Question $1(0\mathrm{.}5$ points$)$

Suppose today is the first day of a year. Starting from today, you will make deposits of $$1,100$ at the beginning of each year for $30$ years in an investment account. After $30$ years, you will immediately withdraw all money from the account to buy a retirement annuity for $25$ years with equal annual payments $($paid at year$-$end$).$ If the annual rate of return over the entire period $(55$ years$)$ is $5\%,$ how much is the annual payment you will receive after retirement?

$$7,972\mathrm{.}29$

$$8,370\mathrm{.}90$

$$5,444\mathrm{.}67$

$$7\mathrm{.}579\mathrm{.}78$

$$9\mathrm{.}540\mathrm{.}58$