Hedge Funds

First Principles Thinking: Fee Thresholds

A is correct. A hard hurdle acts as a deductible: the manager only gets paid on (Return - Hurdle). A soft hurdle acts as a trigger: once Return > Hurdle, the manager gets paid on the total Return (often facilitated by a catch-up clause). Therefore, for any return above the hurdle, the Soft Hurdle yields a higher fee than the Hard Hurdle, making it more advantageous to the GP. Reason (R) correctly describes the mechanical difference (taxing the entire profit vs. the excess) that causes this advantage.

This is selection bias in time. If only funds with good early results choose to start reporting, and the database includes their earlier “good” months retroactively, the dataset becomes skewed toward successes. The reason is the causal mechanism: it explains why the sample of “observed histories” is not random, which mechanically pushes average returns upward compared with what investors could have earned in real time.

Net return is what remains after all claims on the portfolio’s gains are paid. Hedge funds commonly charge a management fee (AUM-based) plus a performance fee (gain-based), so a portion of gross gains is contractually reallocated to the manager. The reason is the direct arithmetic mechanism: gross gains minus fees equals investor net gains, so high fees can meaningfully compress what investors keep even in good years.

Start from purpose. Traditional long-only funds are usually constrained (eligible assets, leverage limits, benchmark-relative framing). Hedge funds are structured to pursue a return objective using a wider toolkit, so flexibility (1) and tools like shorting, derivatives, and leverage (2) are common. Now tie objective to behavior: “absolute return” means the manager is trying to make money in many environments, not just beat an index in up markets, so (4) fits. Statement (3) contradicts first principles: if your goal is to track an index, you reduce active bets and complexity; hedge funds exist largely to do the opposite—take targeted risks (often hedged) and monetize them, not replicate an index.

First Principles Thinking: Backfill Bias Selectively Includes Good History

C is correct. Backfill bias occurs when a fund’s earlier performance history is included selectively; here, only Years 2 and 3 are included, omitting a bad Year 1.

Governing relationship. The simple average over the returns included in the index is $$\bar r_{\text{index}}=\frac{r_2+r_3}{2}$$.

Numeric application. $$\bar r_{\text{index}}=\frac{15\%+10\%}{2}=12.50\%$$.

A is incorrect because it computes the simple average over all three years $$(-5\%+15\%+10\%)/3=6.67\%$$, but Year 1 is explicitly excluded from the backfilled index history.

B is incorrect because it treats the Year 1 loss as if it were not negative (or otherwise mishandles the sign), which is a common arithmetic error rather than the stated index methodology.

First Principles Thinking: Incentive Structures

A is correct. Reason (R) identifies the structural fact: HF fees are tied to AUM (Net Asset Value), whereas PE fees are (during the investment period) tied to committed capital. Because HF fees scale linearly with AUM, a manager can increase risk-free revenue simply by gathering more assets, even if returns dilute. Thus, the AUM-based fee structure described in R is the direct cause of the 'asset gathering' incentive described in A.

Statement (1) is correct because a high-water mark prevents managers from earning performance fees on the recovery of past losses; fees are paid only on net new profits. Statement (2) is incorrect because fee layering in funds of funds (paying fees to the fund-of-funds manager on top of fees to underlying managers) raises the cost for investors. Statement (3) is correct as the '1 or 30' structure is designed to reward alpha generation, paying the greater of the base fee or the alpha-based incentive. Therefore, only statements (1) and (3) are correct. Options A and C fail because they incorrectly claim fee layering lowers costs.

Statement (1) is correct because market neutral strategies use quantitative or fundamental analysis to profit from individual security movements while hedging out market risk, ideally achieving a beta of zero. Statement (2) is incorrect because fundamental growth strategies generally identify companies with high growth expectations (longs) versus those with negative growth (shorts), but most of these portfolios tend to end up long biased, not net short. Statement (3) is correct because short biased strategies focus on shorting overvalued securities and maintain limited or no long positions. Therefore, only statements (1) and (3) are correct. Option A fails because it includes the incorrect assertion about fundamental growth bias. Option C fails for the same reason.

Build from definitions. A management fee is “pay for managing the pool,” so it scales with AUM (1). A performance fee is “share in value created,” so it scales with gains/profits (2). The economic intent is incentive alignment: the manager earns more when investors earn more, so (4) is true. But incentive alignment is not a guarantee of outcomes: investors can still lose money if the strategy loses, and fees can worsen that, which makes (3) false. The key distinction is mechanism vs guarantee: fees shape behavior by rewarding success, but they cannot override market risk, strategy risk, or drawdowns.

Funds are exposed to liquidity mismatch: assets may be hard to sell quickly, but investors may want cash quickly. The reason describes the run-prevention logic: slowing withdrawals reduces fire-sale pressure and the negative spillover to investors who stay. The trade-off is straightforward: investors give up some liquidity in exchange for better protection of asset value under stress.

A management fee is a “service fee” for running the investment operation, so AUM is the natural base: it measures the size of the pool being managed. The reason explains why it is not profit-based: operating costs (research, trading, infrastructure) exist regardless of returns, and stable fee revenue supports the organization. Performance fees then sit on top as an incentive layer tied to gains.

An average is only unbiased if the sample represents the full population. When losers disappear from the dataset, you mechanically remove negative observations, so the computed average rises even if true population performance did not. The reason is exactly that sampling mechanism, which is why hedge fund index interpretation requires caution and an understanding of database construction.

First Principles Thinking: Survivorship Bias Removes Poor Outcomes

A is correct. Survivorship bias mechanically raises reported index performance by excluding failed funds, which often have poor returns.

Governing relationship. Simple average return $$\bar r=\frac{1}{N}\sum_{i=1}^N r_i$$. The overstatement (bias) equals $\bar r_{\text{survivors}}-\bar r_{\text{all}}$.

Numeric application. Survivors’ average $$=\frac{10+8+6-4}{4}=\frac{20}{4}=5\%$$. True average including all funds $=\frac{10+8+6-4-20}{5}=\frac{0}{5}=0\%$. Overstatement $=5\%-0\%=5.00$ percentage points.

B is incorrect because it typically comes from mis-averaging (for example, dividing the survivor sum by 5 instead of 4), which would not reflect how the index is constructed when a fund is removed.

C is incorrect because it understates the effect of excluding a large negative return; the removal of a -20% outcome has a material impact on a simple average.

The core principle is fairness over time: investors should pay performance fees on net wealth creation, not on a round trip back to an earlier level. The reason is the mechanism: “previous peak” is the hurdle, so fees restart only after the investor is made whole and then earns additional gains. This improves long-run alignment because it ties incentive pay to cumulative progress, not just annual fluctuations.

Start with exposures. Long/short means you own some stocks and short others (1). Gross exposure is the sum of absolute longs and shorts; net exposure is longs minus shorts—so you can have high gross (many bets) while keeping net moderate (market-neutral-ish), making (2) true. Shorts can reduce sensitivity to market moves and protect in downturns (3). But hedging is not the same as eliminating risk: residual market risk, factor risk, short-squeeze risk, and idiosyncratic risk remain, so (4) is false.

Reason from what produces returns. Relative value starts with “two things should be priced consistently”; the trade is to buy the cheap leg and sell the rich leg, monetizing convergence (1). Global macro starts with “macro forces move many markets”; the trade expresses directional themes across rates, FX, commodities, equities, etc. (2). Because strategies are built on different economic engines—convergence, carry, volatility, directional macro, corporate events—their sensitivities (rates, spreads, volatility, liquidity) and correlations can vary widely (4). Statement (3) is too strong: event-driven strategies often embrace idiosyncratic event risk (mergers, restructurings, distress); they may hedge some market risk, but “eliminate all idiosyncratic risk” contradicts the core idea.

First Principles Thinking: Fee Layering vs. Value Proposition

B is correct. Assertion (A) is true: FoFs charge an additional layer of fees (e.g., 1% & 10%) on top of the underlying funds' fees, which mathematically reduces net returns. Reason (R) is also true: these are the valid value propositions for why investors choose FoFs despite the cost. However, R is not the explanation for A. The diversification and access (R) explain the utility of the FoF, not the cause of the lower returns. The cause of lower returns is the double-fee structure, not the due diligence process itself.

Start from the problem: without constraints, a manager could earn incentive fees in good years, lose money in bad years, then earn incentive fees again just for recovering back to where investors previously were—investors would effectively pay twice for the same wealth level. A high-water mark fixes this by setting a reference point: the investor must be made whole back to the prior peak before incentives restart, so (1) and (2) are true. This also improves intertemporal alignment: it rewards net new wealth creation, not mere bounce-backs, supporting (4). Statement (3) confuses fee mechanics with investment outcomes: high-water marks change when fees are paid; they do not remove market risk or prevent drawdowns.

First Principles Thinking: Performance Fees Apply Only to Profit Above the Hurdle, After Certain Fees

B is correct. The investor’s net profit equals gross profit minus the management fee and minus the performance fee computed on the stated “excess” profit definition.

Governing relationships. Gross profit $$=P_2-P_1$$. Management fee $\text{MF}=mP_2$. Excess profit for performance fee (as specified): $\text{Excess}=(P_2-P_1)-(hP_1)-\text{MF}$. Performance fee $\text{PF}=p\max(0,\text{Excess})$. Net return $r_{\text{net}}=\frac{(P_2-P_1)-\text{MF}-\text{PF}}{P_1}$.

Numeric application. Gross profit $$=118-100=18$$. $$\text{MF}=0.02\times 118=2.36$$. Hurdle dollars $=0.06\times 100=6$. Excess $=18-6-2.36=9.64$. $$\text{PF}=0.20\times 9.64=1.928$$. Net profit $=18-2.36-1.928=13.712$, so net return $=13.712/100=13.71\%$ (rounded).

A is incorrect because it computes the performance fee on profit above the hurdle but does not subtract the management fee when determining the performance-fee base, contradicting the problem’s “excess” definition.

C is incorrect because it applies the hurdle to the end-of-year value (or otherwise mis-defines the hurdle dollar amount) rather than applying $h$ to the beginning capital $P_1$ as stated.

An index is a function of two things: which funds are included and how they’re aggregated (equal-weight, asset-weight, strategy buckets). If databases overlap imperfectly and reporting is voluntary, each index can represent a different slice of the hedge fund universe, so reported returns can diverge even without “errors.” The reason directly explains the assertion by pointing to constituent selection and construction rules as the drivers of dispersion.

Begin with a simple balance-sheet view: a fund holds assets; investors hold claims on the fund; redemptions are cash outflows. If many investors redeem quickly, the fund may be forced to sell assets at bad prices (fire sales), harming remaining investors and potentially destabilizing the strategy. Lockups (1) and gates (2) are contractual tools that slow outflows, giving the manager time to unwind positions more orderly and protect the strategy’s economics—this is exactly the forced-sale logic in (3). Statement (4) reverses the meaning: these terms reduce liquidity (investor flexibility) in exchange for better asset-liability matching and protection against runs.

First Principles Thinking: Leverage Boosts Equity Returns Only After Interest

B is correct. The leveraged return to equity equals the asset return on total invested capital minus the borrowing cost, all scaled by equity capital.

Governing relationship. With equity $V_c$ and borrowing $V_b$ at cost $r_b$, and asset return $r$ on total assets $V_b+V_c$, the equity (leveraged) return is $r_L=\frac{(V_b+V_c)r - V_br_b}{V_c}$. Rearranging to solve for $r$ gives $r=\frac{V_c r_L + V_b r_b}{V_b+V_c}$.

Numeric application. $$r=\frac{500\times 0.14 + 200\times 0.04}{700}=\frac{70+8}{700}=0.1114286\approx 11.14\%$$.

A is incorrect because it ignores the borrowing cost term $$V_b r_b$$, effectively treating the borrowing as “free,” which understates the required unleveraged return consistent with a 14% equity return.

C is incorrect because it applies the borrowing cost adjustment with the wrong scaling (a common mistake is to subtract a borrowing-cost adjustment from 14% without properly converting between return-on-equity and return-on-assets), overstating $$r$$.

First Principles Thinking: Liquidity Mismatch

D is correct. Assertion (A) is false. A gate does the exact opposite: it limits the amount of capital that can be redeemed (e.g., restricting withdrawals to 10% of the fund). It does not force liquidation; it prevents the need for immediate forced liquidation. Reason (R) is true: By slowing down outflows, the manager avoids selling illiquid assets at fire-sale prices, which protects the NAV for the investors who remain.

First Principles Thinking: Retrospective vs. Prospective Protections

D is correct. Assertion (A) is false. According to the source text, while clawbacks are common in Private Equity (to fix deal-by-deal waterfall errors), they are rare in Hedge Funds. In HFs, once a fee is paid, it is rarely returned. Reason (R) is true: The high-water mark is the standard HF mechanism for this issue, but it is prospective (stops future fees) rather than retrospective (reclaiming past fees).

Gates are explicitly designed to slow the pace of withdrawals; that mechanically reduces immediate redemption ability. The reason explains the economic purpose: when the fund holds less liquid positions, forcing large quick sales can destroy value, so gates act like a circuit breaker. This is asset–liability management: match redemption speed to the speed at which assets can be liquidated without fire-sale losses.

Statement (1) is correct because the master-feeder structure pools assets into a master fund where all investment activity occurs, while feeder funds simply channel capital into it. Statement (2) is correct because side letters are side agreements that address specific investor requirements (e.g., reporting, fees) and can override standard terms. Statement (3) is incorrect because SMAs actually offer better transparency (and control) since the assets are held in the investor's own name or a dedicated account, unlike commingled funds. Therefore, only statements (1) and (2) are correct. Options B and C fail because they mischaracterize the transparency of SMAs.

First Principles Thinking: Order of Operations

C is correct. Assertion (A) is true: The standard industry practice (and the method used in CFA curriculum) is to calculate management fees first, deduct them, and then calculate incentive fees on the remaining profit. However, Reason (R) is false regarding the justification. Management fees are operating expenses. While deducting them first does lower the incentive fee base, the primary reason they are deducted is that they are a guaranteed liability regardless of performance, not specifically to safeguard the investor's net attribution. Furthermore, incentive fees are often charged on gross profits in some jurisdictions or specific LPAs; the 'net' argument is a consequence, not the universal governing rule.

Event-driven returns come from catalysts: a merger closing, a restructuring plan, a liquidation recovery—so (1) is true. Because outcomes hinge on specific transactions and counterparties, risk is idiosyncratic and not fully diversified away by market hedges (2). Legal/regulatory approval, financing, shareholder votes, and court decisions can determine whether the event occurs and at what terms, so (4) is true. Statement (3) is false: that describes global macro; event-driven is micro/catalyst-driven.

First Principles Thinking: Fees Apply to Specific Bases

C is correct. A hedge fund’s net return equals the change in NAV after subtracting (1) the management fee and (2) any incentive fee that is earned only after meeting the high-water mark and hurdle requirement.

Governing relationships. Let $P_1$ be beginning NAV and $P_2$ be end-of-year NAV before fees. Management fee: $$\text{MF}=m\,P_2$$. Incentive fee base (given it is net of management fee and above the hurdle applied to the HWM): $\text{Base}=\left(P_2-\text{MF}\right)-\left(P_{\text{HWM}}(1+h)\right)$. Incentive fee: $\text{IF}=p\,\max(0,\text{Base})$. Net NAV: $P_{2,\text{net}}=P_2-\text{MF}-\text{IF}$. Net return: $r_{\text{net}}=\frac{P_{2,\text{net}}}{P_1}-1$.

Numeric application. $$\text{MF}=0.02\times 560=11.2$$. NAV net of management fee $=560-11.2=548.8$. Hurdle-adjusted HWM $$=520\times 1.05=546.0$$. Excess $=548.8-546.0=2.8$. $$\text{IF}=0.20\times 2.8=0.56$$. Net NAV $=560-11.2-0.56=548.24$. Net return $=548.24/500-1=0.09648\approx 9.65\%$.

A is incorrect because it ignores the hurdle rate and charges the incentive fee simply on gains above the HWM (net of management fee), overstating the incentive fee and understating the investor’s net return.

B is incorrect because it calculates the incentive fee on gains above the hurdle-adjusted HWM using the gross end-of-year NAV (before subtracting the management fee from the incentive base), violating the stated “net of management fee” convention.

First Principles Thinking: Option Payoffs

D is correct. Reason (R) is true: The manager has limited liability (floor at zero fees) but unlimited upside participation. This payoff profile—flat on the downside, linear on the upside—is characteristic of a Call option, not a Put option. Therefore, Assertion (A) is false; the structure resembles a Long Call option held by the manager, not a Short Put.

Leverage is a multiplier: it scales portfolio sensitivities, so losses accelerate when markets move against you. The reason adds the second-order mechanism: when equity falls, lenders/margin requirements can force position reductions at bad times, which can deepen losses. This is why hedge funds emphasize risk controls around leverage, liquidity, and stress scenarios rather than treating leverage as a free return booster.

“Absolute return” means the target is a positive return level (or positive performance) rather than “index + alpha.” The reason explains the behavioral implication: managers use flexible tools (hedging, shorting, derivatives, dynamic exposures) to try to perform in different regimes. This doesn’t guarantee profits, but it explains why the label is used and how it differs from benchmark-relative management.

Relative value starts with a pricing relationship and bets on normalization (1). Because the mispricing may be small in percentage terms, managers often scale the trade with leverage to make the return meaningful (3). But convergence is not guaranteed in the short run: funding shocks and illiquidity can push spreads wider, producing losses and margin pressure before any convergence occurs (4). Statement (2) is the dangerous misconception: “market-neutral” does not mean “risk-free,” especially when liquidity and leverage interact.

Short selling has two first-principles roles: (i) directional—profit if a security falls, and (ii) hedging—reduce sensitivity to broad market moves. The reason explains the hedging channel: a short book can partially neutralize beta/factor exposure from longs, making returns depend more on security selection than market direction. This is why long/short portfolios can target a chosen net exposure rather than being forced to be fully long the market.

First Principles Thinking: Fee Layering Reduces the End Investor’s Return

A is correct. The investor earns the underlying net performance of the two hedge funds and then pays an additional management and incentive fee at the fund-of-funds level.

Governing relationships. Start capital $P_1$ equals total invested (here, 200). End capital before FoF fees $P_2$ equals the sum of end values (here, 240). FoF management fee: $\text{MF}=mP_2$. Because the incentive fee is calculated independently of the management fee, FoF incentive fee: $\text{IF}=p(P_2-P_1)$. Net return: $r_{\text{net}}=\frac{P_2-\text{MF}-\text{IF}}{P_1}-1$.

Numeric application. $$P_1=120+80=200$$ and $P_2=150+90=240$. $$\text{MF}=0.01\times 240=2.4$$. $$\text{IF}=0.10\times (240-200)=4.0$$. Net return $=\frac{240-2.4-4.0}{200}-1=\frac{233.6}{200}-1=0.168=16.80\%$.

B is incorrect because it calculates the incentive fee after deducting the FoF management fee (i.e., on $$P_2-P_1-\text{MF}$$), but the problem states the incentive fee is calculated independently.

C is incorrect because it ignores FoF-level fees entirely, reporting only the gross FoF performance $$240/200-1=20\%$$.

Start from mechanics. Leverage is “more exposure per dollar of equity,” so any return shock is scaled up—good or bad—making (1) true. Derivatives often require only margin/premium, so they can deliver meaningful exposure with less initial cash than buying the underlying (2). Because leverage and derivatives can create nonlinear payoffs and large losses in stressed markets, hedge funds emphasize risk controls (limits, VAR/stress tests, liquidity management, hedges) to avoid blowups, supporting (4). Statement (3) is the classic trap: derivatives are tools; risk depends on the position’s sensitivity and structure, not the instrument label. A derivative can reduce risk (hedge) or increase it (levered bet).

Statement (1) is correct because the J-curve effect illustrates the dip in returns due to early fees and costs before investments generate value. Statement (2) is incorrect because MOIC (money multiple) ignores the timing of cash flows, which is why IRR is often preferred for performance appraisal despite its complexity. Statement (3) is correct because Level 3 inputs are defined as unobservable inputs used when market activity is limited, requiring mark-to-model valuation. Therefore, only statements (1) and (3) are correct. Options A and B fail because they incorrectly attribute time-weighting capabilities to MOIC.

Statement (1) is incorrect because merger arbitrage strategies typically involve going long (buying) the stock of the target company and going short (selling) the stock of the acquiring company to capture the deal spread. Statement (2) is correct as distressed strategies explicitly target securities of companies facing bankruptcy or restructuring to capture value from recovery. Statement (3) is correct because activist hedge funds seek to influence company direction through public equity stakes, whereas private equity typically takes companies private. Therefore, only statements (2) and (3) are correct. Option A and Option C fail because they include the reversed mechanics of merger arbitrage.

Statement (1) is correct; a margin call demands additional collateral when the account value falls below a maintenance threshold. Statement (2) is incorrect because leverage allows investors to take a position larger than their capital commitment, which magnifies both gains and losses rather than reducing risk. Statement (3) is correct as prime brokers facilitate leverage by lending cash for purchases or securities for short selling. Therefore, only statements (1) and (3) are correct. Options A and C fail because they misstate the purpose and effect of leverage.

Start from sampling: an index is only as good as the dataset feeding it. If losing funds stop reporting or disappear, the remaining sample is biased upward—survivorship bias (1). If a fund starts reporting after strong early performance and the database “backfills” that history, the sample again becomes upward biased—backfill bias (2). Coverage matters too: many funds report voluntarily to some databases and not others, so different indexes can represent different slices of the hedge fund universe, producing different reported results (4). Statement (3) is false because hedge funds are not generally exchange-traded like stocks; reporting is often voluntary and uneven, which is exactly why these biases exist.

First Principles Thinking: The HWM Can Eliminate Incentive Fees

A is correct. If the year-end value net of management fee does not exceed the high-water mark, the incentive fee is zero and the manager earns only the management fee.

Governing relationships. End-of-year AUM before fees: $$P_2=P_1(1+r)$$. Management fee: $\text{MF}=mP_2$. Incentive fee: $\text{IF}=p\max\left(0, (P_2-\text{MF})-P_{\text{HWM}}\right)$. Total fee $=\text{MF}+\text{IF}$.

Numeric application. $$P_2=300\times 1.30=390$$. $$\text{MF}=0.02\times 390=7.8$$. NAV net of management fee $=390-7.8=382.2$, which is below the HWM of 385, so $\text{IF}=0$. Total fee $=7.8$ million.

B is incorrect because it applies the HWM test to the gross year-end AUM (390 > 385) instead of to the year-end AUM net of management fee as stated, incorrectly triggering an incentive fee.

C is incorrect because it charges the 20% incentive fee on total profits (or on a much broader base) rather than only on profits above the HWM, which contradicts how high-water mark provisions restrict incentive fees.