Assume that: A firm currently has $10\%$ cost of debt and $10$ million shares outstanding $($before any warrants are exercised$).$ The total value of a firm's operations and investments is $$210$ million immediately after issuing $40,000,8\%20-$year bonds that have $1\mathrm{.}5$ million warrants that expire in $7$ years and have a strike price of $$25.$ Each warrant provides its owner the right to buy $5$ share of the firm. The total value of the firm's operations and investments is expected to grow at $9\%$ per year. What is the firm's pre$-$tax cost of the bonds with warrants? Assume a $100\%$ probability that the price of the share is greater than $$22$ in $10$ years.

NOTE: Enter your answer with two decimal places and no percent sign. If your answer is $20\mathrm{.}357\%,$ enter $20\mathrm{.}36$