Question

Consider the following debt-free project for a machine: Physical Lifespan 7 years Capital Expense, Year 0...

Consider the following debt-free project for a machine:

Physical Lifespan 7 years
Capital Expense, Year 0 $14,000
EBITDA / Year $8,000
Cost of Capital 9.9%
Tax Rate 39%
Depreciation Life 4 years

What is the value of this project?

Carry out calculations to at least 4 decimal places. Enter percentages as whole numbers. Example: 3.03% should be entered as 3.03. Do not include commas or dollar signs in numerical answers.

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Answer #1
Tax rate 39%
Year-0 Year-1 Year-2 Year-3 Year-4 Year-5 Year-6 Year-7
Contribution                  8,000           8,000                   8,000             8,000                   8,000             8,000             8,000
Less: Fixed Cost                        -                    -                            -                      -                            -                      -                      -  
Less: Depreciation as per table given below                  3,500            3,500                   3,500             3,500                          -                      -                      -  
Profit before tax                  4,500           4,500                   4,500             4,500                   8,000             8,000             8,000
Tax                  1,755            1,755                   1,755             1,755                   3,120             3,120             3,120
Profit After Tax                  2,745           2,745                   2,745             2,745                   4,880             4,880             4,880
Add Depreciation                  3,500            3,500                   3,500             3,500                          -                      -                      -  
Cash Profit After tax                  6,245           6,245                   6,245             6,245                   4,880             4,880             4,880
Cost of macine         14,000
Depreciation         14,000
WDV                  -  
Sale price                  -  
Profit/(Loss)                  -  
Tax                  -  
Sale price after tax                  -  
Depreciation Year-1 Year-2 Year-3 Year-4 Year-5 Year-6 Year-7 Total
Cost                14,000         14,000                 14,000           14,000                 14,000           14,000           14,000
Dep Rate 25.00% 25.00% 25.00% 25.00% 0.00% 0.00% 0.00%
Deprecaition                  3,500            3,500                   3,500             3,500                          -                      -                      -        14,000
   
   
Calculation of NPV
9.90%
Year Captial Operating cash Annual Cash flow PV factor Present values
0              (14,000)          (14,000) 1.000    (14,000.00)
1                   6,245             6,245 0.910        5,682.44
2                   6,245             6,245 0.828        5,170.55
3                   6,245             6,245 0.753        4,704.78
4                   6,245             6,245 0.686        4,280.96
5                   4,880             4,880 0.624        3,043.91
6                   4,880             4,880 0.568        2,769.71
7                        -                     4,880             4,880 0.516        2,520.21
Net Present Value     14,172.56
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