Poulsen Industries is analyzing an average-risk project, and the following data
ID: 2766905 • Letter: P
Question
Poulsen Industries is analyzing an average-risk project, and the following data have been developed. Unit sales will be constant, but the sales price should increase with inflation. Fixed costs will also be constant, but variable costs should rise with inflation. The project should last for 3 years, it will be depreciated on a straight-line basis, and there will be no salvage value. This is just one of many projects for the firm, so any losses can be used to offset gains on other firm projects. The marketing manager does not think it is necessary to adjust for inflation since both the sales price and the variable costs will rise at the same rate, but the CFO thinks an adjustment is required. What is the difference in the expected NPV if the inflation adjustment is made vs. if it is not made? $13,286 $13,985 $14,721 $15,457 $16,230Explanation / Answer
Answer is (c)
Working:
NPV with no inflation adjustment
t=0
t=1
t=2
t=3
Investment cost
WACC=10%
$ (200,000)
Inflation
0.00%
0.00%
0.00%
Price per unit
$ 25
$ 25
$ 25
VC per unit
$ 20
$ 20
$ 20
Unit sold
$ 50,000
$ 50,000
$ 50,000
Sales Revenue
$ 1,250,000
$ 1,250,000
$ 1,250,000
Fixed Cost
$ 150,000
$ 150,000
$ 150,000
Variable Cost
$ 1,010,000
$ 1,010,000
$ 1,010,000
Depreciation
Rate=33.33%
$ 66,660
$ 66,660
$ 66,660
Operating Income
$ 23,340
$ 90,000
$ 90,000
Taxes
Rate=35%
$ 8,169
$ 31,500
$ 31,500
Profit after taxes
$ 15,171
$ 58,500
$ 58,500
Depreciation
Rate=33.33%
$ 66,660
$ 66,660
$ 66,660
Operating cash flow
$ (200,000)
$ 81,831
$ 125,160
$ 125,160
PVF@10%
$ 1
$ 1
$ 1
$ 1
PV
$ (200,000)
$ 74,392
$ 103,438
$ 94,035
$ 71,864
NPV with inflation adjustment
NPV with no adjustment
t=0
t=1
t=2
t=3
Investment cost
WACC=10%
$ (200,000)
Inflation
4.00%
4.00%
4.00%
Price per unit
$ 25
$ 26
$ 27
VC per unit
$ 20
$ 21
$ 22
Unit sold
$ 50,000
$ 50,000
$ 50,000
Sales Revenue
$ 1,250,000
$ 1,300,000
$ 1,352,000
Fixed Cost
$ 150,000
$ 150,000
$ 150,000
Variable Cost
$ 1,010,000
$ 1,050,400
$ 1,092,500
Depreciation
Rate=33.33%
$ 66,660
$ 66,660
$ 66,660
Operating Income
$ 23,340
$ 99,600
$ 109,500
Taxes
Rate=35%
$ 8,169
$ 34,860
$ 38,325
Profit after taxes
$ 15,171
$ 64,740
$ 71,175
Depreciation
Rate=33.33%
$ 66,660
$ 66,660
$ 66,660
Operating cash flow
$ (200,000)
$ 81,831
$ 131,400
$ 137,835
PVF@10%
$ 1
$ 1
$ 1
$ 1
PV
$ (200,000)
$ 74,392
$ 108,595
$ 103,557
$ 86,544
Diffrence
14679.9399
NPV with no inflation adjustment
t=0
t=1
t=2
t=3
Investment cost
WACC=10%
$ (200,000)
Inflation
0.00%
0.00%
0.00%
Price per unit
$ 25
$ 25
$ 25
VC per unit
$ 20
$ 20
$ 20
Unit sold
$ 50,000
$ 50,000
$ 50,000
Sales Revenue
$ 1,250,000
$ 1,250,000
$ 1,250,000
Fixed Cost
$ 150,000
$ 150,000
$ 150,000
Variable Cost
$ 1,010,000
$ 1,010,000
$ 1,010,000
Depreciation
Rate=33.33%
$ 66,660
$ 66,660
$ 66,660
Operating Income
$ 23,340
$ 90,000
$ 90,000
Taxes
Rate=35%
$ 8,169
$ 31,500
$ 31,500
Profit after taxes
$ 15,171
$ 58,500
$ 58,500
Depreciation
Rate=33.33%
$ 66,660
$ 66,660
$ 66,660
Operating cash flow
$ (200,000)
$ 81,831
$ 125,160
$ 125,160
PVF@10%
$ 1
$ 1
$ 1
$ 1
PV
$ (200,000)
$ 74,392
$ 103,438
$ 94,035
$ 71,864
NPV with inflation adjustment
NPV with no adjustment
t=0
t=1
t=2
t=3
Investment cost
WACC=10%
$ (200,000)
Inflation
4.00%
4.00%
4.00%
Price per unit
$ 25
$ 26
$ 27
VC per unit
$ 20
$ 21
$ 22
Unit sold
$ 50,000
$ 50,000
$ 50,000
Sales Revenue
$ 1,250,000
$ 1,300,000
$ 1,352,000
Fixed Cost
$ 150,000
$ 150,000
$ 150,000
Variable Cost
$ 1,010,000
$ 1,050,400
$ 1,092,500
Depreciation
Rate=33.33%
$ 66,660
$ 66,660
$ 66,660
Operating Income
$ 23,340
$ 99,600
$ 109,500
Taxes
Rate=35%
$ 8,169
$ 34,860
$ 38,325
Profit after taxes
$ 15,171
$ 64,740
$ 71,175
Depreciation
Rate=33.33%
$ 66,660
$ 66,660
$ 66,660
Operating cash flow
$ (200,000)
$ 81,831
$ 131,400
$ 137,835
PVF@10%
$ 1
$ 1
$ 1
$ 1
PV
$ (200,000)
$ 74,392
$ 108,595
$ 103,557
$ 86,544
Diffrence
14679.9399
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