Compute the discounted payback statistic for Project C if the appropriate cost of capital is 8 percent and the maximum allowable discounted payback period is three years. (Do not round intermediate calculations and round your final answer to 2 decimal places.)
Project C | ||||||
Time: | 0 | 1 | 2 | 3 | 4 | 5 |
Cash flow: | –$1,000 | $480 | $480 | $520 | $300 | $100 |
Discounted Payback Period =
( Last Year with a Negative Cumulative Cash Flow ) + [( Absolute Value of negative Cumulative Cash Flow in that year)/ Total Present Cash Flow in the following year)]
= 2 + ( 144.03 / 413)
= 2.34874092 Years
Hence the correct answer is 2.35 Years
Note :
Cash Flow | Discounting Factor ( 8%) | Present Value (Cash Flow * Discounting Factor) | Cumulative Cash Flow | |
0 | -1,000 | 1 | -1,000 | -1,000 |
1 | 480 | 0.925925926 | 444 | -555.56 |
2 | 480 | 0.85733882 | 412 | -144.03 |
3 | 520 | 0.793832241 | 413 | 268.76 |
4 | 300 | 0.735029853 | 221 | 489.27 |
5 | 100 | 0.680583197 | 68 | 557.33 |
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