Your savings account pays $13\mathrm{.}86\%$ interest rate, compounded semi$-$annually. Which of the following is true? The periodic rate of interest is $7\mathrm{.}14\%$ and the effective rate of interest is $15\mathrm{.}20\%$ The periodic rate of interest is $6\mathrm{.}93\%,$ and the effective rate of interest is $14\mathrm{.}34\%$ The periodic rate of interest is $6\mathrm{.}93\%$ and the effective rate of interest is $13\mathrm{.}91\%$ The periodic rate of interest is $6\mathrm{.}38\%$ and the effective rate of interest is $13\mathrm{.}62\%$ The periodic rate of interest is $6\mathrm{.}93\%$ and the effective rate of interest is $14\mathrm{.}77\%$