Suppose Blue Hamster Manufacturing Inc. is evaluating a proposed capital budgeting project $($project Alpha$)$ that will require an initial investment of $$400,000.$ The project is expected to generate the following net cash flows:

Year Cash Flow

Year $1$ $$325,000$

Year $2$ $$500,000$

Year $3$ $$425,000$

Year $4$ $$500,000$

Blue Hamster Manufacturing Inc.$$s weighted average cost of capital is $9\%,$ and project Alpha has the same risk as the firm$$s average project. Based on the cash flows, what is project Alpha$$s net present value $($NPV$)?$

$$1,001,396$

$$1,501,396$

$$1,401,396$

$$601,396$