You are the director of a factory and you want to encourage the
CEO to purchase a new
machine for an additional production line. To help build your case
you have come up with
the following numbers:
New machine will cost $750,000.
New Machine has a life of 8 years.
New machine will generate cash flows of $50,000 in year 1.
New machine will generate cash flows of $70,000 in year 2.
New machine will generate cash flows of $80,000 in year 3.
New machine will generate cash flows of $100,000 in year 4-8.
Company discount rate is 10%.
You think you should conduct an NPV analysis of these numbers
before you speak with
the CEO. Will you recommend the CEO purchase the new machine?
| Year | Cash Flow | Discountig
Factor [1/(1.1^period)] |
PV of cash
flows (cash flow*discounting factor) |
| 0 | -750000 | 1 | -750000 |
| 1 | 50000 | 0.909090909 | 45454.54545 |
| 2 | 70000 | 0.826446281 | 57851.23967 |
| 3 | 80000 | 0.751314801 | 60105.18407 |
| 4 | 100000 | 0.683013455 | 68301.34554 |
| 5 | 100000 | 0.620921323 | 62092.13231 |
| 6 | 100000 | 0.56447393 | 56447.39301 |
| 7 | 100000 | 0.513158118 | 51315.81182 |
| 8 | 100000 | 0.46650738 | 46650.73802 |
|
NPV= Sum of PVs |
-301781.6101 |
As NPV is Negative, It is NOT recommended to purchase the machine
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