Six years ago you invested $$5,000$ into a new investment account that compounds monthly, and you made no further investments. If the balance today is $$12,229\mathrm{.}60,$ what are the monthly periodic rate and APY $($note you are asked for the APY, not the APR!$)?$ Choose the closest answer.

Group of answer choices

$1\mathrm{.}25\%$ and $16\mathrm{.}08\%$

$1\mathrm{.}50\%$ and $19\mathrm{.}56\%$

$1\mathrm{.}50\%$ and $18\mathrm{.}00\%$

$1\mathrm{.}80\%$ and $23\mathrm{.}87\%$

$1\mathrm{.}25\%$ and $15\mathrm{.}00\%$

$1\mathrm{.}40\%$ and $16\mathrm{.}80\%$

$1\mathrm{.}40\%$ and $18\mathrm{.}16\%$

$1\mathrm{.}80\%$ and $21\mathrm{.}60\%$