In: Finance
Find the discounted payback period for the following project. THe discount rate is 7%.
Initial Outlay - $8,273
Year 1 - $3.774
Year 2 - $3,300
Year 3 - $5,328
Year 4 - $7,303
Round the answer to two decimal places. Show your work.
| Calculation of payback period | |||||
| Year | Cash flow | Cumulative Cash flow | |||
| 0 | -$8,273.00 | -$8,273.00 | |||
| 1 | $3,774.00 | -$4,499.00 | |||
| 2 | $3,300.00 | -$1,199.00 | |||
| 3 | $5,328.00 | $4,129.00 | |||
| 4 | $7,303.00 | $11,432.00 | |||
| Payback period = 2 years + [$1199/$5328] = 2.23 years | |||||
| Calculation of discounted payback period | |||||
| Year | Cash flow | Discount factor @ 7% | Present Values | Cumulative Present values | |
| 0 | -$8,273.00 | 1.00000 | -$8,273 | -$8,273 | |
| 1 | $3,774.00 | 0.93458 | $3,527 | -$4,746 | |
| 2 | $3,300.00 | 0.87344 | $2,882 | -$1,864 | |
| 3 | $5,328.00 | 0.81630 | $4,349 | $2,486 | |
| 4 | $7,303.00 | 0.76290 | $5,571 | $8,057 | |
| Discounted Payback period = 2 years + [$1864/$4349] = 2.43 years | |||||