An investment firm charges commissions on stock trades according to the following commission schedule:

 Transaction Size Commission $$0 -$$$1999.99$ $$15 + 2.3 \%$ of principal$$2000 -$$$3999.99$$$24 + 2 \%$ of principal $$4000 -$$$5999.99$ $$35 + 1.3 \%$ of principal Suppose an investor purchases $79$ stocks at $\14.46$ per share, holds for $34$ weeks and then sells the stocks for$ $\27.05$ per share. Find the annual simple interest rate earned by this investment.

$\%$

(Note: Your answer should be correct to two decimal places to be counted as correct.)