Question

In: Accounting

Determine the payback period using the accumulated and average cash flows approaches.

Baird Company has an opportunity to purchase a forklift to use in its heavy equipment rental business. The forklift would be leased on an annual basis during its first two years of operation. Thereafter, it would be leased to the general public on demand. Baird would sell it at the end of the fifth year of its useful life. The expected cash inflows and outflows follow:

 

Year Nature of Item Cash Inflow   Cash Outflow
Year 1 Purchase price         $ 79,800  
Year 1 Revenue $ 31,000          
Year 2 Revenue   31,000          
Year 3 Revenue   26,000          
Year 3 Major overhaul           8,200  
Year 4 Revenue   17,000          
Year 5 Revenue   15,000          
Year 5 Salvage value   7,000          

 

Required

  1. a.&b. Determine the payback period using the accumulated and average cash flows approaches. (Round your answers to 1 decimal place.)

 

 

 

Solutions

Expert Solution

a. Determine the payback period using the accumulated cash flows approach.

Purchase Price $79,800  
Year Annual Amount Cumulative Amount
1 $31,000 $31,000
2 31,000 62,000
3 26,000 88,000
Payback Period 3 years

b. Determine the payback period using the average cash flows approach.

 

Average annual net cash inflow= (Cash inflows - Cash outflows) / Expected # of cash flow years

Cash inflows is found by adding all cash inflows

Cash outflows is found by adding all cash outflows

Average annual net cash inflow= ( $127,000 - $8,200 ) / 5

Average annual net cash inflow= $23,760

Payback Period = net cost of investment / Average annual net cash inflow

Payback Period = $79,800 / $23,760

Payback Period = 3.35 years


a. The payback period is 3 years

b. the Payback period is 3.4 years

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