The Seattle Corporation has been presented with an investment opportunity that will yield cash flows of $$30,000$ per year in Years $1$ through $3,$ $$35,000$ per year in Years $4$ 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?

A$.4\mathrm{.}71$ years

B$.4\mathrm{.}86$ years

C$.4\mathrm{.}20$ years

D$.6\mathrm{.}12$ years

E$.4\mathrm{.}60$ years