The Nile Corporation has $9\mathrm{.}8$ million shares of common stock outstanding and $420,0005$ percent semiannual bonds outstanding, par value $$1,000$ each. The common stock currently sells for $$46$ per share and has a beta of $1\mathrm{.}4.$ The bonds have $15$ years to maturity and sell for $117$ percent of par. The market risk premium is $8\mathrm{.}6$ percent, T$-$bills are yielding $4$ percent, and the company's tax rate is $23$ percent.

a$.$ What is the firm's market value capital structure?

Note: 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?

Note: Do not round intermediate calculations and enter your answer as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.$

$\backslash$table$[[$a$.$ Debt,,$],[$Equity$,,],[$b$.$ Discount rate,,$\%$