Question: An entrepreneur seeks $4 million from a venture capitalist. They agree that the entrepreneurs venture is currently worth $12 million and that, when the company

An entrepreneur seeks $4 million from a venture capitalist. They agree that the entrepreneur’s venture is currently worth $12 million and that, when the company goes public in an IPO three years hence, it will have an expected market capitalization of $70 million. Given the company’s stage of development, the VC requires a 40% return on investment. What fraction of the firm will the VC receive in exchange for its $4 million investment?

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