AFM 377: Private Equity and Venture Capital

Steven Balaban

Estimated study time: 1 hr 47 min

Table of contents

Sources and References

Primary textbook — Lerner, J., Hardymon, F., & Leamon, A. (2012). Venture Capital and Private Equity: A Casebook, 5th ed. Wiley. Metrick, A., & Yasuda, A. (2021). Venture Capital and the Finance of Innovation, 3rd ed. Wiley. Supplementary — Kaplan, S. N., & Strömberg, P. (2009). “Leveraged Buyouts and Private Equity.” Journal of Economic Perspectives, 23(1), 121–146. Gompers, P., Kaplan, S., & Mukharlyamov, V. (2016). “What do private equity firms say they do?” Journal of Financial Economics. Gompers, P. & Lerner, J. (2004). The Venture Capital Cycle, 2nd ed. MIT Press. Online resources — Preqin (preqin.com); PitchBook (pitchbook.com); CFA Institute Alternative Investments materials; Harvard Business School case collection (hbsp.harvard.edu); Cambridge Associates benchmarks; ILPA (ilpa.org) reporting standards.


Chapter 1: Alternative Investments and the Role of Private Equity

1.1 The Alternative Investment Landscape

Alternative investments encompass any asset class that falls outside the three traditional categories of public equities, investment-grade fixed income, and cash. The alternatives universe is broad and heterogeneous, ranging from illiquid private markets to liquid-but-complex hedge fund strategies:

CategoryExamplesPrimary Risk/Return Drivers
Private EquityBuyouts, venture capital, growth equityOperational improvement, leverage, multiple expansion
Private CreditDirect lending, mezzanine, distressed debtCredit risk, illiquidity premium
Hedge FundsLong/short equity, macro, event-drivenStrategy-specific; alpha extraction
Real AssetsInfrastructure, timberland, farmlandCash flow stability, inflation linkage
Real EstateCore, value-add, opportunisticIncome, appreciation, leverage
CommoditiesEnergy, metals, agriculturalSupply/demand dynamics, inflation hedge

Institutional investors — endowments, pension funds, sovereign wealth funds, large family offices — allocate meaningfully to alternatives for several reasons: (1) the illiquidity premium, which theoretically compensates patient capital for sacrificing daily liquidity; (2) the potential for manager alpha that is more accessible in less efficient private markets; and (3) portfolio diversification benefits, particularly the low correlation of private equity returns with public market indices (though this low correlation partly reflects appraisal smoothing of valuations rather than true economic independence).

Illiquidity Premium: The excess return demanded by investors who cannot easily sell an investment before its natural termination. In PE, the illiquidity premium is estimated to range from 200 to 400 basis points annually above public equity benchmarks, though the magnitude is highly debated and depends on fund manager skill. Antti Ilmanen (AQR) and colleagues have emphasized that much of the observed PE premium is compensation for illiquidity and leverage rather than pure alpha.

1.2 What Is Private Equity?

Private equity (PE) refers to equity capital invested in companies that are not listed on public stock exchanges. In practice, the term covers a range of strategies differing by target company maturity, transaction structure, and return mechanism:

Venture Capital (VC): Equity investment in early-stage companies with high growth potential but uncertain outcomes. Returns are driven by the success of a small number of "home run" investments that return multiples of invested capital. Portfolio construction typically assumes a power-law distribution of outcomes. Metrick and Yasuda (2021) document that VC returns are highly skewed, with the top decile of investments frequently accounting for more than half of a fund's total realized value.
Growth Equity: Minority or majority investment in more mature, profitable (or near-profitable) companies seeking capital to scale operations, enter new markets, or fund acquisitions. Less risk than venture because the business model is proven, with lower leverage than buyout because the company often does not require financial engineering to generate returns.
Leveraged Buyout (LBO): Acquisition of a company using a combination of equity from the PE fund and substantial debt financing, with the debt secured against the target company's assets and cash flows. Return is driven by a combination of operational improvement, debt paydown (deleveraging), and multiple expansion. Kaplan and Strömberg (2009) document that PE-backed companies undergo significant operational and governance changes post-acquisition.
Distressed / Turnaround: Investment in companies experiencing financial or operational distress, with the goal of restructuring the business or its balance sheet. Returns depend on buying below intrinsic value and executing a recovery plan. Distressed debt investing overlaps with this category, where investors acquire debt trading at a discount and seek recovery through bankruptcy or restructuring.
Mezzanine / Private Credit: Hybrid debt-equity instruments subordinated to senior debt but senior to equity. Mezzanine capital often carries equity kickers (warrants or convertibility features) that allow the lender to participate in equity upside. Private credit more broadly has grown dramatically since the Global Financial Crisis as bank balance sheets retrenched, creating space for non-bank lenders.

1.3 Who Invests in Private Equity?

The LP base of a typical large buyout fund is diverse, though dominated by a handful of institutional categories:

LP TypeTypical PE AllocationKey Characteristics
Public Pension Funds8–15% of assetsLong investment horizon; CalPERS, OTPP, CPP Investments
Endowments20–40% of assetsPerpetual horizon; Yale, Harvard, Princeton models
Sovereign Wealth Funds5–20% of assetsGovernment-owned; GIC (Singapore), ADIA (Abu Dhabi)
Insurance Companies2–8% of assetsRegulatory constraints (RBC, Solvency II); ALM requirements
Family OfficesVariableHigh-net-worth; increasingly direct investing
Banks and CorporationsSmallOften strategic/co-investment; regulatory limits post-Volcker
Fund of FundsN/A (intermediate)Provide diversification; charge additional fee layer
High-Net-Worth IndividualsVariableAccess via feeder funds; regulatory accreditation required

The Yale Endowment, managed by the late David Swensen, pioneered the institutional allocation to private equity and venture capital, achieving superior long-term returns relative to a traditional stock-bond portfolio. The Yale Model (also called the Endowment Model) tilts heavily toward illiquid alternatives, reflecting the endowment’s perpetual time horizon and lack of meaningful near-term liquidity needs. As of fiscal 2023, Yale allocated approximately 40% of assets to private equity and venture capital combined.

Endowments can sustain such high illiquid allocations because their annual spending needs (typically 4–6% of asset value) are well below expected returns, creating perpetual surplus capital to invest. Pension funds face different constraints: they must meet defined benefit obligations on known future dates, imposing liquidity requirements that limit illiquid allocations.

1.4 The Role of Private Equity in a Portfolio

The J-Curve Effect and vintage year diversification are central concepts for LP portfolio construction.

J-Curve Effect: In the early years of a PE fund's life, reported returns are typically negative. Management fees are charged immediately on committed capital, while investments are marked at cost and few exits have generated cash. As investments mature, are marked up, and eventually exited, returns rise sharply — producing a curve shaped like the letter "J" when fund IRR or TVPI is plotted against time. The typical PE fund reaches positive territory around years 4–6 and peaks around years 7–9.
Vintage Year Diversification: Because PE fund returns are heavily influenced by when the fund invested (the vintage year) — entry valuations, credit market conditions, and exit market conditions all vary with the economic cycle — investors should diversify across multiple vintage years rather than concentrating commitments in a single period. A 2006-vintage buyout fund faced expensive entry valuations and then the Global Financial Crisis; a 2009-vintage fund bought at distressed valuations and benefited from the subsequent decade-long expansion.
Commitment Pacing: Because capital is called over 3–5 years after the commitment date, an LP wishing to maintain a 15% PE allocation must commit capital well in advance of needing it deployed. If a fund takes four years to call capital and the LP wants \$100M deployed in PE, the LP must commit roughly \$25–30M per year to maintain a steady pace. This pacing discipline is a core skill of PE portfolio management.

Chapter 2: Fund Structure and Economics

2.1 The Limited Partnership Structure

The dominant legal structure for private equity funds is the limited partnership (LP). The structure separates the general partner (GP) from the limited partners (LPs):

General Partner (GP): The PE firm that manages the fund. The GP contributes a small percentage of capital (typically 1–2%, known as the "GP commit") and earns management fees and carried interest. The GP has unlimited liability and full investment discretion. GP commitment requirements have increased since the Global Financial Crisis as LPs demand greater alignment; some LPs insist on 3–5% GP commits for new fund relationships.
Limited Partners (LPs): Institutional and accredited investors who commit capital to the fund. LPs have limited liability — they cannot lose more than their committed capital — and no day-to-day management authority. In exchange for surrendering control, LPs receive the protections embedded in the Limited Partnership Agreement (LPA).

The Limited Partnership Agreement (LPA) is the governing document. It specifies:

  • The fund’s investment strategy, geographic focus, and sector focus (or restrictions)
  • The fund’s term (typically 10 years, with optional 1–2 year extensions, subject to LP advisory board consent)
  • The investment period (typically 5 years), during which the GP can make new investments; after this period, capital can only be deployed into follow-on investments in existing portfolio companies
  • The management fee and carried interest structure
  • The distribution waterfall and hurdle rate
  • Key-person provisions: if certain named investment professionals leave the firm, LPs may have the right to halt new investments or terminate the fund
  • LP advisory board (LPAC) rights: the LPAC (usually 5–10 major LPs) approves conflict-of-interest transactions, valuation disputes, and extensions

2.2 Capital Calls and Distributions

PE funds do not receive all committed capital at fund launch. Instead, the GP issues capital calls (also called drawdowns) as investment opportunities arise, typically with 10–14 days’ notice.

Example: Capital Call Mechanics
Maple Leaf Partners III has \$500M in committed capital from 20 LPs. In Month 7, the GP identifies a \$50M equity investment. The GP issues a capital call for 10% of committed capital (\$5M per LP that has committed \$50M; others proportionally). Each LP must wire its pro-rata share within 10 business days. The fund then deploys the \$50M into the investment.

Distributions flow in the reverse direction — from the fund to LPs — when portfolio companies are exited or generate dividend income. The sequence and allocation of distributions is governed by the waterfall (see Section 2.4).

Unfunded Commitment: The difference between an LP's total commitment and the amount actually called to date. An LP that has committed \$100M but had \$60M called has \$40M in unfunded commitments, which the LP must keep liquid and available to fund future capital calls.

2.3 How PE Firms Make Money: the Two and Twenty Model

PE firms are compensated through two mechanisms:

Management Fee: Typically 1.5–2.0% per annum of committed capital during the investment period (usually the first 5 years), then transitioning to a percentage of invested (or net asset) value in the harvesting period. For a $1 billion fund, this generates $15–20M per year in management fee income. Management fees cover fund operating costs (staff salaries, rent, travel, legal fees) and fund administration. They are not a profit center but rather a subsidy for operations; the real profit comes from carry. Some LP negotiations have successfully reduced management fees (especially on large funds) or obtained management fee offsets against monitoring fees charged to portfolio companies.

Carried Interest (Carry): The GP’s share of profits above the hurdle rate. The standard carry is 20% of profits, with some top-tier managers (Sequoia, a16z in certain structures) charging 25–30%. Carry is only earned after LPs receive their contributed capital back plus the preferred return. Gompers, Kaplan, and Mukharlyamov (2016) surveyed 79 PE firms and found that approximately half charge 20% carry with the remainder charging lower rates; very few charge above 20% except in VC.

Preferred Return (Hurdle Rate): The minimum annualized return LPs must receive before the GP earns any carried interest. Typically set at 8% per annum on invested capital (IRR basis). The hurdle rate aligns GP incentives with LP returns: GPs cannot earn carry until LPs have first achieved a meaningful base return.

GP Catch-Up: Once LPs have received their invested capital plus an 8% preferred return, the GP typically receives a “catch-up” allocation of profits until it has received 20% of all profits above the hurdle. In a “full catch-up” structure, 100% of profits go to the GP until the carry ratio is reached. In a “partial catch-up,” this is split (e.g., 50/50) until the ratio is reached. After the catch-up, all remaining profits split 80% LP / 20% GP.

Example: Carried Interest Calculation (Simple)
A \$500M fund achieves total distributions of \$1,000M after a 10-year life. LPs contributed \$500M and are entitled to an 8% annualized hurdle (assume, simplified, total hurdle = \$500M × (1.08^10 − 1) = \$579M total hurdle payment, so LPs want back \$500M + \$579M before GP takes carry — but let's simplify to a flat structure for illustration).

Simplified waterfall (flat preferred return of \$400M on \$500M invested):
Total distributions: \$1,000M
Step 1 — Return of LP capital: \$500M to LPs
Step 2 — Preferred return (8% flat for illustrative purposes): \$400M to LPs
Remaining: \$1,000M − \$500M − \$400M = \$100M
Step 3 — GP catch-up (GP receives 100% until it has 20% of total profits):
Total profit = \$1,000M − \$500M = \$500M; GP's 20% share = \$100M
GP catch-up = \$100M (GP receives all \$100M remaining)
LP total: \$500M + \$400M = \$900M; GP total: \$100M
Result: LP receives 90%, GP receives 10% of total distributions — consistent with the GP earning 20% of the \$500M profit above contributed capital (\$100M carry).

2.4 Distribution Waterfall

The waterfall specifies the order in which distributions are allocated between the GP and LPs. Two main structures exist in practice:

American (Deal-by-Deal) Waterfall: The GP earns carried interest on each successful exit as it occurs, before all contributed capital has been returned. The structure is: (1) return of invested capital on that deal; (2) preferred return on that deal; (3) GP catch-up; (4) 80/20 split. This is more favorable to the GP — GPs can pocket carry early in the fund’s life — but creates clawback risk if subsequent investments underperform.

European (Whole-Fund) Waterfall: LPs receive all contributed capital (across all investments) plus the preferred return on the entire fund before the GP receives any carry. The structure is: (1) return of all LP capital; (2) preferred return on all LP capital; (3) GP catch-up; (4) 80/20 split. This is more conservative and better aligned with LP interests. European-style waterfalls are standard in European buyout funds and have become increasingly common in U.S. buyout funds post-GFC.

Clawback Provision: In a deal-by-deal waterfall, if the GP has received carried interest on early wins but the overall fund underperforms, the GP must repay (“claw back”) excess carry to LPs. A typical LPA includes an escrow requirement where 25–30% of distributed carry is held in escrow until the fund’s performance is finalized, providing a ready source of clawback capital. Clawback provisions are a significant source of GP-LP disputes, particularly when GPs have distributed carry as compensation to investment professionals who may no longer be with the firm.

2.5 Management Fee Offsets and Portfolio Company Fees

In addition to management fees, GPs historically generated substantial income from portfolio companies through monitoring fees (annual advisory fees), transaction fees (charged when deals are closed), and director fees. These practices drew LP criticism for misaligning incentives (GPs profit even when portfolio companies do not perform). The ILPA (Institutional Limited Partners Association) Principles recommend that 100% of transaction fees and 80–100% of monitoring fees be credited against the management fee payable by LPs. Top-tier GPs now typically apply full offsets as a condition of maintaining LP relationships.


Chapter 3: Deal Sourcing and Due Diligence

3.1 Finding Investment Opportunities

The private equity deal sourcing process is fundamentally a relationship-driven business. Unlike public market investing, where order flow is broadly accessible, PE deal flow depends on proprietary relationships:

  • Investment banks: M&A advisory firms run formal auction processes (controlled auctions) for sellers who want competitive tension; they also share deal flow with preferred GP clients in bilateral or limited-process situations. Large PE shops have dedicated banker relationship management functions.
  • Company management and boards: Direct outreach to companies that fit the fund’s thesis, often preceding any formal sale process. This “proactive origination” is highly valued — proprietary deals bypass competitive auctions and are often priced more favorably.
  • Intermediaries and advisors: Accountants, lawyers, and consultants who advise private business owners often surface early conversations before any formal process.
  • Portfolio company relationships: Existing portfolio companies can introduce adjacent acquisition targets for add-on strategies (bolt-on acquisitions).
  • Co-investors and secondary buyers: Relationships with other funds generate co-investment and secondary opportunities.
  • Operating partners and industry executives: Many PE firms employ former CEOs and industry veterans as operating partners or senior advisors who maintain their own networks and can identify attractive targets.
Proprietary Deal Flow: Top-quartile PE firms benefit from proprietary deal flow — opportunities that come to them before (or instead of) going to a broad market process. This proprietary flow typically reflects the firm's sector expertise, operating partner relationships, and brand reputation as a value-adding partner to management. Gompers and Lerner (2004) show that VC firms with strong reputations receive better deal flow, consistent with the hypothesis that deal sourcing is a critical source of alpha.

3.2 The Deal Process: From Screening to Signing

A typical buyout deal process unfolds over 3–6 months:

  1. Initial Screening: The deal team reviews a company information memorandum (CIM) or teaser and assesses fit with the fund’s strategy (sector, geography, size, leverage profile). Most deals are rejected at this stage.
  2. Non-Disclosure Agreement (NDA): If the firm wants to proceed, it signs an NDA to receive confidential information.
  3. Preliminary Due Diligence and IOI: The firm builds a preliminary financial model and submits an Indication of Interest (IOI) or preliminary bid, often a valuation range.
  4. Management Presentation: Management presents the business to the PE firm’s investment team. The PE team asks detailed questions about competitive dynamics, customer relationships, and operational challenges.
  5. Letter of Intent (LOI): If selected to proceed, the PE firm submits a binding or non-binding letter of intent with a purchase price and key terms (exclusivity period, conditions to close).
  6. Full Due Diligence: During the exclusivity period (typically 45–90 days), the PE firm conducts comprehensive financial, legal, commercial, tax, environmental, and IT due diligence. This involves third-party advisors (accounting firms for QofE, consultants for commercial DD, law firms for legal DD).
  7. Investment Committee Approval: The deal team presents to the firm’s investment committee (IC) for formal approval. The IC scrutinizes the investment thesis, valuation, risks, and exit assumptions. A written investment memorandum is prepared.
  8. Definitive Agreement and Closing: The purchase agreement (PA) or merger agreement is negotiated and signed, then closing conditions are satisfied (regulatory approvals, financing commitment letters, etc.).

3.3 Due Diligence Deep Dive

Financial Due Diligence: Analysis of historical financials (typically 3–5 years), quality of earnings, working capital dynamics, normalized EBITDA adjustments, CapEx requirements, and debt capacity. Quality of Earnings (QofE) reports, commissioned from accounting firms, identify one-time items and non-recurring revenues or costs that inflate reported profitability. Common EBITDA adjustments include: (a) removing non-recurring restructuring charges; (b) normalizing owner compensation to market rates; (c) identifying revenue recognized in unusual ways; (d) assessing the sustainability of customer contracts and backlog.

Commercial Due Diligence: Assessment of the target’s competitive position, market size and growth, customer concentration, pricing power, and the durability of revenue. Often supported by management consulting firms. Questions addressed include: Is the market growing? Is the company gaining or losing market share? Are customer relationships sticky or transactional? What is the competitive moat (switching costs, network effects, regulatory barriers)?

Legal Due Diligence: Review of material contracts (customer and supplier agreements, leases, IP licenses, employment agreements), regulatory compliance, pending litigation, environmental liabilities, and change-of-control provisions in key contracts. Identifies representations and warranties risk and informs indemnification provisions in the purchase agreement. In the U.S., PE deals typically include R&W (representations and warranties) insurance, which transfers certain legal risks from the seller to an insurer.

Management Due Diligence: Evaluation of the quality and completeness of the management team. Determines whether the existing team can execute the post-acquisition value creation plan or whether replacements or additions are needed. PE firms often use psychometric assessments and reference checks conducted by executive search firms (Spencer Stuart, Egon Zehnder).

IT and Cybersecurity Due Diligence: Increasingly important as companies become more digitally dependent. Assesses systems architecture, cybersecurity posture, and technology debt. A company relying on legacy systems may require significant capital investment post-close.

3.4 Longer-Life Funds

Traditional PE funds have 10-year terms (plus extensions). However, an emerging category of longer-life funds (12–20 year terms) accommodates investments in assets with longer holding periods — infrastructure-like businesses, complex carve-outs, or family-controlled companies that require patient ownership. Blackstone’s Core Private Equity vehicle, for example, uses a perpetual structure. These vehicles are attractive to LPs that want to reduce the transaction cost of continuously re-committing to new funds and benefit from longer compounding of strong assets.


Chapter 4: Performance Metrics — IRR, MOIC, DPI, TVPI, and PME

4.1 Internal Rate of Return (IRR)

The Internal Rate of Return (IRR) is the discount rate that equates the present value of all cash outflows (capital calls, negative) with the present value of all cash inflows (distributions, positive) from a PE investment. Formally, for cash flows \( C_0, C_1, \ldots, C_n \) at times \( t_0, t_1, \ldots, t_n \):

\[ \sum_{i=0}^{n} \frac{C_i}{(1 + \text{IRR})^{t_i}} = 0 \]

where outflows (capital calls) are negative and inflows (distributions) are positive.

IRR is time-sensitive: returning capital faster increases IRR even if the total dollars returned are unchanged. This creates an incentive for GPs to exit investments quickly and to use subscription credit lines (which delay the clock on LP capital calls), potentially inflating reported IRR without creating proportional value for LPs.

Drawbacks of IRR

IRR is widely used but has several well-known limitations in PE contexts:

  1. Multiple Solutions: When cash flows change sign more than once, multiple mathematically valid IRRs may exist — though this is rare in practice for PE funds.
  2. Reinvestment Assumption: IRR implicitly assumes that interim distributions are reinvested at the same rate as the IRR. For a fund achieving 35% IRR, this means assuming LPs can redeploy distributions at 35% — unrealistic and overstating the economic value created.
  3. Time Manipulation via Subscription Lines: GP use of subscription lines of credit (borrowing against LP commitments to fund investments before calling capital) delays the start of the IRR clock. If a GP borrows from a credit line for 6 months before calling LP capital, the IRR calculation treats the capital as deployed later, mechanically inflating IRR.
  4. Size Blindness: A 50% IRR on a $1 million investment generates far less wealth than a 25% IRR on a $500 million investment. IRR says nothing about the magnitude of value created.
Subscription Lines of Credit: A fund borrows against LP commitments from a bank line, uses this borrowing to fund investments, and only calls LP capital later (sometimes 6–12 months later). This delays the IRR clock. A fund that calls capital 6 months late but has otherwise identical cash flows will report a materially higher IRR. Cambridge Associates and ILPA have developed methodologies to compute "adjusted IRR" that backs out the impact of subscription line usage, providing more comparable performance data. The ILPA published its Subscription Line of Credit and Alignment of Interests Considerations paper (2017) calling for greater disclosure.

4.2 Multiple of Invested Capital (MOIC / TVPI)

The Multiple of Invested Capital (MOIC), also called Total Value to Paid-In (TVPI), measures how many times the fund has returned (or is expected to return) the capital invested, regardless of how long it took:

\[ \text{MOIC (TVPI)} = \frac{\text{Cumulative Distributions} + \text{Residual NAV}}{\text{Paid-In Capital}} \]

Decomposing TVPI into its realized and unrealized components:

\[ \text{DPI (Distributions to Paid-In)} = \frac{\text{Cumulative Distributions}}{\text{Paid-In Capital}} \]\[ \text{RVPI (Residual Value to Paid-In)} = \frac{\text{NAV of Unrealized Portfolio}}{\text{Paid-In Capital}} \]

So that: \( \text{TVPI} = \text{DPI} + \text{RVPI} \)

DPI is the “cash-on-cash” return actually received by LPs — the realized portion. RVPI represents unrealized value still subject to exit risk. A fund reporting a high TVPI driven mostly by RVPI warrants greater scrutiny than one with high DPI, because unrealized marks can be inflated (the “zombie fund” problem).

Example: Interpreting Fund Performance Metrics
Fund A: Called \$100M. Distributed \$90M. NAV of remaining portfolio = \$100M. Age = 5 years.
DPI = 90/100 = 0.90x. RVPI = 100/100 = 1.00x. TVPI = 1.90x. IRR ≈ 14% (rough estimate).

Fund B: Called \$100M. Distributed \$220M. NAV of remaining portfolio = \$10M. Age = 8 years.
DPI = 220/100 = 2.20x. RVPI = 10/100 = 0.10x. TVPI = 2.30x. IRR ≈ 22%.

Fund A shows a higher TVPI if it can realize its NAV, but much of its "value" is still at risk. Fund B has delivered the majority of its value in cash. Most LPs prefer Fund B's profile: high DPI means fewer questions about valuation marks and greater certainty.

4.3 Public Market Equivalent (PME)

A fundamental problem with IRR and MOIC is that they do not tell you whether the PE fund outperformed the public markets. An LP might earn 15% IRR from a PE fund, but if the S&P 500 returned 18% over the same period, the PE fund destroyed value relative to a liquid alternative.

Public Market Equivalent (PME): A method to benchmark PE returns against a public market index, accounting for the timing and magnitude of cash flows. The Long-Nickels PME (1996) reinvests capital calls and distributions in a public index. If the PME ratio > 1.0, the PE fund outperformed the index; if < 1.0, it underperformed. The Kaplan-Schoar PME computes the ratio of the present value of distributions to the present value of contributions, discounted at the index return.
\[ \text{KS-PME} = \frac{\sum_t \frac{D_t}{(1+R_m)^t}}{\sum_t \frac{C_t}{(1+R_m)^t}} \]

where \( D_t \) are distributions at time \( t \), \( C_t \) are capital calls at time \( t \), and \( R_m \) is the return on the benchmark public index. A KS-PME of 1.2x means the fund generated 20% more value than would have been earned by investing in the public index with the same cash flow timing.

Kaplan and Schoar (2005) found that the average PE fund roughly matched public market returns net of fees in the 1980s and 1990s, but that top-quartile funds substantially outperformed — implying significant manager dispersion. More recent work by Harris, Jenkinson, and Kaplan (2014) found that buyout funds outperformed the S&P 500 by 20–27% over the fund’s life, while VC funds showed more variable results. Consistent with Gompers and Lerner (2004), performance was highly persistent for VC managers but less so for buyout managers.


Chapter 5: Leveraged Buyouts — Mechanics and Modeling

5.1 The LBO Framework

A Leveraged Buyout (LBO) is the acquisition of a company financed predominantly with debt, with the acquired company’s assets and cash flows serving as collateral and the source of debt repayment. The equity check from the PE fund typically represents only 25–40% of the total enterprise value; the remaining 60–75% is financed with various tranches of debt.

The key intuition is financial leverage: if the business earns a return on assets exceeding the after-tax cost of debt, the equity holders receive an amplified return. If EBIT (as a percentage of invested capital) exceeds the interest rate, leverage amplifies the equity return. Conversely, high leverage amplifies losses if business performance deteriorates — explaining why PE-backed companies are more prone to financial distress in downturns (Kaplan and Stein, 1993).

The perfect LBO candidate has several characteristics: (1) stable, predictable free cash flow to service debt; (2) strong competitive position (defensible moat, pricing power); (3) low capital expenditure relative to cash generation; (4) a clear value creation opportunity (underutilized management, sub-optimal capital structure, add-on acquisition pipeline); (5) a clear exit path (strategic buyer universe or public market appetite).

5.2 Sources and Uses at Closing

The LBO model begins with the Sources and Uses table, which ensures that the total financing assembled (sources) equals the total purchase price and transaction costs (uses):

SourcesAmount ($M)% of TotalUsesAmount ($M)
Senior Secured Term Loan B27054%Enterprise Value (Purchase Price)450
Revolving Credit Facility (undrawn)Transaction Fees (banking, legal)15
Second Lien Term Loan6012%Financing Fees (capitalized)10
Sponsor Equity11523%OID on Term Loans5
Management Rollover Equity306%Minimum Cash on Balance Sheet5
Total Sources475100%Total Uses485
The entry Purchase Price = Entry Multiple × LTM EBITDA. If the target has LTM (last-twelve-months) EBITDA of \$50M and the deal is priced at 9.0x EBITDA, the enterprise value is \$450M. The deal team must assess whether this entry multiple is justified by the business's quality, growth prospects, and the fund's ability to create value — paying too much is the single largest risk in an LBO.

5.3 Debt Structure in an LBO

LBO financing typically uses a capital structure waterfall, with senior, secured lenders at the top (lowest risk, lowest cost) and equity at the bottom (highest risk, highest return):

TrancheSecurityTypical Spread (over SOFR)AmortizationKey Features
Revolving Credit FacilityFirst Lien+175–275 bpsN/A (revolving)Working capital facility; typically undrawn at close; committed for 5 years
Term Loan AFirst Lien+175–275 bps5–10% per yearBank-held; amortizes meaningfully
Term Loan BFirst Lien+300–450 bps1% per yearInstitutional (CLOs, credit funds); minimal amortization; most common LBO tranche
Second LienSecond Lien+600–900 bpsBulletLower collateral priority than TLB; higher rate; often cov-lite
Mezzanine / Subordinated NotesUnsecured10–14% fixed (often PIK option)BulletBelow secured debt; PIK option defers cash interest; may have equity warrants
High Yield BondsUnsecuredFixed couponBulletPublicly registered or 144A; accessed for larger deals
Sponsor EquityResidualN/AN/ALast claim, first upside; target 20–30% IRR

SOFR (Secured Overnight Financing Rate) replaced LIBOR as the floating rate benchmark in 2023. TLBs typically have a SOFR floor (e.g., 0.50%) so that if SOFR falls below this level, the floor applies.

Total Leverage (Total Debt / EBITDA) in buyout transactions historically ranged from 4–6x for mid-market deals. In the 2019–2021 period of ultra-low interest rates, leverage for large-cap buyouts reached 7–8x. Following the 2022 rate increases, leverage levels compressed to 4–5x as debt service became more expensive.

5.4 Worked Numerical LBO Model

Transaction Assumptions

ParameterValue
LTM EBITDA$50M
Entry EV Multiple9.0x EBITDA
Enterprise Value (Purchase Price)$450M
Transaction Fees$15M
Senior Debt (Term Loan B)$270M (6.0x LTM EBITDA)
Equity (Sponsor + Mgmt rollover)$195M
Interest Rate on TLBSOFR (5.0%) + 3.5% = 8.5%
Annual TLB Amortization1% = $2.7M/year
Holding Period5 years
Exit Multiple9.0x (same as entry)

Operating Assumptions

Year0 (LTM)12345
Revenue$500M$525M$551M$579M$608M$638M
Revenue Growth5%5%5%5%5%
EBITDA$50M$54M$58M$63M$68M$73M
EBITDA Margin10.0%10.3%10.6%10.9%11.2%11.5%
D&A$10M$10M$10M$11M$11M$12M
EBIT$40M$44M$48M$52M$57M$61M
Interest Expense$23M$23M$22M$22M$22M
EBT$21M$25M$30M$35M$39M
Taxes (26%)$5M$7M$8M$9M$10M
Net Income$16M$18M$22M$26M$29M
Add: D&A$10M$10M$11M$11M$12M
Less: CapEx($8M)($8M)($9M)($9M)($10M)
Less: ΔWorking Capital($3M)($3M)($3M)($3M)($3M)
Less: Debt Amortization($3M)($3M)($3M)($3M)($3M)
Free Cash Flow to Equity$12M$14M$18M$22M$25M

Debt Paydown Schedule

EntryYear 1Year 2Year 3Year 4Year 5
Beginning Debt$270M$270M$267M$264M$261M$258M
Mandatory Amortization($3M)($3M)($3M)($3M)($3M)
Excess Cash Sweep($0M)($0M)($0M)($0M)($0M)
Ending Debt$270M$267M$264M$261M$258M$255M

Note: In a more aggressive model, FCF above minimum cash would be swept against debt; here we assume no excess cash sweep for simplicity.

Exit Analysis (End of Year 5)

\[ \text{Exit EBITDA} = \$73\text{M} \]\[ \text{Exit Enterprise Value} = \$73\text{M} \times 9.0\text{x} = \$657\text{M} \]\[ \text{Exit Equity Value} = \$657\text{M} - \$255\text{M (net debt)} = \$402\text{M} \]\[ \text{MOIC} = \frac{\$402\text{M}}{\$195\text{M}} = 2.06\text{x} \]\[ \text{IRR} \approx (2.06)^{1/5} - 1 \approx 15.6\% \]
Sensitivity Analysis: What Drives the IRR?
If we add EBITDA multiple expansion (exit at 10.0x instead of 9.0x):
Exit EV = \$73M × 10.0x = \$730M. Exit equity = \$730M − \$255M = \$475M.
MOIC = \$475M / \$195M = 2.44x. IRR ≈ 19.5%.

If EBITDA grows faster (6% per year instead of 5%) with same 9.0x exit:
Year 5 EBITDA ≈ \$50M × 1.06^5 = \$66.9M (recalculating from entry). Wait — entry EBITDA \$50M × 1.06^5 = \$66.9M... Exit EV = \$66.9M × 9.0x = \$602M. Exit equity = \$602M − \$255M = \$347M. MOIC = 1.78x. IRR ≈ 12.2%.

This illustrates that EBITDA improvement alone does not produce spectacular LBO returns; multiple expansion and aggressive debt paydown are critical value drivers alongside operational improvement.

5.5 Value Creation in PE: The Three Drivers

Kaplan and Strömberg (2009) decompose PE value creation into three components, broadly consistent with industry practice:

1. Financial Engineering: The use of leverage amplifies equity returns (as demonstrated above). Additionally, PE firms optimize the capital structure over time — refinancing debt at lower rates when credit markets improve, using dividend recapitalizations to return capital early (enhancing IRR), and accessing revolving credit facilities to manage working capital efficiently. Financial engineering also includes tax optimization (interest expense deductibility reduces the effective tax burden on the acquired business).

2. Governance and Operational Improvements: PE ownership typically results in: (a) a more streamlined and accountable board of directors; (b) stronger management incentive alignment through equity ownership (often 5–15% of the company); (c) performance monitoring against a rigorous 100-day plan and annual operating plan; (d) access to the PE firm’s operational resources (operating partners, portfolio company networks, procurement platforms). Studies show that PE-backed companies exhibit higher productivity growth and better working capital management relative to peers.

3. Strategic Repositioning and Multiple Expansion: PE firms sometimes reposition their portfolio companies — pivoting to higher-margin products, entering new markets, or professionalizing customer relationships — in ways that justify higher exit multiples. A company repositioned from a cyclical to a recurring revenue model might merit a re-rating from 6x to 9x EBITDA.

5.6 Add-On Acquisitions and the Buy-and-Build Strategy

A buy-and-build (or platform-and-add-on) strategy involves: (1) acquiring a platform company at a moderate multiple; (2) using the platform to acquire smaller companies (add-ons or bolt-ons) at lower multiples; (3) exiting the combined entity at a higher multiple that reflects the platform’s scale and diversification.

Example: Multiple Arbitrage in Buy-and-Build
MidCap Partners buys Acme Distribution at 7.0x EBITDA (\$70M EV on \$10M EBITDA). Over 4 years, Acme acquires three smaller regional distributors at an average of 4.5x EBITDA, each adding \$3M EBITDA at a cost of \$13.5M. Combined EBITDA = \$10M + 3×\$3M = \$19M. If the combined platform exits at 8.0x EBITDA (reflecting greater scale):
Exit EV = \$19M × 8.0x = \$152M. Invested: \$70M + \$40.5M (add-ons) = \$110.5M equity (simplified, ignoring debt).
MOIC = 1.37x — modest. But with leverage amplifying the equity return and integration synergies raising EBITDA above the simple sum, actual returns are materially higher.

Chapter 6: Venture Capital — Structure and Economics

6.1 The VC Investment Model

Venture capital funds invest in early-stage companies with unproven but potentially transformative business models. The VC model is predicated on the recognition that most portfolio companies will fail or return only modest capital, but a small number will achieve extraordinary success — returning 10×, 50×, or even 100× the invested capital.

This power-law distribution of returns is well-documented empirically. Cambridge Associates data shows that the top decile of VC investments frequently accounts for the majority of a fund’s total returns. Metrick and Yasuda (2021) provide a comprehensive analysis showing that in a typical VC fund, roughly 60% of investments return less than 1× invested capital, 20% return 1–3×, and the remaining 20% generate the vast majority of the fund’s gains.

The power-law structure has several implications for VC portfolio construction and management:

  • Portfolio Size: A VC portfolio should be large enough (typically 20–30+ companies per fund) to improve the probability of capturing at least one “home run” investment. If the probability of any given investment achieving 10× is 10%, a portfolio of 30 investments has approximately a 96% chance of capturing at least one 10× outcome.
  • Pro-Rata Rights: Term sheets typically grant investors the right to invest in future rounds to maintain their ownership percentage. This pro-rata right is critical to capturing the full return of a breakout company — without it, early investors get diluted in the rounds where valuation is highest.
  • Signaling: Which investors back a company and at what stage signals quality to subsequent investors. A16z, Sequoia, or Benchmark leading a Series A immediately increases the startup’s credibility for recruiting, customer acquisition, and subsequent fundraising.
  • Reserve Allocation: VC funds typically reserve capital (50–100% of initial invested capital) for follow-on investments in their best-performing portfolio companies. This reserve allocation is a strategic decision requiring judgment about which companies to double down on.

6.2 Stages of Venture Investment

StageDescriptionTypical Check SizeKey Investor Questions
Pre-SeedIdea stage; founding team; MVP not yet built$250K–$2MIs this a large market? Is the team exceptional?
SeedMVP built; initial user traction$1M–$5MProduct-market fit signals? Retention? Engagement?
Series ARepeatable growth mechanism; scaling$5M–$20MMoM growth rate; unit economics; LTV/CAC; team completeness
Series BScaling proven model; accelerating$20M–$75MRevenue growth rate; path to dominance; competitive dynamics
Series C+Late-stage; geographic expansion; pre-IPO$75M–$500M+Revenue run rate; profitability path; IPO readiness
Growth EquityNear-profitable or profitable; capital for scale$50M–$500M+Historical growth; margin trajectory; capital efficiency
Dilution at Each Round: Each successive financing round dilutes existing shareholders. A founder who owns 60% at founding may own 35% after Seed, 22% after Series A, 15% after Series B, and 10% after Series C. The VC method must account for expected dilution in calculating the required ownership at investment to achieve the target return.

6.3 The VC Method: Post-Money Valuation and Ownership

The VC Method (Sahlman, 1990) is the primary valuation framework used by early-stage investors. It begins from a target exit value and works backward to determine what ownership the investor needs today to achieve the target return:

Step 1: Estimate Exit Value

\[ \text{Exit Value} = \text{Exit Year Revenue (or EBITDA)} \times \text{Exit Multiple} \]

Step 2: Determine Required Return

Target MOIC for stage: For a Series A investment, a VC might target 10× over 5 years.

Step 3: Calculate Post-Money Valuation

\[ \text{Post-Money Valuation} = \frac{\text{Exit Value}}{\text{Target MOIC}} \]

Step 4: Determine Required Ownership

\[ \text{Required Ownership} = \frac{\text{Investment Amount}}{\text{Post-Money Valuation}} \]

Step 5: Adjust for Future Dilution

Because future financing rounds will dilute today’s investor, the required ownership must be grossed up:

\[ \text{Required Ownership (today)} = \frac{\text{Required Exit Ownership}}{(1 - \text{Expected Dilution per Round})^n} \]
Worked Example: The VC Method
NorthStar VC is evaluating a \$5M Series A investment in TechCo. The VC firm believes TechCo can reach \$50M in revenue in 5 years, and comparable public companies trade at 5× revenue. The firm's target return is 10× (for Series A-stage risk).

Step 1: Exit Value = \$50M × 5.0x = \$250M
Step 2: Required exit ownership = Investment × Target MOIC / Exit Value = \$5M × 10x / \$250M = 20%
Step 3: Expected future dilution = 20% per round × 2 future rounds → retention factor = (1 − 0.20)^2 = 0.64
Step 4: Required ownership at Series A = 20% / 0.64 = 31.25%
Step 5: Post-Money Valuation = \$5M / 31.25% = \$16M
Pre-Money Valuation = \$16M − \$5M = \$11M

NorthStar VC would offer to invest \$5M at an \$11M pre-money valuation, receiving approximately 31% of the company on a post-money basis. This dilution-adjusted calculation is the key distinction between the VC method and a simple DCF or comparables analysis.

6.4 The Option Pool Shuffle

The option pool shuffle is a common negotiating technique that affects the effective pre-money valuation founders receive. VCs often require that a stock option pool (typically 10–20% of post-money shares) be created before the investment closes, which dilutes existing shareholders (founders and prior investors) rather than being shared pro-rata with the new investor.

Example: Option Pool Shuffle Effect
NorthStar VC offers \$5M at \$11M pre-money valuation, but requires a 15% post-money option pool to be created as part of the pre-money shares.

Without Option Pool Shuffle:
Pre-money = \$11M. Founders own \$11M worth of shares. VC invests \$5M for 31.25% (post-money \$16M).

With Option Pool Shuffle:
VC says: post-money \$16M, option pool = 15% = 2.4M shares from pre-money bucket. So founders' effective pre-money = \$11M − \$16M × 15% = \$11M − \$2.4M = \$8.6M worth. Founders are diluted by the option pool before the deal closes, reducing their effective pre-money valuation from \$11M to \$8.6M. The VC's stated "\$11M pre-money" overstates what founders actually receive relative to a fully-diluted cap table calculation.

6.5 Convertible Notes and SAFEs

Early-stage investments before a priced round often use simpler instruments:

Convertible Note: A debt instrument that converts to equity at the next priced round (typically Series A). Key terms include: (a) principal and interest rate (often 5–8%, accruing but not paid in cash); (b) valuation cap — the maximum valuation at which the note converts, giving early investors a discounted conversion price if the next round values the company above the cap; (c) discount rate — a percentage (often 20%) below the price per share paid by new investors in the qualifying round; (d) maturity date — the date by which a conversion event must occur or the note is repaid.
SAFE (Simple Agreement for Future Equity): Created by Y Combinator (2013) as a simpler, non-debt alternative to convertible notes. A SAFE has no maturity date, no interest accrual, and no obligation to repay. It grants the right to receive equity in the next priced round, typically with a valuation cap and/or discount. Post-money SAFEs (the standard since 2018) specify the cap on a post-money basis, making dilution calculations more transparent.

The choice between convertible notes and SAFEs involves regulatory, tax, and negotiation considerations. SAFEs are simpler (no debt classification, no interest) and founder-friendly. Convertible notes may be preferred by investors in jurisdictions where debt instruments have more established legal precedent.


Chapter 7: Venture Capital Term Sheets and Deal Economics

7.1 Preferred Equity Structure

VC investments are almost universally structured as preferred equity, which gives investors certain rights and preferences not enjoyed by common shareholders (founders and employees). The preferred stock sits above common stock in the capital structure waterfall, providing downside protection in liquidation scenarios.

Liquidation Preference: In a liquidation event (sale, merger, or wind-down), preferred shareholders receive their invested capital back (often at 1×, but sometimes 1.5× or 2× for later-stage deals or distressed terms) before common shareholders receive anything. The liquidation preference is designed to protect investors in downside scenarios where the company sells for less than its last-round valuation.
Participating Preferred: After receiving their liquidation preference, participating preferred shareholders also receive their pro-rata share of any remaining proceeds (as if they had converted to common). This "double dip" can be significantly harmful to founders and employees in moderate-return scenarios.
Non-Participating Preferred: The investor receives either the liquidation preference or the proceeds from converting to common (whichever is greater), but not both. Non-participating preferred (also called "straight preferred") is the founder-friendly standard for top-tier VC deals; participating preferred is more common in later-stage, down-round, or bridge financings.
Example: Participating vs. Non-Participating Preferred
Investor A invested \$10M for 30% of Company (Series A preferred). Common shareholders hold 70%. Company sells for \$25M.

Non-Participating Preferred:
Investor receives max of: (a) \$10M preference, or (b) 30% × \$25M = \$7.5M. Chooses (a) = \$10M.
Remaining = \$25M − \$10M = \$15M → to common shareholders.
Investor total: \$10M; common total: \$15M.

Participating Preferred:
Investor receives \$10M preference + 30% × (\$25M − \$10M) = \$10M + \$4.5M = \$14.5M.
Common receives: 70% × (\$25M − \$10M) = \$10.5M.
Investor total: \$14.5M; common total: \$10.5M.

At \$25M exit, participating preferred takes \$4M more from common shareholders. For the investor to prefer converting to common, the exit value must exceed: Preference / ownership% = \$10M / 30% = \$33.3M. Below this threshold, the investor holds preferred; above it, they convert.

7.2 Anti-Dilution Provisions

Anti-dilution provisions protect preferred shareholders from dilution if a subsequent financing round (a “down round”) occurs at a lower price per share than the investor’s original purchase price.

Full Ratchet Anti-Dilution: The most aggressive form. If a down round occurs at any price, the investor's conversion price is adjusted down to the new round's price — regardless of how many shares are issued in the new round. This can be extremely punitive to founders: if the new round is tiny but at a lower price, existing preferred converts as if the entire company re-priced. Full ratchet is rare except in distressed bridge financings.
Weighted Average Anti-Dilution (Broad-Based): The most common and founder-friendly form of anti-dilution protection. The new conversion price is a weighted average of the original price and the new round price, weighted by the number of shares outstanding (broad-based) or the number of shares held by the investor (narrow-based). The broad-based formula is: \[ CP_{new} = CP_{old} \times \frac{A + B}{A + C} \]

where \( A \) = shares outstanding before the new issue (on a fully diluted basis), \( B \) = shares that could have been purchased at the old price with the new capital raised, and \( C \) = actual new shares issued.

Example: Weighted Average Anti-Dilution
Series A: Investor purchased 1,000,000 preferred shares at \$5.00 per share. Total shares outstanding: 4,000,000 (before Series A) + 1,000,000 = 5,000,000.
Series B (down round): Company raises \$2M at \$2.00 per share, issuing 1,000,000 new shares.

A = 5,000,000 (fully diluted shares before Series B)
B = \$2M / \$5.00 = 400,000 (shares if raised at old price)
C = 1,000,000 (shares actually issued)

\( CP_{new} = \$5.00 \times \frac{5,000,000 + 400,000}{5,000,000 + 1,000,000} = \$5.00 \times \frac{5,400,000}{6,000,000} = \$4.50 \)

The Series A investor's conversion price drops from \$5.00 to \$4.50, increasing the number of common shares they receive upon conversion (the same dollar value of preferred converts into more common shares). This partially protects them from the down round without the full severity of a full ratchet.

7.3 Governance and Control Provisions

Beyond economics, VC term sheets specify governance rights that shape the investor-founder relationship:

Board Composition: Typical Series A structure: 2 common seats (founders), 2 preferred seats (lead investor), 1 independent director (agreed upon jointly). As the company grows and more rounds occur, board composition becomes a key negotiating point. Control over the board means control over hiring/firing the CEO, approving budgets, and authorizing major transactions.

Protective Provisions: Investors require approval rights (usually a majority of preferred) for decisions including: (a) creating new classes of shares with equal or senior rights; (b) increasing or decreasing the authorized number of shares; (c) amending the charter or bylaws in ways that adversely affect preferred; (d) authorizing any sale, merger, or liquidation of the company; (e) incurring debt above a specified threshold; (f) paying dividends or repurchasing common shares.

Drag-Along Rights: If a majority of shareholders approve a sale, all other shareholders (including minority preferred and common holders) are required to consent. This prevents a small group of minority shareholders from blocking a sale approved by the majority — important for clean exits.

Right of First Refusal (ROFR) and Co-Sale Rights: If a founder attempts to sell shares to a third party, investors have the right to purchase the shares first (ROFR) or participate in the sale on the same terms (co-sale or “tag-along” rights). These provisions prevent founders from quietly selling their stake without giving investors the opportunity to participate or maintain their ownership.

Information Rights: Investors typically receive monthly and quarterly financial statements, an annual budget/business plan, and the right to inspect books and records. Major investors (lead investors above a threshold ownership) often receive board-level reporting.

Pay-to-Play Provisions: Require existing investors to participate in new financing rounds to maintain their preferred stock privileges. Investors who fail to exercise their pro-rata rights may be converted from preferred to common, losing protective provisions and liquidation preferences. Pay-to-play provisions prevent free-rider problems in down rounds.


Chapter 8: PE and VC Industry Structure and Dynamics

8.1 The LP-GP Relationship and Alignment

The fundamental challenge in private equity is the principal-agent problem: LPs (principals) delegate investment authority to GPs (agents) and cannot perfectly monitor or control GP behavior. The LPA’s economic and governance terms attempt to align GP incentives with LP interests, but imperfect alignment persists in several areas:

  • Fee extraction vs. performance: Management fees are paid regardless of performance, creating an incentive for GPs to raise larger funds (higher absolute management fee income) even if fund size exceeds the team’s ability to deploy capital efficiently.
  • Carry timing vs. LP wealth: As discussed, deal-by-deal carry can be extracted before the fund’s overall performance is known.
  • Subscription line inflation: Delays in capital calls mechanically improve reported IRR.
  • Zombie funds: Funds with poor performance near the end of their term may continue to charge management fees on remaining assets rather than winding down, as the GP has nothing to gain by liquidating investments at current values.

The ILPA (Institutional Limited Partners Association) has published detailed principles and fee reporting templates to improve transparency and alignment. Top-tier LPs negotiate harder terms (greater transparency, management fee offsets, LPAC rights, clawback escrow) as a condition of their commitments.

8.2 Dry Powder and Industry Cycles

Dry powder refers to the capital that has been committed to PE funds but not yet invested. As of 2023, global PE dry powder exceeded $3.7 trillion (Preqin data), representing a record level. High dry powder creates competitive pressure on deal valuations: more capital chasing a finite deal flow drives up entry multiples, compressing prospective returns.

PE activity is highly cyclical:

  • Credit market conditions determine leverage availability and cost — the two most important drivers of LBO economics
  • Public market valuations influence both exit opportunities (IPO windows) and entry multiples (strategic buyers compare to public comps)
  • Interest rates directly affect the cost of LBO debt — the 2022–2023 rate environment materially reduced LBO activity and compressed deal valuations
Vintage Year Effect: Funds raised and deployed in expensive credit/equity markets (2006–2007, 2019–2021) tend to underperform funds deployed in distressed or cheap markets (2009–2010, 2002–2003). This is one reason why vintage year diversification is important for LP portfolio construction. Kaplan and Schoar (2005) found that fund performance is positively correlated with the amount of capital raised in the fund's vintage year — suggesting that more capital chasing deals drives down returns.

8.3 Secondary Markets and GP-Led Transactions

The secondary market allows LP interests in PE funds to be bought and sold before the fund’s natural end date. The secondary market has grown dramatically: secondary transaction volume reached $114 billion in 2021 (Greenhill estimates) before declining in the 2022–2023 rate environment.

LP-led secondaries: LPs selling fund interests, typically at a discount to NAV (commonly 10–30% for stressed sellers). Secondary buyers (Ardian, Blackstone Strategic Partners, Lexington Partners, Hamilton Lane) acquire these interests, effectively providing liquidity to LPs who need it. Buyers benefit from: (a) truncated J-curve; (b) diversification across vintages, strategies, and geographies; (c) greater portfolio visibility (investments already made).

GP-led secondaries (Continuation Funds): A newer and faster-growing category in which the GP restructures a fund to move select high-quality assets into a new “continuation vehicle,” offering existing LPs the choice to sell (to secondary buyers) or roll into the new vehicle. GP-led secondaries allow GPs to hold high-performing assets beyond the fund’s contractual term. The structure creates potential conflicts of interest (the GP sets the price and is on both sides of the transaction), which is why LPAC consent and fairness opinions from independent advisors are standard.

8.4 Fund of Funds

A Fund of Funds (FoF) is a PE fund that invests in other PE funds rather than directly in companies. FoFs provide diversification across managers, geographies, vintage years, and strategies. They are particularly useful for smaller investors who lack:

  • The minimum commitment size required by top-tier PE funds ($25–100M minimum for large-cap buyout funds)
  • The due diligence resources to evaluate 20+ PE managers per year
  • The access and relationships that allow investment in oversubscribed funds

The cost of this intermediation is an additional layer of fees: the FoF charges its own management fee (typically 0.5–1.0% of commitments) and carry (5–10% of profits) on top of the underlying fund fees. For an LP already paying “2 and 20” to the underlying GPs, a FoF adds total fees approaching “2.5–3.0% and 25–30%” on an equivalent basis, which significantly erodes returns for average-performing managers.


Chapter 9: Growth Equity and Distressed Investing

9.1 Growth Equity

Growth equity occupies the space between venture capital (where risk is primarily about the business model working at all) and leveraged buyouts (where the business is mature enough to carry significant debt). Growth equity investors typically:

  • Take minority stakes (20–40%) in profitable or near-profitable companies
  • Write checks of $25M–$300M to fund expansion, international growth, or selective M&A
  • Apply little or no debt (the company is growing too fast to service meaningful leverage)
  • Target returns of 3–5× MOIC, higher than buyout but lower than VC

The ideal growth equity company: growing at 20–50% per year; EBITDA-positive or near breakeven; proven product and customer base; clear path to large-scale market leadership. Well-known growth equity firms include General Atlantic, Summit Partners, and TA Associates, and many traditional VC firms (Sequoia, Insight Partners) have growth-stage strategies.

Growth equity due diligence focuses heavily on unit economics — the revenue, gross margin, and contribution margin generated per customer (or per unit of output) — because the business model must be proven at the unit level to justify scaling:

Customer Acquisition Cost (CAC): The total cost to acquire one new customer (marketing, sales, onboarding). A business with \$100 CAC and \$500 LTV (lifetime value) has a 5× LTV/CAC ratio — generally considered healthy for a SaaS business. If CAC exceeds LTV, the business loses money on every customer and cannot scale profitably.
Lifetime Value (LTV): The projected total revenue (or gross profit) generated by a customer over the entire customer relationship. In a subscription business: LTV = (Average Monthly Revenue × Gross Margin) / Monthly Churn Rate. Improving LTV/CAC ratios (by reducing churn, increasing ARPU, or improving conversion rates) is a primary value creation lever in growth equity.

9.2 Distressed Investing

Distressed investing encompasses a range of strategies targeting companies or debt instruments experiencing financial stress. The primary strategies:

Distressed Debt: Purchasing debt (bank loans, bonds) of a distressed company at a deep discount to face value. If the company recovers or restructures, the investor earns returns on the basis of the recovery value relative to the discounted purchase price. Distressed debt investors may seek to become the “fulcrum security” — the tranche most likely to become equity in a restructuring.

Loan-to-Own: Buying distressed debt with the intent of converting it to equity through the restructuring process, effectively executing a takeover of the company through the bankruptcy process rather than paying a control premium in a normal acquisition.

Turnaround/Operational Distress: Acquiring equity in an operationally troubled company (not necessarily financially distressed) at a discounted price, with the plan to restructure operations and restore profitability.

The key analytical framework for distressed investing is the fulcrum security analysis: modeling the enterprise value of the distressed company across multiple recovery scenarios and identifying which tranche of debt sits at the fulcrum (i.e., is partially paid in a recovery scenario). The fulcrum security typically converts to equity in a Chapter 11 reorganization, making its holders the new owners of the reorganized company.


Chapter 10: Exit Strategies and PE Performance

10.1 Exit Strategy Overview

PE investments are illiquid by design, but the fund’s return depends entirely on exiting investments at a profit. The choice of exit channel affects both valuation and timing:

Exit ChannelTypical PremiumControl TransferKey Considerations
Strategic Sale (Trade Sale)HighestFullSynergies justify premiums; but regulatory approval may delay
Secondary Buyout (SBO)ModerateFullNew PE buyer needs fresh thesis; valuation limited by leverage
IPOVaries; lockup riskPartial (initially)Subject to market conditions; lockup 180 days typical
Dividend RecapitalizationN/A (partial exit)NoneReturns capital early, boosting IRR; leaves equity at risk
Management Buyout (MBO)LowerFullManagement-led; often requires seller financing or leverage

10.2 Strategic Sales (Trade Sales)

A strategic buyer (a corporation in the same or adjacent industry) can justify paying a synergy premium above what any financial buyer (PE fund) would pay, because:

  • Revenue synergies: The acquisition adds customers, products, or geographic reach that the strategic cannot build organically in the same timeframe.
  • Cost synergies: Combining operations eliminates overlapping functions (G&A, procurement, manufacturing).
  • Strategic value: The acquisition may block a competitor from making the same deal, providing option value beyond direct cash flows.

PE firms often run a dual-track process (simultaneously preparing for both an IPO and a strategic sale) to maximize competitive tension and valuation certainty. This process signals seriousness to strategic buyers and gives the seller a public market alternative.

10.3 Initial Public Offerings (IPOs)

An IPO involves listing the portfolio company’s shares on a public stock exchange, allowing the PE fund to sell shares to the public. The process involves:

  1. Selection of underwriters: Lead banks (bookrunners) manage the IPO process, set the price range, and allocate shares to institutional investors.
  2. S-1 registration statement (in the U.S.): Filed with the SEC; includes audited financials, risk factors, and use of proceeds.
  3. Roadshow: Management and bankers present to institutional investors over 2–3 weeks.
  4. Pricing and allocation: Book is “built” through investor orders; final price set based on demand.
  5. Lockup period: PE fund and management are typically restricted from selling shares for 180 days post-IPO, during which the market price may move materially.

IPOs are attractive when: public market valuations are high relative to PE exit multiples; the company has a compelling growth story that public investors will value; and the PE fund is willing to accept the timing and market risk of a lockup period.

10.4 Secondary Buyouts (SBOs)

A secondary buyout (SBO) occurs when a PE fund sells a portfolio company to another PE fund. SBOs have grown as the PE industry has matured — more capital, more funds, and a larger universe of portfolio companies means more natural PE-to-PE transactions.

The buyer must have a credible thesis for why additional PE ownership creates value. Common theses: (1) the platform is positioned for a buy-and-build strategy the prior owner could not execute; (2) the company needs international expansion capital; (3) operational improvements remain uncaptured; (4) the company is now large enough for a different LP base (a large-cap buyout fund buying from a mid-market fund).

Critics argue that SBOs represent financial engineering without true value creation — the seller has extracted value and the buyer is paying a full price for a company already optimized by PE ownership. Empirical evidence (Wang, 2012) suggests that SBOs underperform primary buyouts on average, though performance is highly deal-specific.

10.5 Dividend Recapitalizations

A dividend recapitalization (“dividend recap”) involves the PE fund having the portfolio company take on additional debt and using the proceeds to pay a cash dividend to equity holders (primarily the PE fund). This provides partial liquidity without a full exit.

Why use a dividend recap?

  • Returns capital early, improving the PE fund’s IRR (cash returned in year 3 vs. year 6 is worth far more in IRR terms)
  • Can be executed without depending on M&A or IPO market conditions
  • Useful when the company has deleveraged significantly and has capacity for additional debt

Risks of dividend recaps:

  • Increases financial risk by re-leveraging the portfolio company
  • Can impair the company’s ability to invest in growth if interest burden increases
  • Creates LP criticism if perceived as taking excessive risk to boost reported IRR at the expense of MOIC
Example: Dividend Recap IRR Impact
PE fund invested \$100M equity in Year 0. Without recap: exits in Year 5 for \$250M. MOIC = 2.50×; IRR ≈ 20.1%.

With recap: In Year 2, company takes on \$50M of incremental debt and pays \$50M dividend to the PE fund. At exit in Year 5, exit equity value = \$200M (same enterprise value, but \$50M more debt).
Cash flows: Year 0: −\$100M; Year 2: +\$50M; Year 5: +\$200M.
IRR with recap ≈ 22.5% (increased due to early return of capital), while MOIC = (\$50M + \$200M) / \$100M = 2.50× (unchanged).

The recap increases IRR without increasing MOIC, illustrating the divergence between these two metrics and why LPs monitor both.

Chapter 11: PE/VC Industry Networks and the Human Dimension

11.1 The Importance of Networks in Private Equity

Private equity is a relationship-driven industry at every level. Deal sourcing depends on banker and advisor networks. Talent acquisition depends on alumni and headhunter relationships. Co-investment and secondary opportunities flow through GP-LP relationships. LP commitments often follow personal trust built over years of co-investing and reporting transparency.

The academic literature on networks in venture capital (Hochberg, Ljungqvist, and Lu, 2007) found that VCs with more central network positions — those that co-invest with many other VCs — achieve significantly better fund performance. Networked VCs receive better deal flow, can more effectively syndicate investments in portfolio companies they want to support, and have reputational advantages that attract better founders.

11.2 The Heidi Roizen Case Study

The case of Heidi Roizen (entrepreneur, operating partner at Softbank Vision Fund, board director at multiple public and private companies) illustrates how a career built on reciprocal, authentic professional relationships enables access to deal flow and co-investment that would otherwise be inaccessible. Roizen, as documented in the Stanford Graduate School of Business case (Casciaro, Gino, Kouchaki, 2016), maintained an exceptionally large and loyal professional network by consistently being a resource for others — introducing people, providing references, sharing market intelligence — without expecting immediate reciprocation.

The Heidi Roizen case is used in AFM 377 to discuss:

  • The distinction between transactional networking (seeking what you can get) and relational networking (building genuine long-term relationships of mutual value)
  • How gender and power dynamics interact with networking — research shows that women are more likely to be penalized socially for instrumental networking than men, requiring different strategic approaches
  • The time management challenge of maintaining a large network while executing a demanding job — Roizen systematically scheduled time for network maintenance
  • The role of reputation and personal brand in the VC/PE ecosystem
Building a professional network before entering the PE or VC industry is not merely advantageous — it is structurally necessary. PE hiring is overwhelmingly through direct relationships and referrals, not public job postings. Industry events (SuperReturn International, EMPEA conference, ILPA Annual Meeting, Venture Forward), MBA alumni networks (Wharton, HBS, Booth, Ivey), and firm-sponsored LP advisory board meetings are primary relationship-building venues. Effective networking involves offering genuine value — insights, introductions, deal flow — rather than simply asking for favors.

11.3 Career Paths in Private Equity and Venture Capital

Entry PointTypical BackgroundPrimary RolePromotion Timeline
Pre-MBA Analyst (PE)2 years IB/consultingModeling, diligence, execution2–3 years → MBA or promoted
Pre-MBA Associate (VC)Engineering, product, consultingDeal sourcing, diligence, portfolio support2–3 years → MBA or VP
Post-MBA Associate (PE/VC)MBA + 2–4 years IB/consultingFull deal cycle, portfolio monitoring3–4 years → VP/Principal
Vice President / Principal4–7 years PE/VCLeading transactions, managing associates3–5 years → Partner track
Partner / Managing Director10+ yearsFundraising, IR, senior deal approvalPartnership; compensation via carry
Operating PartnerIndustry executivePortfolio company value creation; board rolesTypically functional, not investment track

Compensation in PE/VC is driven by carried interest at senior levels — the base salary and bonus for junior associates ($150–250K total at large funds) is far less significant than the carry received by partners (potentially $10M–$100M+ per fund per partner at top funds). This creates a long and uncertain path to meaningful compensation, which self-selects for individuals who are genuinely passionate about the work.


Chapter 12: Special Topics — Subscription Lines, PME, and Longer-Life Funds

12.1 Subscription Lines of Credit in Depth

Subscription lines of credit (also called capital call facilities or credit lines) allow a PE fund to borrow against LP commitments from a bank, fund investments immediately, and then call LP capital at a later date to repay the facility. They are used by the vast majority of PE funds today.

Legitimate uses of subscription lines:

  • Closing investments quickly without the 10-day lag of a capital call
  • Smoothing capital call timing to avoid calling $2M from each LP for a small bridge investment
  • Reducing the number of capital calls, reducing LP administrative burden
  • Managing currency risk between commitment date and deployment

Impact on performance metrics: When capital calls are delayed by 6–12 months, the IRR clock starts later. Consider a fund that makes a $100M investment, calls $80M from LPs immediately and $20M via the subscription line, then repays the subscription line 8 months later by calling LP capital. The IRR calculation treats the $20M as invested 8 months later, even though the portfolio company received it 8 months earlier. Cambridge Associates’ analysis has shown that subscription line use can inflate net IRR by 100–300 bps on average, with larger effects for shorter-duration funds.

LPs now increasingly request reporting on both gross-of-subscription-line and net-of-subscription-line IRR, as well as information on the outstanding balance and usage of credit facilities. The ILPA published Guidance on Subscription Lines of Credit (2017) recommending disclosure of: facility size, interest rate, maximum duration, and the impact on reported IRR if the facility were to be repaid.

12.2 Issues with Committed Capital as the Fee Basis

Management fees on committed (rather than invested) capital create a structural incentive for GPs to:

  1. Raise larger funds than optimal deal flow supports, since management fee income grows with fund size regardless of performance
  2. Deploy capital slowly during the investment period to collect fees before transitioning to the lower invested-capital fee basis
  3. Retain management fee income even as portfolio companies fail (the fee basis does not decline with realized losses)

Some LP reforms address this:

  • Fee on invested capital only: Management fees transition to invested capital at close of the investment period (common in buyout)
  • Fee holidays on successor fund-raising until the predecessor fund is substantially deployed
  • Clawback of management fees if carried interest is not ultimately earned (rare)
  • Lower fee rates for larger LP commitments (“most favored nation” clauses)

12.3 ESG and Impact Investing in Private Equity

Environmental, Social, and Governance (ESG) considerations have become an increasingly important part of the PE investment process. Drivers include:

  • LP pressure: Public pension funds in particular face political and regulatory requirements to consider ESG factors; endowments face student and alumni pressure
  • Regulatory environment: The EU SFDR (Sustainable Finance Disclosure Regulation) requires PE funds marketing in Europe to disclose ESG policies and fund classification (Article 6, 8, or 9)
  • Value creation: Well-managed ESG practices can reduce operating costs (energy efficiency), manage regulatory and reputational risk, and improve employee retention and productivity
  • Exit premium: Some strategic buyers pay premiums for companies with strong ESG profiles due to their own sustainability commitments

Impact investing goes further than ESG screening — explicitly targeting investments that generate measurable positive social or environmental outcomes alongside financial returns. Impact-focused PE firms include LeapFrog Investments, TPG Rise Fund, and Bain Capital Double Impact. Performance measurement in impact investing uses impact metrics (tonnes of CO2 avoided, people lifted out of poverty, patients treated) alongside financial metrics.


Chapter 13: Case Studies and Applied Topics

13.1 The Yale Investments Case

David Swensen’s approach at Yale, documented extensively in his book Pioneering Portfolio Management (2000), revolutionized institutional asset allocation by making the case for large illiquid alternatives allocations. Key principles:

  • Equity orientation: Favor equity-like returns (stocks, PE, venture) over debt-like returns. Equities generate real long-run growth; bonds do not.
  • Illiquidity premium: Only invest in illiquid assets when the illiquidity premium adequately compensates for the constraint. Yale has the perpetual horizon to capture this premium.
  • Manager selection: In inefficient markets (PE, VC), manager selection matters enormously — far more than asset allocation. Identify exceptional GPs and commit capital to them across multiple fund cycles.
  • Unconventional thinking: Ignore conventional asset allocation; ignore the crowd. The university’s competitive advantage is the ability to hold illiquid assets that others cannot.

The Yale Model has been criticized for survivorship bias (Yale’s access to top funds like Sequoia and Andreessen Horowitz is not replicable by smaller endowments), fee load (large allocations to alternatives mean large fee payments), and the risk of underperformance when top funds close to new investors.

13.2 CD&R (Clayton, Dubilier & Rice)

CD&R is a PE firm known for its operating partner model — recruiting former CEOs and senior executives to work alongside the investment team on deal sourcing, due diligence, and post-acquisition value creation. Rather than relying primarily on financial engineering, CD&R emphasizes genuine operational improvement driven by experienced executives who have “been in the chair” before.

The Hertz case (Hertz was taken private by Ford Motor in 2005 then sold to CD&R among others) illustrates how PE ownership can transform a mature, large-scale service business: cost rationalization, fleet optimization, pricing improvement, and eventual IPO provided a multi-billion-dollar return over a 5-year period. The case also illustrates the risks of high leverage in cyclical businesses — Hertz’s exposure to travel demand meant the COVID-19 pandemic’s impact on travel was devastating, ultimately leading to a second bankruptcy in 2020.

13.3 The Panera Bread LBO

The Panera Bread LBO (2017, by JAB Holding Company) provides a rich case study in: (1) how a high-quality branded restaurant business can support LBO financing; (2) the role of management continuity in value creation; (3) the tension between short-term debt service and long-term investment in brand, technology, and real estate. Panera invested heavily in technology (mobile ordering, loyalty program) during its PE ownership — an example of a PE owner willing to sacrifice short-term cash generation for long-term competitive positioning, which is sometimes cited as evidence against the “financial engineering only” critique of PE.

13.4 Blackstone Strategic Partners (Secondaries Case)

Blackstone Strategic Partners is one of the world’s largest secondary buyers of PE fund interests and direct stakes. The secondary buying process involves:

  1. Sourcing: Receiving offerings from LPs seeking liquidity; running proprietary processes with GPs for GP-led transactions
  2. NAV Estimation: Independently estimating the current fair value of each underlying portfolio company using discounted cash flow and comparable company methodologies
  3. Pricing: Applying a discount to estimated NAV to account for uncertainty, illiquidity, and required return. Discounts have ranged from 5–30% historically
  4. Portfolio Construction: Building a diversified portfolio of secondary positions across vintages, strategies, and geographies

Secondary funds offer LPs a more predictable J-curve (shorter or eliminated) because the underlying investments already have some history, and a faster DPI generation because investments are closer to exit.


Chapter 14: Comprehensive LBO Model — Full Build

14.1 Building the LBO Model Step by Step

A fully integrated LBO model has five sections: (1) Transaction Structure (Sources and Uses); (2) Operating Model; (3) Debt Schedule; (4) Returns Analysis; (5) Sensitivity Analysis.

Step 1: Transaction Structure

Determine the purchase price (Entry Multiple × LTM EBITDA), financing structure (debt tranches, equity), and transaction costs. This is the Sources and Uses table (detailed in Chapter 5).

Step 2: Operating Model

Project revenue, EBITDA, and free cash flow over the holding period (typically 5 years):

  • Revenue: Base case growth assumption (market growth + market share) and downside/upside cases
  • EBITDA margin: Reflect operational improvement thesis — cost reductions, mix shift, pricing power
  • CapEx: Maintenance CapEx (required) and growth CapEx (discretionary); net FCF = EBITDA − Taxes − ΔWC − CapEx − Debt Service

Step 3: Debt Schedule

For each tranche of debt:

  • Beginning balance: Prior year ending balance
  • Interest expense: Beginning balance × interest rate (cash pay)
  • Mandatory amortization: As per the credit agreement (e.g., 1% per year for TLB)
  • Optional prepayments (cash sweep): If FCF after mandatory service exceeds minimum cash, the excess is swept to prepay the most expensive debt first (typically second lien before first lien)
  • Ending balance: Beginning balance − mandatory amortization − optional prepayment

Step 4: Returns Analysis

At the assumed exit year and exit multiple:

  • Exit Enterprise Value = Exit EBITDA × Exit Multiple
  • Exit Equity Value = Exit EV − Net Debt at Exit (net debt = total debt − cash)
  • Total Equity at Exit = Sponsor equity + management rollover + accumulated dividends (if any)
  • Sponsor equity return = Exit equity allocable to sponsor (based on ownership %)
  • MOIC = Total equity proceeds / invested equity; IRR = solve for discount rate

Step 5: Sensitivity Analysis

Run the model across a matrix of: entry multiple × exit multiple (typically 3×3 or 5×5 grid); revenue growth rate; EBITDA margin improvement; exit year (4, 5, 6 years). This produces an IRR matrix and MOIC matrix that shows the range of outcomes under different assumptions — critical for investment committee presentation.

IRR Sensitivity Matrix — Exit Multiple vs. EBITDA Margin Expansion
(Entry at 9.0× EBITDA, 5-year hold, 5.5× leverage, base case revenue growth 5% per year)

Exit Multiple \ Margin Expansion−100 bpsFlat+100 bps+200 bps
7.0×5.1%7.3%9.5%11.8%
8.0×8.4%10.7%12.9%15.2%
9.0×11.6%13.9%16.2%18.5%
10.0×14.7%17.1%19.4%21.7%
11.0×17.6%20.0%22.4%24.7%

The sensitivity table shows that achieving the target 20%+ IRR requires either multiple expansion to 10.0× or EBITDA margin expansion of +200 bps (or some combination). This frames the risk in the deal: what must go right for investors to achieve their target return?


Chapter 15: Key Formulas and Concept Summary

15.1 Core Formulas

IRR (Internal Rate of Return):

\[ \sum_{t=0}^{n} \frac{CF_t}{(1+\text{IRR})^t} = 0 \]

MOIC (Multiple of Invested Capital):

\[ \text{MOIC} = \frac{\text{Cumulative Distributions} + \text{Residual NAV}}{\text{Paid-In Capital}} \]

TVPI, DPI, RVPI:

\[ \text{TVPI} = \text{DPI} + \text{RVPI} = \frac{D + \text{NAV}}{C} \]

Kaplan-Schoar PME:

\[ \text{KS-PME} = \frac{\sum_t D_t / (1+R_m)^t}{\sum_t C_t / (1+R_m)^t} \]

VC Method Post-Money Valuation:

\[ V_{post} = \frac{\text{Exit Value}}{\text{Target MOIC}} \]\[ \text{Required Ownership} = \frac{\text{Investment}}{V_{post}} \div (1-\text{dilution})^n \]

Weighted Average Anti-Dilution:

\[ CP_{new} = CP_{old} \times \frac{A + B}{A + C} \]

where \( A \) = pre-round fully diluted shares, \( B \) = hypothetical new shares at old price, \( C \) = actual new shares issued.

Enterprise Value:

\[ \text{EV} = \text{Equity Market Cap} + \text{Net Debt} + \text{Preferred Stock} + \text{Minority Interest} - \text{Cash} \]

LBO Exit Equity Value:

\[ \text{Exit Equity} = (\text{Exit EBITDA} \times \text{Exit Multiple}) - \text{Net Debt at Exit} \]

Simplified IRR from MOIC and holding period (no interim cash flows):

\[ \text{IRR} = \text{MOIC}^{1/n} - 1 \]

15.2 Key Conceptual Distinctions

ConceptDescription
Management Fee vs. CarryFee: paid regardless of performance. Carry: profit share above hurdle — the alignment mechanism.
American vs. European WaterfallAmerican: deal-by-deal carry distribution. European: whole-fund carry (LP-friendly).
Participating vs. Non-Participating PreferredParticipating: double-dip on liquidation proceeds. Non-participating: preference OR conversion, not both.
Full Ratchet vs. Weighted Average Anti-DilutionFull ratchet: harshest; conversion price drops to new round price. Weighted average: moderated adjustment based on shares issued.
IRR vs. MOICIRR: time-sensitive, can be inflated by subscription lines. MOIC: time-insensitive, measures dollar wealth creation. Use both.
DPI vs. TVPIDPI: realized; certain. TVPI: includes unrealized NAV; subject to mark-to-market risk.
LBO vs. VCLBO: mature companies, high debt, returns from FCF + multiple expansion. VC: early-stage, minimal debt, returns from power-law winners.
Pro-Rata RightsRight to invest in future rounds to maintain ownership percentage; critical in VC for capturing follow-on upside.
Option Pool ShuffleCreating option pool pre-money effectively reduces founder’s economic pre-money valuation.
ClawbackGP must return carry already received if overall fund underperforms the hurdle rate.

15.3 Glossary of Key Terms

Carried Interest (Carry): The GP's share of fund profits above the hurdle rate; typically 20%.
Capital Call (Drawdown): A request by the GP for LPs to contribute a portion of their committed capital to fund an investment.
Committed Capital: The total amount an LP has legally obligated to contribute to the fund over its life; distinct from paid-in capital (the amount actually transferred).
Debt Service Coverage Ratio (DSCR): EBITDA divided by required debt service (interest + amortization); a key covenant in LBO credit agreements. Typically must exceed 1.1–1.5× for covenant compliance.
Enterprise Value (EV): The total value of a business, including both equity and debt, net of cash. EV = Equity Value + Net Debt + Preferred + Minority Interest.
EBITDA: Earnings Before Interest, Taxes, Depreciation, and Amortization. The standard proxy for operating cash flow in PE valuation and leverage analysis.
Free Cash Flow (FCF): Cash generated by the business available for debt service, dividends, or reinvestment. FCF = EBITDA − Taxes − Capital Expenditures − Change in Working Capital.
GP Commit: The general partner's own capital contribution to the fund (typically 1–2% of fund size), demonstrating skin-in-the-game alignment with LPs.
Hurdle Rate (Preferred Return): The minimum annualized return LPs must receive before the GP earns carry; standard is 8% IRR.
Key-Person Clause: An LPA provision that halts new investments or triggers a wind-down if one or more named investment professionals leave the GP.
LBO (Leveraged Buyout): Acquisition financed predominantly with debt, secured against the target's assets and cash flows.
Limited Partnership Agreement (LPA): The governing legal document of a PE fund, specifying terms, economics, and governance.
LPAC (LP Advisory Committee): A committee of major LPs that provides oversight and approves conflict-of-interest transactions.
NAV (Net Asset Value): The fair value of a fund's unrealized portfolio at a given point in time; used in RVPI and TVPI calculations.
PIK (Payment-in-Kind): An interest payment mechanism where interest accrues and is added to principal rather than paid in cash; common in mezzanine and bridge financing.
Pro-Rata Right: The right of an existing investor to participate in future financing rounds to maintain their ownership percentage.
SAFE (Simple Agreement for Future Equity): A convertible equity instrument commonly used in seed-stage VC; converts to equity at the next priced round with a valuation cap and/or discount.
Term Sheet: A non-binding document outlining the key terms of a proposed investment; negotiated before a definitive investment agreement.
Total Leverage: Total debt divided by EBITDA; the primary measure of financial risk in an LBO. Typical range: 4–7× in buyout transactions.
Vintage Year: The year in which a PE fund makes its first investment (or, alternatively, the year the fund was raised); used to compare fund performance across the cycle.
Waterfall: The contractual order in which distributions from a PE fund are allocated among LPs and the GP; determines when and how carried interest is paid.

Chapter 16: Cap Table Construction and Multi-Round Dilution

16.1 What Is a Cap Table?

A capitalization table (cap table) is a spreadsheet or database that records the equity ownership structure of a company. It lists every class of securities outstanding (common stock, preferred stock, options, warrants, convertible notes), the number of shares in each class, the holder of each block, and the resulting ownership percentages on a fully diluted basis.

Cap tables are living documents that change with every financing event, option grant, share repurchase, or transfer. Investors, founders, and attorneys rely on the cap table to calculate:

  • Ownership percentages at a given point in time
  • The economic impact of a new financing round (dilution)
  • Liquidation waterfall proceeds in a sale or wind-down
  • The number of new shares to issue in a rights offering
Fully Diluted vs. Basic Shares: Basic shares outstanding include only currently issued and outstanding common and preferred shares. Fully diluted shares include all shares that would be outstanding if every option, warrant, and convertible instrument were exercised or converted. VC ownership percentages are almost always expressed on a fully diluted basis because options and warrants represent real economic claims that dilute existing shareholders.

16.2 Worked Cap Table: Founding Through Series B

The following example traces a startup’s equity structure from founding through three financing rounds, computing ownership percentages and valuation at each stage.

Stage 0 — Founding

Two co-founders, Alice (CEO) and Bob (CTO), incorporate the company and issue shares to themselves:

HolderSharesOwnership %
Alice (CEO)5,000,00050.0%
Bob (CTO)5,000,00050.0%
Total10,000,000100.0%

No external financing; no option pool. Pre-money valuation = nominal (par value only). Post-money = same.

Stage 1 — Seed Round

A seed investor (Angel Group) invests $1,000,000 at a $4,000,000 pre-money valuation. The company also creates a 10% employee option pool (on a post-money basis) before the round closes (the option pool shuffle).

Option pool size on post-money basis: The post-money target is $4M (pre) + $1M (new) = $5M. A 10% post-money pool means 10% of all post-money shares must be in the pool.

Let total post-money shares = S. Then:

  • Option pool = 0.10 × S
  • Investor shares = $1M / ($5M / S) = 0.20 × S
  • Founder shares = 10,000,000 (unchanged)

10,000,000 + 0.10S + 0.20S = S → 10,000,000 = 0.70S → S = 14,285,714

ComponentSharesOwnership %
Alice (CEO)5,000,00035.0%
Bob (CTO)5,000,00035.0%
Angel Group (Seed Preferred)2,857,14320.0%
Option Pool (unissued)1,428,57110.0%
Total (Fully Diluted)14,285,714100.0%

Price per share (Seed) = $1,000,000 / 2,857,143 = $0.35/share
Post-money valuation = 14,285,714 × $0.35 = $5,000,000
Pre-money valuation for founders (effective) = $5M × (10M / 14.29M) = $3.50M (not $4M stated, because founders absorb the option pool)

This illustrates the option pool shuffle precisely: the stated pre-money of \$4M overstates the founders' effective pre-money by the value of the option pool that founders are required to create before the investor's money arrives. The investor's \$1M buys 20% without absorbing any option pool dilution.

Stage 2 — Series A

The company has grown and raises $5,000,000 from NorthStar VC at a $15,000,000 pre-money valuation. NorthStar requires a fresh 10% post-money option pool (top-up from the existing pool). Assume 500,000 options from Stage 1 have been granted; 928,571 remain unissued. The company will top up the pool to equal 10% of post-money shares.

Let new total shares = T (post-Series A, fully diluted). NorthStar’s price:

Series A price = Pre-money / pre-round fully diluted shares = $15,000,000 / 14,285,714 = $1.05/share
New shares issued to NorthStar = $5,000,000 / $1.05 = 4,761,905 shares
Post-money = $15M + $5M = $20,000,000

Option pool top-up: Post-money = T shares; 10% pool means 0.10 × T in pool.
Existing granted options = 500,000. Existing unissued = 928,571. Need pool = 0.10T. Must issue additional = 0.10T − 928,571 new unissued options (diluting pre-money holders).

T = 14,285,714 + 4,761,905 + additional options
0.10T = 928,571 + additional options → additional options = 0.10T − 928,571
T = 14,285,714 + 4,761,905 + 0.10T − 928,571
0.90T = 18,118,048 → T = 20,131,165

Additional options created = 0.10 × 20,131,165 − 928,571 = 2,013,117 − 928,571 = 1,084,546

HolderSharesOwnership %
Alice (CEO)5,000,00024.8%
Bob (CTO)5,000,00024.8%
Angel Group (Seed Preferred)2,857,14314.2%
NorthStar VC (Series A Preferred)4,761,90523.7%
Options — Granted500,0002.5%
Options — Unissued Pool2,013,11710.0%
Total (Fully Diluted)20,131,165100.0%

Series A Price per share = $20,000,000 / 20,131,165 = $0.993/share (≈ $1.05 on pre-round base, slight difference due to option pool top-up dilution)

Stage 3 — Series B

The company raises $20,000,000 from Summit Capital at a $60,000,000 pre-money valuation. No new option pool top-up required (existing pool sufficient).

Series B price = $60,000,000 / 20,131,165 = $2.98/share
New shares = $20,000,000 / $2.98 = 6,711,409 shares
Post-money = $60M + $20M = $80,000,000

HolderSharesOwnership %
Alice (CEO)5,000,00018.8%
Bob (CTO)5,000,00018.8%
Angel Group (Seed Preferred)2,857,14310.7%
NorthStar VC (Series A Preferred)4,761,90517.9%
Summit Capital (Series B Preferred)6,711,40925.2%
Options — Granted500,0001.9%
Options — Unissued Pool2,013,1177.6%
Total (Fully Diluted)26,842,574100.1%*

*Rounding.

16.3 Liquidation Waterfall at Exit — Full Worked Example

The company receives an acquisition offer of $80,000,000 (equal to the post-money Series B valuation). How are proceeds distributed?

Preferred stock terms (all series: 1× non-participating liquidation preference):

  • Angel Group (Seed): $1,000,000 preference
  • NorthStar VC (Series A): $5,000,000 preference
  • Summit Capital (Series B): $20,000,000 preference

Step 1 — Check whether each class converts or takes preference:

Conversion test: Convert if equity proceeds from conversion > liquidation preference.

Summit Capital (Series B): 25.2% × $80M = $20.16M > $20M preference → converts to common.
NorthStar VC (Series A): 17.9% × $80M = $14.32M > $5M preference → converts to common.
Angel Group (Seed): 10.7% × $80M = $8.56M > $1M preference → converts to common.

All preferred converts to common. Proceeds distributed pro-rata to all shareholders:

Holder% OwnershipProceeds ($M)
Alice18.8%$15.04M
Bob18.8%$15.04M
Angel Group10.7%$8.56M
NorthStar VC17.9%$14.32M
Summit Capital25.2%$20.16M
Option Holders (granted, if exercised)1.9%$1.52M
Option Pool (unissued — not distributed)7.6%
Total101.3%*$74.64M

*The unissued option pool (7.6%) is not exercised and those shares are not outstanding; proceeds attributable to them are redistributed pro-rata to all outstanding shares. In practice, the unissued pool is simply excluded from the distribution calculation.

What if the company sells for only \$25,000,000 (a distressed sale)?

Preferences total = \$1M + \$5M + \$20M = \$26M. Sale price \$25M < total preferences. Apply seniority.

Series B (most senior, typically): receives \$20M first (full preference).
Remaining = \$25M − \$20M = \$5M.
Series A receives \$5M (full preference). Remaining = \$0.
Seed and common receive \$0.

This is the core protection of preferred equity: in a bad outcome, senior preferred shareholders recover their capital while founders and common shareholders receive nothing. This distribution is known as the liquidation waterfall, and the result here illustrates why founders should be skeptical of high preference stacking in later rounds.

Chapter 17: Portfolio Construction and Monitoring

17.1 PE Portfolio Construction from the LP’s Perspective

Building a PE portfolio is a multi-year exercise that requires planning across several dimensions simultaneously:

Asset Class Mix: LPs must decide how much to allocate to buyout versus venture capital versus growth equity versus private credit. Each sub-strategy has different risk/return profiles, vintage year sensitivity, and liquidity timing. A large pension fund might allocate 60% to buyout (stable cash flows, shorter J-curve), 25% to venture (higher variance, longer hold), and 15% to growth equity (intermediate).

Geographic Diversification: North America has historically dominated PE returns, but European and Asia-Pacific markets offer diversification. European buyout has produced competitive returns with lower leverage (reflecting covenant-light debt markets being less developed). Emerging market PE offers high growth potential but introduces political, currency, and governance risk.

Manager Diversification vs. Concentration: Top-quartile PE managers outperform dramatically and have persistent performance (especially in VC). LPs face a tradeoff: diversifying across 20+ managers reduces concentration risk but dilutes access to the best funds. High-performing funds (Sequoia Capital, Vista Equity Partners, Thoma Bravo) are often oversubscribed and ration access. A more concentrated LP portfolio with fewer, higher-conviction relationships often outperforms a broad, diversified portfolio — provided those relationships are with top-tier managers.

Commitment Pacing Model: A quantitative framework LPs use to determine how much to commit each year to maintain a target PE allocation. The model projects future capital calls (based on fund deployment assumptions) and distributions (based on expected exit timing), and computes the commitment level needed to keep the PE allocation steady as a percentage of total assets. Without pacing discipline, LPs can inadvertently become over- or under-allocated as markets move.

17.2 The Denominator Effect

The denominator effect occurs during public market downturns: the denominator of the PE allocation ratio (total portfolio value) falls rapidly as public equities decline, while PE NAVs (marked quarterly or less frequently) fall more slowly due to appraisal smoothing. This mechanically pushes the PE percentage of total assets above target, creating pressure on LPs to reduce PE commitments at exactly the wrong time (when entry valuations may be most attractive).

Example: Denominator Effect During a Market Correction
LP total portfolio = \$10 billion. PE allocation = \$1.5 billion (15% target). Public equities fall 30%, reducing total portfolio to \$8 billion. PE NAV declines only 10% to \$1.35 billion (due to slower mark-downs). PE allocation = \$1.35B / \$8B = 16.9% — above the 15% target. LP may be forced to slow new PE commitments or attempt to sell PE interests on the secondary market (at a discount) to rebalance. Paradoxically, this forced selling occurs when PE opportunities may be most attractive.

17.3 Portfolio Company Monitoring

Once a PE fund has invested in a portfolio company, the GP must actively monitor and support that investment throughout the holding period. Portfolio monitoring encompasses:

Financial Monitoring: Monthly financial packages (P&L, balance sheet, cash flow statement, covenant compliance certificates) are reviewed by the deal team. Actual performance is compared to the annual operating plan (AOP) and to the investment thesis assumptions from the original investment memorandum. Variance analysis identifies where the business is outperforming or underperforming, and triggers engagement with management.

Board Oversight: PE-backed companies have active, engaged boards that meet quarterly (or more frequently in distress). The board’s primary responsibilities include: hiring and firing the CEO; approving the annual budget; authorizing major capital allocation decisions (M&A, CapEx above threshold, debt issuance); and overseeing management compensation. PE board members bring deal expertise and operational experience to the governance function.

100-Day Plan: Immediately post-acquisition, the PE firm and management team execute a structured “100-day plan” — a detailed operational improvement agenda developed during due diligence and refined in the first month of ownership. Common 100-day initiatives include: leadership assessment and upgrades; financial reporting system improvements; cost structure optimization; customer and supplier contract renegotiation; and identification of quick-win revenue opportunities.

Value Creation Tracking: PE firms track “value creation” through a structured framework that decomposes the change in equity value into its drivers: EBITDA growth, multiple expansion, debt paydown, and dividends received. This attribution analysis is shared with LPs in annual reports and informs the investment team’s view of remaining upside and optimal exit timing.

Value Bridge (Waterfall Attribution): A chart or table decomposing the change in equity value from entry to exit into: (1) EBITDA growth contribution; (2) multiple expansion (or compression) contribution; (3) leverage reduction contribution; (4) dividend/recap proceeds. This attribution allows GPs to demonstrate to LPs how value was created and which lever drove the return — management wants credit for operational improvements; LPs want to distinguish financial engineering from fundamental value creation.

17.4 Managing Underperforming Portfolio Companies

Not all PE investments proceed as planned. A PE fund with 15 investments should expect 2–4 significant underperformers and potentially 1–2 complete write-offs. Active management of underperformers is critical to limiting losses.

Early Warning Signals: Covenant breaches, working capital deterioration, customer churn above plan, key management departures, and competitive pricing pressure are all early warning indicators that a portfolio company is at risk. PE deal teams conduct quarterly deep dives on any company performing more than 20% below plan.

Remediation Options: When a portfolio company underperforms, the PE firm’s options include: (1) management replacement; (2) financial restructuring (covenant waivers, debt-for-equity swap with lenders); (3) strategic alternatives (bolt-on acquisition to add revenue, or sale of a division to raise cash); (4) full sale process (even at a loss) to return remaining capital; (5) in extremis, allowing the company to pursue a Chapter 11 bankruptcy reorganization.

The “Extend and Pretend” Risk: At the end of a fund’s life, GPs face pressure to avoid realizing losses (which would reduce carried interest) by extending fund term rather than accepting a below-cost exit. This creates the “zombie fund” problem: a fund near the end of its contractual term with remaining poor-quality assets that the GP has no economic incentive to sell. LPs must monitor fund term extensions carefully and insist on LPAC approval of any extension beyond the first one-year extension provided in the LPA.


Chapter 18: Fundraising Process and LP Due Diligence

18.1 The GP Fundraising Process

Raising a new PE fund is itself a capital markets transaction requiring marketing, due diligence, and negotiation. A typical large buyout fund raise takes 12–18 months and follows a structured process:

Phase 1 — Preparation (months 1–3): The GP prepares marketing materials including the Private Placement Memorandum (PPM), a detailed legal disclosure document describing the fund’s strategy, team, track record, and terms. A shorter, more visually engaging “pitch book” or investor presentation accompanies the PPM. The GP also engages a placement agent (an intermediary who facilitates LP introductions for a fee — typically 1–2% of capital raised from their introductions) or conducts the fundraise independently.

Phase 2 — First Close (months 4–9): The GP begins formal LP meetings. First close occurs when enough commitments have been received to begin deploying capital — typically 30–50% of the target fund size. Management fees begin accruing and investing can start at first close. First-close LPs sometimes receive a discount on management fees or other economic incentives for committing early.

Phase 3 — Final Close (months 10–18): The fund closes to new investors at the final close date. Late-closing LPs pay a “catch-up” fee (interest from the first close date to their close date) to compensate early LPs for bearing the risk of deploying capital before the fund was fully committed.

Hard Cap vs. Target Size: GPs typically announce a target fund size and a hard cap (maximum). A GP targeting a \$2 billion fund might set a \$2.5 billion hard cap. Raising above the target but below the hard cap signals strong LP demand and allows the GP to build a larger fee base. Raising a fund significantly larger than the prior fund raises due diligence questions: can the same team deploy twice as much capital effectively? Fund performance often deteriorates with fund size (Kaplan and Schoar, 2005) because the marginal investment opportunity that absorbs the incremental capital is generally lower quality.

18.2 LP Due Diligence on a GP

Before committing capital, LPs perform their own due diligence on the GP. Institutional LPs typically conduct multi-month reviews covering:

Track Record Analysis: Detailed review of every prior investment across all prior funds: entry date, entry multiple, current value or exit value, attribution of returns (operations vs. financial engineering vs. multiple expansion), and comparison to public market benchmarks (PME). LPs seek to distinguish genuine alpha from beta (leverage-amplified market returns).

Team Assessment: Deep evaluation of the investment team’s stability, experience, and cohesion. Key questions: Is the carry distributed fairly among the team, or concentrated with founders in ways that create retention risk? Has there been turnover among senior investment professionals? How does the team make decisions — consensus or top-down? Has the team invested together across multiple fund cycles?

Investment Process Review: LPs interview team members, review investment committee materials, and assess the rigor of the IC process. They look for evidence of intellectual humility and disciplined portfolio construction — not just deal-by-deal excitement.

Reference Checks: LPs speak with management teams of portfolio companies (both successful and unsuccessful investments), banks and intermediaries who have worked with the GP, and other LPs in prior funds. Management team reference checks reveal how the GP behaves post-close — whether they are collaborative partners or extractive controllers.

Terms Negotiation: Large LPs (anchor investors, LPs committing $50M+ to a new manager) have significant negotiating power over fund terms. They may negotiate: lower management fees, fee offsets on portfolio company monitoring fees, LPAC seats, co-investment rights (the right to invest alongside the fund in specific deals at zero fee/carry), and most favored nation (MFN) clauses entitling them to the best terms offered to any LP.

18.3 Co-Investment

A co-investment is a direct equity investment made by an LP alongside the fund in a specific portfolio company, typically at zero (or reduced) fees and carry. Co-investment is increasingly valued by LPs as a way to:

  • Increase exposure to high-conviction investments without paying full fund fees
  • Build internal PE investment capabilities (direct investing team)
  • Improve overall portfolio returns by reducing the fee drag on a portion of their PE exposure

For GPs, co-investment rights are offered to select large or strategically important LPs as a relationship benefit. Co-investors help GPs write larger equity checks on deals that exceed their fund’s concentration limits. However, GPs must manage the co-investment process carefully: offering co-investment on only good deals (adverse selection against fund LPs) would violate fiduciary duties and destroy LP relationships.

Co-Investment Adverse Selection: The risk that GPs offer co-investment only on deals they believe are lower-risk or more certain — effectively keeping the riskiest, highest-upside deals for the fund (where the GP earns carry) and sharing the more predictable returns with co-investors (at zero carry). LPs aware of this risk analyze their co-investment returns separately from their fund returns to assess whether adverse selection is occurring.

Chapter 19: Synthesis — Perspective of the Entrepreneur

19.1 The Entrepreneur’s View of VC and PE

While most of AFM 377 analyzes PE/VC from the investor perspective, the entrepreneur’s viewpoint is equally important. A founder raising capital from a VC or selling a company to a PE firm is entering a relationship with significant power asymmetries, information gaps, and long-term consequences. Understanding the investor’s motivations and constraints makes founders more effective negotiators.

On Term Sheet Negotiation: Founders often focus exclusively on valuation (post-money valuation determines how much of the company they give up). But the non-economic terms — liquidation preference, anti-dilution protection, board composition, protective provisions — often matter more in average and bad outcomes. A founder who accepts a 2× participating preferred liquidation preference at a $20M valuation may find that the VC captures the majority of proceeds in a $25M sale.

On Investor Selection: Not all capital is equal. The lead investor’s reputation, network, and behavior in difficult situations matters enormously. A VC who is supportive through a down round (helping, rather than penalizing, management) is far more valuable than one who funded at a slightly higher valuation. Reference checks on potential investors — speaking with founders of both successful and unsuccessful portfolio companies — are as important for the founder as they are for the LP conducting GP due diligence.

On Governance: Giving up board control (founders losing majority control as investors fill board seats) is often necessary to raise institutional capital. But founders should negotiate for independent director selection rights, clear removal standards for the CEO position, and provisions that limit investor ability to unilaterally block strategic alternatives.

19.2 Alignment and Agency Costs in the VC Relationship

The VC-founder relationship creates its own principal-agent problem. The VC is managing a fund with a 10-year term and incentives to maximize fund-level returns, which may diverge from the individual company’s optimal strategy:

  • Premature Exit Pressure: A VC fund nearing the end of its term may prefer an early exit (even at a suboptimal price) to free up capital and achieve fund-level DPI. The founder may prefer to hold longer for a better outcome. The drag-along provision is the investor’s mechanism to force a sale.
  • Risk Preference Divergence: VCs hold diversified portfolios; individual founders are concentrated. VCs benefit from portfolio companies taking high-risk, high-upside swings (power-law thinking) even if the downside is company failure. Founders bear 100% of the personal cost of failure. This creates divergent risk preferences that require active management.
  • Funding Strategy Disagreements: VCs may prefer to raise more capital (to fuel aggressive growth) while founders may prefer to remain capital-efficient (to avoid dilution and maintain control). The “blitzscaling” philosophy advocated by Reid Hoffman is attractive to VCs with large fund sizes but may not reflect the founder’s optimal personal outcome.
Metrick and Yasuda (2021) discuss the design of VC compensation contracts precisely in light of these alignment tensions. Carried interest tied to fund performance (rather than individual deal performance) creates some incentive for VCs to help all portfolio companies, but the power-law return distribution means VCs rationally devote disproportionate attention to their most promising portfolio companies — neglecting the median company that is unlikely to move the needle for the fund.

19.3 Term Sheet Red Flags for Founders

Experienced startup attorneys and advisors flag several term sheet provisions that deserve special scrutiny:

ProvisionRed Flag VersionImplication
Liquidation Preference2× or 3× participatingInvestor takes double or triple their money before founders see proceeds
Anti-DilutionFull ratchetAny down round punishes founders severely; could eliminate common equity
Board CompositionInvestor majority from day 1Founders can be ousted by investor vote without additional cause
Drag-AlongNo floor price or time limitInvestors can force a sale at any valuation, at any time
Pay-to-PlayAutomatic conversion to commonInvestor defaults convert preferred → common, removing protection — but also penalizes non-participating investors
Information RightsBroad personal data accessSome investors use information rights to identify acquisition targets or competitive data
No-Shop ClauseExtended (60+ days)Founder cannot explore competing term sheets; tied to one investor at high cost if deal falls through

Founders should negotiate with attorneys experienced in VC deal terms (not general corporate counsel) and seek guidance from trusted advisors who have reviewed hundreds of term sheets. The National Venture Capital Association (NVCA) publishes model term sheets that represent balanced, standard practice — deviations from these models deserve scrutiny.


Chapter 20: Advanced LBO Topics — Financial Engineering and Debt Capacity

20.1 Determining Debt Capacity

A core LBO modeling skill is calculating how much debt a target company can support. Debt capacity is constrained by:

1. Interest Coverage: Lenders typically require EBITDA / interest expense > 2.0–2.5× at close. If a company has $50M EBITDA and the all-in interest rate is 8%, maximum interest = $50M / 2.0 = $25M, implying maximum debt of $25M / 8% = $312.5M.

2. Total Leverage: Senior lenders typically cap Total Debt / EBITDA at 4.5–6.0× for investment-grade credits and 5.0–7.0× for leveraged loans. Second lien and mezzanine lenders add additional capacity beyond the senior limit.

3. Free Cash Flow Coverage: DSCR = (EBITDA − CapEx − Taxes) / (Interest + Required Amortization). Lenders typically require DSCR > 1.2× through the loan term.

4. Collateral Value: Asset-backed lending capacity (revolving credit facilities) is constrained by the value of receivables, inventory, and fixed assets.

Debt Sizing Example
Target EBITDA: \$80M. CapEx: \$10M. Taxes: \$12M. FCF available for debt service: \$80M − \$10M − \$12M = \$58M.

Senior lender constraint: 5.5× EBITDA = 5.5 × \$80M = \$440M senior capacity.
Interest coverage test: All-in rate 8.5%; interest at \$440M × 8.5% = \$37.4M; EBITDA/interest = 80/37.4 = 2.14× (passes 2.0× threshold).
DSCR test: (\$80M − \$10M − \$12M) / (\$37.4M + \$4.4M amort) = \$58M / \$41.8M = 1.39× (passes 1.2× threshold).

Additional mezzanine capacity at 7.0× total leverage: 7.0 × \$80M = \$560M; mezzanine tranche = \$560M − \$440M = \$120M.
Mezzanine rate: 12% PIK; no current interest → DSCR unaffected by mezzanine in year 1.

20.2 PIK and Toggle Notes

PIK (Payment-in-Kind) notes allow the borrower to “pay” interest by issuing additional debt rather than making cash interest payments. PIK interest compounds, increasing the principal balance over time.

\[ \text{PIK Ending Balance} = \text{Beginning Balance} \times (1 + r_{PIK})^t \]

PIK is attractive to borrowers during the early years of an LBO when cash generation may be limited (high leverage, interest burden), but dangerous if the business underperforms — the growing principal balance creates an escalating repayment obligation at maturity.

PIK Toggle notes give the issuer the option to switch between cash-pay and PIK on a period-by-period basis. This flexibility was popular in the 2006–2007 credit cycle; investors accepted PIK toggle structures in exchange for higher stated interest rates. The Global Financial Crisis demonstrated the risks: companies that toggled to PIK accumulated large principal balances that proved unserviceable in the downturn.

20.3 Dividend Recapitalization — Mechanics and Modeling

As introduced in Chapter 10, a dividend recapitalization involves the portfolio company borrowing incremental debt and using the proceeds to pay a dividend to equity holders. The modeling mechanics:

Step 1: Determine incremental debt capacity (using the same tests in Section 20.1 — at the time of the recap, the company has typically deleveraged from its initial LBO leverage).

Step 2: Calculate incremental interest burden and verify that financial covenants are still met after the recap.

Step 3: Model the dividend payment and its effect on the LP’s cash flows (the dividend is a partial exit — cash returned earlier, improving IRR).

Step 4: Recalculate exit equity value at the assumed exit date with the higher post-recap debt balance (lower equity value at exit, but partially offset by earlier cash return).

The PE fund’s economics improve on an IRR basis (early cash is worth more in IRR calculations) but MOIC is unchanged if the business value does not change — the same total enterprise value is now split between more debt and less equity.

20.4 EBITDA Add-Backs and Quality of Earnings

In practice, LBO purchase agreements are often based on adjusted EBITDA rather than GAAP EBITDA. The seller (and their investment bank) proposes adjustments that increase EBITDA; the buyer pushes back. Common add-backs include:

  • Non-recurring restructuring charges
  • One-time legal settlements
  • Excess founder compensation above market
  • Transaction costs
  • Stock-based compensation (non-cash)
  • Management fees paid to previous sponsor
  • Pro-forma impact of acquisitions (annualized EBITDA from companies acquired mid-year)

The sum of these adjustments can be substantial — in aggressive cases, adjusted EBITDA can be 30–50% higher than GAAP EBITDA. Lenders conduct their own QofE analysis to determine how much of the seller’s EBITDA adjustment they will credit. The difference between seller-proposed and lender-accepted EBITDA directly affects how much debt the lender will provide (leverage is sized as a multiple of lender-accepted EBITDA).

Kaplan and Strömberg (2009) note that PE firms that are more aggressive in EBITDA add-back negotiations tend to pay higher multiples and subsequently face more operational difficulties post-close — consistent with the hypothesis that aggressive accounting can mask underlying business weakness. Sophisticated PE buyers insist on conservative, lender-acceptable EBITDA definitions as the basis for their purchase price discipline.
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