Answer
$9\%$ compounded quarterly
Work Step by Step
Case 1. Given $r=0.09$, let $t=4$, we have $A_1=P(1+\frac{0.09}{4})^{4}\approx1.0931P$
Case 2. Given $r=0.0925$, let $t=1$, we have $A_2=P(1+\frac{0.0925}{1})^{1}\approx1.0925P$
Thus case 1 with $9\%$ compounded quarterly is better.
