A$.$ Find the future value of $$1,000$ invested at $8$ percent for twenty years assuming quarterly compounding. $($Round your answer out to the nearest cent.$)$

B$.$ Suppose you have $30$ years until you retire. You believe you can earn an annual return of $9$ percent by investing in the stock market. If so$,$ how much would you need to invest today to have $$1$ million by the time you retire? $($Find the present value of $$1$ million $30$ years from now.$)($Round your answer out to the nearest cent.$)$

C$.$ Find the future value of $$3,600$ paid at the end of each year for $20$ years at $9$ percent. $($Round off to the nearest cent.$)$

D$.$ Suppose you have $30$ years until you retire. You believe you can earn an annual return of $9$ percent by investing in the stock market. If so$,$ how much would you need to invest at the end of each year to have $$1$ million by the time you retire? $($Solve for the annual payment.$)$