HCC Holdings, which has a beta of $1\mathrm{.}55($already adjusted for the leverage change$),$ is in the process of expanding and raising new capital through an initial debt offering. The company has a target capital structure consisting of a debt to value $($wd$)$ ratio of $15\%.$ The debt issue has a maturity of $25$ years, a face value of $$1,000,$ and will be issued at par with $3\mathrm{.}80\%$ flotation costs. The annual coupon is $7\mathrm{.}60\%$ which is paid semi$-$annually. The company is expected to pay a dividend of $$1\mathrm{.}20$ next year and it should grow at $6\%$ per year indefinitely. Analysts expect the market index to grow at $7\mathrm{.}50\%$ per year indefinitely, and the index currently has a dividend yield of $1\mathrm{.}6\%.$ The risk$-$free rate is $3\mathrm{.}8\%$ per year. If the marginal tax rate is $29\%,$ what is the weighted average cost of capital for HCC$?$