Answer:
It will take 3.5 years to cover the initial investment.
Explanation:
Giving the following information:
Initial investment= $26,500
Cash flows:
1 6,000
2 8,000
3 10,000
4 5,000
5 3,000
The payback period is the time required to cover the initial investment:
Year 1= 6,000 - 26,500= -20,500
Year 2= 8,000 - 20,500= -12,500
Year 3= 10,000 - 12,500= -2,500
Year 4= 5,000 - 2,500= 2,500
To be more accurate:
(2,500/5,000)= 0.5
It will take 3.5 years to cover the initial investment.
The expected payback period is 3.19 years.
Expected payback period is the amount of time it take to recover the amount invested from the cumulative cash flows.
Amount invested = $26,500
Cumulative cash flow in year 1 = $6000
Cumulative cash flow in year 2 = $14, 000
Cumulative cash flow in year 3 = $24,000
Cumulative cash flow in year 4 = $29,000
Cumulative cash flow in year 5 = $32,000
The amount invested would be recovered in the third year.
3 + [tex]\frac{29,000 - 24,000}{26,500}[/tex] = 3.19 years
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