Shirt Corporation is considering purchasing equipment that costs $60,000 and is expected to provide the following cash inflows over its five-year useful life:   Year Cash Inflow 1 $18,000 2 $22,000 3 $24,000 4 $16,000 5 $ 9,000                 Calculate the payback period for this investment.

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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Problem 6 - Shirt Corporation is considering purchasing equipment that costs $60,000 and is expected to provide

the following cash inflows over its five-year useful life:

 

Year

Cash Inflow

1

$18,000

2

$22,000

3

$24,000

4

$16,000

5

$ 9,000

 

 

 

 

 

 

 

 

Calculate the payback period for this investment.

 

Expert Solution
Step 1 Concept

The Payback period is a period in which project return back the investment amount which is invested at the time of investment or initiating the project.

When equal annual cash inflow :

Payback Period =Investment costEqual annual cash inflow 

But in this question unequal annual cash flow is given therefore we will find the payback period by different method by calculating the cumulative cash inflow.                

Step 2 Calculation of Pay Back Period (PBP)
Year Cash Flow Cumulative CF
0 -60000.00 -60000.00
1 18000.00 -42000.00
2 22000.00 -20000.00
3 24000.00 4000.00
4 16000.00 20000.00
5 9000.00 29000.00
     

 

Pay Back Period = [ 2 + (20000 / 24000) ]

Pay Back Period = 2.8333 Years

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