The process for producing a fruit-tree pesticide has a first cost of $200,000 with annual costs of $50,000 and revenue of $90,000 per year. What is the payback period at (a) i=0% (b) i=12% per year?
annual cash flow=90000-50000=40000
(a)
payback period at 0%=200000/40000=5 years
(b)
Year | CF | Discounted CF | Cumulative CF |
0 | -200000 | -200000.00 | -200000.00 |
1 | 40000 | 35714.29 | -164285.71 |
2 | 40000 | 31887.76 | -132397.96 |
3 | 40000 | 28471.21 | -103926.75 |
4 | 40000 | 25420.72 | -78506.03 |
5 | 40000 | 22697.07 | -55808.95 |
6 | 40000 | 20265.24 | -35543.71 |
7 | 40000 | 18093.97 | -17449.74 |
8 | 40000 | 16155.33 | -1294.41 |
9 | 40000 | 14424.40 | 13129.99 |
Payback period=8+(1294.41/14424.40)=8.09 years
the above is answer..
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