Pierce Enterprises's stock is currently selling for $$45\mathrm{.}56$ per share, and the firm expects its per$-$share dividend to be $$1\mathrm{.}38$ in one year. Analysts project the firm's growth rate to be constant at $5\mathrm{.}72\%.$ Estimating the cost of equity using the discounted cash flow $($or dividend growth$)$ approach, what is Pierce's cost of internal equity?

$9\mathrm{.}19\%$

$10\mathrm{.}94\%$

$11\mathrm{.}81\%$

$8\mathrm{.}75\%$