Sophia invests $$8,059$ in a savings account that offers an annual percentage rate $($APR$)$ of $6\mathrm{.}5\%.$ Unlike typical savings accounts, this account compounds interest continuously. What is the effective annual rate $($EAR$)?$

$6\mathrm{.}50\%$

$106\mathrm{.}72\%$

$6\mathrm{.}66\%$

$6\mathrm{.}72\%$

$6\mathrm{.}61\%$