Answer:
3.5 years
Step-by-step explanation:
Payback period calculates the amount of the time it takes to recover the amount invested from the cumulative cash flows.
The amount invested is $-90,000
In the first year , $-90,000 + $36,000 = $-54,000 is recovered
In the second year, $-54,000 + $30,000 = $-24,000 is recovered
In the third year, $-24,000 + $18,000 = $-6,000 is recovered
In the fourth year, $-6,000 + $12,000 = $6000 is recovered.
By the fourth year, the total amount invested is recovered as the cash flow turns postive
Pay back period = 3 years + $6000/$12,000 = 3.5 years
I hope my answer helps you