You are evaluating a $4-$year project, and its cash flows are $($$$47,000),$ $$22,000,$ $$18,000,$ $$18,000,$ $$22,000$ for years $0$ to $4,$ respectively. What is the project's payback period? Note the number in $()$ means negative.

Question $9$ options:

$1\mathrm{.}14$

$1\mathrm{.}45$

$1\mathrm{.}73$

$2\mathrm{.}05$

$2\mathrm{.}39$

$2\mathrm{.}73$