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Better Mousetraps has developed a new trap. It can go into production for an initial investment in equipment of $6.3
million. The equipment will be depreciated straight line over 6 years to a value of zero, but in fact it can be sold after
6 years for $695,000. The firm believes that working capital at each date must be maintained at a level of 10% of
next year’s forecast sales. The firm estimates production costs equal to $1.80 per trap and believes that the traps
can be sold for $7 each. Sales forecasts are given in the following table. The project will come to an end in 6 years,
when the trap becomes technologically obsolete. The firm’s tax bracket is 35%, and the required rate of return on
the project is 11%. Use the MACRS depreciation schedule
.
Year:
0
1
2
3
4
5
6
Thereafter
Sales (millions of traps)
0
0.6
0.8
0.9
0.9
0.5
0.2
0
a. What is project NPV?
Note: Negative amount should be indicated by a minus sign. Do not round intermediate calculations. Enter
your answer in millions rounded to 4 decimal places.
b. By how much would NPV increase if the firm depreciated its investment using the 5-year MACRS schedule?
Note: Do not round intermediate calculations. Enter your answer in whole dollars not in millions.
rev: 10_05_2023_QC_HETS-15608
Better Mousetraps has developed a new trap. It can go into production for an initial investment in equipment of $6.3
million. The equipment will be depreciated straight line over 6 years to a value of zero, but in fact it can be sold after
6 years for $695,000. The firm believes that working capital at each date must be maintained at a level of 10% of
NPV
million
The NPV increases by
next year’s forecast sales. The firm estimates production costs equal to $1.80 per trap and believes that the traps
can be sold for $7 each. Sales forecasts are given in the following table. The project will come to an end in 6 years,
when the trap becomes technologically obsolete. The firm’s tax bracket is 35%, and the required rate of return on
the project is 11%. Use the MACRS depreciation schedule
.
Year:
0
1
2
3
4
5
6
Thereafter
Sales (millions of traps)
0
0.6
0.8
0.9
0.9
0.5
0.2
0
a. What is project NPV?
Note: Negative amount should be indicated by a minus sign. Do not round intermediate calculations. Enter
your answer in millions rounded to 4 decimal places.
b. By how much would NPV increase if the firm depreciated its investment using the 5-year MACRS schedule?
Note: Do not round intermediate calculations. Enter your answer in whole dollars not in millions.
rev: 10_05_2023_QC_HETS-15608
Explanation:
Some values below may show as rounded for display purposes, though unrounded numbers should be used for
actual calculations.
All cash flows are in millions of dollars. Sales price of machinery in year 6 is shown on an after-tax basis as a
positive cash flow on the capital investment line.
Year
0
1
2
3
4
5
6
Sales units
0.60
0.80
0.90
0.90
0.50
0.20
Revenue
0.00
4.20
5.60
6.30
6.30
3.50
1.40
NWC
0.42
0.56
0.63
0.63
0.35
0.14
0.00
Cash flow NWC
−
0.42
−
0.14
−
0.07
0.00
0.28
0.21
0.14
a. Straightline Depreciation
Year
0
1
2
3
4
5
6
Revenue
4.2000
5.6000
6.3000
6.3000
3.5000
1.4000
Expenses
1.0800
1.4400
1.6200
1.6200
0.9000
0.3600
Depreciation
1.0500
1.0500
1.0500
1.0500
1.0500
1.0500
Pretax profit
2.0700
3.1100
3.6300
3.6300
1.5500
−
0.0100
Tax
0.7245
1.0885
1.2705
1.2705
0.5425
−
0.0035
Net income
1.3455
2.0215
2.3595
2.3595
1.0075
−
0.0065
OCF
2.3955
3.0715
3.4095
3.4095
2.0575
1.0435
Cash flow investment
−
6.3000
0.4518
Cash flow NWC
−
0.4200
−
0.1400
−
0.0700
0.0000
0.2800
0.2100
0.1400
OCF
0.0000
2.3955
3.0715
3.4095
3.4095
2.0575
1.0435
Total cash flow
−
6.7200
2.2555
3.0015
3.4095
3.6895
2.2675
1.6353
PV of cash flow
−
6.7200
2.0320
2.4361
2.4930
2.4304
1.3457
0.8743
NPV
−
4.8914
+/-
1%
$
NPV
4.8914
million
+/-
0
.
1%
$
The NPV increases by
110,791
b. MACRS depreciation
Year
0
1
2
3
4
5
6
Revenue
4.2000
5.6000
6.3000
6.3000
3.5000
1.4000
Expenses
1.0800
1.5000
1.6200
1.6200
0.9000
0.3600
Depreciation
1.2600
2.0160
1.2096
0.7258
0.7258
0.3629
Pretax profit
1.8600
2.1440
3.4704
3.9542
1.8742
0.6771
Tax
0.6510
0.7504
1.2146
1.3840
0.6560
0.2370
Net income
1.2090
1.3936
2.2558
2.5703
1.2183
0.4401
OCF
2.4690
3.4096
3.4654
3.2960
1.9440
0.8030
Cash flow investment
−
6.3000
0.4518
Cash flow NWC
−
0.4200
−
0.1400
−
0.0700
0.0000
0.2800
0.2100
0.1400
OCF
0.0000
2.4690
3.4096
3.4654
3.2960
1.9440
0.8030
Total cash flow
−
6.7200
2.3290
3.3396
3.4654
3.5760
2.1540
1.3948
PV of cash flow
−
6.7200
2.0982
2.7105
2.5338
2.3556
1.2783
0.7457
NPV
5.0022
Change in NPV = $110,791
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