DOC Corporation has $500,000$ preference shares trading at $$3$ each. The market risk premium is $12\mathrm{.}5\%$ p$.$a$.,$ the risk$-$free rate is $2\mathrm{.}5\%$ p$.$a$.,$ and the company tax rate is $30\%.$ The market yield on the DOC preference shares is $6\mathrm{.}70\%$ per annum. The company's bonds have a total market value of $$9,000,000,$ have a coupon rate of $2\%$ p$.$a$.$ and current yield to maturity is $4\%$ per annum. DOC Corporation has $11$ million ordinary shares outstanding that are currently priced at $$7$ each and have a beta of $1\mathrm{.}05.$

What is DOC Corporation$$s WACC?