In: Finance
Assuming monetary benefits of an information system at $150 at Year 1, $200 at Year 2, and $250 at Year 3, one-time costs of $200, recurring costs of $50 per year, a discount rate of 7 percent, and a three-year time horizon, please fill in the cost-analysis benefit table below. Please round each value to 2 decimal places (which indicates that you should keep at least 3 decimal places for intermediate calculations). Each blank between (1) and (23) is worth 0.25 point, while blank (24) is worth 0.75 point.
Year 0 |
Year 1 |
Year 2 |
Year 3 |
|
Benefit |
$0 |
$150 |
$200 |
$250 |
PV of Benefit |
$0 |
(1) |
(2) |
(3) |
NPV of all benefits |
$0 |
(4) |
(5) |
(6) |
One-time Cost |
-$200 |
N/A |
N/A |
N/A |
Recurring Cost |
$0 |
$-50 |
$-50 |
$-50 |
PV of Recurring Cost |
$0 |
(7) |
(8) |
(9) |
NPV of all costs |
(10) |
(11) |
(12) |
(13) |
Overall NPV |
(14) |
|||
ROI |
(15) |
|||
Yearly NPV cash flow |
(16) |
(17) |
(18) |
(19) |
NPV Cash Flow |
(20) |
(21) |
(22) |
(23) |
Break-Even Point |
(24) |
The calculations are shown below along with the explanation given in column 2- reference :-
Particulars | Reference | Year 0 | Year 1 | Year 2 | Year 3 |
Benefit | a | $0 | $150 | $200 | $250 |
PVF | b | 1 | 0.935 | 0.873 | 0.816 |
PV of Benefit | c=a*b | $0 | $140.19 | $174.69 | $204.07 |
NPV of all benefits | d = Cumulative total of current & remaining years | $519 | $518.95 | $378.76 | $204.07 |
One-time Cost | e | ($200) | 0 | 0 | 0 |
Recurring Cost | f | $0 | ($50) | ($50) | ($50) |
PV of Recurring Cost | g=b*f | $0 | ($47) | ($44) | ($41) |
NPV of all costs | h= Cumulative total of current & remaining years | ($331) | ($131) | ($84) | ($41) |
Overall NPV | i = (d+h) | $188 | - | - | - |
ROI | j = i/h | 56.68% | - | - | - |
Yearly NPV cash flow | k= c+e+g | ($200) | $93 | $131 | $163 |
NPV Cash Flow | L = d+h | $188 | $388 | $294 | $163 |
Break-Even Point | m = h | ($331) | - | - | - |
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