An investment costs $$4,000$ today. This investment is expected to produce annual cash flows of $$1,200,$ $$1,400,$ $$1,300$ and $$1,100,$ respectively, over the next four years. What is the internal rate of return $($IRR$)($or geometric average$)$ on this investment?

Question $23$ options:

$2\mathrm{.}43\%$

$6\mathrm{.}25\%$

$9\mathrm{.}72\%$

$31\mathrm{.}25\%$