The Seattle Corporation has been presented with an investment opportunity which will yield cash flows of $$30,000$ per year in Years $1$ through $4,$ $$35,000$ per year in Years $5$ through $9,$ and $$40,000$ in Year $10.$ This investment will cost the firm $$150,000$ today, and the firm's cost of capital is $10$ percent. Assume cash flows occur evenly during the year, $1/365$th each day. What is the payback period for this investment?

Question $4$ options:

$4\mathrm{.}00$ years

$4\mathrm{.}86$ years

$5\mathrm{.}23$ years

$6\mathrm{.}00$ years

$6\mathrm{.}34$ years