Titan Mining Corporation has $7\mathrm{.}5$ million shares of common stock outstanding, and $140,000$ bonds with a semiannual coupon of $5\%$ outstanding, par value $$1,000$ each. The common stock currently sells for $$50$ per share and has a beta of $1\mathrm{.}5,$ and the bonds have $25$ years to maturity and sell for $105\%$ of par. The market risk premium is $7\mathrm{.}5\%,$ T$-$bills are yielding $2\mathrm{.}4\%,$ and the company$$s tax rate is $22\%.$ What is the rate the firm should use to evaluate a new investment that has the same risk as the firm$$s typical project?

Group of answer choices

$10\mathrm{.}83\%$

$4\mathrm{.}66\%$

$13\mathrm{.}65\%$

$10\mathrm{.}90\%$

$8\mathrm{.}91\%$

$11\mathrm{.}12\%$