Answer: 1 year and 6 months
Explanation:
The cash flows are as follows,
Year 0 = ($2,500)
Year 1 = $1,500
Year 2 = $1,500
Year 3 = $1,500
Payback period is the time it will take to break even the intial investment (In this question the initial investment is $2,500)
The sum of the cashflows of year1 and year2 is equal to $3,000
which means that the payback period is somewhere bbetween year 1 and year2
1500/3000 = 0.5 year or 6 months
the total payback period is 1 year and 6 months