Suppose the beta of the firm's $($operating$)$ assets is equal to $0\mathrm{.}45.$ The firm currently has $$2\mathrm{.}5M$ in debt and $$3\mathrm{.}75M$ in equity. The firm is considering increasing its debt from $$2\mathrm{.}5M$ to $$4M.$ If the firm goes ahead with the planned debt issuance, what do you expect the firm's cost of equity to be$?$ You can assume that the market risk premium is $6\%$ and the risk$-$free rate is $3\%.$You can ignore taxes for this problem.

The answer should be given in decimal form with three decimals $($e$.$g$.,$ if the answer is $6\mathrm{.}1\%$ then write $0\mathrm{.}061)$