Siblene Penn is considering a project that has the following
cash flow data. What is the discounted payback using a 11.2% cost
of capital?
Year |
0 |
1 |
2 |
3 |
4 |
5 |
Cash flows |
-$6,750 |
$2,000 |
$2,025 |
$2,050 |
$2,075 |
$2,100 |
a. |
3.88 years |
|
b. |
3.33 years |
|
c. |
4.38 years |
|
d. |
4.67 years |
|
e. |
3.62 years |
Correct Answer is option C
PV of inflow is calculated on excel by formula-
=PV(rate,nper,pmt,fv)
Year | Cashflow | Pv of CF | Cummulative PV |
0 | -6750 | -6750 | -6750 |
1 | 2000 | 1798.56 | 1798.56 |
2 | 2025 | 1637.63 | 3436.19 |
3 | 2050 | 1490.87 | 4927.06 |
4 | 2075 | 1357.06 | 6284.12 |
5 | 2100 | 1235.08 | 7519.20 |
Discounted payback period = 4 years + {(6750 - 6284.12) /
1235.08
Discounted payback period = 4.38 years
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