$($Solving for i$)$ You are considering investing in a security that will pay you $$$$4000$ in $33$ years.

a$.$If the appropriate discount rate is $8$ percent$,$ what is the present value of this$$ investment?

b$.$Assume these investments sell for $$$$669$ in return for which you receive $$$$4000$ in $33$ years. What is the rate of return investors earn on this investment if they buy it for $$$$669?$