Abascus Corp. is considering two investment opportunities:

Investment A requires an initial outlay of $$50,000$ and is expected to generate cash flows of $$20,000$ per year for the next $5$ years.

Investment B requires an initial outlay of $$70,000$ and is expected to generate cash flows of $$25,000$ per year for the next $4$ years.

Calculate the following metrics for both investments:

a$)$ Net present value $($NPV$)$ assuming a discount rate of $8\%.$

b$)$ Internal rate of return $($IRR$).$

c$)$ Payback period.