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Year A B 0 -400,000 -600,000 1 55,000 300,000 2 55,000 300,000 3 55,000 50,000 4

ID: 2740346 • Letter: Y

Question

Year                                          A                                         B

0                                              -400,000                                -600,000

1                                              55,000                                  300,000

2                                              55,000                                  300,000

3                                              55,000                                     50,000

4                                              225,000                                    50,000

5                                              225,000                                    50,000

Which project would you select if you used the discounted payback method, NPV and IRR methods and explain why? The discount rate is 10%.

Explanation / Answer

PROJECT A

DISCOUNTED PAYBACK

DISCOUNTED PAYBACK

= 4 + (-109551 / 139702.50)

= 4 + 0.78

= 4.78 YEARS

NPV

IRR

IRR CAN BE CALCULATED BY USEING SPREAD SHEET FUNCTION, IRR OF PROJECT A IS 12.21%

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PROJECT B

DISCOUNTED PAYBACK

DISCOUNTED PAYBACK

= 4 + (-7635 / 31045)

= 4 + 0.25

= 4.25 YEARS

NPV

IRR

IRR CAN BE CALCULATED BY USEING SPREAD SHEET FUNCTION, IRR OF PROJECT B IS 12.28%

DECESSION

IF DISCOUNTED PAYBACK METHOD IS USED PROJECT B SHOULD BE SELECTED AS IT HAS A LOWER PAYBACK PERIOD.

IF NPV IS USED PROJECT A SHOULB BE SELECTHED AS IT HAS A HIGHER NPV COMPARED TO PROJECT B.

IF IRR IS USED PROJECT B SHOULD BE SELECTED AS IT HAS HIGHER IRR COMPARED TO PROJECT A.

YEAR CASH FLOW DISCOUNTING FACTOR @10% DISCOUNTED CASH FLOW CUMULATIVE DISCOUNTED CASH FLOW 0 -400000 1.000 -400000 -400000 1 55000 0.9091 50000.50 -349999.50 2 55000 0.8264 45452 -304547.50 3 55000 0.7513 41321.50 -263226 4 225000 0.6830 153675 -109551 5 225000 0.6209 139702.50 30151.50