You are considering investing in a security that will pay you $$$$4,000$ in $31$ years.

a$.$If the appropriate discount rate is $10$ percent$,$ what is the present value of this$$ investment?

b$.$Assume these investments sell for $$$$2,062$ in return for which you receive $$$$4,000$ in $31$ years. What is the rate of return investors earn on this investment if they buy it for $$$$2,062?$