A project with an initial cost of $$22,350$ is expected to generate cash flows of $$5,200,$$$7,300,$ $$8,400,$ $$7,300,$ and $$6,000$ over each of the next five years, respectively. What is the project's payback period?

Question $36$ options:

$3\mathrm{.}40$ years

$3\mathrm{.}83$ years

$3\mathrm{.}20$ years

$3\mathrm{.}55$ years

$3\mathrm{.}31$ years