$($Related to Checkpoint$5\mathrm{.}6)($Solving for i$)$ You are considering investing in a security that will pay you $$$ in years.

a$.$If the appropriate discount rate is percent$,$ what is the present value of this$$ investment?

b$.$Assume these investments sell for $$$ in return for which you receive $$$ in years. What is the rate of return investors earn on this investment if they buy it for $$$$?$