In: Finance
Investment A:
Year: 0 1 2 3 4 5
Cash flow: -$14,000 $6,000 $6,000 $6,000 $6,000 $6,000
Investment B:
Year: 0 1 2 3 4 5
Cash flow: -$15,000 $7,000 $7,000 $7,000 $7,000 $7,000
Investment C:
Year: 0 1 2 3 4 5
Cash flow: -$18,000 $12,000 $4,000 $4,000 $4,000 $4,000
The cash flows for three projects are shown above. The cost of
capital is 7.5%. If an investor decided to take projects with a
payback period two years or less, which of these projects would he
take?
Select one:
A. Investment A
B. Investment B
C. Investment C
D. none of these investments
Pay back period is the period in which initial investment is recovered.
Investment A:
Payback Peiord = Iniital Investment / CF per anum
= $ 14,000 / $ 6000
= 2.333
Investment B:
Payback Peiord = Iniital Investment / CF per anum
= $ 15,000 / $ 7000
= 2.13
Investment C:
Year | Opening Balance | Amount | Amount to be recovered |
1 | $ 18,000.00 | $ 12,000.00 | $ 6,000.00 |
2 | $ 6,000.00 | $ 4,000.00 | $ 2,000.00 |
3 | $ 2,000.00 | $ 4,000.00 | $ -2,000.00 |
4 | $ -2,000.00 | $ 4,000.00 | $ -6,000.00 |
5 | $ -6,000.00 | $ 4,000.00 | $ -10,000.00 |
Payback Peiord = Period in which least +ve BBalance to be recovered + [ Amount to be recovered in that Year / Amount Receovered in Next Year ]
= 2 Years + [ 2000 / 4000 ]
= 2 Years + 0.5 Years
= 2.5 Years
Expected Payback period is 2 Years. However all these investments has Payback period is more than 2 Years.
Thus do not select any Investment.
OPtion D is correct.