$1.$Suppose you enter into a monthly deposit scheme with Chase, where you have your salary account. The bank will deduct $$25$ from your salary account every month and the first payment $($deduction$)$ will be made one month from now $($so$,$ what type of annuity is this?$).$ If you are planning to maintain the account for the next $3$ years, how much money will you have when you close your account $3$ years from now? The appropriate interest rate is $6\%.$

a$.$Use formula to calculate the future value of this annuity.

b$.$Use financial calculator to compute the future value $($clearly identify N$,$ I$/$Y$,$ PV$,$ and PMT$).$

c$.$What will be the future value if the first payment was made immediately? Use both approaches separately for this part. $[$Hint: what type of annuity is it now?$]$