Private equity: venture capital, growth, buyout

Learning Outcome Statement

Explain features of private equity and its investment characteristics.

On the exam: A vignette gives the private equity style, commitment and invested capital, valuation basis, fees, leverage, and exit facts, then asks for an explanation or comparison in a multiple-choice, matrix-grid, or fill-in-the-blank format.

Private equity puts capital into companies whose shares do not trade continuously. The fund manager calls capital from investors, buys an ownership stake, works toward an exit, and returns cash. You care because exit timing may be uncertain, valuations may lag current evidence, and fees can make investor cash smaller than gross proceeds.

Style	Deal and ownership	Main risk
Venture capital	Early-stage, usually minority stake	Failure and dilution
Growth equity	Expanding company, often minority stake	Growth and valuation decline
Buyout	Established company, often control stake	Debt and operating risk

The amount of operating evidence affects how much the valuation rests on future growth. A buyout can add debt, so state whether its return is levered or unlevered.

When the question asks how many times capital came back before or after fees, use a gross or net cash multiple. Gross proceeds, $P$, are cash received at exit. Invested capital, $I$, is cash funded into the deal. After fees, the net distribution, $N$, is cash left for investors. For a net cash multiple, $D$ is the denominator named by the question.

$$ \begin{aligned} \text{Gross multiple} &= \frac{P}{I} \ \text{Net cash multiple} &= \frac{N}{D} \end{aligned} $$

$P$ increases either multiple when exit proceeds rise. $I$ is the gross denominator, while $D$ can be invested or committed capital if named. Fees and carried interest reduce $N$. These are multiple-based measures, not time-weighted or money-weighted returns.

The cash path behind those labels is shown here.

Private equity is illiquid, and exit timing may be uncertain. Investors commit capital, fund it when called, hold through ownership, and await an exit.

Follow the sequence from promise to returned cash. A capital call funds the investment; appraisals may lag current conditions during ownership. At exit, transaction or market value supplies newer evidence, and distribution shows cash after charges.

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The timeline separates when money is promised, funded, valued, and realized. Illiquidity means there may be no continuous market quote during ownership, and an exit date can remain uncertain. An appraisal is an estimate at a point in time; transaction or market value offers current price evidence. Check the question's date and valuation basis before interpreting the figure.

Lens	Private equity fact
Liquidity	Illiquid
Exit timing	May be uncertain
Appraisal value	May be stale
Transaction or market value	Current price evidence

A stable appraisal is not a fresh trade price. Compare the value basis with the question's date before judging the return.

Capital labels distinguish promised cash from funded cash. A fee contract may name one base while the return calculation names another, so read each amount with its label and do not assume the largest is funded capital.

Capital label	Definition
Commitment	Promised capital
Invested capital	Funded capital

Commitment can be a fee base when the terms specify it. A gross multiple uses invested capital when the question gives funded capital as its denominator.

Fee treatment depends on its stated base and period. Management fees and carried interest reduce investor cash; keep this arithmetic separate from the multiple and state the deductions.

Fee	Basis	Investor cash effect
Management fee	Stated fee base and period	Reduces net cash
Carried interest	Positive gross profit	Reduces net cash

Read the fee contract before calling a result gross or net. The net cash multiple must identify deductions for management fees and carried interest.

Label returns so another reader can reproduce them. Gross multiple uses proceeds before deductions; net cash multiple uses distribution after charges and a stated denominator. For a buyout, say whether debt effects are included.

Return label	Numerator	Denominator or debt basis
Gross multiple	Gross proceeds	Invested capital
Net cash multiple	Net distribution	Denominator stated
Buyout return	Exit proceeds	Levered or unlevered

Label gross or net, label the denominator, and label buyout returns as levered or unlevered.

Worked example

You are handed a private equity fund with a USD 10 million commitment and USD 8 million of invested capital. Gross proceeds at exit are USD 13,600,000 after five years. The fund charges 2% annually on committed capital and 20% carried interest on positive gross profit, with no hurdle or catch-up. You need the net distribution and the gross and net cash multiples, with each denominator named.

Given	Value
Committed capital	USD 10 million
Invested capital	USD 8 million
Gross proceeds at exit	USD 13,600,000
Management fee	2% annually for five years
Carried interest	20% of positive gross profit
Hurdle or catch-up	None
Interim distributions	None

The bars begin with gross proceeds, subtract the management fee and carried interest, and end with net distribution. The fee and carry bars are investor outflows, so they sit below the axis.

Read left to right: begin with exit proceeds, subtract management fee, then carry to reach net distribution. Bars below zero are charges. Amounts follow the commitment based fee and positive gross profit carry terms; check each stage before calculating multiples.

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Check each adjustment before dividing. Gross proceeds start the calculation; fee and carry are negative because investors pay them from proceeds. Net distribution is lower by both charges. These stages can reveal carry on the wrong profit base or a fee subtracted twice. The arithmetic below applies the terms in order.

Waterfall stage	Amount in USD
Gross proceeds	13,600,000
Management fee	-1,000,000
Carried interest	-1,120,000
Net distribution	11,480,000

Subtract the USD 8 million invested capital from the USD 13,600,000 gross proceeds to find positive gross profit for carry. The result is USD 5,600,000.00.
Apply 2% to the USD 10 million commitment for five years because the fee contract uses commitment. Total management fees are USD 1,000,000.00.
Apply 20% to USD 5,600,000.00 because carry is charged on positive gross profit. Carried interest is USD 1,120,000.00.
Subtract fees and carry from gross proceeds because the investor receives cash after both charges. Net distribution is USD 11,480,000.00.
Divide gross proceeds by invested capital because the gross multiple uses funded capital. The gross multiple is $1.70$.
Divide net distribution by invested capital and name the deductions because this is a net cash multiple. The net cash multiple is $1.44$.
If the question instead names commitment as denominator, divide the same net distribution by commitment and label it separately. That net cash multiple is $1.15$.

The investor receives USD 11,480,000.00 after fees and carry. The gross multiple is $1.70$ on invested capital, while the net cash multiple is $1.44$ on invested capital or $1.15$ on committed capital when that denominator is requested. Compare multiples only after matching the denominator and gross or net basis.

Changed condition

The only changed input is gross proceeds at exit. It rises from USD 13,600,000 to USD 15,600,000, while capital and fee terms stay the same.

Measure	Before	After
Gross proceeds	USD 13,600,000	USD 15,600,000
Carried interest	USD 1,120,000.00	USD 1,520,000.00
Net cash multiple on invested capital	$1.44$	$1.64$

Before looking at the result, predict the direction. Management fees remain USD 1,000,000.00 because the commitment, rate, and fee period did not change. Carry rises from USD 1,120,000.00 to USD 1,520,000.00 because positive gross profit is larger. Net distribution rises from USD 11,480,000.00 to USD 13,080,000.00, and the gross multiple rises from $1.70$ to $1.95$. Before reading on, recompute the upside net cash multiple using committed capital, then label the denominator.

Common error

You may treat the USD 10 million commitment as invested capital in a multiple, or use it in a fee calculation without stating the basis. It feels right because commitment is the amount the investor promised and the larger headline number. What gives it away is that only USD 8 million was funded, so a multiple must use invested capital and a fee may use commitment only when the terms say so.

Calculator

Enter the amounts before asking the calculator for the multiple.

Keys	Display
2ND CLR WORK	0.00
13,600,000 ÷	13,600,000.00
8,000,000 =	1.70
CPT	1.70

Check yourself

Practice

A fund reports a USD 10 million commitment and USD 8 million invested capital. Which statement is correct?

Which statement best describes private equity valuation and buyout returns?

Match each private equity style with its most characteristic risk pattern.

	Early-stage failure	Growth or valuation miss	Debt or operating risk
Venture capital
Growth equity
Buyout

Revision snapshot

Commitment is promised capital. Invested capital is funded capital. Gross multiple uses gross proceeds divided by invested capital. Always label the denominator.

$$ \text{Gross multiple} = \frac{\text{gross proceeds}}{\text{invested capital}} $$

Net cash multiple must identify deductions for management fees and carried interest. Private equity is illiquid, and exit timing may be uncertain. Appraisal value may be stale. Transaction or market value reflects current price evidence. Buyout returns may be levered or unlevered. Label the return basis. The trap is treating commitment as invested capital. The exam gives the style, capital labels, valuation basis, fees, leverage, and exit facts, then asks for an explanation or comparison.

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Practice Questions: Private equity: venture capital, growth, buyout

1. Northbridge Pension Plan is conducting due diligence on Northbridge Fund II, a private equity fund nearing the end of its investment period. The pension plan's alternatives team is reviewing whether the fund manager has calculated fees and performance consistently with the limited partnership agreement. The partnership assesses its management fee annually using the fee base specified in Exhibit 1. For the current year, invested capital and beginning NAV differ because several portfolio companies have appreciated since acquisition. No new capital was called during the year. The fee calculation does not include transaction, monitoring, or other portfolio-company fees. The fund uses a European, whole-fund waterfall. Under this structure, the limited partners must receive the contributed capital attributable to realised investments and the specified preferred return before the general partner receives carried interest. The agreement has no general partner catch-up provision. For the distribution under review, the relevant investments were held for exactly one year, and the entire USD 78.0 million was distributed at year-end. All amounts needed to calculate the applicable preferred return and carried interest are provided in the exhibits. The alternatives team also evaluates the fund's performance using MOIC. The team defines MOIC as cumulative distributions plus residual value, divided by cumulative paid-in capital. It does not annualise this measure or adjust it for the timing of capital calls and distributions. Accordingly, the team separately uses IRR when it needs a time-sensitive performance measure. Separately, the alternatives team is assessing where Northbridge Fund II stands in its fundraising and portfolio-construction lifecycle, information summarized in Exhibit 3. The fund closed on committed capital in 2019 and has a stated five-year investment period. The general partner has not yet begun raising a successor fund. The team notes the pace of capital calls, the number of portfolio companies acquired to date, and the fund's diversification across sectors and geographies as it assesses how much dry powder remains available for new platform investments, including the proposed software company transaction. Finally, the fund manager proposes an investment in a software company that has operated for eight years, generates positive EBITDA, and has an established customer base. The company seeks financing to enter additional international markets and develop complementary products. Northbridge Fund II would purchase newly issued shares but would not acquire control, and the founders would continue to manage the business. The alternatives team must classify this proposed investment using the company's development stage, the use of proceeds, and the degree of control obtained.

2. Northbridge Pension Plan is considering a commitment to Northbridge Fund I, a closed-end private equity fund that acquires controlling interests in established companies. The investment committee understands that capital commitments are drawn over time and that the fund does not ordinarily provide investors with periodic redemption rights. Any transfer of a limited partnership interest requires the general partner's consent and may occur at a discount in the secondary market. The fund uses a European, whole-of-fund waterfall. Under this arrangement, the general partner receives carried interest only after investors have recovered contributed capital and received the stated preferred return at the total-fund level. The governing agreement contains no general-partner catch-up provision. For purposes of the committee's first-year analysis, the management fee is contributed at inception together with the capital invested in portfolio companies. The year-end portfolio value shown in Exhibit 1 is measured before deducting either the management fee or carried interest. No additional capital calls or distributions occur during the year, and the preferred return is calculated for one full year without compounding. An analyst prepares several performance measures. She notes that the management fee base does not necessarily equal the amount already invested in portfolio companies. She also distinguishes a multiple on contributed capital from a multiple based on total commitment because undrawn commitments have not yet been paid into the fund. When estimating carried interest, she plans to return contributed capital first, add the preferred return calculated on that contributed capital, and apply the carry percentage only to value exceeding both amounts. The committee also compares Northbridge Fund I with a publicly traded equity portfolio. The private equity manager values portfolio companies quarterly using transaction multiples, discounted cash flow estimates, and operating forecasts. These appraisals can adjust to changing market conditions more slowly than quoted public-equity prices. The analyst cautions that the resulting reported return series may appear smoother than the underlying economic values and may not capture contemporaneous co-movement with listed equities. The committee will therefore avoid treating reported standard deviation and correlation as complete measures of the fund's economic risk.

3. Stonehaven University Endowment is considering three real asset investments: direct ownership of Harbor Office, shares of publicly traded Summit REIT, and an interest in one of two toll-road projects. The investment committee seeks inflation-sensitive income but also considers liquidity, valuation transparency, leverage, and development risk. Harbor Office is stabilized and expected to maintain its current occupancy during the forecast year. The committee instructs analyst Priya Shah to use direct capitalization and the market capitalization rate for comparable unlevered properties. For this purpose, net operating income equals property revenue less property operating expenses before financing costs, income taxes, depreciation, and capital expenditures. The stated mortgage interest expense is therefore not deducted in calculating NOI. Shah assumes the forecast Year 1 NOI is sustainable and that the market capitalization rate already reflects the property's operating risk and expected long-term growth. Summit REIT owns a diversified portfolio of stabilized commercial properties and trades continuously on a public exchange. Its shares provide indirect real estate exposure without giving individual shareholders control over specific properties. The shares may react to equity-market sentiment, interest-rate expectations, leverage concerns, and changes in the value of the underlying property portfolio. The committee calculates a simplified net asset value by subtracting debt from the market value of property assets and then dividing by shares outstanding. There are no preferred shares, non-controlling interests, or other net assets and liabilities. For infrastructure, Stonehaven compares the project profiles in Exhibit 2. The committee describes an operating asset with established demand as a brownfield investment and a project that must be designed, permitted, and constructed as a greenfield investment. It expects greenfield investments to offer potential value creation but recognizes that they ordinarily bear more completion, cost-overrun, permitting, and demand-estimation risk. Brownfield assets usually provide earlier cash flows and more operating evidence, although they remain exposed to regulatory, maintenance, and demand risks. The committee will assess each exposure on its economic characteristics. It will not treat listed REIT shares as equivalent to direct property ownership merely because both provide real estate exposure, and it will not apply a levered cash-flow measure to an unlevered capitalization rate.

4. An investor purchases a digital token issued by a blockchain startup. The token entitles the holder to a pro rata share of the platform's future profits and a claim on residual assets if the venture is dissolved. The token is most likely classified as a:

A. Utility token
B. Security token
C. Payment token

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Answer: B. Security token

Security token - The holder’s pro rata share of future profits gives the token an investment claim tied to the startup’s performance. - Its claim on residual assets if the venture dissolves further makes it ownership-like, so it is a security token. Utility token - A utility token primarily grants access to a product or service, not a share of the issuer’s profits. - This token also gives the holder a claim on residual assets, which goes beyond a utility token’s access rights. Payment token - A payment token primarily functions as a medium of exchange. - The described token instead conveys rights to future profits and residual assets, not merely a means of payment.

5. A collateralized commodity futures position has a 4.0% spot return, a −1.5% roll return, and a 0.5% collateral return. The calculated value of total return is closest to:

A. 2.5%
B. 3.0%
C. 4.5%

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Answer: B. 3.0%

3.0% - A collateralized commodity futures position’s total return is the sum of its spot, roll, and collateral returns. - Here, 4.0% − 1.5% + 0.5% = 3.0%. 2.5% - 4.0% − 1.5% = 2.5% includes the spot and roll returns. - It omits the 0.5% collateral return earned on the position. 4.5% - 4.0% + 0.5% = 4.5% includes the spot and collateral returns. - It omits the −1.5% roll return, which reduces total return.

6. Northstar Alternatives advises a multi-asset pension portfolio that is considering commodity futures, hedge funds, and digital assets. The pension's investment committee understands that each category can provide differentiated return drivers but wants the analysis to identify the actual economic exposure rather than rely on fund labels. For the commodity allocation, Northstar evaluates a fully collateralized long futures position over one measurement period. The analysts decompose performance into the change in the commodity's spot price, income earned on collateral, and the roll return generated when expiring futures contracts are replaced. The return components in Exhibit 1 are already measured consistently for the period, so they can be added without annualization or compounding. The sign of the roll return also reveals whether the futures curve is upward or downward sloping, which matters for trend-following programs that trade across the curve. Transaction costs, management fees, taxes, and foreign-exchange effects are zero. Northstar also reviews three hedge fund strategies. Atlas participates only after a merger or acquisition has been publicly announced. Its principal risk is that the announced transaction fails, is delayed, or closes on revised terms. Beacon uses predetermined signals based on sustained price movements and may hold either long or short positions in equity index, interest-rate, currency, and commodity futures; its process is rules-based rather than reliant on a manager's discretionary macroeconomic forecasts or on fundamental analysis of individual issuers. Cedar selects individual stocks on both the long and short sides but normally retains positive net equity exposure. The committee is asked to classify strategies according to their primary investment process, not according to the legal form of the investment vehicle. Finally, Northstar conducts operational due diligence on a proposed digital asset fund. The investment team distinguishes risks of the distributed ledger and consensus protocol from risks introduced by the smart contract code that governs decentralized applications built on top of the chain. The underlying blockchain remains operational, and the custodian's multi-signature, offline-backup, segregated-account key-management controls remain intact, but the lending protocol into which the fund's assets are deployed contains an unpatched reentrancy flaw that creates a concentrated point of failure. The fund documents do not provide evidence of token inflation, a protocol fork, inaccurate oracle data, or congestion-related transaction failure. The pension can tolerate market-price volatility but has a low tolerance for avoidable operational risk. It requires independent code audits of any smart contracts used, verified custody controls, and a documented recovery process before approving a digital asset manager. All return figures are stated before advisory fees, and the strategy descriptions are sufficient for classification without assuming exposures not stated in the exhibits.

7. Northlake Insurance Company is evaluating real asset investments for two portfolios. Its long-horizon surplus portfolio can tolerate illiquidity and seeks income plus potential inflation sensitivity. Its reserve portfolio funds unpredictable insurance claims and must be capable of converting each holding to cash within five trading days without negotiating a private transfer. The reserve portfolio also limits any single property exposure to 2% of portfolio assets. For the surplus portfolio, Northlake is considering acquiring an office property. The analyst plans to use direct capitalization based on stabilized first-year net operating income. Under the firm's valuation policy, NOI includes rental income after vacancy and property-level operating expenses. It excludes depreciation because depreciation is a non-cash accounting charge. It also excludes mortgage interest because the capitalization analysis values the property before financing. The relevant forecast and market capitalization rate appear in Exhibit 1. For the reserve portfolio, the analyst reviews a publicly traded real estate investment trust. The REIT owns diversified industrial properties and trades throughout the business day on a national securities exchange. Northlake estimates the REIT's net asset value by adding the market value of its properties and other assets and subtracting debt and other liabilities. Exhibit 2 provides the required data. Transaction costs and taxes are assumed to be zero for the requested calculation. Northlake also considers an operating toll road with ten years of traffic history. The road is subject to a 30-year concession agreement that specifies maintenance standards and a regulated process for requesting toll increases. The operator proposes adding lanes to relieve congestion. Construction will occur while the existing road remains open, and the operator bears the risk of cost overruns and late completion. The analyst describes the asset as predominantly brownfield because it is already operating, but she notes that the expansion introduces risks commonly associated with project development. Although historic utilization data improve demand forecasts, future traffic remains sensitive to economic activity and competing transportation routes. The investment committee asks whether the existing operating record or concession agreement eliminates any major category of risk.

Flashcards: Private equity: venture capital, growth, buyout

1. In private equity, what does PIPE stand for?

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Private investment in public equity.

2. In Alternative Investments (Private Capital), what is a "trade sale" exit strategy?

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Selling a portion or all of a portfolio company to a strategic buyer or competitor via direct sale or auction.

3. In Alternative Investments (Private Capital), what is "unitranche debt"?

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Private debt that combines different classes of debt (secured and unsecured) into a single loan with an interest rate that reflects the blend of debt classes.

4. In Alternative Investments (Private Capital), what is a "recapitalization" exit strategy?

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The portfolio company issues debt to fund a dividend distribution to equity holders; the PE fund extracts money while still controlling the company.

5. In Alternative Investments (Private Capital), what is the difference between a Management Buyout (MBO) and a Management Buy-in (MBI)?

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In an MBO, the existing management team participates in the purchase. In an MBI, the private equity manager replaces the current management with a new team.

6. In Alternative Investments (Private Capital), what are the three phases of the "formative stage" in venture capital investing?

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1\. Pre-seed (angel) capital. 2. Seed-stage financing. 3. Early-stage (start-up) financing.

7. In Alternative Investments (Private Capital), what is a Private Investment in Public Equity (PIPE)?

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A minority equity investment where a private equity firm makes a private offering to buy stock in a publicly traded firm looking for capital to expand.

8. In Alternative Investments (Private Capital), what is a Leveraged Buyout (LBO) fund?

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A private equity fund that acquires public or private companies with a large percentage of the purchase price financed by debt, intending to restructure the firm and use cash flows to service the debt.

9. In Alternative Investments (Private Capital), what is "venture debt"?

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Private debt funding that provides VC backing to start-up or early-stage firms that are not yet profitable, often convertible to stock or combined with warrants.

10. In Alternative Investments (Private Capital), what does "vintage year" refer to?

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The year a private capital fund makes its first investment.