You are an entrepreneur starting a biotechnology firm. If your research is successful, the technology can be sold for $32 million. If your research is unsuccessful, it will be worth nothing. To fund your research, you need to raise $2.5 million. Investors are willing to provide you with $2.5 million in initial capital in exchange for 30% of the unlevered equity in the firm.

a. What is the total market value of the firm without leverage?

b. Suppose you borrow $0.5 million. According to MM, what fraction of the firm's equity will you need to sell to raise the additional $2.0 million you need?

c. What is the value of your share of the firm's equity in cases (a) and (b)?