A firm needs to decide between two mutually exclusive projects. Project Alpha requires an initial investment of $$45,000$ today and is expected to generate cash flows of $$72,000$ for the next $5$ years. Project Beta requires an initial investment of $$98,000$ and is expected to generate cash flows of $$75,600$ for the next $10$ years. The cost of capital is $9\%.$ The projects can be repeated with no change in cash flows. What is the NPV of the project that would be selected based on the replacement chain analysis?

Project Alpha; $$414,972$

Project Alpha; $$387,824$

Project Beta; $$387,824$

Project Alpha; $$398,790$

Project Beta; $$387,175$