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    Paper LBO

    A paper LBO is the quick mental-math version of a full LBO model — you sketch out the purchase, debt paydown, and exit to estimate returns in about 5 minutes.

    Definition

    A Paper LBO is a simplified, back-of-the-envelope leveraged buyout analysis that candidates are expected to perform quickly during private equity and investment banking interviews — often with pen and paper and no calculator. It tests your ability to walk through the core LBO mechanics: entry valuation, debt structure, operating performance, debt paydown, and exit returns, typically calculating an approximate IRR and MOIC in under 10 minutes.

    Formula

    IRR ≈ MOIC^(1/n) − 1
    MOIC = Exit Equity / Entry Equity
    Entry Equity = Purchase Price − Total Debt

    MOIC

    Multiple of Invested Capital — total equity return as a multiple of the initial equity check

    IRR

    Internal Rate of Return — the annualized return on the equity investment

    n

    Holding period in years (typically 5 in a standard paper LBO)

    Exit Equity

    Exit enterprise value minus remaining net debt at the time of sale

    Entry Equity

    The sponsor's initial equity check — purchase price minus debt raised at entry

    LBO

    Paper LBO in 5 Steps

    The mental framework for back-of-the-envelope LBOs

    1

    Entry Valuation

    Calculate purchase price using entry EV/EBITDA multiple

    2

    Build Projections

    Project revenue, EBITDA, and free cash flow over 5 years

    3

    Debt Paydown

    Use free cash flow to repay debt each year

    4

    Exit Valuation

    Apply exit multiple to Year 5 EBITDA

    5

    Calculate Returns

    Compute MOIC and IRR on sponsor equity

    $

    LBO Returns Summary

    From entry to exit — how returns are generated

    Entry EV

    8.0x × $62.5M EBITDA

    $500M

    Debt (60%)

    4.8x leverage

    $300M

    Equity In

    Sponsor check

    $200M

    Exit EV (Yr 5)

    8.0x × $93.8M EBITDA

    $750M

    Net Debt at Exit

    After paydown

    $150M

    Equity Out

    Exit EV − Net Debt

    $600M
    MOIC / IRR3.0x / ~24.6%
    %

    IRR Mental Math

    Quick approximations every PE analyst should know

    Rule of 72: Divide 72 by IRR% to get doubling time (or vice versa)

    72 ÷ 3 years = ~24% IRR for a 2x return

    MOIC
    3-Yr IRR
    5-Yr IRR
    Shortcut
    2.0x
    ~26%
    ~15%
    72 ÷ 3 ≈ 24%
    2.5x
    ~36%
    ~20%
    3.0x
    ~44%
    ~25%
    Triple in 3 → ~44%
    4.0x
    ~59%
    ~32%
    5.0x
    ~71%
    ~38%
    5x in 5 → ~38%

    What Is a Paper LBO?

    A Paper LBO is a streamlined version of a full leveraged buyout model that tests whether a candidate can quickly assess a deal's return potential using basic assumptions. Interviewers provide a handful of inputs — purchase multiple, EBITDA, leverage, growth rate, and exit multiple — and expect you to calculate the approximate IRR and MOIC within minutes. The exercise strips away the complexity of a full LBO model to focus on the fundamental drivers of returns: entry price, operational improvement, debt paydown, and multiple expansion or contraction.

    Step-by-Step Walkthrough

    Step 1: Calculate enterprise value at entry (EBITDA × entry multiple). Step 2: Build the sources and uses — determine how much debt vs. equity funds the purchase. Step 3: Project EBITDA over the hold period (typically 5 years) using the given growth rate. Step 4: Calculate cumulative free cash flow available for debt paydown — EBITDA minus interest, taxes, capex, and working capital changes. Step 5: Determine exit enterprise value (exit year EBITDA × exit multiple). Step 6: Subtract remaining debt from exit EV to get exit equity. Step 7: Calculate MOIC (exit equity ÷ entry equity) and approximate IRR.

    IRR Approximation Shortcuts

    The Rule of 72 helps approximate IRR quickly: if money doubles, IRR ≈ 72 ÷ years. A 2.0x MOIC over 5 years is roughly 15% IRR. A 3.0x over 5 years is roughly 25%. For more precision, memorize key benchmarks: 2.0x/5yr = ~15%, 2.5x/5yr = ~20%, 3.0x/5yr = ~25%. LBO returns come from three sources — EBITDA growth, multiple expansion, and debt paydown — and you should be able to attribute how much each contributes. The best candidates frame their answer around these three return drivers and quickly sanity-check whether the deal clears typical PE hurdles of 20%+ IRR.

    Common Interview Format

    You will typically be given a prompt like: 'A PE firm acquires a company for 8x EBITDA on $100M of EBITDA using 5x leverage. EBITDA grows 5% annually. Assume all excess cash pays down debt. Exit at 8x after 5 years. What are the returns?' The interviewer wants to see organized thinking, clean arithmetic, and awareness of what drives returns. Write your work neatly: entry EV, sources and uses, projected EBITDA, cumulative debt paydown, exit EV, exit equity, MOIC, and IRR. Narrate each step as you go — this demonstrates your thought process even if you make a small arithmetic error.

    Worked Example — With Real Numbers

    Entry: $100M EBITDA × 8x = $800M EV. Sources: 5x leverage = $500M debt, $300M equity. Over 5 years, EBITDA grows 5% annually to $127.6M. Assume ~$150M cumulative debt paydown from free cash flow, leaving $350M debt. Exit: $127.6M × 8x = $1,021M EV. Exit equity = $1,021M − $350M = $671M. MOIC = $671M ÷ $300M = 2.24x. IRR ≈ 2.24^(1/5) − 1 ≈ 17.5%. The deal clears a 15% hurdle but falls short of 20%. Return attribution: ~28% from EBITDA growth, ~50% from debt paydown, ~22% from entry equity (no multiple expansion).

    Key Takeaways

    1

    A paper LBO tests your ability to quickly assess deal returns using mental math and a few key assumptions

    2

    Three return drivers: EBITDA growth, debt paydown, and multiple expansion (or contraction)

    3

    Memorize IRR benchmarks: 2.0x/5yr ≈ 15%, 2.5x/5yr ≈ 20%, 3.0x/5yr ≈ 25%

    4

    Always structure your work: entry EV → sources & uses → projections → exit → returns

    5

    Narrate your thought process — interviewers care as much about structure as the final number

    Common Mistakes in Interviews

    Forgetting to subtract remaining debt from exit enterprise value to get exit equity

    Not accounting for interest expense when calculating free cash flow available for debt paydown

    Confusing MOIC with IRR — a 3.0x return sounds great but over 10 years it's only ~12% IRR

    Skipping the sources and uses step, which causes errors in the equity check calculation

    How Interviewers Test This

    Practice paper LBOs until you can do one in under 5 minutes. Start by writing down the framework (entry, project, exit, returns) before filling in numbers. If you get stuck on mental math, round aggressively — interviewers want to see the right process more than exact arithmetic. Always end by attributing returns to the three drivers.

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