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Answer #1

Payback period: Payback period is the period in which initial investment is recovered.

Project A:

Year Opening Bal CF Clsoing Bal
1 1450 700 750
2 750 395 355
3 355 280 75
4 75 330 -255

PBP = Year in which least +ve CB + [ CB in that Year / CF of Next Year ]

= 3 + [ 75 / 330 ]

= 3 + 0.23

= 3.23 Years

Project B:

Year Opening Bal CF Clsoing Bal
1 1450 300 1150
2 1150 330 820
3 820 430 390
4 390 780 -390

PBP = Year in which least +ve CB + [ CB in that Year / CF of Next Year ]

= 3 + [ 390 / 780 ]

= 3 + 0.50

= 3.50 Years

Discounted Payback period: Discounted payback period is the period in which inital investment is recovered after considering the time value of money.

Project A:

Year Opening Bal CF PVF @8% Disc CF Clsoing Bal
1 $ 1,450.00 $ 700.00     0.9259 $ 648.15 $    801.85
2 $    801.85 $ 395.00     0.8573 $ 338.65 $    463.20
3 $    463.20 $ 280.00     0.7938 $ 222.27 $    240.93
4 $    240.93 $ 330.00     0.7350 $ 242.56 $       -1.63

Disc PBP = Year in which least +ve CB + [ CB in that Year / Disc CF of Next Year ]

= 3 + [ 240.93 / 242.56 ]

= 3 + 0.99

= 3.99 Years

Project B:

Year Opening Bal CF PVF @8% Disc CF Clsoing Bal
1 $ 1,450.00 $ 300.00     0.9259 $ 277.78 $ 1,172.22
2 $ 1,172.22 $ 330.00     0.8573 $ 282.92 $    889.30
3 $    889.30 $ 430.00     0.7938 $ 341.35 $    547.95
4 $    547.95 $ 780.00     0.7350 $ 573.32 $     -25.37

Disc PBP = Year in which least +ve CB + [ CB in that Year / Disc CF of Next Year ]

= 3 + [ 547.95 / 573.32 ]

= 3 + 0.96

= 3.96 Years

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