Suppose Green Caterpillar Garden Supplies 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 $1$ $$375,000$

Year $2$ $$500,000$

Year $3$ $$400,000$

Year $4$ $$425,000$

Green Caterpillar Garden Supplies Inc.$$s weighted average cost of capital is $10\%,$ and project Alpha has the same risk as the firm$$s average project. Based on the cash flows, what is project Alpha$$s net present value $($NPV$)?$