How much equity should we negotiate for a $20m investment if we expect to wait 5 years for an exit that will be priced at 7 times EBITDA for a company that has a 25% chance of generating 100M in EBITDA (otherwise it will be worthless) if investors require a 15% return? Assume that our current equity stake will be diluted in half by the time an exit occurs
Solution:
Investment | 20,000,000 |
Expected Return | 15% |
Period | 5 Years |
Expectation after 5 year | 40,227,144 |
(20 million 5 years @ 15% return) | |
=20,000,000*(1.15)^5 |
Chances | Probability | EBITDA | Exit factor |
Value (EBITDA*Factor) |
Applying probability (Value * Probability) |
Given chances | 25% | 100 Million | 7 times | 700 Millions | 175 Million |
Remaining (100% - 25%) | 75% | Zero | 7 times | Zero | Zero |
Total | 100% | 175 Millions |
For getting 40,227,144 we need double stake in 175 Millions as 50% stake will be diluted
= 2 times of 40,227,144 / 175,000,000 = 45.97% stake
We will negotiate at least 45.97% stake for getting 15% return on 20 Million Investment
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