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Private Equity and Hedge Funds: Metrics and Fee Structures

Private funds differ from public markets in three structural ways: limited liquidity, multi-layer fees, and 'smoothed' reported returns. Understanding all three is a prerequisite for reading any performance report here — otherwise a young fund's IRR is as misleading as it is flattering.

نویسنده: FinScope Derivatives Editorial Team · آخرین به‌روزرسانی: ۱۶ آبان ۱۴۰۵

اهداف یادگیری

  • Compute and interpret DPI/RVPI/TVPI and XIRR from cash flows
  • Run a waterfall with hurdle, catch-up and clawback
  • Simulate the net-return effect of 2/20 fees with a high-water mark

پیش‌نیازها

Financial Derivatives from First Principles

Fund metrics: four numbers that tell the story

Four standard metrics come from the fund's cash flows: DPI (distributions ÷ paid-in — what has actually come back), RVPI (NAV ÷ paid-in — what remains unrealized), TVPI = DPI + RVPI (the total multiple), and XIRR (annualized IRR of irregular flows). The reading rule: a young fund with high TVPI and zero DPI is all paper; a mature fund with high DPI has converted to cash. To compare against public markets, KS-PME and PME+ benchmark the fund against 'the same money in an index' — KS > 1 (or fund IRR > PME+) means excess performance.

K = Σ contributions D = Σ distributions V = NAV
DPI = D/K RVPI = V/K TVPI = DPI + RVPI
KS-PME = (Σ dₛ/Iₛ + NAV/I_T) / (Σ cₛ/Iₛ)
The J-curve: early years are contribution-heavy and the net position digs negative; distributions lift it later. The depth and duration of that valley is a core allocation design input.

Fees: waterfalls and their traps

The standard LP waterfall has four steps: return of capital, preferred return (e.g., 8% compounded), GP catch-up (until the GP holds the carry share of distributed profits), and the 80/20 residual split. Deal-by-deal (American) waterfalls run the four steps per deal and cap cumulative GP compensation with a clawback at carry × whole-fund profit. In hedge funds, performance fees are disciplined by the high-water mark: no incentive fee until NAV exceeds its prior peak.

Worked example: a complete European waterfall

  1. Paid-in 100; single distribution of 200 after one year; hurdle 8%, catch-up 100%, carry 20%.
  2. Step 1: 100 returned to LP. Step 2: preferred = 8 to LP.
  3. Step 3: catch-up length W solves GP = 20% × (8 + W) → W = 2, all to GP.
  4. Step 4: residual 90 → GP 18, LP 72.
  5. GP total = 20 = 20% × profit of 100 ✓ — the complete-waterfall identity.

نتیجه: With sufficient distributions the GP earns exactly carry × profit; with smaller distributions the GP falls short of the target share — the 'effective GP share' the platform reports explicitly.

پرسش‌های متداول

High DPI with low TVPI — what does it mean?

The fund returned most of the capital but with a modest total return: small early distributions inflate IRR while the ending value is unimpressive. Re-up decisions should rest on TVPI and PME+, not IRR.

European vs American waterfall — what does it mean for the LP?

American structures pay GP earlier and leave the overpayment risk (later clawed back) with the LP; European is LP-friendly since no carry accrues before the whole fund profits. The difference is cash-flow timing and clawback risk.

Why do hedge fund Sharpes look so high?

Three structural reasons: valuation smoothing shaves reported volatility; skew and fat tails make the standard deviation less meaningful; and risk crystallizes in rare events. Always pair Sharpe with Sortino, Max DD and tail analysis.

منابع

  1. Kaplan, S., & Schoar, A. (2005). Journal of Finance.
  2. Rouvinez, C. (2003). Private Equity Benchmarking with PME+.
  3. Metrick, A., & Yasuda, A. (2010). Venture Capital and the Finance of Innovation. Wiley.
  4. Phalippou, L. (2022). Private Equity Laid Bare (2nd ed.).

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