NPV & IRR
Questions 14 through 16 are based on the following information. RPCPA 1085
Bernie Co. evaluates 2 alternative investment opportunities. All capital investment in this company are expected to yield
a discount rate of return of less than 12%. The following data on the 2 investment proposals are:
Proposal M Proposal N
Required investment P 440,000 P 480,000
Estimated service life 5 years 6 years
Estimated salvage value P 20,000 –
Estimated annual cash flow 170,000 P 120,000
Depreciation straight-line 84,000 80,000
Estimated annual income 36,000 40,000
*. Rate of all investment computed for Proposal M and Proposal N, respectively:
a. 8.2% and 8.3% c. 16.4% and 17.4%
b. 15.7% and 16.7% d. 18.6% and 18.6%
*. Payback period
a. 3.0 for M and 3.5 for N c. 5.0 for M and 6.0 for N
b. 3.7 for M and 4.0 for N d. 12.2 for M and 12.0 for N
*. Net present value discounted at an annual rate of 12% of proposal N if the present value to be received for 5
periods is 3.605 and for 6 periods 4.111.
a. P3,940 c. P13,320
b. P7,880 d. P26,640
Questions 81 through 83 are based on the following information. Barfield
Hefty Investment Co. is considering an investment in a labor-saving machine. Information on this machine follows:
Cost $30,000
Salvage value in five years $0
Estimated life 5 years
Annual depreciation $6,000
Annual reduction in existing costs $8,000 - (Present value tables needed to answer this question.) What is the internal rate of return on this project (round to
the nearest 1/2%)?
a. 37.5% c. 10.5%
b. 25.0% d. 13.5% - (Present value tables needed to answer this question.) Assume for this question only that Hefty Co. uses a discount
rate of 16 percent to evaluate projects of this type. What is the project’s net present value?
a. $(6,283) c. $(23,451)
b. $(3,806) d. $(22,000) - What is the payback period on this investment?
a. 4 years c. 3.75 years
b. 2.14 years d. 5 years
Payback, NPV, IRR & Cash Flows
Questions 1 thru 3 are based on the following information. H & M - Frank Drewer is considering the purchase of a computer-aided manufacturing system. The after-tax cash
benefits/savings associated with the system are as follows:
Decreased waste $150,000
Increased quality 200,000
Decrease in operating costs 300,000
Increase in on-time deliveries 100,000
The system will cost $4,500,000 and will last ten years. The company’s cost of capital is 12 percent.
218
. What is the payback period for the computer-aided manufacturing system?
a. 10.00 years d. 6.92 years
b. 15.00 years e. 6.00 years
c. 11.25 years
219
. What is the NPV for the computer-aided manufacturing system?
a. $4,500,000 d. $4,237,500
b. $(262,500) e. $3,000,000
c. $(2,805,000)
220
. Which of the following best describes the IRR for this project?
a. between 8 and 10 percent d. between 14 and 16 percent
b. between 10 and 12 percent e. above 16 percent.
c. between 12 and 14 percent
Questions 114 through 117 are based on the following information. CIA 1195 IV-38 to 41
An organization has four investment proposals with the following costs and expected cash inflows:
Expected Cash Inflows
Project Cost End of Year 1 End of Year 2 End of Year 3
A Unknown $10,000 $10,000 $10,000
B $20,000 $ 5,000 $10,000 $15,000
C $25,000 $15,000 $10,000 $ 5,000
D $30,000 $20,000 Unknown $20,000
Additional information:
Discount
Rate
Number of
Periods
Present Value of $1 Due
at the End of n Periods
(PVIP)
Present Value of an Annuity of
$1 per Period for n Periods
(PVIFA)
5% 1 0.9524 0.9524
5% 2 0.9070 1.8594
5% 3 0.8638 2.7232
10% 1 0.9091 0.9091
10% 2 0.8264 1.7355
10% 3 0.7513 2.4869
15% 1 0.8696 0.8696
15% 2 0.7561 1.6257
15% 3 0.6575 2.2832
221
. If Project A has an internal rate of return (IRR) of 15%, it has a cost of
a. $8,696 c. $24,869
b. $22,832 d. $27,232
222
. If the discount rate is 10%, the net present value (NPV) of Project B is
a. $4,079 c. $9,869
b. $6,789 d. $39,204
223
. The payback period of Project C is
a. 0 years c. 2 years.
b. 1 year. d. 3 years.
224
. If the discount rate is 5% and the discounted payback period of Project D is exactly 2 years, then the year 2 cash
inflow for Project D is
a. $5,890 c. $12,075
b. $10,000 d. $14,301
Questions 113 through 116 are based on the following information. CIA 0595 IV-41 to 44
A company is evaluating three investment projects.
Project A costs $100,000, has a 10% cost of capital, and has equal end-of-period cash inflows each year for five years.
Project B costs $50,000 and has equal end-of-period cash inflows of $40,000 per year for two years.
Project C costs $60,000 and has cash inflows of $20,000 at the end of year one, $35,000 at the end of year two, and an
unknown cash inflow at the end of year three.
Number of
Years
Discount Rate
(Percent)
Present Value of $1 Due at the
end of n Periods (PVIF)
Present Value of $1 per Period
for n Periods (PVIFA)
1 10 0.9091 0.9091
1 12 0.8929 0.8929
2 10 0.8264 1.7355
2 12 0.7972 1.6901
3 10 0.7513 2.4869
3 12 0.7118 2.4018
4 10 0.683 3.1699
4 12 0.6355 3.0373
5 10 0.6209 3.7908
5 12 0.5674 3.6048
225
. If the net present value of Project A is $12,405, then the size of each equal, end-of-period cash inflow, to the nearest
dollar, is
A. $19,979 C. $29,652
B. $21,863 D. $31,182
226
. If the cost of capital is 12%, the net present value of Project B, to the nearest dollar, is
A. ($18,112) C. $17,604
B. ($16,944) D. $19,420
227
. If Project C has an internal rate of return of 12%, then the cash inflow at the end of year three, to the nearest dollar,
is
A. $17,162 C. $24,126
B. $20,006 D. $24,981
228
. If the year three cash inflow for Project C is $46,000, then the payback period for is year(s).
A. B. C. D.
List A Project B Project B Project C Project C
List B One Two One Two
Questions 24 thru 29 are based on the following information. Gitman
Nuff Folding Box Company, Inc. is considering purchasing a new gluing machine. The gluing machine costs $50,000
and requires installation costs of $2,500. This outlay would be partially offset by the sale of an existing gluer. The
existing gluer originally cost $10,000 and is four years old. It is being depreciated under MACRS using a fiveyear
recovery schedule and can currently be sold for $15,000. The existing gluer has a remaining useful life of five years. If
held until year 5, the existing machine’s market value would be zero. Over its fiveyear life, the new machine should
reduce operating costs (excluding depreciation) by $17,000 per year. Training costs of employees who will operate the
new machine will be a onetime cost of $5,000 which should be included in the initial outlay. The new machine will be
depreciated under MACRS using a fiveyear recovery period. The firm has a 12 percent cost of capital and a 40 percent
tax on ordinary income and capital gains. - The payback period for the project is
A. 2 years. C. between 3 and 4 years.
B. 3 years. D. between 4 and 5 years. - The tax effect of the sale of the existing asset is
A. a tax liability of $2,340. C. a tax liability of $3,320.
B. a tax benefit of $1,500. D. a tax liability of $5,320. - The initial outlay for this project is
A. $42,820. C. $47,820.
B. $40,320. D. $35,140. - The present value of the project’s annual cash flows is
A. $ 47,820. C. $ 51,694.
B. $ 42,820. D. $100,563. - The net present value of the project is
A. $3,874. C. $5,614.
B. $2,445. D. $7,500. - The internal rate of return for the project is
A. between 7 and 8 percent. C. greater than 12 percent.
B. between 9 and 10 percent. D. between 10 and 11 percent.
Payback, NPV, IRR & Investment Decision
Questions 109 through 112 are based on the following information. CIA 1194 IV-31 to 33
A company is evaluating two investment proposals. Project A costs $700,000 and Project B costs $500,000.
Expected cash inflows for the two projects are as follows:
Year Cash Inflow at End of Year for Project A Cash Inflow at End of Year for Project B
1 $400,000 $250,000
2 $300,000 $250,000
3 $600,000 $250,000
Both projects are assessed as being equally risky and having an appropriate cost of capital of 10%.
For a 10% cost of capital, the following present value factors apply:
Number of
Years
Present Value of $1 Received
at End of Year n [PVIF]
Present Value of an Annuity of $1 Received at
End of Each Year for n Years [PVIFA]
1 .9091 .9091
2 .8264 1.7355
3 .7513 2.4873
For a 3-year annuity, the following present value factors apply:
Discount Rate Present Value of a 3-Year Annuity of $1 (PVIFA)
16 percent 2.2459
20 percent 2.1065
24 percent 1.9813
28 percent 1.8684
229
. Project A has a payback period of
A. 0 years. C. 2 years.
B. 1 year. D. 3 years. CIA 1194 IV-31
230
. Project A has a net present value (to the nearest dollar) of
A. $362,340 C. $1,676,670
B. $1,062,340 D. $2,376,670 CIA 1194 IV-32
231
. Which of the following most closely approximates the internal rate of return of Project B?
A. 16% C. 24%
B. 20% D. 28% CIA 1194 IV-33
232
. If projects A and B are independent, the company will undertake
A. Both projects. C. Only Project B.
B. Only Project A. D. Neither project. CIA 1194 IV-34
NPV & IRR
Questions 78 & 79 are based on the following information. G & N 9e
(Ignore income taxes in this problem.) Treads Corporation is considering the replacement of an old machine that is
currently being used. The old machine is fully depreciated but can be used by the corporation for five more years. If
Treads decides to replace the old machine, Picco Company has offered to purchase the old machine for $60,000. The
old machine would have no salvage value in five years.
The new machine would be acquired from Hillcrest Industries for $1,000,000 in cash. The new machine has an expected
useful life of five years with no salvage value. Due to the increased efficiency of the new machine, estimated annual
cash savings of $300,000 would be generated.
Treads Corporation uses a discount rate of 12%. - The net present value of the project is closest to: (M)
a. $171,000. c. $141,500.
b. $136,400. d. $560,000. - The internal rate of return of the project is closest to: (M)
a. 14%. c. 18%.
b. 16%. d. 20%.
Questions 89 and 90 are based on the following information. CIA 0597 IV-40 & 41
A firm with an 18% cost of capital is considering the following projects (on January 1, year 1):
January 1, Year 1
Cash Outflow
(000’s Omitted)
December 31, Year 5
Cash Inflow
(000’s Omitted)
Project Internal
Rate of Return
Project A $3,500 $7,400 16%
Project B 4,000 9,950 ?
Present Value of $1 due at the End of “N” Periods
N 12% 14% 15% 16% 18% 20% 22%
4 .6355 .5921 .5718 .5523 .5153 .4823 .4230
5 .5674 .5194 .4972 .4761 .4371 .4019 .3411
6 .5066 .4556 .4323 .4104 .3704 .3349 .2751
233
. Using the net-present-value (NPV) method, project A’s net present value is
a. $316,920 c. $(265,460)
b. $23,140 d. $(316,920)
234
. Project B’s internal rate of return is closed to
a. 15% c. 18%
b. 16% d. 20%
Questions 14 and 15 are based on the following information. RPCPA 0581
V. Ortega, Inc. is evaluating two alternative investment proposals, X & Y. Each project has estimated life of ten years.
All capital investments in this company are expected to yield a discounted rate of return of not less than 15%. Additional
information on the two projects and a present value (Present Value table are shown below.)
Project X Project Y
Net investment P60,000 P135,000
Annual return for each of 10 years P16,295 P 32,204
Present Value of P1 Received Annually for 10 years
Int. Rate Present Value Int. Rate Present Value
12% 5.650 20% 4.192
14% 5.216 22% 3.923
15% 5.019 24% 3.682
16% 4.833 25% 3.571
18% 4.494 26% 3.465
*. The discounted rate of return for each of the two projects are: (M)
a. b. c. d.
Project X 14% 22% 24% 24%
Project Y 18% 25% 20% 24%
*. Based on the minimum rate of return requirement of 15%, the net or excess present value of returns for each of the
two projects are (E)
a. b. c. d.
Project X P16,295 P21,785 P 81,785 P102,950
Project Y P32,204 P26,632 P161,632 P187,040
Questions 111 through 113 are based on the following information. CIA 0594 IV-40 to 42
A company that annually reviews its investment opportunities and selects appropriate capital expenditures for the
coming year is presented with two projects, called Project A and Project B. Best estimates indicate that the investment
outlay for Project A is $30,000 and for Project B is $1 million. The projects are considered to be equally risky. Project A
is expected to generate cash inflows of $40,000 at the end of each year for 2 years. Project B is expected to generate
cash inflows of $700,000 at the end of the first year and $500,000 at the end of the second year. The company has a
cost of capital of 8%.
235
. What is the net present value (NPV) of each project when the cost of capital is zero?
a. b. c. d.
Project A $30,000 $50,000 $80,000 $110,000
Project B $1,000,000 $200,000 $1,200,000 $2,200,000
236
. The internal rate of return of Project A, to the nearest full percentage point is
a. 10% c. 25%
b. 15% d. 100%
237
. Net present value (NPV) and internal rate of return (IRR) differ in that
a. NPV assumes reinvestment of project cash flows at the cost of capital, whereas IRR assumes reinvestment of
project cash flows at the internal rate of return.
b. NPV and IRR make different accept or reject decisions for independent projects.
c. IRR can be used to rank mutually exclusive investment projects, but NPV cannot.
d. NPV is expressed as a percentage, while IRR is expressed as a dollar amount.
Net Income, Incremental Cash Inflow, Payback Period & Discounted Rate of Return
*. The composite life of the company’s fixed assets was determined to be nine years at the end of 1993. One-tenth of
the 1993 balance is the net book value of an equipment line used for bottling operations. An investment opportunity
to replace this line was presented in the beginning of 1994 with the following additional data:
Disposal value of old line is equal to its net book value.
Cost of new line inclusive of civil works, installation and commissioning costs, P35,000. Estimated useful life is 15
years.
Immediate repairs needed on old line is P1,000
Income tax rate is 35%
Annual out-of-pocket operating costs: old line, P9,000; new line, P3,000
The table of present values include the following:
14% 16% 18% 20%
Present Value of P1 due 15 years 0.140 0.108 0.084 0.065
Present Value of P1 received annually for
15 years 6.142 5.575 5.092 4.675
Determine the net investment (NI), incremental cash inflow (CI), payback period (PP), and the discounted rate of
return (DRR) of the new investment. (D)
a. b. c. d.
NI P25,114,40 P25,764.40 P24,764.40 P25,414.40
CI P4,343.89 P3,075.63 P4,343.89 P4,343.89
PP 4.5 years 8.4 years 5.7 years 5.9 years
DRR 22.22% 11.91% 15.56% 16.95%
Investment Decisions
Questions 1 through 5 are based on the following information. RPCPA 1076
YOU are the management adviser of Masugid Company, a management company. It is presently considering the putting
in of certain concessions in the main lobby of an office building which it manages. Your study brought out the following
estimates on an average annual basis.
Salaries P 7,000
Licences and taxes 200
Cost of merchandise sold 40,000
Share of air conditioning and light 500
Pro rata building depreciation 1,000
Concession advertising 100
Share of company administrative costs 400
Sale of merchandise 49,000
The investment in equipment, which would last 10 years (no salvage value) would be P5,000. As an alternative, a
catering company has offered to lease for P750 per year, for 10 years, and to put in and operate by the office building at
no additional charge. In formulating your advice to the management of the company, you determine that:
*. The annual cash flow which you consider the incremental advantage in the ownership alternative is
a. P1,700 c. P1,900
b. P750 d. P9,000
*. Using the Present Value Table for 10 years (the period of the lease offer) and 10%, the yield of alternative
opportunities for this project (given that PV factors for 1 to 10 are 1.00; 0.909; 0.751; 0.683; 0.621, 0.564; 0.513;
0.467; 0.424; and 0.386) the present value of the lease alternatives is
a. P4,609 c. P750
b. P5,445 d. P1,700
*. The total of the costs irrelevant to the decision is
a. P9,000 d. P800
b. P1,000 e. none of these
c. P900
*. The net present value of the ownership alternative is
a. P9,000 c. P5,445
b. P1,000 d. P4,609
*. The total of the pertinent costs that entered your cash flow considerations is
a. P4,609 c. P47,300
b. P49,200 d. P9,200
Optimal Project Selection
238
. Jackson Corporation is evaluating the following four independent, investment opportunities:
Project Cost Rate of Return
A $300,000 14%
B 150,000 10
C 200,000 13
D 400,000 11
Jackson’s target capital structure is 60 percent debt and 40 percent equity. The yield to maturity on the company’s
debt is 10 percent. Jackson will incur flotation costs for a new equity issuance of 12 percent. The growth rate is a
constant 6 percent. The stock price is currently $35 per share for each of the 10,000 shares outstanding. Jackson
expects to earn net income of $100,000 this coming year and the dividend payout ratio will be 50 percent. If the
company’s tax rate is 30 percent, which of the projects will be accepted? (M)
a. Project A
b. Projects A and C
c. Projects A, C, and D
d. All of the investment projects will be taken.
e. None of the investment projects will be taken. Brigham
Optimal Capital Budget
239
. Gibson Inc. is considering the following five independent projects:
Project Cost IRR
A $200,000 20%
B 600,000 15
C 400,000 12
D 400,000 11
E 400,000 10
The company has a target capital structure that consists of 40 percent debt and 60 percent equity. The company
can issue bonds with a yield to maturity of 11 percent. The company has $600,000 in retained earnings, and the
current stock price is $42 per share. The flotation costs associated with issuing new equity are $2 per share.
Gibson’s earnings are expected to continue to grow at 6 percent per year. Next year’s dividend (D1) is forecasted to
be $4.00. The firm faces a 40 percent tax rate. What is the size of Gibson’s capital budget? (D)
a. $ 200,000 d. $1,600,000
b. $ 800,000 e. $2,000,000
c. $1,200,000 Brigham
240
. Photon Corporation has a target capital structure that consists of 60 percent equity and 40 percent debt. The firm
can raise an unlimited amount of debt at a before-tax cost of 9 percent. The company expects to retain earnings of
$300,000 in the coming year and to face a tax rate of 35 percent. The last dividend (D0) was $2 per share and the
growth rate of the company is constant at 6 percent. If the company needs to issue new equity, then the flotation
cost will be $5 per share. The current stock price (P0) is $30.Photon has the following investment opportunities:
Project Cost IRR
1 $100,000 10.5%
2 200,000 13.0
3 100,000 12.0
4 150,000 14.0
5 75,000 9.0
What is the company’s optimal capital budget? (D)
a. $625,000 d. $550,000
b. $450,000 e. $150,000
c. $350,000 Brigham
241
. Atlee Associates has a capital structure that consists of 40 percent debt and 60 percent common stock. The yield to
maturity on the company’s debt is 8 percent, the cost of retained earnings is 12 percent, and the cost of issuing new
equity is 13 percent. The company expects its net income to be $500,000, the dividend payout is expected to be 40
percent, and its tax rate is 40 percent. The company is considering five projects, all with the same risk. The size and
estimated returns of the proposed projects are listed below:
Project Cost IRR
A $200,000 11.00%
B 100,000 10.00
C 100,000 9.95
D 200,000 9.85
E 200,000 9.25
On the basis of this information,what is Atlee’s optimal capital budget? (D)
a. $800,000 d. $300,000
b. $600,000 e. $200,000
c. $400,000 Brigham
Questions 79 through 82 are based on the following information. (06-13-61 to 64)
A company has the following three investment projects available:
Project Cost Internal Rate of Return
A $ 50 million 14%
B $ 75 million 12%
C $125 million 8%
The company has a 40% debt and 60% equity capital structure. Each dollar of investment funds will be raised in these
proportions (40 cents of debt and 60 cents of equity.)
The marginal cost of financing increases with the amount of new funds raised, as follows:
Interval Amount Raised Weighted-Average Cost of Capital
1 First $ 75 million 6%
2 Next $100 million 10%
3 Over $175 million 12%
These investment opportunities and financing costs are shown in the graph below:
Percent
15 A
14
13 B 3
12 MCC
11 2
10
9 C
8 IOS
7 1
6
5
4
3
2
1
0 | | | | | | | | |
25 50 75 100 125 150 175 200 225
$ Million
MCC – Margin cost of capital
IOS – Investment opportunity schedule
242
. The investment opportunity schedule (IOS) shows, in rank order, how much money the company would invest at
different rates of return. Such schedules can be drawn only for a set of projects that
a. Have the same investment cost. c. Have the same net present value.
b. Are mutually exclusive. d. Are independent.
243
. The company should invest in Project(s) and has an optimal capital budget of million dollars.
a. b. c. d.
List A B only A and B only A and C only C only
List B 75 125 175 125
244
. Without prejudice to your answer to question 68, assume that the optimal capital budget for the company is $150
million. The marginal cost of capital and the appropriate discount rate to use in evaluating investment proposals for
this company would be
a. 6% c. 10%
b. 8% d. 12%
245
. The marginal cost of capital (MCC) curve for this company rises twice, first when the company has raised $75
million and again when $175 million of new funds has been raised. These increases in the MCC caused by the
a. Increases in the returns on the additional investments undertaken.
b. Decreases in the returns on the additional investments undertaken.
c. Decreases in the cost of at least one of the financing sources.
d. Increases in the cost of at least one of the financing sources.
Capital Lease
Questions 92 thru 94 are based on the following information. Pol Bobadilla
A firm must choose between leasing a new asset or purchasing it with funds from a term loan. Under the purchase
option, the firm will pay five equal principal payments of P1,000 each and 6% interest on the unpaid balance. Principal
and interest are due at the end of each year for five years. Alternatively, the firm can lease the asset for five years at an
annual rental cost of P1,400 with payments due at the beginning of each year. The corporate tax rate is 35% and the
appropriate after-tax cost of capital is 12%. - Which of the following is closes to the PV of the after-tax interest payment?
A. P360 C. P640
B. P453 D. P726 - Which of the following is closest to the present value of cost if leasing the asset?
A. P3,674 C. P3,849
B. P3,779 D. P3,992 - Which of the following is closest to the PV of cost of purchasing the new asset with a term loan?
A. 3,777 C. 4,058
B. 3,952 D. 4,153
Comprehensive
Questions 99 thru 101 are based on the following information. Pol Bobadilla
Logo Co. is planning to buy a coin-operated machine costing P40,000. For book and tax purposes, this machine will be
depreciated P8,000 each year for five years. Logo estimates that this machine will yield an annual cash inflow, net of
depreciation and income taxes, of P12,000. Logo’s desired rate of return on its investment is 12%. At the following
discount rates, the NPVs of the investment in this machine are:
Discount rate 12% 14% 16% 18%
NPV +P3,258 +P1,197 – P708 – P2,474 - Logo’s accounting rate of return on its initial investment in this machine is expected to be
A. 30% C. 12%
B. 15% D. 10%
100.Logo’s expected payback period for its investment in this machine is
A. 2.0 years. C. 3.3 years.
B. 3.0 years. D. 5.0 years
101.Logo’s expected IRR on its investment in this machine is
A. 3.3% C. 12.0%
B. 10.0% D. 15.3%
Questions 95 through 101 are based on the following information. CMA 1285 5-1 to 7
At the beginning of 1996, Garrison Corporation is considering the replacement of an old machine that is currently being
used. The old machine is fully depreciated but can be used by the corporation for an additional 5 years, that is, through - If Garrison decides to replace the old machine, Picco Company has offered to purchase it for $60,000 on the
replacement date. The old machine would have no salvage value in 2000.
If the replacement occurs, a new machine will be acquired from Hillcrest Industries on January 2, 1996. The purchase
price of $1,000,000 for the new machine will be paid in cash at the time of replacement. Because of the increased
efficiency of the new machine, estimated annual cash savings of $300,000 will be generated through 2000, the end of its
expected useful life. The new machine is not expected to have any salvage value at the end of 2000.
All operating cash receipts, operating cash expenditures, and applicable tax payments and credits are assumed to occur
at the end of the year. Garrison employs the calendar year for reporting purposes.
Discount tables for several different interest rates that are to be used in any discounting calculations are given below.
Present Value of $1.00 Received at End of Period
Period 9% 12% 15% 18% 21%
1 .92 .89 .87 .85 .83
2 .84 .80 .76 .72 .68
3 .77 .71 .65 .61 .56
4 .71 .64 .57 .51 .47
5 .65 .57 .50 .44 .39
Present Value of an Annuity of $1.00 Received at the End of Each Period
Period 9% 12% 15% 18% 21%
1 .92 .89 .87 .85 .83
2 1.76 1.69 1.63 1.57 1.51
3 2.53 2.40 2.28 2.18 2.07
4 3.24 3.04 2.85 2.69 2.54
5 3.89 3.61 3.35 3.13 2.93
For questions 96 through 98 only, assume that Garrison is not subject to income taxes.
246
. If Garrison requires investments to earn 12% return, the NPV for replacing the old machine with the new machine is
a. $171,000 c. $143,000
b. $136,400 d. $83,000 CMA 1285 5-1
247
. The IRR, to the nearest percent, to replace the old machine is
a. 9% c. 17%
b. 15% d. 18% CMA 1285 5-2
248
. The payback period to replace the old machine with the new machine is
a. 1.14 years. c. 3.13 years.
b. 2.78 years. d. 3.33 years. CMA 1285 5-3
Questions 98 through 101 are based on the following additional information.
The assumptions are
Garrison requires all investments to earn a 12% after-tax rate of return to be accepted.
Garrison is subject to a marginal income tax rate of 40% on all income and gains (losses).
The new machine will have depreciation as follows:
Year Depreciation
1996 $ 250,000
1997 380,000
1998 370,000
$1,000,000
249
. The present value of the depreciation tax shield for 1997 is
a. $182,400 c. $109,440
b. $121,600 d. $114,304 CMA 1285 5-7
250
. The present value of the after-tax cash flow associated with the salvage of the old machine is (M)
a. $38,640 c. $32,040
b. $36,000 d. $27,960 CMA 1285 5-5
251
. The present value of the annual after-tax cash savings that arise from the increased efficiency of the new machine
throughout its life (calculated before consideration of any depreciation tax shield) is
a. $563,400 c. $433,200
b. $375,600 d. $649,800 CMA 1285 5-6
252
. If the new machine is expected to be sold for $80,000 on December 31, 2000, the present value of the additional
after-tax cash flow is
a. $18,240 c. $45,600
b. $27,360 d. $46,000 CMA 1285 5-8
Questions 3 through 11 are based on the following information. RPCPA 0579
The Burgos Corporation is considering investing in a project. It requires an immediate cash outlay of P100,000. It has a
life of four years and will be depreciated on a straight-line basis (no salvage value). The firm’s tax rate is 25% and
requires a return of 10%. Income before depreciation is projected to be:
YEAR 1 2 3 4
Income before depreciation P30,000 P30,000 P40,000 P40,000
The present value factors for P1 at 10% is
Year 1 2 3 4
Present Value Factor 0.909 0.826 0.751 0.683
*. The net cash flow for year 1 is (M)
a. P25,850 c. P31,250
b. P28,750 d. P34,450
*. The net cash flow for year 4 is (M)
a. P35,850 c. P30,150
b. P35,950 d. P36,250
*. The payback period for the project is (M)
a. 3 years c. 3.5 years
b. 3.17 years d. 4 years.
*. The accounting rate of return of the project is253 (M)
a. 7% c. 12%
b. 9% d. 15% (?)
*. The present value of year two’s cash flow is (M)
a. P23,747.50 c. P26,100.75
b. P25,856.25 d. P29,750.75
*. The present value of the project’s net cash flow is (M)
a. P95,650.15 c. P101,863.75
b. P98,151.25 d. P104,750.25
*. The profitability index of the project (rounded to the nearest hundredth) is (M)
a. 0.96 c. 1.02
b. 0.98 d. 1.05
*. The project would be accepted on the basis of the (M)
a. Payback and present value results.
b. Accounting rate of return and profitability index results.
c. Payback results only
d. a and b combined
*. The project would be rejected on the basis of the (M)
a. Payback and present value results.
b. Accounting rate of return and profitability index results.
c. Payback results only
d. a and b combined
e. None of the above.