Solution:
Cost of the Machine = $880,000
Solution 1) Calculation of Straight Line Depreciation for each year of new machine
Depreciation as per Straight Line Method = (Cost – Scrap value) / No of years
= ($880,000-$60,000) / 4
= $205,000 per year
Straight Line Depreciation for each year of new machine is $205,000
Solution 2) Calculation of Expected Net Income and Net Cash flow for each year of the machine’s life
Year 1 |
Year 2 |
Year 3 |
Year 4 |
|
Expected Sales |
28,40,000.00 |
28,40,000.00 |
28,40,000.00 |
28,40,000.00 |
Less: Annual Costs |
||||
Direct Material |
5,20,000.00 |
5,20,000.00 |
5,20,000.00 |
5,20,000.00 |
Direct Labour |
7,12,000.00 |
7,12,000.00 |
7,12,000.00 |
7,12,000.00 |
Overheads Excluding Depreciation |
7,36,000.00 |
7,36,000.00 |
7,36,000.00 |
7,36,000.00 |
Depreciation |
2,05,000.00 |
2,05,000.00 |
2,05,000.00 |
2,05,000.00 |
Selling and Administrative Expenses |
2,00,000.00 |
2,00,000.00 |
2,00,000.00 |
2,00,000.00 |
Total Costs |
23,73,000.00 |
23,73,000.00 |
23,73,000.00 |
23,73,000.00 |
Net Profit before Tax = Expected Sales - Total Costs |
4,67,000.00 |
4,67,000.00 |
4,67,000.00 |
4,67,000.00 |
Less: Tax 30% |
1,40,100.00 |
1,40,100.00 |
1,40,100.00 |
1,40,100.00 |
Net Profit after tax |
3,26,900.00 |
3,26,900.00 |
3,26,900.00 |
3,26,900.00 |
Add: Depreciation |
2,05,000.00 |
2,05,000.00 |
2,05,000.00 |
2,05,000.00 |
Net Cash Flows |
5,31,900.00 |
5,31,900.00 |
5,31,900.00 |
5,91,900.00 |
The Expected Net Income is $326,900 every year and Net Cash flow is $531,900 for First, Second and Third year and $591,900 for Fourth year as Scrap value of the Machine $60,000 will also be received at the end of Fourth year.
Solution 3) Calculation of Payback Period of the
Machine
Year |
Net Cash Flows $ |
1 |
5,31,900.00 |
2 |
5,31,900.00 |
3 |
5,31,900.00 |
4 |
5,91,900.00 |
PayBack Period = Initial Investment / Annual Net Cash Flows
= $880,000 / $531,900 = 1.65 Years
Solution 4) Calculation of Accounting Rate of
Return
ARR = (Average Annual Profit After tax / Average Investment) x 100
Where, Average Investment = ½(Initial Cost + Installation Expenses – Salvage Value) + Salvage Value
Average Investment =1/2(880,000 + 0 – 60,000) + 60,000
= $470,000
Average Annual Profit After tax = $326,900
Therefore, ARR = $326,900 / $470,000 x 100
= 69.55%
Accounting Rate of Return of the Machine is 69.55%
Solution 5) Calculation of Net Present Value of the
machine
Cash Flow |
Amount $ |
x |
PV Factor |
Present Value $ |
Annual Cash Flow |
5,31,900.00 |
x |
3.717098 |
19,77,124.64 |
Residual Value |
60,000.00 |
x |
0.888487 |
53,309.22 |
Present Value of Cash Inflows |
20,30,433.86 |
|||
Less: Cost of the Machine |
8,80,000.00 |
|||
Net Present Value |
11,50,433.86 |
The Net Present Value of the Machine is $1,150,433.86
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