Remex$($RMX$)$ currently has no debt in its capital structure. The beta of its equity is $1\mathrm{.}12.$ For each year into the indefinite$$ future, Remex's free cash flow is expected to equal $$$$28$ million. Remex is considering changing its capital structure by issuing debt and using the proceeds to buy back stock. It will do so in such a way that it will have a $35\%$debt$-$equity ratio after the$$ change, and it will maintain this$$ debt$-$equity ratio forever. Assume that$$ Remex's debt cost of capital will be $6\mathrm{.}76\%.$ Remex faces a corporate tax rate of $15\%.$ Except for the corporate tax rate of $15\%,$ there are no market imperfections. Assume that the CAPM$$ holds, the$$ risk$-$free rate of interest is $5\mathrm{.}2\%,$ and the expected return on the market is $11\mathrm{.}44\%$

a$.$ Using the infromation provided, fill in the table below: $($round to three decimal places.$)$

Before change in capital structure:

Debt$-$equity ratio: $0$

Debt$-$Cost of Capital: NA

Equity Cost of Capital: $\_\_\_\_\_\_\_\_$

Weighted Avergage Cost of Capital: $\_\_\_\_\_\_\_\_$

After change in capital sructure:

Debt$-$Equity Ratio: $0\mathrm{.}35$

Debt Cost of Capital: $6\mathrm{.}76\%$

Equity Cost of Capital: $\_\_\_\_\_\_\_$

Weighted Average Cost of Capital: $\_\_\_\_\_\_\_\_\_$

b$.$ Using the information provided and your calculations in part a$,$ determine the value of the tax shield aquired by Remex if it changes its capital structure in the way it is considering.

The value of the tax shield is $\_\_\_\_\_\_\_\_$ million $($Round to two decimal places.$)$