Suppose you are considering an investment project that requires $800,000, has a six-year life, and has a salvage value of $100,000. Sales volume is projected to be 65,000 units per year. Price per unit is $63, variable cost per unit is $42, and fixed costs are $532,000 per year. The depreciation method is a five-year MACRS. The tax rate is 35% and you expect a 20% return on this investment. it MODO desisti

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
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Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
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Chapter17: Long-term Investment Analysis
Section: Chapter Questions
Problem 2E
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Suppose you are considering an investment project that requires $800,000, has a six-year life, and has a salvage value of $100,000. Sales volume is projected to be 65,000 units per year.
Price per unit is $63, variable cost per unit is $42, and fixed
costs are $532,000 per year. The depreciation method is a five-year MACRS. The tax rate is 35% and you expect a 20% return on this investment.
Click the icon to view the MACRS depreciation schedules.
Click the icon to view the interest factors for discrete compounding when i = 20% per year.
(a) Determine the break-even sales volume.
The break-even sales volume is units. (Round to the nearest whole number.)
(b) Calculate the cash flows of the base case over six years and its NPW. Fill in the table below. (Round to the nearest dollar.)
Period
0
1
2
3
4
5
CO
6
Annual Net Cash Flow
$
$
$
$
$
$
$
The NPW of the project based on its base-case scenario is $ (Round to the nearest dollar.)
(c) If the sales price per unit increases to $400, what is the required break-even volume?
The required break-even sales volume is units. (Round to the nearest whole number.)
(d) Suppose the projections given for price, sales volume, variable costs, and fixed costs are all accurate to within ± 15%. What would be the NPW figures of the best-case and worst-case
scenarios?
The NPW of the project based on its best-case scenario is $
The NPW of the project based on its worst-case scenario is $. (Round to the nearest dollar.)
(Round to the nearest dollar.)
Transcribed Image Text:Suppose you are considering an investment project that requires $800,000, has a six-year life, and has a salvage value of $100,000. Sales volume is projected to be 65,000 units per year. Price per unit is $63, variable cost per unit is $42, and fixed costs are $532,000 per year. The depreciation method is a five-year MACRS. The tax rate is 35% and you expect a 20% return on this investment. Click the icon to view the MACRS depreciation schedules. Click the icon to view the interest factors for discrete compounding when i = 20% per year. (a) Determine the break-even sales volume. The break-even sales volume is units. (Round to the nearest whole number.) (b) Calculate the cash flows of the base case over six years and its NPW. Fill in the table below. (Round to the nearest dollar.) Period 0 1 2 3 4 5 CO 6 Annual Net Cash Flow $ $ $ $ $ $ $ The NPW of the project based on its base-case scenario is $ (Round to the nearest dollar.) (c) If the sales price per unit increases to $400, what is the required break-even volume? The required break-even sales volume is units. (Round to the nearest whole number.) (d) Suppose the projections given for price, sales volume, variable costs, and fixed costs are all accurate to within ± 15%. What would be the NPW figures of the best-case and worst-case scenarios? The NPW of the project based on its best-case scenario is $ The NPW of the project based on its worst-case scenario is $. (Round to the nearest dollar.) (Round to the nearest dollar.)
W N N
1
2
3
4
01
5
60099
7
8
10
Single Payment
Compound Present
Amount
Worth
Factor
Factor
(F/P, i, N)
(P/F, i, N)
1.2000
0.8333
1.4400
0.6944
1.7280
0.5787
2.0736
0.4823
2.4883
0.4019
2.9860
3.5832
4.2998
5.1598
6.1917
0.3349
0.2791
0.2326
0.1938
0.1615
Print
Compound
Amount
Factor
(F/A, i, N)
1.0000
2.2000
3.6400
5.3680
7.4416
9.9299
12.9159
16.4991
20.7989
25.9587
Equal Payment Series
Sinking
Fund
Factor
(A/F, i, N)
1.0000
0.4545
0.2747
0.1863
0.1344
0.1007
0.0774
0.0606
0.0481
0.0385
Done
Present
Worth
Factor
(P/A, i, N)
0.8333
1.5278
2.1065
2.5887
2.9906
J
3.3255
3.6046
3.8372
4.0310
4.1925
Capital
Recovery
Factor
(A/P, i, N)
1.2000
0.6545
0.4747
0.3863
0.3344
0.3007
0.2774
0.2606
0.2481
0.2385
Year n
123456
2
N
7
8
9
10
11
12
13
Class
Depreciation
rate
3
200%
33.33
44.45
14.81*
7.41
5
200%
20.00
32.00
19.20
11.52*
11.52
5.76
14
15
16
17
18
19
20
21
* Year to switch from declining balance to straight line
7
200%
14.29
24.49
17.49
12.49
8.93*
8.92
8.93
4.46
10
200%
10.00
18.00
14.40
11.52
9.22
7.37
6.55*
6.55
6.56
6.55
3.28
15
150%
5.00
9.50
8.55
7.70
6.93
6.23
5.90*
5.90
5.91
5.90
5.91
5.90
5.91
5.90
5.91
2.95
20
150%
3.750
7.219
6.677
6.177
5.713
5.285
4.888
4.522
4.462*
4.461
4.462
4.461
4.462
4.461
4.462
4.461
4.462
4.461
4.462
4.461
2.231
Transcribed Image Text:W N N 1 2 3 4 01 5 60099 7 8 10 Single Payment Compound Present Amount Worth Factor Factor (F/P, i, N) (P/F, i, N) 1.2000 0.8333 1.4400 0.6944 1.7280 0.5787 2.0736 0.4823 2.4883 0.4019 2.9860 3.5832 4.2998 5.1598 6.1917 0.3349 0.2791 0.2326 0.1938 0.1615 Print Compound Amount Factor (F/A, i, N) 1.0000 2.2000 3.6400 5.3680 7.4416 9.9299 12.9159 16.4991 20.7989 25.9587 Equal Payment Series Sinking Fund Factor (A/F, i, N) 1.0000 0.4545 0.2747 0.1863 0.1344 0.1007 0.0774 0.0606 0.0481 0.0385 Done Present Worth Factor (P/A, i, N) 0.8333 1.5278 2.1065 2.5887 2.9906 J 3.3255 3.6046 3.8372 4.0310 4.1925 Capital Recovery Factor (A/P, i, N) 1.2000 0.6545 0.4747 0.3863 0.3344 0.3007 0.2774 0.2606 0.2481 0.2385 Year n 123456 2 N 7 8 9 10 11 12 13 Class Depreciation rate 3 200% 33.33 44.45 14.81* 7.41 5 200% 20.00 32.00 19.20 11.52* 11.52 5.76 14 15 16 17 18 19 20 21 * Year to switch from declining balance to straight line 7 200% 14.29 24.49 17.49 12.49 8.93* 8.92 8.93 4.46 10 200% 10.00 18.00 14.40 11.52 9.22 7.37 6.55* 6.55 6.56 6.55 3.28 15 150% 5.00 9.50 8.55 7.70 6.93 6.23 5.90* 5.90 5.91 5.90 5.91 5.90 5.91 5.90 5.91 2.95 20 150% 3.750 7.219 6.677 6.177 5.713 5.285 4.888 4.522 4.462* 4.461 4.462 4.461 4.462 4.461 4.462 4.461 4.462 4.461 4.462 4.461 2.231
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