How do you solve this question?

40 million shares outstanding, $2.50 share price, leverage cash flow yield of 10%, EBITDA margin of 20%, Coverage ratio of 2x, and interest rate of 5%. Calculate the levered free cash flow and the total debt.

I know levered FCF is 2.50 into 40 into 10% = 10 mil. How do I get to total debt?

19 Comments
 

Yeah I would, but I don't have the EBITDA value so how am I supposed to use the coverage ratio, assuming coverage ratio is EBITDA/Debt Expense and that is EBITDA / (int. rate. * total debt) so that can be rearranged as 

Total Debt = EBITDA / (int. rate * coverage ratio) = EBITDA / (0.05 * 2) = EBITDA / 0.10 

I get stuck here so idk what to do because I have the EBITDA margin but not the EBITDA (cuz I don't have total revenue). 

What if I use lev. FCF as a proxy for EBITDA and then solve to get to Total debt?

 
Most Helpful

It's not a "financial formula," it's just algebra. EBITDA/Debt Service = DCSR. The main trick is that we know the the Cash Flow to Equity After Debt Service, but we do not know EBITDA.

Let's break down ($10,000,000+0.05x) first, which solves for EBITDA. We know that the formula for Cash Flow to Equity After Debt Service is

EBITDA - Debt Service   and we know that Cash Flow to Equity After Debt Service is $10,000,000, so that means if you add the Debt Service back to Cash Flow to Equity After Debt Service then you get EBITDA hence $10,000,000 (which is the Cash Flow to Equity After Debt Service) + 0.05x (which is the Debt Service, 5% of the Debt Amount)

Now that we have EBITDA, we just take the EBITDA and divide by the Debt Service, which we know must equal 2

 

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