A project has the following expected cash flows:

$C{F}_0=-$$$500,C{F}_1=$$$200,C{F}_2=$$$200,$ and $C{F}_3=400$

If the projects cost of capital is $9\%,$ what is the NPV$?$

$$158\mathrm{.}50$

$$160\mathrm{.}70$

$$150\mathrm{.}70$

$$200\mathrm{.}35$