Payday loans typically require a repayment of $$115$ for every $$100$ dollars with a two$-$week loan. The stated interest rate with this loan would be $391\mathrm{.}071\%,$ which is $15\%$ x $26\mathrm{.}0714$ two$-$week periods per year.

What is the equivalent annual rate associated with this loan based on its two$-$week compounding frequency $($i$.$e$.26\mathrm{.}0714$ compounding periods per year$)?$