Gregory has one share of stock and one bond. The total value of the two securities is $$1,030\mathrm{.}96.$ The bond has a YTM of $8\mathrm{.}10$ percent, a coupon rate of $8\mathrm{.}20$ percent, and a face value of $$1,000.$ The bond matures in $11$ years and pays annual coupons with the next one expected in $1$ year. The stock is expected to pay an annual dividend every year forever, the next dividend is expected to be $$3\mathrm{.}02$ in $1$ year, all subsequent dividends are expected to grow at the same annual growth rate, and the expected return for the stock is $14\mathrm{.}90$ percent. What is the annual growth rate of the stock$$s dividend expected to be$?$

$2\mathrm{.}46\%($plus or minus $2$ bps$)$

$13\mathrm{.}94\%($plus or minus $2$ bps$)$

$2\mathrm{.}24\%($plus or minus $2$ bps$)$

$26\mathrm{.}37\%($plus or minus $2$ bps$)$

the answer cannot be obtained based on the given information