When your father was born $43$ years ago, his grandparents deposited $$300$ in an account for him. Today, that account is worth $$38,300.$ What was the annual rate of return on this account?

Multiple Choice

$13\mathrm{.}13\%$

$11\mathrm{.}14\%$

$11\mathrm{.}46\%$

$8\mathrm{.}91\%$

$11\mathrm{.}94\%$