Question

Find the Discounted Payback period for the following project. The discount rate is 7% Project X Initial Outlay $8,133 Year 1

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Answer #1

Discounted Payback is the period in which initial investmnet is recovered after considering the time value of money.

Year Opening Bal CF PVF @7% Disc CF Closing Bal
1 $ 8,133.00 $ 3,458.00     0.9346 $ 3,231.78 $ 4,901.22
2 $ 4,901.22 $ 3,955.00     0.8734 $ 3,454.45 $ 1,446.77
3 $ 1,446.77 $ 5,978.00     0.8163 $ 4,879.83 $ -3,433.05
4 $ -3,433.05 $ 6,367.00     0.7629 $ 4,857.35 $ -8,290.41

Disc PBP = Year in which Least +ve CB + [ CB in that Year / Disc CF in next Year ]

= 2 + [ 1446.77 / 4879.83 ]

= 2 + 0.30

= 2.30 Years

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