You are considering investing in a security that will pay you $$$$3000$ in $31$ years. a$.$If the appropriate discount rate is $9$ percent$,$ what is the present value of this$$ investment? b$.$Assume these investments sell for $$$$1103$ in return for which you receive $$$$3000$ in $31$ years. What is the rate of return investors earn on this investment if they buy it for $$$$1103?$