An investment project has annual cash inflows of $$5,200,$ $$6,300,$ $$7,100$ for the next four years, respectively, and $$8,400,$ and a discount rate of $19$ percent.

What is the discounted payback period for these cash flows if the initial cost is $$8,000?$

$2\mathrm{.}57$ years

$0\mathrm{.}82$ years

$1\mathrm{.}82$ years

$3\mathrm{.}64$ years

$1\mathrm{.}32$ years