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$$ future, Remex's free cash flow is expected to equal $$$$20$ million. Remex is considering changing its capital structure by issuing debt and using the proceeds to buy back stock. It will do so in such a way that it will have a $29\%$debt$-$equity ratio after the$$ change, and it will maintain this$$ debt$-$equity ratio forever. Assume that$$ Remex's debt cost of capital will be $6\mathrm{.}11\%.$ 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 $4\mathrm{.}7\%,$ and the expected return on the market is $10\mathrm{.}34\%.$

a$.$ Using the information$$ provided, fill in the table below.

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