You have gathered the following information:

Debt: The firm has $12,000$ bonds with a $4\mathrm{.}6$ percent coupon outstanding, $$1,000$ par value, $25$ years to maturity, currently selling for $$1,050.$ The bonds make annual coupon payments.

Common stock: $575,000$ shares outstanding, currently selling for $$81$ per share, the stock's beta is $1\mathrm{.}04.$

Preferred stock: $30,000$ shares that pay a $$3\mathrm{.}40$ annual dividend and currently trade at $$94$ per share. The market risk premium is $7\%,$ and the risk$-$free rate is $3\mathrm{.}2\%.$ The firm's marginal tax rate is $40\%.$

What is the firm's after$-$tax cost of debt, cost of common equity, andcost of preferred stock?