Company A is considering two investment projects, Project X and Project Y$.$ The initial investments and projected annual cash flows for each project are as follows:

Project X: Initial Investment: $$10,000$ Annual Cash Flows: $$2,500$ for $5$ years

Project Y: Initial Investment: $$15,000$ Annual Cash Flows: $$5,750$ for $3$ years

Using the roll$-$over method, determine which project should be selected. Assume a $6\%$ discount rate.

The NPV of the preferred project is$??$