Your savings account pays $14\mathrm{.}82\%$ interest rate, compounded semi$-$annually. Which of the following is true?

The periodic rate of interest is $7\mathrm{.}41\%,$ and the effective rate of interest is $15\mathrm{.}37\%$

The periodic rate of interest is $7\mathrm{.}11\%$ and the effective rate of interest is $14\mathrm{.}91\%$

The periodic rate of interest is $7\mathrm{.}56\%$ and the effective rate of interest is $16\mathrm{.}60\%$

The periodic rate of interest is $7\mathrm{.}41\%$ and the effective rate of interest is $16\mathrm{.}45\%$

The periodic rate of interest is $7\mathrm{.}41\%$ and the effective rate of interest is $14\mathrm{.}76\%$