Magic Johnson took out a car loan from Bank of America at $6\mathrm{.}4\%$ compounded monthly and purchased a car. Magic will have to make monthly payments of $$582\mathrm{.}35$ for five years. Compute the amount of the loan.

Group of answer choices

$$2,426\mathrm{.}61$

$$8,879\mathrm{.}18$

$$29,834\mathrm{.}51$

$$102,787$

None of the above