Q14) Project A
i) payback period = full year until recovery + unrecovered cost at the beginning of the last year / cash flow during last year
= 2 + 76,000/162,000
= 2 + 0.47
= 2.47
ii) Net present value
Using financial calculator
Inputs: C0= -400,000
C1= 162,000. Frequency= 4
I = 15%
Npv = compute
We get , NPV= $62,506.5
iii) IRR
Using financial calculator
Inputs: C0= -400,000
C1= 162,000. Frequency= 4
Irr = compute
We get, IRR = 22.54%
iv) profitability index = cash outflow + NPv / cash outflow
= 400,000 + 62,506.5 /400,000
= 462,506.5 / 400,000
= 1.16
Project B
i) Payback period = full year until recovery + unrecovered cash at the beginning of the last year / cash flow during last year
= 3 + 40,000 / 120,000
= 3 + 0.3333
= 3.33 years
ii) Net present value
Using financial calculator
Inputs: C0 = -400,000
C1 = 120,000. Frequency= 6
I = 15%
Npv = compute
We get, NPV = $ 54,138
iii) IRR
Using financial calculator
Inputs: C0 = -400,000
C1 = 120,000. Frequency= 6
Irr = compute
We get, Irr = 19.91%
iv) Profitability index = cash outflow + Npv / cash outflow
= 400,000 + 54,138 / 400,000
= 454,138 / 400,000
= 1.14
B) we should choose project A , as the Npv of the project is higher.
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