A company is considering adding a new piece of equipment that will speed up their processes. The cost of the piece of equipment is $42000. It is expected that the new piece of equipment will lead to cash flows of $17000, $29000, and $40000 over the next 3 years. If the appropriate discount rate is 12%, what is the NPV of this investment? Please take your time and explain each calculation....thanks.
Net Present Value [NPV] = Present Value of cash Inflows – Present Value of Outflows
Year |
Annual Cash Inflows (a) |
Present Value factor at 12% Formula |
Present Value factor at 12% (b) |
Present Value of Annual Cash inflows
|
1 |
$17,000 |
1/ (1+0.12)1 |
0.8928571 |
$15,178.57 |
2 |
$29,000 |
1 / (1+0.12)2 |
0.7971939 |
$23,118.62 |
3 |
$40,000 |
1 / (1+0.12)3 |
0.7117802 |
$28,471.21 |
$66,768.40 |
Net Present Value [NPV] = Present Value of cash Inflows – Present Value of Outflows
= $66,768.40 – 42,000
= $24,768.40
“ Therefore, Net Present value [NPV] of the Investment = $24,768.40 “
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