For $$10,000,$ Kelly purchases an annuity$-$immediate that pays $$400$ quarterly for the next $10$ years. Calculate the annual effective interest rate earned by Kelly's investment. $[$Note that to solve this problem, you'll first need to compute a quarterly interest rate $j$ which is actually $\frac{i(4)}{4}.$ Once you obtain this, you can convert it to the annual effective rate $i.]$