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Year 0 Year 1 Year 2 Year 3 Revenues 500,000 500,000 500,000 - Cost of Goods Sold -150,000 -150,000 -150,000 - Depreciation -100,000 -100,000 -100,000

Year 0 Year 1 Year 2 Year 3
Revenues 500,000 500,000 500,000
- Cost of Goods Sold -150,000 -150,000 -150,000
- Depreciation -100,000 -100,000 -100,000
= EBIT 250,000 250,000 250,000
- Taxes (35%) -87,500 -87,500 -87,500
= Incremental Net Income 162,500 162,500 162,500
+ Depreciation +100,000 +100,000 +100,000
- Change in NWC -20,000 -20,000 -20,000
- Capital Expenditures -300,000
= Incremental Free Cash Flow -300,000 242,500 242,500 242,500

Visby Rides, a livery car company, is considering buying some new luxury cars. After extensive research, they come up with the above estimates of free cash flow from this project. The depreciation schedule shown is for three-year, straight-line depreciation. By how much would the net present value (NPV) of this project be increased, if the cars were depreciated by the MACRS schedule shown below given that the cost of capital is 10%?

Year 0 Year 1 Year 2 Year 3
MACRS Depreciation Rate 33.33% 44.45% 14.81% 7.41%

[Hint: If the cars were depreciated by the MACRS schedule, then the pro forma statement would look like the following:

Year 0 Year 1 Year 2 Year 3
Revenues 500,000 500,000 500,000
- Cost of Goods Sold -150,000 -150,000 -150,000
- Depreciation =-300,000x33.33% =-300,000x44.45% =-300,000x14.81% =-300,000x7.41%
= EBIT =-300,000x33.33% =500,000-150,000-300,000x44.45% =500,000-150,000-300,000x14.81% =500,000-150,000-300,000x7.41%
- Taxes (35%) =-EBITx35% =-EBITx35% =-EBITx35% =-EBITx35%
= Incremental Net Income =EBIT-Taxes =EBIT-Taxes =EBIT-Taxes =EBIT-Taxes
+ Depreciation +300,000x33.33% +300,000x44.45% +300,000x14.81% +300,000x7.41%
- Change in NWC -20,000 -20,000 -20,000
- Capital Expenditures -300,000
= Incremental Free Cash Flow =Incremental Net Income + Depreciation - Change in NWC -Capital Expenditures =Incremental Net Income + Depreciation - Change in NWC -Capital Expenditures =Incremental Net Income + Depreciation - Change in NWC -Capital Expenditures =Incremental Net Income + Depreciation - Change in NWC -Capital Expenditures

The answer is then the difference in NPV calculated based on the two depreciation schedules.]

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$7266

$9082

$10,898

$22,705

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