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Learn / PE

LBO and Paper LBO

Practice sponsor returns math, debt schedules, and paper LBO shortcuts.

70 min7 checkpointsMastery —stub

Module roadmap

Mastery —
  1. 1lessonHow an LBO works
  2. 2concept labPaper LBO returns lab
  3. 3diagramQuiz: LBO sources and uses
  4. 4diagramDebt schedule and revolver
  5. 5diagramMOIC and IRR diagram
  6. 6diagramPaper LBO returns bridge
  7. 7quizLBO returns quiz

Work through in order

Checkpoints

learn → see → test → drill
  1. Checkpoint 1 · lesson

    How an LBO works

    LBO

    Prereq

    Review DCF and WACC before this checkpoint.

    What an LBO is

    In a leveraged buyout a financial sponsor (a private equity firm) buys a company using a large amount of debt — often 50–70% of the purchase price — and a smaller equity cheque. The company's own cash flow services and repays the debt, and the sponsor sells after 3–7 years. The target return is typically a 20–25% IRR and a 2.0–3.0x MOIC.

    Walk through a basic LBO model

    1. Transaction assumptions — purchase multiple (e.g. 10.0x EBITDA), debt tranches and leverage (e.g. 6.0x EBITDA), interest rates, fees.
    2. Sources and uses — uses are the equity purchase price, refinanced debt and fees; sources are the debt tranches, any rollover and the sponsor equity plug.
    3. Adjust the balance sheet — new debt, new equity, write-ups and goodwill; eliminate the target's old equity.
    4. Project the income statement and cash flow — EBITDA, interest on the new debt, taxes, capex and working capital to reach free cash flow.
    5. Debt schedule — mandatory amortization, then optional repayment with excess cash; the revolver covers shortfalls.
    6. Exit — EBITDA in the exit year × exit multiple = exit EV; subtract net debt for exit equity.
    7. Returns — MOIC and IRR on the sponsor's equity, with sensitivities to entry and exit multiples and leverage.

    Why leverage boosts returns

    • Less equity is needed for the same purchase price, so any value gain is spread over a smaller base.
    • Debt paydown from operating cash flow accrues to the equity holders.
    • Interest is tax-deductible, creating a tax shield.

    Leverage cuts both ways: if the business underperforms, fixed interest and covenants can wipe out the equity.

    Can more leverage lower IRR?

    Yes. Beyond a point, extra debt costs more (higher coupons, PIK, tighter covenants), interest absorbs the free cash flow that would otherwise repay debt, and the risk of breaching covenants or needing an equity cure rises. If the after-tax cost of the marginal debt exceeds the return the business earns on its capital, more leverage dilutes returns.

    What makes a good LBO candidate

    • Stable, predictable cash flow to support debt.
    • Low capex and working capital needs.
    • Strong market position and pricing power.
    • Opportunities to improve margins or grow (organically or via add-ons).
    • A realistic exit route — strategic sale, secondary buyout or IPO.
    • Assets that can serve as collateral, and a capable management team.

    Variables that matter most

    Purchase and exit multiples and EBITDA growth usually move returns the most; leverage and interest rates come next. Always ask how the deal performs if the exit multiple is 1–2 turns lower than entry.

    Interview answer template

    "A sponsor buys a company with mostly debt, uses the company's cash flow to pay interest and reduce debt over five years or so, then sells it. In the model we set assumptions, build sources and uses, project cash flow and a debt schedule, calculate exit equity, and measure IRR and MOIC."

    Warren

    Warren

    Returns come from three levers: deleveraging, EBITDA growth, and multiple change. In a paper LBO, say which lever is doing the work before you do the math.
    Open concept lab →
  2. Checkpoint 2 · concept lab

    Paper LBO returns lab

    LBO

    The paper LBO format

    A paper LBO is a mental-maths LBO you do with a pen in five to ten minutes. The interviewer wants a structured process and sensible rounding, not decimals.

    Step by step with numbers

    Assumptions: EBITDA 100, purchase at 10.0x, leverage 6.0x, 5-year hold, exit at 10.0x, ignore fees and minimum cash.

    1. Entry: EV = 100 × 10.0x = 1,000. Debt = 6.0 × 100 = 600. Sponsor equity = 1,000 − 600 = 400.
    2. Operations: EBITDA grows to 150 by year 5. Free cash flow after interest and taxes totals 300 over the hold and is used to repay debt, so debt falls to 300.
    3. Exit: EV = 150 × 10.0x = 1,500. Exit equity = 1,500 − 300 = 1,200.
    4. Returns: MOIC = 1,200 ÷ 400 = 3.0x. IRR ≈ 25% (3.0x over five years is about 24.6%).

    IRR shortcuts to memorise

    MOIC3 years5 years
    1.5x≈ 14%≈ 8%
    2.0x≈ 26%≈ 15%
    2.5x≈ 36%≈ 20%
    3.0x≈ 44%≈ 25%

    Doubling in five years is roughly 15%; tripling is roughly 25%.

    Attribute the gain

    The equity grew by 800 (from 400 to 1,200). Split it:

    • EBITDA growth: 50 of new EBITDA × 10.0x entry multiple = 500
    • Multiple expansion: exit multiple equals entry, so 0
    • Deleveraging: debt repaid 600 − 300 = 300

    500 + 0 + 300 = 800. Interviewers love this split because it shows where value came from.

    Sensitivity: exit one turn lower

    At a 9.0x exit, EV = 1,350 and exit equity = 1,050. MOIC = 2.6x and IRR falls to about 21%. Multiple contraction of one turn cost 150 of equity, which is why sponsors underwrite a flat or lower exit multiple.

    Back-solving the price for a target IRR

    "What can we pay for a 20% IRR?" 20% for five years ≈ 2.5x. Exit equity 1,200 ÷ 2.5 ≈ 480 of equity today. Holding debt at 600, the maximum EV is about 1,080, or roughly 10.8x EBITDA.

    Common mistakes

    1. Forgetting to subtract remaining debt at exit.
    2. Using EV instead of equity for MOIC.
    3. Applying free cash flow before interest — cash available to repay debt is after interest and taxes.
    4. Ignoring fees in a real deal; they add to uses and increase the equity cheque.

    Use the sources and uses quiz and the returns diagrams in this module to rehearse each step.

    LBO Sources and Usescanvas

    Drawing diagram…

    Read the diagram in words

    Uses are what the deal must pay for: the target's equity at the offer price times diluted shares, refinancing of existing debt, transaction and financing fees, and any cash left on the balance sheet. Sources fund those uses: senior secured debt, junior debt such as high-yield notes, management rollover and sponsor equity. Sponsor equity is the plug that makes total sources equal total uses.

    Open concept lab →
  3. Checkpoint 3 · diagram quiz

    Quiz: LBO sources and uses

    LBO
    Quiz: LBO sources and usesfill in · 0/4

    A sponsor buys a company with EBITDA of 100 at 10.0x enterprise value, raises debt of 5.0x EBITDA and pays 20 of fees. Complete sources and uses.

    Fill-in quiz. Purchase enterprise value is 100 × 10.0x = 1,000; with 20 of fees total uses are 1,020. Debt at 5.0x EBITDA is 500, so sponsor equity plugs 520 and total sources equal total uses.must equalUse: purchase enterprise valueblank 1Use: transaction fees 20Total usesblank 2Source: debt at 5.0x EBITDAblank 3Source: sponsor equity (plug)blank 4Total sources = total uses
    1. Use: purchase enterprise value
    2. Total uses
    3. Source: debt at 5.0x EBITDA
    4. Source: sponsor equity (plug)

  4. Checkpoint 4 · diagram

    Debt schedule and revolver

    LBO
    Debt schedule and revolvercanvas

    Drawing diagram…

    Read the diagram in words

    Start with free cash flow after interest and taxes and add beginning cash above the minimum cash balance to get cash available for debt repayment. Pay mandatory amortization first. If cash is left over, sweep it into optional repayments, paying down the revolver first and then prepayable term loans. If there is a shortfall, draw on the revolver up to its commitment. Ending balances drive interest expense, which feeds back into the income statement; using average balances creates a circular reference.

  5. Checkpoint 5 · diagram

    MOIC and IRR diagram

    LBO
    MOIC and IRRcanvas

    Drawing diagram…

    Read the diagram in words

    MOIC is total equity proceeds divided by equity invested and ignores time. IRR is the discount rate that sets the net present value of the equity cash flows to zero; with a single exit it equals MOIC to the power of one over the holding period, minus one. Rules of thumb: 2.0x over 3 years is about 26%, 2.0x over 5 years about 15%, and 3.0x over 5 years about 25%. The same MOIC over a longer hold means a lower IRR.

  6. Checkpoint 6 · diagram

    Paper LBO returns bridge

    LBO
    Paper LBO returns bridgecanvas

    Drawing diagram…

    Read the diagram in words

    Paper LBO: buy EBITDA of 100 at 10.0x for an enterprise value of 1,000, funded with 600 of debt and 400 of sponsor equity. Over five years EBITDA grows to 150 and 300 of cumulative free cash flow repays debt down to 300. Exiting at 10.0x gives an enterprise value of 1,500 and exit equity of 1,200, a 3.0x MOIC and roughly 25% IRR.

  7. Checkpoint 7 · quiz

    LBO returns quiz

    LBO

    Starts a module drill with 6 questions linked to this checkpoint. Answer out loud first, then compare.

Firm application

Apply this module

Warren
Focuses the RAG pack on LBO.
Warren

Warren

Returns come from three levers: deleveraging, EBITDA growth, and multiple change. In a paper LBO, say which lever is doing the work before you do the math.