Kay Sadilla is considering investing in a franchise that will require an initial outlay of $$75,000.$ She conducted market research and found that after$-$tax cash flows on the investment should be about $$15,000$ per year for the next $7$ years. The franchiser stated that Kay would generate a $20$ percent return. Her cost of capital is $10$ percent.

Find the following:

the PVB

the PVC

the NPV

the IRR $($Hint: Use interpolation, IRR is between $8$ percent and $10$ percent.$)$