Final answer:
The firm's market value capital structure is $494.6 million. The rate that the firm should use to discount the cash flows of a new investment project.
Step-by-step explanation:
a. To determine the firm's market value capital structure, we need to calculate the market value of each component. The market value of common stock is 6.4 million shares multiplied by $54 per share, which equals $345.6 million. The market value of preferred stock is 200,000 shares multiplied by $103 per share, which equals $20.6 million. Adding these values together, the firm's market value capital structure is $494.6 million.
b. The rate that the firm should use to discount the cash flows of a new investment project with the same risk as the firm's typical projects is the weighted average cost of capital (WACC). The WACC is calculated by multiplying the cost of each component by its weight in the capital structure and summing them. The cost of common stock is the risk-free rate (T-bill yield) plus the beta multiplied by the market risk premium.