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LBO Ch.2 — Return Analysis: MOIC, IRR & the Math of Value Creation

Why MOIC and IRR give different conclusions, the J-curve, three value creation drivers (EBITDA growth, Multiple Expansion, Deleveraging), why exit multiple determines 50–60% of returns, vintage year effects, and carry waterfall math — the core return analytics of private equity.

MOICIRRJ-curveMultiple ExpansionDeleveragingValue CreationVintage YearLBO ReturnsExit Multiple

Ch.1

MOIC vs IRR — Same Deal, Different Conclusion

MOIC (Multiple on Invested Capital) is simple: exit proceeds ÷ capital invested. A 2.0x MOIC means doubling your money. It ignores time entirely.

IRR (Internal Rate of Return) is more complex: it converts all cash flows from investment to exit into an annualized compound rate. 2.0x MOIC in 3 years = 26% IRR. 2.0x MOIC in 10 years = 7.2% IRR. This difference is the core insight.

MOIC and IRR frequently conflict in PE practice. Which is better: 3-year hold at 2.0x MOIC (IRR 26%) or 7-year hold at 3.5x MOIC (IRR 19%)? MOIC says 3.5x by a wide margin. IRR says the shorter 2x deal at 26%. This tension is the central trade-off in PE decision-making.

Same MOIC (2.0x), IRR Drops Sharply with Longer Hold

All 2.0x MOIC — but IRR falls from 26% to 7%

Purple dashed = PE target IRR 20%. Even 2.0x MOIC must be achieved within ~3 years to meet the target.

MetricFormulaStrengthLimitation
MOICExit Proceeds ÷ Equity InvestedIntuitive absolute return — 'made 2x'Ignores time value — 3yr 2x ≠ 10yr 2x
IRRNPV=0인 할인율 (복리 연환산)Reflects time value — comparable annual rateSensitive to small interim cash flows, complex to compute
DPI / RVPIDistributions to Paid-In / Residual Value to Paid-InTracks actual cash returned (DPI)RVPI relies on unrealized fair value estimates

Longer Hold → Lower IRR (Fixed at 2.5x MOIC)

MOIC 2.5x fixed. Purple dashed = target IRR 20%. Must exit within ~5 years to achieve.

Ch.2

3 Value Creation Drivers — EBITDA, Multiple, Deleveraging

PE buyout returns are the sum of three drivers: ① EBITDA growth (operational improvement, revenue growth, cost reduction), ② Multiple Expansion (exiting at a higher multiple than entry), ③ Deleveraging (debt repayment growing equity value during the hold period).

Academic research (McKinsey, Bain) shows average large buyout return attribution: EBITDA growth 40%, Multiple Expansion 35–40%, Deleveraging 20–25%. But these proportions shift dramatically across eras — in the low-rate period (2010–2021), Multiple Expansion dominated; after 2022 rate hikes, Multiple Expansion became harder, raising the importance of EBITDA growth and Deleveraging.

Practitioners emphasize: PE fully controls EBITDA growth (management skill) and Deleveraging (financial structure). Multiple Expansion is largely dictated by market conditions. Finding deals that can hit target returns without relying on Multiple Expansion is the hallmark of a skilled PE firm.

Blackstone·Hilton Return Attribution (Estimated)

Estimated contribution of each driver to total 2.6x MOIC

42%
35%
23%

EBITDA Growth

42%

Operational improvements (occupancy + RevPAR increase), franchise expansion, cost structure optimization. Hilton grew EBITDA 3x from acquisition by adding ~3,000 net new rooms annually.

Multiple Expansion

35%

Exit at a higher multiple than entry. Hilton entered at 15.8x EV/EBITDA → exited at ~17x in 2018. Sector-wide hotel asset re-rating + Hilton brand premium expansion.

Debt Paydown (Deleveraging)

23%

Equity value grows as debt is repaid during the hold period. Hilton: Debt/EBITDA 12.4x (2007) → 3.2x (2018 exit). As debt shrinks, more of the same EV belongs to equity.

Historical Return Attribution Shifts by Era

2005–2008 (Bubble)

30%
50%
20%

Multiple Expansion over half — peak-buying risk embedded

2010–2014 (Recovery)

45%
30%
25%

Bottom entry + EBITDA recovery — balanced return structure

2018–2022 (Low Rate Late)

40%
38%
22%

Both EBITDA + Multiple contributing — boom pattern

EBITDA Growth Multiple Expansion Deleveraging

Ch.3

Vintage Year Effect — When You Invest Determines Returns

One of the most important, yet hardest to control, factors in PE returns is vintage year (fund formation year). A GP raising a fund in 2007 vs. 2009 will produce dramatically different returns with identical skill.

2007 vintage: bought at peak prices, hit by the GFC → median IRR 5–8%. 2009 vintage: bought at trough, rode the full 10-year market recovery → median IRR 18–20%. The same dollar invested produces 3–4x different returns based purely on timing.

Buyout Fund IRR by Vintage Year (Median vs. 3rd Quartile)

Note the dramatic IRR reversal from 2007 → 2009 vintages. Purple = target 20%, gray = public equity long-run avg 8%

Ch.4

Real Buyout Returns — MOIC & IRR Comparison

KKR / Dollar General (2007–2013)

View deal

MOIC

4.5x

IRR

70%

Hold

6yr

Financial crisis = recession-proof retail tailwind → EBITDA +35% + perfect 2009 IPO timing

MOIC

IRR

Apollo / ADT (2012–2018)

MOIC

3.2x

IRR

22.1%

Hold

6yr

Security subscription recurring revenue + IPO multiple expansion

MOIC

IRR

Blackstone / Hilton (2007–2018)

View deal

MOIC

2.6x

IRR

16.7%

Hold

11yr

EBITDA 3x growth + hotel asset appreciation

MOIC

IRR

Carlyle / Hertz (2005–2013)

MOIC

1.9x

IRR

10.2%

Hold

8yr

GFC crushed vehicle demand, long hold to recover

MOIC

IRR

KKR / RJR Nabisco (1989–1994)

View deal

MOIC

1.5x

IRR

8%

Hold

5yr

Brand value confirmed, tobacco litigation + management conflict limited returns

MOIC

IRR

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References

  1. [1]Kaplan, S.N. & Schoar, A. (2005). Private Equity Performance: Returns, Persistence, and Capital Flows. Journal of Finance, 60(4), 1791–1823.
  2. [2]Harris, R.S., Jenkinson, T., & Kaplan, S.N. (2014). Private Equity Performance: What Do We Know? Journal of Finance, 69(5), 1851–1882.
  3. [3]Bain & Company. (2024). Global Private Equity Report — Value Creation Analysis.
  4. [4]Blackstone. (2014). Hilton Hotels IPO Prospectus. NYSE: HLT. Annual Return Analysis.
  5. [5]Phalippou, L. (2017). Private Equity Laid Bare. CreateSpace.
  6. [6]McKinsey Global Institute. (2023). Private Markets Annual Review — LBO Return Attribution.

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LBO Ch.2 — Return Analysis: MOIC, IRR & the Math of Value Creation | Deal 101 | Deal Story | Deal Story