Answer:
c. 0.76 years longer than the payback period.
Explanation:
Payback period calculates how long it takes to recover the amount invested in a project from its cumulative cash flows.
the amounted invested in the project = $-51100
In year 1, the amount recovered = $-51,100 + $13150 = $-37,950
In year 2, the amount recovered = $-37,950 + $16050 = $-21,900
In year 3, the amount recovered = $-21,900 + $23900 = $2000
the amount invested is recovered in 2 + 21,900 / 23900 = 2.92 years
Discounted payback period calculates how long it takes to recover the amount invested in a project from its cumulative cash flows.
discounted cash flows
$13150 / 1.08 = $12,175.93
$16050 / 1.08^2 = $13,760.29
$23900 / 1.08^3 = $18972.59
$12400 / 1.08^4 = $9114.37
the amount is recovered in 3 + 6191.19 / 9114.37 = 3.68 years
the discounted payback is longer than the payback period by 3.68 years - 2.92 years = 0.76 years
