Question
Your private equity firm is making an offer to a startup that requires a $3.9 million dollar investment for expansion. Your own estimate of the
Your private equity firm is making an offer to a startup that requires a $3.9 million dollar investment for expansion. Your own estimate of the startup's EBITDA in year 4 (at exit) is $5.6 million, and you believe the appropriate exit multiple is 15.5. The startup will have $10 million in net debt at that point in time.
Rather than invest directly in the firm's equity, however, you've agreed on a convertible debt investment. As a result, based on your own experience with these types of investments in the past, you are going to require a 40% return on your funds over the 4-year lockup window. You will get annual interest payments based on a borrowing rate of 8%.
What is the percentage stake in the firm's equity you will require for your investment? Answer in decimal form, to three decimal places (i.e., a 65.81% stake in the firm should be answered as .658).
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