PE Interview questions - most common or tricky?

Hey guys, I have come across the following interview questions. Any guidance on how to answer these?

1. You buy a business at 8.0x EBITDA and believe that you can sell in 5 years at 8.0x EBITDA. Your required return is 20% a year. Assume that you can get 4.0x EBITDA of debt and that half can be repaid after 5 years. How much do you need to grow EBITDA by in this time?

2. You buy a company at 10.0x EBITDA. Year 1 EBITDA of $100mm and $150 in year 5. What multiple should you exit to get at least 25% IRR?

3. Assuming you want to get an IRR of 25%, what purchase multiple should you assume when you are modeling? - How would you go about this?

Thanks much.

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FPM31:
Uh I think for number 2:

10x EBITDA with EBITDA at 100mm = purchase price of $1bn 25% return on 1bn investment is 250mm Exit price to earn 250mm is 1.25bn Exit multiple with EBITDA at 150mm = 8.3x

Feel free to correct me, more wise members

Seriously, you're not helping anyone when you answer questions. You don't even know what IRR is.

I'm ballparking all of these without a calculator:

1) Edit: I was off.

2) 25% IRR over 5 years represents roughly 3x on initial invested capital. If we buy at 10x 100mm EBITDA, we put in $1bn, so we need to sell the business for ~$3bn in year 5. If year 5 EBITDA is $150mm, we need to sell it for 20x EBITDA.

3) I don't think we have enough info to answer this? We would need at least an entry multiple and know something about EBITDA growth / debt paydown over the horizon.

 
Best Response
bbfun:
Hey guys, I have come across the following interview questions. Any guidance on how to answer these?
  1. You buy a business at 8.0x EBITDA and believe that you can sell in 5 years at 8.0x EBITDA. Your required return is 20% a year. Assume that you can get 4.0x EBITDA of debt and that half can be repaid after 5 years. How much do you need to grow EBITDA by in this time?

  2. You buy a company at 10.0x EBITDA. Year 1 EBITDA of $100mm and $150 in year 5. What multiple should you exit to get at least 25% IRR?

  3. Assuming you want to get an IRR of 25%, what purchase multiple should you assume when you are modeling? - How would you go about this?

Thanks much.

  1. Capital in = purchase price less debt, so 4x EBITDA is the equity in deal. Say EBITDA is 10m to make math easy...so you pay $80m ($40m equity check, $40m debt)...$20m of that debt is paid off after 5 years, so you have $20m of debt to pay off in year 5.

You know to get an IRR of 20% that's about 2.5x your initial investment over 5 yrs (1.2^5)...so you need to return ~$100m to equity...so you know there is $20m of debt, so you need to sell biz for $120m in year 5 to get out $100m. if that is 8x EBITDA, that means EBITDA has to be at $15m by year 5....so you need to grow EBITDA by 50% in this example...not sure if i messed that up?

  1. This example says nothing about the amount of debt you are raising...assuming 100% equity, youc an use mrb87's #s above...otherwise, you just make an assumption on the amount of debt you raise for deal and amount of debt paid down over 5 years to figure out how to get the 25% irr

  2. This totally depends on cash flow available to pay down debt and how much debt you raise in the first place...

 

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