You estimate that you will have $$30,000$ in student loans by the time you graduate. The interest rate is $5$ percent, compounded monthly. If you want to have this debt paid in full within five years, how much must you pay each month? $($Hint: Compute the payment of annuity$)$

Group of answer choices

$$429\mathrm{.}30$

$$566\mathrm{.}14$

$$628\mathrm{.}12$

$$644\mathrm{.}29$