Answer:
1.89 years and 2.91 years
Explanation:
The formula to compute the payback period is shown below:
= Initial investment ÷ Net cash flow
For first case
The initial investment is $260,000
And, the net cash flow is shown below:
= Depreciation + incremental after tax income
where,
Depreciation equals to
= (Original cost - residual value) ÷ (useful life)
= ($260,000 - $10,000) ÷ (4 years)
= ($20,000) ÷ (4 years)
= $62,500
And the incremental after tax income is $75,000
So, the net cash flow would equal to
= $62,500 + $75,000
= $137,500
So, the payback period would be
= $260,000 ÷ $137,500
= 1.89 years
For second case
The initial investment is $170,000
And, the net cash flow is shown below:
= Depreciation + incremental after tax income
where,
Depreciation equals to
= (Original cost - residual value) ÷ (useful life)
= ($170,000 - $14,000) ÷ (9 years)
= ($156,000) ÷ (9 years)
= $17,333
And the incremental after tax income is $41,000
So, the net cash flow would equal to
= $17,333 + $41,000
= $58,333
So, the payback period would be
= $170,000 ÷ $58,333
= 2.91 years
