The profitability index $($PI$)$ is a capital budgeting tool that is defined as the present value of a project$$s cash inflows divided by the absolute value of its initial cash outflow. Consider this case:

Fuzzy Badger Transport Company is considering investing $$3,000,000$ in a project that is expected to generate the following net cash flows:

Year

Cash Flow

Year $1$ $$325,000$

Year $2$ $$400,000$

Year $3$ $$475,000$

Year $4$ $$500,000$

Fuzzy Badger Transport Company uses a WACC of $8\%$ when evaluating proposed capital budgeting projects. Based on these cash flows, determine this project$$s PI $($rounded to four decimal places$)$:

A$.0\mathrm{.}4859$

B$.0\mathrm{.}4628$

C$.0\mathrm{.}4397$

D$.0\mathrm{.}5322$