In: Finance
Hardware Corp. is planning to buy production machinery. This machinery's expected useful life is 5 years, with a $10,000 residual value. They require a minimum rate of return of 12%, and have calculated the following data pertaining to the purchase and operation of this machinery:
Determine the payback period, the accounting rate of return, and the net present value for this investment. (Ignore taxes & indicate answers to 2 decimal places)
Year |
Estimated Annual Cash Inflow |
Estimated Annual Cash Outflow |
Depreciation |
1 |
$60,000 |
$10,000 |
$30,000 |
2 |
$80,000 |
$20,000 |
$30,000 |
3 |
$95,000 |
$25,000 |
$30,000 |
4 |
$115,000 |
$35,000 |
$30,000 |
5 |
$140,000 |
$50,000 |
$30,000 |
The machinery was initially purchased for (30000 * 5)+10000 (residual value) = $160,000
Initial Cash Flow = -($160,000)
Year | Estimated Cash inflow | Estimated Cash outflow | Net Cash Flow | Cumulative Cash flow | Depreciation | Net Income | Present Value | ||
0 | 0 | -160000 | -160000 | -160000 | 0 | -160000.00 | |||
1 | 60000 | 10000 | 50000 | -110000 | 30000 | 20000 | 44642.86 | ||
2 | 80000 | 20000 | 60000 | -50000 | 30000 | 30000 | 47831.63 | ||
3 | 95000 | 25000 | 70000 | 20000 | 30000 | 40000 | 49824.62 | ||
4 | 115000 | 35000 | 80000 | 100000 | 30000 | 50000 | 50841.45 | ||
5 | 140000 | 50000 | 100000 | 200000 | 30000 | 70000 | 56742.69 | ||
140000 | 360000 | 210000 | 89883.24 | ||||||
Payback Period is in between year 2 and year 3 | |||||||||
Payback period = 2yrs + -50000/70000 = 2 yrs + 0.71 = 2.71yrs | |||||||||
Accounting Rate of Return = (total of Net income/5)/(average investment) = (210000/5)/((160000+10000)/2) = 0.4941 = 49.41% | |||||||||
Net Present Value = $89,883.24 | |||||||||