You need $$25,456$ at the end of $10$ years, and your only investment outlet is an $8$ percent long$-$term certificate of deposit $($compounded annually$).$ With the certificate of deposit, you make an initial investment at the beginning of the first year.

What single payment could be made at the beginning of the first year to achieve this objective?

What amount could you pay at the end of each year annually for $10$ years to achieve this same objective?