$$a$.$Calculate the Present Value of these cash flows if the discount rate is $12\%$ per year.$$b$.$What is the PV here if the discount rate is instead $8\%$ per year?$$c$.$If the PV of these cash flows were $$1,000,$ what must be the discount rate?$2-$ Answer the following questions given the following stream of end$-$of$-$year cash flows.$$a$.$ Solve for PV$,$ given discount rates of: $0\%,5\%,10\%$ and $15\%$b$.$ Graph the PV results from $($a$)$ as a function of the discount rate