“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.”
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.
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.
The fund is evaluating a leveraged buyout with the following assumptions.
| Line Item | Value |
|---|---|
| LTM EBITDA (Entry) | $50.0m |
| Projected EBITDA (Exit, Year 5) | $75.0m |
| Assumed Exit Multiple | 8.0x EV/EBITDA |
| Entry Leverage | 5.0x LTM EBITDA |
| Net Debt at Exit | $90.0m |
| Target IRR | 25% (0.25) |
| Holding Period | 5 years |
Exit Enterprise Value = Exit EBITDA × Exit Multiple
Using this formula, compute Exit Enterprise Value.
Exit Equity Value = Exit Enterprise Value − Net Debt at Exit
Using this formula, compute Exit Equity Value.
Required MOIC = (1 + Target IRR) ^ Holding Period
Using this formula, compute the equity multiple the fund needs to hit its target IRR.
Maximum Equity Check = Exit Equity Value / Required MOIC
Using this formula, compute the maximum amount of equity the fund can invest today.
Maximum Entry Enterprise Value = Maximum Equity Check + Entry Debt; Maximum Entry Multiple = Maximum Entry Enterprise Value / LTM EBITDA
Assume:
Using these inputs, compute the maximum entry multiple the fund can pay today.
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