Suppose Happy Dog Soap Company is evaluating a proposed capital budgeting project $($project Alpha$)$ that will require an initial investment of $$600,000.$ The project is expected to generate the following net cash flows:

Year

Cash Flow

Year $1$ $$350,000$

Year $2$ $$500,000$

Year $3$ $$450,000$

Year $4$ $$450,000$

Happy Dog Soap Company$$s weighted average cost of capital is $7\%,$ and project Alpha has the same risk as the firm$$s average project. Based on the cash flows, what is project Alpha$$s net present value $($NPV$)?$

$$1,049,351$

$$1,324,459$

$$1,474,459$

$$874,459$