What is the NPV

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Down Under Boomerang, Inc., is considering a new three-year expansion project that requires an initial fixed asset investment of $2.46 million. The fixed asset falls into the three-year MACRS class. The project is estimated to generate $2,000,000 in annual sales, with costs of $711,000. The project requires an initial investment in net working capital of $220,000, and the fixed asset will have a market value of $300,000 at the end of the project. If the tax rate is 35 percent and the required return is 16 percent, what is the project’s Year 1 net cash flow? Year 2? Year 3? (

(Enter your answers in dollars, not millions of dollars, i.e. 1,234,567. Negative amounts should be indicated by a minus sign. Do not round intermediate calculations and round your final answers to 2 decimal places. (e.g., 32.16))

What is the NPV? (Enter your answer in dollars, not millions of dollars, i.e. 1,234,567. Do not round intermediate calculations and round your final answer to 2 decimal places. (e.g., 32.16))
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Answer

We have been provided with the information as follow

Initial Investment 2,460,000
Add: Working Capital Requires 220,000
   
Depriciation method three-year MACRS
Sales 2,000,000
Less:  
Variable Cost 711,000
Contrbution 1,289,000
Less: 35% tax 451150
Cash Flow 837,850

 

Now first of all we will calculate Depreciation and Depreciation Tax Shield as follow,

Year Assets Valu Dep.
Rate
Depriciation Dep. Tax
Shield
1 2,460,000 33.33% 819918 286971.3
2 2,460,000 44.45% 1093470 382714.5
3 2,460,000 14.81% 364326 127514.1

 

When company sale the machine that time cash flow would be as follow,

Salvage Value 300,000
Less : 35% tax
(300,000-182286)
41200
Net Cash Flow 258,800

 

Now we will compute NPV as  follow

 

Year Cash Flow Dep. Tax
Shield
Realese of
Working
Capital
Salvage
Recipt
Net
Cash Flow
PV Factor@16% Prasent
Value
0 -2,680,000       -2,680,000 1 -2680000
1 837850 286971.3     1,124,821 0.862069 969673.5
2 837850 382714.5     1,220,565 0.743163 907078.3
3 837850 127514.1 220,000 258,800 1,444,164 0.640658 925214.8
              121966.6

 

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