25) The term
net present value
means the difference between:
A) the total net income of the project and the initial investment.
B) the initial investment and the residual value.
C) the future value of the cash flows and the present value of the cash flows.
D) present value of the net inflows and the investment's cost.
Answer: D
Diff: 2
LO: 21-4
EOC Ref: E21-22
AACSB: Analytic Skills
AICPA Business: Critical Thinking
AICPA Functional: Measurement
26) Which of the following most accurately describes the
discount rate
used in NPV and IRR analyses?
A) The rate of inflation
B) The rate of interest earned on a savings account
C) The required rate of return, also known as the "hurdle rate"
D) The rate of interest charged for debt financing of an investment
Answer: C
Diff: 1
LO: 21-4
EOC Ref: Accounting Vocabulary
AACSB: Content/Knowledge
AICPA Business: Critical Thinking
AICPA Functional: Measurement
27) When a company is evaluating an investment with discounted cash flows, if the investment has a higher risk, the company will use a lower discount rate, and vice versa.
Answer: FALSE
Diff: 1
LO: 21-4
EOC Ref: E21-22
AACSB: Content/Knowledge
AICPA Business: Critical Thinking
AICPA Functional: Measurement
28) Alpha Company is considering an investment of $1,000,000 in a land development project. It will yield cash flows of $300,000 for 5 years. Alpha uses a discount rate of 7%. What is the net present value of the investment?
Present Value of an Annuity of $1
|
|
|
|
|
|
|
|
5%
|
6%
|
7%
|
8%
|
9%
|
10%
|
1
|
0.952
|
0.943
|
0.935
|
0.926
|
0.917
|
0.909
|
2
|
1.859
|
1.833
|
1.808
|
1.783
|
1.759
|
1.736
|
3
|
2.723
|
2.673
|
2.624
|
2.577
|
2.531
|
2.487
|
4
|
3.546
|
3.465
|
3.387
|
3.312
|
3.240
|
3.170
|
5
|
4.329
|
4.212
|
4.100
|
3.993
|
3.890
|
3.791
|
A) $230,000
B) $312,000
C) $330,000
D) $444,000
Answer: A
Explanation: A) Calculations: $1,000,000 - (4.100 × $300,000) = $230,000
Diff: 2
LO: 21-4
EOC Ref: E21-22
AACSB: Analytic Skills
AICPA Business: Critical Thinking
AICPA Functional: Measurement
29) Beta Company is considering an investment in a new storage facility that would require an initial outlay of $250,000, and would yield yearly cash flows of $48,000 for 8 years. Beta uses a discount rate of 7% What is the NPV of the investment?
Present Value of an Annuity of $1
|
|
|
|
|
|
|
|
5%
|
6%
|
7%
|
8%
|
9%
|
10%
|
1
|
0.952
|
0.943
|
0.935
|
0.926
|
0.917
|
0.909
|
2
|
1.859
|
1.833
|
1.808
|
1.783
|
1.759
|
1.736
|
3
|
2.723
|
2.673
|
2.624
|
2.577
|
2.531
|
2.487
|
4
|
3.546
|
3.465
|
3.387
|
3.312
|
3.240
|
3.170
|
5
|
4.329
|
4.212
|
4.100
|
3.993
|
3.890
|
3.791
|
6
|
5.076
|
4.917
|
4.767
|
4.623
|
4.486
|
4.355
|
7
|
5.786
|
5.582
|
5.389
|
5.206
|
5.033
|
4.868
|
8
|
6.463
|
6.210
|
5.971
|
5.747
|
5.535
|
5.335
|
9
|
7.108
|
6.802
|
6.515
|
6.247
|
5.995
|
5.759
|
10
|
7.722
|
7.360
|
7.024
|
6.710
|
6.418
|
6.145
|
A) $36,608
B) $24,177
C) $13,184
D) $44,000
Answer: A
Explanation: A) Calculations: $250,000 - (5.971 × $48,000) = $36,608
Diff: 2
LO: 21-4
EOC Ref: E21-22
AACSB: Analytic Skills
AICPA Business: Critical Thinking
AICPA Functional: Measurement
30) Centurion Company is considering a mineral extraction project which requires an initial investment of $2,000,000 and will yield annual cash flows of $300,000 for 8 years. Centurion has an 8% hurdle rate. What is the NPV of the project?
Present Value of an Annuity of $1
|
|
|
|
|
|
|
|
5%
|
6%
|
7%
|
8%
|
9%
|
10%
|
1
|
0.952
|
0.943
|
0.935
|
0.926
|
0.917
|
0.909
|
2
|
1.859
|
1.833
|
1.808
|
1.783
|
1.759
|
1.736
|
3
|
2.723
|
2.673
|
2.624
|
2.577
|
2.531
|
2.487
|
4
|
3.546
|
3.465
|
3.387
|
3.312
|
3.240
|
3.170
|
5
|
4.329
|
4.212
|
4.100
|
3.993
|
3.890
|
3.791
|
6
|
5.076
|
4.917
|
4.767
|
4.623
|
4.486
|
4.355
|
7
|
5.786
|
5.582
|
5.389
|
5.206
|
5.033
|
4.868
|
8
|
6.463
|
6.210
|
5.971
|
5.747
|
5.535
|
5.335
|
9
|
7.108
|
6.802
|
6.515
|
6.247
|
5.995
|
5.759
|
10
|
7.722
|
7.360
|
7.024
|
6.710
|
6.418
|
6.145
|
A) Positive $275,900
B) Negative $275,900
C) Positive $103,184
D) Negative $240,000
Answer: B
Explanation: B) Calculations: $2,000,000 - (5.747 × $300,000) = ($275,900)
Diff: 2
LO: 21-4
EOC Ref: E21-22
AACSB: Analytic Skills
AICPA Business: Critical Thinking
AICPA Functional: Measurement
31) Which of the following would be the best basis on which to accept an investment opportunity?
A) If it has positive net cash flows
B) If it has a payback period in less than 10 years
C) If the investment's rate of return is higher than the company's current year rate of return
D) If the net present value of all cash flows is positive
Answer: D
Diff: 1
LO: 21-4
EOC Ref: E21-22
AACSB: Analytic Skills
AICPA Business: Critical Thinking
AICPA Functional: Measurement
32) Please refer to the following data about an investment opportunity:
Initial investment
|
$500,000
|
Discount rate
|
10%
|
Yearly cash flows
|
|
Year 1
|
$100,000
|
Year 2
|
$200,000
|
Year 3
|
$200,000
|
Year 4
|
$200,000
|
Year 5
|
$100,000
|
Refer to the following table for PV factors:
Present Value of $1
|
|
|
|
|
|
|
|
5%
|
6%
|
7%
|
8%
|
9%
|
10%
|
1
|
0.952
|
0.943
|
0.935
|
0.926
|
0.917
|
0.909
|
2
|
0.907
|
0.890
|
0.873
|
0.857
|
0.842
|
0.826
|
3
|
0.864
|
0.840
|
0.816
|
0.794
|
0.772
|
0.751
|
4
|
0.823
|
0.792
|
0.763
|
0.735
|
0.708
|
0.683
|
5
|
0.784
|
0.747
|
0.713
|
0.681
|
0.650
|
0.621
|
6
|
0.746
|
0.705
|
0.666
|
0.630
|
0.596
|
0.564
|
7
|
0.711
|
0.665
|
0.623
|
0.583
|
0.547
|
0.513
|
8
|
0.677
|
0.627
|
0.582
|
0.540
|
0.502
|
0.467
|
9
|
0.645
|
0.592
|
0.544
|
0.500
|
0.460
|
0.424
|
10
|
0.614
|
0.558
|
0.508
|
0.463
|
0.422
|
0.386
|
How much is the NPV of the project?
A) $9,500 negative
B) $94,220 positive
C) $105,000 positive
D) $240,000 positive
33) Please refer to the following data about an investment opportunity:
Initial investment
|
$1,000,000
|
Discount rate
|
7%
|
Yearly cash flows
|
|
Year 1
|
$250,000
|
Year 2
|
$350,000
|
Year 3
|
$400,000
|
Year 4
|
$150,000
|
Refer to the following PV factors:
Present Value of $1
|
|
|
|
|
|
|
|
5%
|
6%
|
7%
|
8%
|
9%
|
10%
|
1
|
0.952
|
0.943
|
0.935
|
0.926
|
0.917
|
0.909
|
2
|
0.907
|
0.890
|
0.873
|
0.857
|
0.842
|
0.826
|
3
|
0.864
|
0.840
|
0.816
|
0.794
|
0.772
|
0.751
|
4
|
0.823
|
0.792
|
0.763
|
0.735
|
0.708
|
0.683
|
5
|
0.784
|
0.747
|
0.713
|
0.681
|
0.650
|
0.621
|
6
|
0.746
|
0.705
|
0.666
|
0.630
|
0.596
|
0.564
|
7
|
0.711
|
0.665
|
0.623
|
0.583
|
0.547
|
0.513
|
8
|
0.677
|
0.627
|
0.582
|
0.540
|
0.502
|
0.467
|
9
|
0.645
|
0.592
|
0.544
|
0.500
|
0.460
|
0.424
|
10
|
0.614
|
0.558
|
0.508
|
0.463
|
0.422
|
0.386
|
What is the NPV of the project?
A) $150,000 negative
B) $19,000 positive
C) $21,455 positive
D) $19,850 negative
34) Farragut Company is evaluating an opportunity to invest $45,000 in new manufacturing equipment. It will have a useful life of 3 years, and will generate $20,000 cash flows at the end of Year 1, $30,000 of cash flows at the end of Year 2, and $10,000 of cash flows at the end of Year 3. If Farragut uses a discount rate of 5%, what is the NPV of the project?
Present Value of $1
|
|
|
|
|
|
|
|
5%
|
6%
|
7%
|
8%
|
9%
|
10%
|
1
|
0.952
|
0.943
|
0.935
|
0.926
|
0.917
|
0.909
|
2
|
0.907
|
0.890
|
0.873
|
0.857
|
0.842
|
0.826
|
3
|
0.864
|
0.840
|
0.816
|
0.794
|
0.772
|
0.751
|
4
|
0.823
|
0.792
|
0.763
|
0.735
|
0.708
|
0.683
|
5
|
0.784
|
0.747
|
0.713
|
0.681
|
0.650
|
0.621
|
6
|
0.746
|
0.705
|
0.666
|
0.630
|
0.596
|
0.564
|
7
|
0.711
|
0.665
|
0.623
|
0.583
|
0.547
|
0.513
|
8
|
0.677
|
0.627
|
0.582
|
0.540
|
0.502
|
0.467
|
9
|
0.645
|
0.592
|
0.544
|
0.500
|
0.460
|
0.424
|
10
|
0.614
|
0.558
|
0.508
|
0.463
|
0.422
|
0.386
|
A) $944 negative
B) $1,008 positive
C) $4,100 positive
D) $9,890 positive