The discount rate is $10\%.$ Project $2$ has the following cash flows. Cash outflow today is $450,000,$ followed by

inflows of $165,000$ at the end of year $1,135,000$ at the end of year $2,140,000$ at the end of year $3,$ and $140,000$

at the end of year $4.$ The payback $($in years$)$ of project $2$ is closest to$?$

Select one:

a$.5$ years

b$.2$ years

C$.4$ years

d$.3$ years