You are considering investing in a security that will pay you $$$$2000$ in $34$ years.

a$.$If the appropriate discount rate is $12$ percent$,$ what is the present value of this$$ investment?

b$.$Assume these investments sell for $$$$512$ in return for which you receive $$$$2000$ in $34$ years. What is the rate of return investors earn on this investment if they buy it for $$$$512?$