Lionel has to pay a penalty for filing his taxes late. The IRS charges $1\%$ in interest for each month the payment is late. Lionel's original tax bill was $$5,000,$ but he now owes $$6,348\mathrm{.}67.$ How many years late is his payment?

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$24\mathrm{.}0$ years

$2\mathrm{.}2$ years

$2\mathrm{.}8$ years

$2\mathrm{.}0$ years

$1\mathrm{.}8$ years