(1)
Simple payback period = initial investment/annual net cash flow
Annual net cash flow = $650000 - $500000 = $150000
Therefore,
Payback period = $800000/$150000
= 5.33 years
(2)
discounted payback period:
| Year | cash flow | PVF@15% | Present value | cumulative present value |
|---|---|---|---|---|
| 1 | $150000 | 0.870 | $130500 | $130500 |
| 2 | $150000 | 0.756 | $113400 | $243900 |
| 3 | $150000 | 0.658 | $98700 | $342600 |
| 4 | $150000 | 0.572 | $85800 | $428400 |
| 5 | $150000 | 0.497 | $74550 | $502950 |
| 6 | $150000 | 0.432 | $64800 | $567750 |
| 7 | $150000 | 0.376 | $56400 | $624150 |
| 8 | $150000 | 0.327 | $49050 | $673200 |
| 9 | $150000 | 0.284 | $42600 | $715800 |
| 10 | $150000 | 0.247 | $37050 | $752850 |
| 11 | $150000 | 0.215 | $32250 | $785100 |
| 12 | $150000 | 0.187 | $28050 | $813150 |
therefore,
discounted payback period = 11 + ($800000 - $785100)/($813150 - $785100)
= 11 + ($14900/$28050)
= 11.53 years
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