Respuesta :
Answer:
          A       B        C       D        E   Â
Year 1 Â Â 100000 Â Â Â Â 0 Â Â Â Â 0.925 Â Â 92500 Â Â Â Â 0 Â
Year 2 Â Â 25000 Â Â 80000 Â Â 0.857 Â Â 21425 Â Â Â 68560 Â
Year 3 Â Â 25000 Â Â 80000 Â Â 0.793 Â Â 19825 Â Â Â 63440 Â
Year 4 Â Â 25000 Â Â 80000 Â Â 0.735 Â Â Â 18375 Â Â Â 58800 Â
Total                            152,125 190,800
Cost of the project = A, Benefits = B, Discount Factor at 8% = C, NPV of Outflows = D, NPV of Inflows = E
1. Financial Analysis using NPV
Net present value of the Cost and Benefits  = NPV of Inflows - NPV of Outflows
NPV = $190,800 - $152,125
NPV = $38,675
Conclusion: NPV is positive hence the project should be accepted
2. ROI = The Earnings / Cost of investment made.
ROI = 240,000 / Â 175,000
ROI = 1.371429
ROI = 137.14%
3. Payback Period
          A         B       C        D
Year 1 Â Â Â 100000 Â 100000 Â Â Â 0 Â Â Â Â Â Â Â Â 0 Â
Year 2 Â Â 25000 Â Â 125000 Â Â 80000 Â Â 80000 Â
Year 3 Â Â 25000 Â Â 150000 Â Â 80000 Â Â 160000 Â
Year 4 Â Â 25000 Â Â 175000 Â Â 80000 Â Â 240000 Â
Cost of the project = A, Cumulative Cost = B, Benefits = C, Cumulative benefits = D
Here, it is apparent that cost in project is achieved in the Year 3 itself but, $25,000 invested every year, so that cost need to be recovered from the cost. Incremental cost is $25,000 but incremental earning required is Only $175,000 - $160,000 = 15000$.
So, Year 4, $80,000 is earned in 12 months, then $15,000 in how many months, require
So, accordingly 12 * $15,000 / $80,000 = 2.25 Months. Â Â
Pay back period is 3 years and 2.25 months  Â
Hence, it is advisable to take up the project. Â