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Phillips Equipment Inc. has $67,000$ bonds outstanding that are each selling at $$1,056$ in the market. Each bond has $8$ years left to maturity, a $$1000$ face value and a coupon rate of $5\%.$ Coupons are paid semiannually. The company also has $2\mathrm{.}0$ million shares of common stock outstanding. The common stock has a beta of $1\mathrm{.}25$ and sells for $$41$ a share. The U$.$S$.$ Treasury bill is yielding $2\mathrm{.}8$ percent and the return on the market is $9\mathrm{.}5$ percent. The corporate tax rate is $35$ percent.

$($a$)$ Determine the firms market value weight for debt $($Enter answers as a $\%$ to $2$ decimal places$),\%$

$($b$)$ Determine the firms market value weight for equity $($Enter answers as a $\%$ to $2$ decimal places$)\%$

$($c$)$ What is the firms after tax cost of debt? $($Enter answers as a $\%$ to $2$ decimal places$)\%$

$($d$)$ What is the firms cost of equity? $($Enter answers as a $\%$ to $2$ decimal places$)\%$

$($e$)$ Using the information you have found in the earlier parts, determine the Cost of Capital for Phillips Equipment Inc. $($Enter answers as a $\%$ to $2$ decimal places$)\%$