Given :
Interest rate , r = 4 %.
To Find :
The APY .
Solution :
APY is given by :
[tex]APY=(1+\dfrac{r}{n})^n-1[/tex]
Here , r is compound interest and n is number of time compounded .
So ,
[tex]APY=(1+\dfrac{r}{n})^n-1\\\\APY=(1+\dfrac{4}{12})^{12}-1\\\\APY=30.57\%[/tex]
Therefore , APY is 30.57 % .
Hence , this is the required solution .