Titan Corporation has $8\mathrm{.}9$ million shares of common stock outstanding and $330,0005\mathrm{.}3$ percent semiannual bonds outstanding, with a par value of $$1,000$ each. The common stock currently sells for $$37$ per share and has a beta of $1\mathrm{.}15$ ; the bonds have $15$ years to maturity and sell for $118$ percent of par. The market risk premium is $7\mathrm{.}7$ percent, T$-$bills are yielding $4$ percent, and the company's tax rate is $24$ percent.

a$.$ What is the firm's market value capital structure? $($Do not round intermediate calculations and round your answers to $4$ decimal places, e$.$g$.,1616.)$

b$.$ If the company is evaluating a new investment project that has the same risk as the firm's typical project, what rate should the firm use to discount the project's cash flows? $($Do not round intermediate calculations and enter your answer as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

Answer is complete but not entirely correct.

$\backslash$table$[[$a$.$ Debt,$0\mathrm{.}5409,],[$a$.$ Equity,$8\mathrm{.}8858ox,],[$b$.$ Discount rate,$8\mathrm{.}51ox,\%$