Compute the discounted payback statistic for Project C if the appropriate cost of capital is 7 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: | –$2,600 | $1,120 | $960 | $1,000 | $620 | $420 |
As per the details given in the information-
PV of inflow is calculated on excel by formula-
=PV(rate,nper,pmt,fv)
Discount rate = 7%
Year | Cashflow | Pv of CF | Cummulative PV |
0 | -2600 | -2600 | -2600 |
1 | 1120 | 1046.73 | 1046.73 |
2 | 960 | 838.50 | 1885.23 |
3 | 1000 | 816.30 | 2701.53 |
4 | 620 | 473.00 | 3174.52 |
5 | 420 | 299.45 | 3473.98 |
Discounted Payback period = 2 years + {(2600 - 1885.23)
/816.30
Discounted payback period = 2.876 years
Maximum discounted payback period = 3 years
Company payback period = 2.876 years which is less than maximum
payback period
2.876 < 3, company should accept the project
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