Question

Blue Spruce Inc. is contemplating a capital investment of $108000. The cash flows over the project’s...

Blue Spruce Inc. is contemplating a capital investment of $108000. The cash flows over the project’s four years are:

Expected Annual Expected Annual
Year Cash Inflows Cash Outflows
1 $35000      $16000     
2 65000      25000     
3 75000      30000     
4 65000      40000     


The cash payback period is

3.56 years.

3.16 years.

2.18 years.

3.11 years.

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Answer #1

Solution: 3.16 years
Working:
Net cashflow = Cash inflow - Cash outflow
Year 1 Net cashflow = $35,000 - $16,000 = $19,000
Year 2 Net cashflow = $65,000 - $25,000 = $40,000
Year 3 Net cashflow = $75,000 - $30,000 = $45,000
Year 4 Net cashflow = $65,000 - $40,000 = $25,000

Year   Cash flow   Cummulative cashflow     
0   -108,000   -108,000     
1   19,000   -89,000     
2   40,000   -49,000     
3   45,000   -4,000     
4   25,000   21,000     
Payback period = 3 years + 4000/25000 = 3.16 years

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