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    Internal Rate of Return (IRR)

    Think of IRR as the annual percentage return your investment actually earns — it's the rate that makes all your cash inflows and outflows perfectly balance out to zero on a present-value basis.

    Definition

    The Internal Rate of Return (IRR) is the discount rate at which the Net Present Value (NPV) of all cash flows from an investment equals zero. In private equity, IRR is the primary metric for measuring fund and deal performance.

    Formula

    NPV = 0 = -Initial Investment + Σ [CFₜ / (1 + IRR)ᵗ]
    
    Solve for IRR (iterative — use Excel XIRR or IRR function)
    
    Rule of 72: Years to double ≈ 72 / IRR%
    $

    LBO Value Creation

    How PE sponsors turn $450M into $1.1B in 5 years

    Entry Equity (Year 0)$450M
    5 years later
    Exit Equity (Year 5)$1100M
    2.4x MOIC | ~20% IRR
    S

    Scenario Analysis

    Three views of the future — what drives the difference?

    Probability-Weighted: $50.00/share

    Tap a bar to see the assumptions behind each scenario

    How IRR Works

    IRR answers the question: 'What annual return does this investment generate?' Mathematically, you solve for the rate r where: 0 = -Initial Investment + CF₁/(1+r) + CF₂/(1+r)² + ... There is no closed-form solution — it must be solved iteratively (or with Excel's IRR function). A higher IRR means a more attractive return. In PE, a 'good' IRR is typically 20%+ net to investors, though top-quartile funds consistently achieve 25%+ gross IRR.

    IRR in Private Equity

    PE firms target gross IRRs of 20–30%+ on individual deals. IRR is highly sensitive to timing — returning capital quickly boosts IRR even if total cash returned is smaller. A fund that doubles money in 3 years earns ~26% IRR, but doubling in 5 years earns only ~15% IRR. This timing sensitivity is why PE firms use dividend recapitalizations (borrowing against the company to pay a special dividend) to return capital early and boost IRR. The trade-off: MOIC (Multiple on Invested Capital) may be lower.

    Limitations of IRR

    IRR assumes intermediate cash flows are reinvested at the IRR itself — often unrealistic if the IRR is 30%+. Non-conventional cash flows (alternating positive/negative) can produce multiple IRRs, making interpretation impossible. IRR also doesn't measure absolute value creation — a $1M project with 50% IRR creates less value than a $100M project with 20% IRR. MIRR (Modified IRR) addresses the reinvestment assumption by using a more realistic reinvestment rate.

    IRR vs. MOIC

    MOIC = Total Cash Returned / Total Cash Invested. It measures total value creation without considering timing. A deal returning 3.0x MOIC over 10 years has a lower IRR (~12%) than a 2.0x MOIC in 3 years (~26%). PE professionals evaluate both metrics together (see IRR vs. MOIC): high IRR + high MOIC is ideal, high IRR + low MOIC suggests quick but small returns, and low IRR + high MOIC suggests value creation over a long hold period.

    Worked Example — With Real Numbers

    A PE firm invests $200M in equity, receives $30M in annual dividends for 5 years, and exits for $500M in Year 5. Total cash flows: Year 0: -$200M, Years 1-4: +$30M, Year 5: +$530M. IRR ≈ 25%. MOIC = ($30M × 5 + $500M) / $200M = $650M / $200M = 3.25x.

    Key Takeaways

    1

    IRR is the discount rate where NPV equals zero — it tells you the annualized return of an investment

    2

    PE firms target 20-25%+ gross IRR on deals; top-quartile funds consistently hit 25%+ gross

    3

    IRR is highly sensitive to timing — returning capital faster dramatically boosts IRR even if total cash is the same

    4

    MOIC measures total return (cash out / cash in), while IRR measures time-weighted return — you need both

    5

    The Rule of 72: divide 72 by the IRR to approximate how many years it takes to double your money

    Common Mistakes in Interviews

    Using IRR alone to compare projects of different sizes — a small project with 50% IRR may create less value than a large one with 15% IRR

    Forgetting the reinvestment assumption: IRR assumes cash flows are reinvested at the IRR itself, which is often unrealistic at 25%+

    Not knowing that non-conventional cash flows (alternating positive and negative) can produce multiple IRRs

    Confusing gross IRR (before fees) with net IRR (after management fees and carry) — LPs care about net

    How Interviewers Test This

    PE interviews almost always ask about IRR. Key questions: 'What drives IRR in an LBO?' (leverage, EBITDA growth, multiple expansion, and timing of cash flows). 'How is IRR different from MOIC?' 'What's a good IRR for a PE deal?' (20%+ gross). Practice explaining the Rule of 72 and how returning capital early boosts IRR. A DCF is essentially an NPV calculation using projected cash flows.

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