The ABC Corporation's capital structure is composed of $45$ percent debt, $5$ percent preferred stock, and $50$ percent common equity. The company needs to raise $$1$ million to buy a small office building. The effective or after$-$tax rate of interest the company pays on its long$-$term debt is $8$ percent, and its preferred stockholders receive a rate of return of $10$ percent. Alternate investments that are available to common shareholders with equal risks have rates of return of $13$ percent. What would be the company's cost of capital if it wishes to retain the same relative amounts of debt, preferred stock, and common stock in its capital structure?