Assume that you have been hired as a consultant by CGT$,$ a major producer of chemicals and plastics, including plastic grocery bags, styrofoam cups, and fertilizers, to estimate the firm's weighted average cost of capital. The balance sheet and some other information are provided below.

Assets

Current assets $$38,000,000$

Net plant, property, and equipment $$101,000,000$

Total assets $$139,000,000$

Liabilities and Equity

Accounts payable $$10,000,000$

Accruals $$9,000,000$

Current liabilities $$19,000,000$

Long$-$term debt $(40,000$ bonds, $$1,000$ par value$)$ $$40,000,000$

Total liabilities $$59,000,000$

Common stock $(10,000,000$ shares$)$ $$30,000,000$

Retained earnings $$50,000,000$

Total shareholders' equity $$80,000,000$

Total liabilities and shareholders' equity $$139,000,000$

The stock is currently selling for $$15\mathrm{.}25$ per share, and its noncallable $$1,000\mathrm{.}00$ par value, $20-$year, $9\mathrm{.}00\%$ bonds with semiannual payments are selling for $$930\mathrm{.}41.$ The beta is $1\mathrm{.}22,$ the yield on a $6-$month Treasury bill is $3\mathrm{.}50\%,$ and the yield on a $20-$year Treasury bond is $5\mathrm{.}50\%.$ The required return on the stock market is $11\mathrm{.}50\%,$ but the market has had an average annual return of $14\mathrm{.}50\%$ during the past $5$ years. The firm's tax rate is $25\%.$ What is the best estimate of the after$-$tax cost of debt?