Question

In: Accounting

we are evaluating a project that cost $690,000, has a five-yeqar life, and has no salvage...

we are evaluating a project that cost $690,000, has a five-yeqar life, and has no salvage value. assume that depreciation is straight line to zero over the project. sales are projected at $71000 units per year. prices per unit is $75, variable cost per unit $50 and fixed cost are $790000 per year. The tax rate is 35% and are are require a return of 15% on this project. suppose the projections given for price, quantity, variable cost, and fixed costs are all accurate to within = or - 10% what are the worse and best case npv

Solutions

Expert Solution

1) BASE CASE:
Sales units 71000
Sales price per unit $                 75.00
Variable cost per unit $                 50.00
Fixed cost $      790,000.00
Initial project cost $      690,000.00
OCF:
Sales revenue $   5,325,000.00
Variable cost $   3,550,000.00
Fixed cost $      790,000.00
Depreciation $      138,000.00
EBIT $      847,000.00
Tax at 35% $      296,450.00
NOPAT $      550,550.00
Add: Depreciation $      138,000.00
OCF $      688,550.00
PVIFA(15,5) 3.35216
PV of OCF $   2,308,126.39
Initial project cost $      690,000.00
NPV $   1,618,126.39
2) BEST CASE:
Sales units (71000*110%) 78100
Sales price per unit (75*110%) $                 82.50
Variable cost per unit (50*90%) $                 45.00
Fixed cost (790000*90%) $      711,000.00
Initial project cost $      690,000.00
OCF:
Sales revenue $   6,443,250.00
Variable cost $   3,514,500.00
Fixed cost $      711,000.00
Depreciation $      138,000.00
EBIT $   2,079,750.00
Tax at 35% $      727,912.50
NOPAT $   1,351,837.50
Add: Depreciation $      138,000.00
OCF $   1,489,837.50
PVIFA(15,5) 3.35216
PV of OCF $   4,994,166.37
Initial project cost $      690,000.00
NPV $   4,304,166.37
3) WORST CASE:
Sales units (71000*90%) 63900
Sales price per unit (75*90%) $                 67.50
Variable cost per unit (50*110%) $                 55.00
Fixed cost (790000*110%) $      869,000.00
Initial project cost $      690,000.00
OCF:
Sales revenue $   4,313,250.00
Variable cost $   3,514,500.00
Fixed cost $      869,000.00
Depreciation $      138,000.00
EBIT $    (208,250.00)
Tax at 35% $      (72,887.50)
NOPAT $    (135,362.50)
Add: Depreciation $      138,000.00
OCF $           2,637.50
PVIFA(15,5) 3.35216
PV of OCF $           8,841.31
Initial project cost $      690,000.00
NPV $    (681,158.69)

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