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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.)