Case 48 / 183 Analyst

How PE Thinks About Valuation

Valuation & DCF

The prompt

“As a private equity associate, you are tasked with determining the maximum entry multiple your fund can pay for a target today, working backward from the fund's target IRR rather than forward from a standalone valuation.”

📋 What you're given

As a private equity associate, you are tasked with determining the maximum entry multiple your fund can pay for a target today, working backward from the fund's target IRR rather than forward from a standalone valuation.

1. Task Overview

Task: Work backward from the fund's required return to determine the maximum entry multiple the fund can pay today, rather than starting from a standalone valuation of the business.

Step 1: Given Data — Deal Assumptions

The fund is evaluating a leveraged buyout with the following assumptions.

Line ItemValue
LTM EBITDA (Entry)$50.0m
Projected EBITDA (Exit, Year 5)$75.0m
Assumed Exit Multiple8.0x EV/EBITDA
Entry Leverage5.0x LTM EBITDA
Net Debt at Exit$90.0m
Target IRR25% (0.25)
Holding Period5 years

Step 2: Exit Enterprise Value

Show Exit Enterprise Value Formula

Exit Enterprise Value = Exit EBITDA × Exit Multiple

Using this formula, compute Exit Enterprise Value.

Step 3: Exit Equity Value

Show Exit Equity Value Formula

Exit Equity Value = Exit Enterprise Value − Net Debt at Exit

Using this formula, compute Exit Equity Value.

Step 4: Required Equity Multiple (MOIC)

Show Required Equity Multiple Formula

Required MOIC = (1 + Target IRR) ^ Holding Period

Using this formula, compute the equity multiple the fund needs to hit its target IRR.

Step 5: Maximum Equity Check

Show Maximum Equity Check Formula

Maximum Equity Check = Exit Equity Value / Required MOIC

Using this formula, compute the maximum amount of equity the fund can invest today.

Step 6: Maximum Entry Multiple

Show Maximum Entry Multiple Formula

Maximum Entry Enterprise Value = Maximum Equity Check + Entry Debt; Maximum Entry Multiple = Maximum Entry Enterprise Value / LTM EBITDA

Assume:

  • Entry Debt = Entry Leverage × LTM EBITDA

Using these inputs, compute the maximum entry multiple the fund can pay today.

💡 Model answer

Try answering out loud first — then reveal the model answer and compare.

⚠️ Common mistakes

  • Confusing MOIC with IRR — a 3.05x multiple of invested capital only equals a 25% IRR because the holding period is exactly 5 years; change the hold and the two numbers decouple.
  • Forgetting to net exit debt out of Exit Enterprise Value before comparing proceeds to the equity check — Exit Enterprise Value is not Exit Equity Value.
  • Sizing entry debt off the exit EBITDA instead of the entry (LTM) EBITDA, which overstates how much debt the deal can actually raise at close.
  • Treating the exit multiple as automatically equal to the entry multiple without flagging that multiple compression or expansion is an assumption, not a given.
  • Solving the problem forward — picking an entry price first and then checking the resulting IRR — instead of solving backward from the target IRR to the maximum price, which is the actual "PE lens" this case is testing.

🔁 Follow-up questions

Previous Case 47: Full EV-to-Equity Bridge Next Case 49: DCF with Non-Operating Items

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