[tex]\bf ~~~~~~~~~~~~ \textit{Annual Yield Formula}
\\\\
~~~~~~~~~~~~ \left(1+\frac{r}{n}\right)^{n}-1
\\\\
\begin{cases}
r=rate\to 4.5\%\to \frac{4.5}{100}\to &0.045\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{quarterly, thus four}
\end{array}\to &4
\end{cases}
\\\\\\
\left(1+\frac{0.045}{4}\right)^{4}-1\implies 1.01125^4-1~~\approx~~ 0.045765
\\\\\\
0.045765\cdot 100~~\approx~~ \stackrel{\%}{4.58}[/tex]
