CFA Level 1 — Alternative Investments

Intuition-First Study Guide · All 6 Readings (R76–R81)

Concepts explained from first principles · Worked fee calculations · Exam traps highlighted throughout

Reading 76

Alternative Investment Features, Methods & Structures

What alternative investments are, how you access them, and how the fund is set up — including the fee machinery.

🗺 Big Picture

Alternative investments are everything that is not a publicly traded stock, bond, or cash. The defining features — illiquidity, high fees, information asymmetry, complexity — all flow from this single fact. Every other concept in R76 is a direct consequence: limited partnerships exist because illiquid assets need committed capital; performance fees exist because of information asymmetry; high-water marks exist because performance fees can otherwise be gamed.

What Makes an Investment "Alternative"?

Traditional investments are long-only positions in publicly traded stocks, bonds, and cash. Alternatives are everything else. The CFA curriculum classifies them into three buckets:

Bucket	Sub-categories	Core Feature
Private Capital	Private equity (LBOs, VC), private debt (direct lending, distressed, mezzanine, unitranche, venture debt)	Companies not yet listed — illiquid, long horizon
Real Assets	Real estate, infrastructure, natural resources (commodities, farmland, timberland), digital assets	Physical or quasi-physical assets with inflation-hedging properties
Hedge Funds	Equity hedge, event-driven, relative value, opportunistic (macro, managed futures)	Flexible strategies using leverage and derivatives; can go short

Why invest in alternatives at all? Two reasons: (1) diversification — alternatives tend to have low correlations with stocks and bonds, so adding them reduces portfolio volatility; (2) return premium — you get compensated for the illiquidity and complexity with higher expected returns. But watch out: correlations spike during crises, precisely when diversification is most needed.

The Five Structural Features of Alternatives Critical

Feature	Why It Exists	Consequence for Investors
Specialized manager knowledge	Assets are complex, non-standard	High management fees are justified (or at least charged)
Low correlations with traditional assets	Different return drivers (illiquidity, private markets)	Diversification benefit — but correlations rise in crises
Asset illiquidity	Assets don't trade on public markets	Long lockup periods; investors need patience and deep pockets
Long time horizons	Value creation takes years (restructuring companies, growing crops)	Investors must commit capital for 7–12 years in PE
Large minimum investments	Only accredited/sophisticated investors	Accessible mainly to institutions and HNWIs

Three Access Methods: Fund vs Co-invest vs Direct Critical

Fund Investing

Pool your capital with others. A professional manager selects, manages, and exits investments. You pay management + incentive fees but have no control. Best for investors without in-house expertise.

Co-Investing

You invest in the fund AND get the right to invest directly alongside the manager in specific deals. Lower overall fees. Lets you build skills toward direct investing. Manager benefits: more capital deployed.

Direct Investing

You buy assets yourself — no outside manager, no management fees, full control. Requires specialist in-house team. Less diversified. Higher minimum investment per asset. Used by sovereign wealth funds, large pensions.

Which to Choose?

No expertise → Fund investing. Want to learn and reduce fees → Co-investing. Large institution with specialist team → Direct investing.

🎯 Likely Exam Question

An investor wants to gain exposure to private equity but lacks the in-house expertise to evaluate individual deals. The most appropriate access method is:

Answer: Fund investing. With fund investing, the due diligence on individual portfolio companies is performed by the fund manager. Direct investing and co-investing require the investor to conduct its own deal-by-deal evaluation.

Limited Partnership Structure Critical

Most alternative funds are structured as limited partnerships. Know every piece:

Party	Role	Liability	Key Point
General Partner (GP)	Fund manager — makes all investment decisions	Unlimited — bears all partnership debt	Also invests own money to align interests
Limited Partners (LPs)	Investors — provide capital, no management role	Limited to their investment amount	Accredited investors only; commit capital upfront but draw down over time
Committed Capital	Total amount LPs agree to invest	—	Not all invested immediately — GP calls capital as needed
Dry Powder	Committed but not yet invested capital	—	The "ammunition" available to invest

Why is management fee based on committed capital (not invested) for private equity? Because if it were based on invested capital, the GP would have an incentive to deploy capital rapidly rather than selectively. Basing fees on the full commitment penalises slow deployment less — aligning the GP toward quality over speed.

Fee Structures — The Most-Tested Mechanics Critical

Fee Basis

Hedge Fund management fee: % of AUM (assets under management — NAV)
Private Equity management fee: % of COMMITTED capital (not invested capital)

Performance fee (incentive fee / carried interest): % of profits
Usually: 20% of profits for PE; 20% of gains for HF
Always subject to hurdle rate and high-water mark provisions

Hurdle Rate: Hard vs Soft

Type	How It Works	Example (8% hurdle, 20% perf fee, 12% return)
Soft hurdle	Once return exceeds hurdle, performance fee is on the entire return	Perf fee = 20% × 12% = 2.4%
Hard hurdle	Performance fee only on gains above the hurdle rate	Perf fee = 20% × (12% − 8%) = 20% × 4% = 0.8%
Catch-up clause	LPs get hurdle first; GP then "catches up" to 20% of total, then splits 80/20	8% to LPs; next 2% to GP (GP now has 20% of first 10%); remaining 2% split 80/20 → GP: 2% + 80%×0% = 2%

Hard vs Soft hurdle: hard hurdle favours the investor (fee only on excess gains). Soft hurdle favours the GP (fee on the total return once hurdle is exceeded). A catch-up clause is functionally similar to a soft hurdle — the LP gets the hurdle rate first, then the GP catches up to its target carry percentage before further gains are shared.

High-Water Mark

The high-water mark (HWM) is the highest net-asset-value previously recorded for the fund. No performance fee is paid until the fund exceeds its HWM. This prevents the GP from earning fees on gains that merely offset previous losses.

If the fund was worth $110M last year (HWM = $110M) and dropped to $90M, then recovered to $105M, no performance fee is paid yet — the fund hasn't cleared the $110M HWM. Only gains above $110M will trigger a performance fee. Different investors have different HWMs because they invested at different times.

Waterfall — Deal-by-Deal vs Whole-of-Fund Critical

Structure	Also Called	How It Works	Who Benefits?
Deal-by-deal waterfall	American waterfall	Performance fee paid on each profitable deal as it is exited, even if other deals in the fund lose money	GP — gets paid early on winners before losers are realised
Whole-of-fund waterfall	European waterfall	LPs receive 100% of invested capital + hurdle rate back first; then GP receives its carry	LP — gets all capital returned before GP earns carry

A clawback provision protects LPs in a deal-by-deal (American) waterfall. If early wins generate carry that later losses reverse, the LP can claw back the excess carry already paid. Without a clawback, the GP keeps the carry on early wins even if the fund net return is negative.

📊 Worked Example — Waterfall & Clawback

Fund invests $100M in Deal A (sold for $130M: +$30M) and $100M in Deal B (liquidated for $80M: −$20M). Net gain = $10M. Performance fee = 20%.

American (deal-by-deal): Fee on Deal A = 20% × $30M = $6M. No fee on Deal B (loss). Total carry paid = $6M. But net fund gain is only $10M → GP earned 60% of gains. Without clawback: LP receives $200M invested + $10M − $6M = $204M (net return 2%).

European (whole-of-fund): Fee = 20% × $10M = $2M. LP receives $200M + $10M − $2M = $208M (net return 4%).

With clawback (American): After Deal B, LP claws back $4M of the $6M paid. Net carry = $2M. Same result as European waterfall.

🎯 Likely Exam Question

For an investor in a private equity fund, which waterfall structure is most advantageous?

Answer: European (whole-of-fund) waterfall. LPs receive their invested capital plus the hurdle rate back first, before the GP earns any carry. The American (deal-by-deal) waterfall is most advantageous to the GP because carry can be paid on individual winning deals before the overall fund result is known. A clawback provision can partially offset this disadvantage.

Side Letters and Key LP Protections

Side letters: Private agreements between the GP and specific LPs that modify the partnership terms for that investor only (e.g., lower fees, more transparency, excusal rights)
Most-favoured-nation (MFN) clause: LP requires that any better terms offered to other LPs also apply to them
Excusal right: LP's right to withhold a capital contribution that the GP would otherwise require (e.g., due to ESG conflicts)
Master limited partnership (MLP): Publicly traded limited partnership — most common in natural resources and real estate

Reading 77

Alternative Investment Performance and Returns

How to measure returns that have irregular cash flows, leverage, and complex fees — and how those measures can be gamed.

🗺 Big Picture

Alternative investment returns are hard to measure because: cash flows are lumpy and irregular; assets may not have market prices; fees are multi-layered; and the reported data suffers from systematic biases. Understanding the J-curve, IRR, MOIC, fair value levels, and bias types is essential for exam success.

The J-Curve Effect Critical

Alternative investment funds — especially private equity — go through three phases, and the return profile creates a characteristic "J" shape over the fund's life:

Phase	What Happens	Returns
1. Capital Commitment	GP identifies deals, makes capital calls from LPs. No investments producing income yet. Management fees charged immediately.	Negative — fees paid, no returns yet
2. Capital Deployment	Capital invested in portfolio companies. Early-stage companies not yet profitable; turnarounds still being restructured.	Negative/breakeven — investments made but not yet delivering
3. Capital Distribution	Portfolio companies exit via IPO, trade sale, etc. Capital + profits returned to LPs.	Strongly positive — the "hockey stick" at the end of the J

The J-curve is why alternatives require patience. Early investors see negative returns (like paying for a restaurant before the food arrives), then positive returns arrive in a rush at the end. This is also why you should compare funds of the same "vintage year" — a fund in Year 2 and a fund in Year 8 will show wildly different returns even if both are equally good.

Because the GP controls the timing of capital calls and distributions, money-weighted return (IRR) is the appropriate performance measure — it accounts for the timing and magnitude of all cash flows. Time-weighted return (used for traditional funds) would not be appropriate here.

IRR vs MOIC — Two Ways to Measure Success Critical

Key Return Metrics

IRR (Money-Weighted Rate of Return): Solves for r in NPV = 0 IRR accounts for TIMING of cash flows MOIC (Multiple of Invested Capital) = Total Capital Returned / Total Capital Invested MOIC does NOT account for timing — a "naive" but intuitive check Example: Fund returns $200M on $100M invested over 5 years MOIC = 200/100 = 2.0× (doubled the money) IRR ≈ 15% per year (exact calculation requires cash flow timing)

MOIC ignores time. A 2× MOIC over 3 years is excellent; a 2× MOIC over 10 years is mediocre. IRR captures this distinction. Exam questions will sometimes present a high MOIC with a long time horizon to trick you into thinking performance is good — always ask how long it took.

🎯 Likely Exam Question

A private equity fund invested $50M and returned total distributions of $115M over a 7-year period. Calculate the MOIC and state the limitation of this measure.

MOIC = $115M / $50M = 2.3×. The fund returned 2.3 times the invested capital. Limitation: MOIC does not account for the timing of cash flows. $115M returned in Year 1 would represent a much higher IRR than $115M returned in Year 7. Comparing MOIC across funds with different investment periods can be misleading.

The Effect of Leverage on Returns Critical

Leveraged Return Formula

Leveraged Return = r + (V_B / V_0) × (r − r_B) Where: r = portfolio return (on total assets) r_B = cost of borrowing V_B = value of borrowed capital V_0 = value of investor's equity If r > r_B: leverage amplifies gains ✓ If r < r_B: leverage amplifies losses ✗

Think of leverage like buying a house: you put 20% down, borrow 80%. If the house rises 10%, your equity return is 50% (the gain on the full property divided by your small equity stake). But if the house falls 10%, your equity is wiped out. Hedge funds and private equity use exactly this logic — borrow cheap, invest at higher returns, pocket the spread.

🎯 Likely Exam Question

A fund invests $100M of equity and borrows $50M at 4%. The total $150M portfolio earns a 9% return. What is the leveraged return on the equity investment?

Portfolio return = 9% × $150M = $13.5M
Borrowing cost = 4% × $50M = $2M
Return to equity = $13.5M − $2M = $11.5M
Leveraged return = $11.5M / $100M = 11.5%
(vs. 9% unleveraged — leverage added 2.5 percentage points because r = 9% > r_B = 4%)

Fair Value Hierarchy — Valuation of Illiquid Assets

Alternative investments often involve assets with no observable market prices. Accounting standards require fair value, but what exactly "fair value" means depends on data quality:

Level	Inputs Used	Examples	Reliability
Level 1	Quoted prices in active markets	Exchange-traded stocks, listed bonds	Highest — observable market prices
Level 2	Observable inputs, not direct quotes	Many OTC derivatives (priced via models using market rates)	Medium — model-dependent but observable inputs
Level 3	Unobservable inputs — management assumptions	Private equity holdings, real estate, illiquid real assets	Lowest — largely subjective

Level 3 assets are where bias hides. Because these assets are rarely revalued (no market transactions), their book values may be stale. This makes reported volatility appear lower than it truly is, reported correlations with other assets appear lower, and reported Sharpe ratios appear higher. Reported alternative investment returns are structurally biased upward by Level 3 valuation smoothing.

Fee Calculations — Worked Example Critical

📊 Worked Example — Hedge Fund Fees (2 & 20 with Soft Hurdle + HWM)

Setup: Fund starts at $110M. Management fee = 2% of beginning AUM. Performance fee = 20% of gains net of mgmt fee, with 5% soft hurdle and high-water mark.

Year 1 (AUM rises to $100.2M before fees):

Mgmt fee = 2% × $110M = $2.2M

Net return after mgmt fee = ($100.2M − $2.2M − $110M) / $110M = −10.9% → below hurdle, NO performance fee

Year-end NAV = $100.2M − $2.2M = $98.0M (HWM remains $110M)

Year 2 (AUM rises to $119M before fees):

Mgmt fee = 2% × $98M = $1.96M

NAV net of mgmt fee = $119M − $1.96M = $117.04M

Gains above HWM ($110M): $117.04M − $110M = $7.04M → return = 6.4% > 5% soft hurdle

Performance fee = 20% × $7.04M = $1.41M (soft hurdle → fee on full gain above HWM, not just excess)

Total fees Year 2 = $1.96M + $1.41M = $3.37M → Year-end NAV = $119M − $3.37M = $115.63M

Year 2 return after fees = ($115.63M − $98M) / $98M = 18.0%

Biases in Alternative Investment Performance Data

Bias	Mechanism	Effect on Reported Returns
Survivorship bias	Only surviving (successful) funds remain in databases; failed funds are excluded	Overstates returns — the failures are hidden
Backfill bias	When a fund is added to an index, its historical returns are backfilled — but only successful funds choose to be included	Overstates returns — losing history selectively excluded
Selection bias	Funds self-select into databases; index providers may assign categories inconsistently	Distorts return and correlation estimates
Stale pricing bias	Level 3 assets not marked to market frequently	Understates volatility and correlations; overstates Sharpe ratios

Survivorship bias is especially severe for hedge funds — estimates suggest over 25% fail within the first 3 years. A database that excludes these failures will dramatically overstate expected returns. The effect of backfill bias is cumulative with survivorship bias because failed funds never get their bad years backfilled either.

Lockup Periods and Redemption Restrictions

Lockup period: Time after investing during which redemptions are not permitted (or incur heavy fees)
Notice period: 30–90 days advance warning required before redemption — allows orderly position reduction
Gate: A temporary restriction on redemptions (e.g., max 25% of fund AUM per quarter) — prevents a "run on the fund"
Founders class shares: Better terms (lower fees, shorter lockups) offered to early investors as incentive to commit capital at inception

🎯 Likely Exam Question

A hedge fund has a 1-year lockup period and a 90-day notice period. An investor who invested 6 months ago wants to redeem immediately. What restrictions apply?

The investor cannot redeem yet — the lockup period prevents redemption during the first 12 months of investment. Even after the lockup expires, the investor must give 90 days' notice before the fund is required to process the redemption. This prevents forced liquidation of illiquid positions.

Reading 78

Investments in Private Capital: Equity & Debt

From seed-stage startups to leveraged buyouts — the full spectrum of private capital, how it works, and how to exit.

🗺 Big Picture

Private capital means providing funding to companies outside the public markets. The two main flavours are private equity (you own a piece of the company) and private debt (you lend money to the company). Private equity itself splits between venture capital (funding young, risky companies) and leveraged buyouts (acquiring mature companies with lots of debt). Understanding the continuum of risk/return — from senior direct lending at the bottom to early-stage VC at the top — is the key to this reading.

Private Equity — Two Key Strategies Critical

Leveraged Buyout (LBO)

Target: Mature, cash-generative companies

Structure: Acquire using 60–80% debt; private equity provides the rest as equity

Value creation: Improve operations, cut costs, grow revenue, use cash flows to pay down debt (deleveraging)

Exit: IPO, trade sale, or secondary sale in ~5 years

Venture Capital (VC)

Target: Early-stage companies with high growth potential but unproven business models

Structure: Equity stake (common equity, convertible preferred, or convertible debt)

Value creation: VC investors sit on boards, provide mentorship, make introductions

Exit: IPO or acquisition in 5–10 years

LBOs are like buying a rental property with a mortgage — you use leverage to acquire a cash-flowing asset, use the rental income to pay the mortgage, and eventually sell at a profit. VCs are like angel-funding a startup — high risk, high reward, long wait.

VC Investment Stages — A Must-Know Sequence Critical

Stage	Company Status	Investor Type	Use of Funds
Pre-seed / Angel	Idea only; no product, no revenue	Individual angels, not VC funds	Business plan, market research
Seed capital	Product concept; needs development	VC funds typically start here	Product development, initial marketing
Early-stage / Start-up	Product exists; start of commercial production and sales	VC funds	Fund operations, ramp up sales
Later-stage / Expansion	Revenue growing; needs capital for rapid growth	VC funds, growth equity	Expand production, enter new markets
Mezzanine stage	Preparing for IPO	VC funds, mezzanine investors	Pre-IPO preparations (not mezzanine debt — different use of the word)

There are two uses of the word "mezzanine" in private capital: (1) Mezzanine-stage financing = the stage of VC investing just before an IPO. (2) Mezzanine debt = subordinated debt sitting between senior secured and equity in the capital structure, often with warrants or conversion features. They sound the same but mean very different things. The exam will test this distinction.

Private Equity Exit Strategies

Exit Method	Description	Pros / Cons
Trade sale	Sell to a strategic buyer (competitor, supplier) via direct sale or auction	✓ Strategic buyer pays synergy premium; ✓ fast; ✗ management may resist; ✗ few bidders
IPO	List shares on public exchange via underwriters	✓ Typically highest price; ✓ raises new capital; ✗ high cost; ✗ complex compliance; ✗ market risk
Direct listing	Shares listed without underwriters; existing shares sold directly	✓ Lower cost than IPO; ✗ no new capital raised
SPAC	Shell company raises capital via IPO, then acquires a private company	✓ Flexible; ✓ speed; ✗ dilution risk; ✗ SPAC sponsor conflicts; ✗ increasing regulatory scrutiny
Secondary sale	Sell to another PE firm or group of investors	✓ Private, no market uncertainty; ✗ no premium from public markets
Recapitalization	Portfolio company borrows to pay a dividend to PE fund; fund retains ownership	✓ Extracts cash without full exit; ✗ company takes on more debt; ✗ not a true exit
Write-off / Liquidation	Investment fails; take the loss and move on	✗ Loss of capital; "the price of learning"

🎯 Likely Exam Question

A private equity firm sells one of its portfolio companies to a competitor in the same industry. This exit method is best described as a:

Trade sale. A trade sale involves selling a portfolio company to a strategic buyer — typically a competitor, supplier, or customer who values the company for operational synergies rather than purely financial returns. This is distinct from a secondary sale (to another PE firm) or a public listing (IPO/direct listing).

Private Debt — Five Categories Critical

Type	Description	Risk Level	Key Feature
Direct lending	Loans made directly to private companies by a fund; no bank intermediary	Low-medium	Senior, secured; covenants protect lender
Venture debt	Debt to early-stage (VC-backed) companies not yet profitable	High	Often includes warrants; founders keep control
Mezzanine debt	Subordinated debt below senior secured; above equity	Medium-high	Often has warrants/conversion rights to compensate for extra risk
Distressed debt	Debt of financially troubled companies (near bankruptcy or in default)	High	Fund often takes active role in restructuring the company
Unitranche debt	Blended single loan combining secured and unsecured tranches	Medium	Single rate reflecting the blend; between senior and subordinated in priority

Risk-Return Spectrum of Private Capital

Type	Risk	Expected Return
Infrastructure debt	Lowest	Lowest
Senior direct lending	Low	Low-medium
Senior real estate debt	Low-medium	Medium
Unitranche debt	Medium	Medium
Mezzanine debt	Medium-high	Medium-high
LBO / Buyout equity	High	High
VC / Early-stage equity	Highest	Highest

Diversification and Vintage Year Considerations

Private capital correlations with public equity indexes range from 0.63 to 0.83 — significant but not complete. Key insight: diversify across vintage years.

Vintage Year Phase	Best Strategy to Invest In	Logic
Economic expansion	Early-stage / VC companies	High growth environment benefits young companies the most
Economic contraction / recession	Distressed debt funds	Cheap prices on troubled companies; restructuring value is unlocked in recovery

Reading 79

Real Estate and Infrastructure

Two asset classes that offer stable income, inflation protection, and diversification — but require understanding of risk tiers and access structures.

🗺 Big Picture

Real estate and infrastructure share a common DNA: large, long-lived assets that generate relatively stable income streams. Both can be accessed directly (owning property/roads) or indirectly (REITs, ETFs, MLPs). The key exam skill is ranking them on the risk-return spectrum: for real estate it's debt → core → core-plus → value-add → opportunistic; for infrastructure it's secondary-stage brownfield → brownfield → greenfield.

Real Estate — The Four-Quadrant Framework Critical

	Private Market	Public Market
Equity	Direct property ownership, limited partnerships, joint ventures	Equity REITs, real estate company stocks, real estate ETFs
Debt	Individual mortgages, private real estate–backed loans	RMBS, CMBS, mortgage REITs, mortgage ETFs

The quadrant tells you about two independent dimensions: (1) are you an owner or a lender? (equity vs debt) and (2) is your investment tradeable? (public vs private). A mortgage REIT is public + debt: it lends money to property owners and its shares trade on exchanges. A private limited partnership is private + equity: you own property through a fund but can't sell your stake easily.

Direct vs Indirect Real Estate Investment

Direct Investment

Pros: Full control over decisions (buy/sell/renovate/tenant selection); tax benefits (depreciation deductions); diversification vs stocks/bonds

Cons: Illiquid; operationally complex; requires expertise; high minimum capital; concentrated (few properties)

REITs (Indirect)

Pros: Liquid (exchange-traded); professional management; diversified across many properties; exempt from double taxation; low minimum investment

Cons: Higher correlation with equity market than direct RE; no control; management fees reduce returns

REITs are exempt from double taxation (they pass income directly to shareholders who pay tax once). This is a key advantage vs corporations that pay corporate tax + shareholder tax. Also: REITs are exchange-traded so they do NOT face redemption/liquidation risk (unlike open-end mutual funds). These two facts are frequently tested.

REIT Investment Strategy Risk Spectrum Critical

Know this hierarchy from lowest to highest risk:

Strategy	Risk	Return Character	Fund Structure
First mortgage debt / CMBS	Lowest	Bond-like (fixed income)	—
Core	Low	Bond-like (stable rental income from quality properties)	Open-end (indefinite life)
Core-plus	Low-medium	Slightly more equity-like (modest redevelopment)	Closed-end
Value-add	Medium-high	Equity-like (significant redevelopment)	Closed-end
Opportunistic	Highest	Equity-like (distressed, speculative, large-scale)	Closed-end

Core and core-plus REITs typically use open-end fund structures (investors can enter/exit at any time — like an open-end mutual fund). Riskier strategies (value-add, opportunistic) use closed-end structures because they need committed capital for longer periods to execute multi-year redevelopment plans.

🎯 Likely Exam Question

Rank the following from least to most risky: (A) First mortgage on a commercial property, (B) Core-plus real estate strategy, (C) Opportunistic real estate strategy, (D) Core real estate strategy.

Answer: A → D → B → C.
First mortgage (A) is senior debt — least risky. Core (D) is next — stable, quality properties with bond-like returns. Core-plus (B) involves some redevelopment risk. Opportunistic (C) involves large-scale redevelopment, distressed properties, or speculation — highest risk.

Infrastructure — Greenfield vs Brownfield Critical

Type	Definition	Risk	Return Pattern	Example
Secondary-stage brownfield	Fully operational, established infrastructure	Lowest	Stable, predictable cash flows	Existing toll road generating steady tolls
Brownfield	Existing infrastructure being expanded or privatised	Medium	Stable-to-growing cash flows; some construction risk	Privatisation of a public utility
Greenfield	New infrastructure to be built from scratch	Highest	Negative early (construction); positive and growing later	New airport, new toll road, renewable energy plant

Brownfield is like buying a house that's already standing — you know what you're getting. Greenfield is like buying vacant land and building from scratch — you bear all the construction risk and the uncertainty of whether people will actually use it when it's done.

Infrastructure Cash Flow Types

Availability payments: Government pays for making infrastructure available (e.g., a prison that government uses)
Usage-based payments: Revenue depends on actual usage (e.g., toll road — demand risk exists)
Take-or-pay: Buyer must pay a minimum volume regardless of actual usage — provides revenue floor

Demand-based infrastructure (usage fees) is riskier than availability-based (government pays regardless of usage). The riskiest greenfield projects are those with uncertain future demand (e.g., new rail lines). The safest infrastructure is secondary-stage with availability payments or take-or-pay contracts.

🎯 Likely Exam Question

Which infrastructure investment is most likely to offer the highest expected return: (A) first-lien mortgage on an existing toll road, (B) equity in a new airport in a developed country, or (C) equity in a new passenger rail line in a developing country?

Answer: (C). Highest risk = highest expected return. A new (greenfield) passenger rail in a developing country combines construction risk, demand uncertainty, and emerging market risk — the full risk trilogy. (A) is debt in a brownfield (lowest risk). (B) is greenfield equity in a developed market (medium risk).

Infrastructure Risks to Know

Regulatory risk: Government can change pricing rules, tariffs, or operating requirements
Construction risk: Greenfield projects may run over budget or be delayed
Operational risk: Ongoing risk of operations once built
Financial leverage risk: Infrastructure is often heavily debt-financed
Demand risk: Especially for usage-based payment models

Infrastructure debt tends to be safer than infrastructure equity. Long-term infrastructure equity investors benefit from low correlation with public markets, inflation-linked revenues, and long-duration cash flows that match liability profiles of pension plans and life insurers.

Reading 80

Natural Resources

Farmland, timberland, and commodities — real assets whose returns are driven by physical supply, demand, and the cost of carrying inventory.

🗺 Big Picture

Natural resources are unique in that their returns are driven by the physical world: weather, geology, geopolitical supply shocks. The most exam-heavy concept is commodity futures pricing — specifically contango vs backwardation and what each means for long-only investors. Farmland and timberland also appear, with their distinctive risk/return and the key "optionality" feature of timberland.

Farmland vs Timberland — Key Contrasts Critical

Feature	Farmland	Timberland
Typical investor	Individuals / families	Institutions (large lot sizes)
Expertise required	Less specialised	More specialised — TIMOs (Timberland Investment Management Organisations)
Harvest flexibility	None — crops must be harvested when ready	High — trees can be held and harvested when prices are favourable
Financing	Bank loans, private debt; newer REITs available	Bank loans, private debt; few public vehicles
Return drivers	Crop prices, land appreciation, rental income	Timber prices, land appreciation, carbon credits
ESG relevance	Agricultural land consumes carbon → attractive for ESG investors	Forests sequester carbon → very attractive for ESG/climate investors

Timberland's harvest flexibility is a real option with significant economic value: the investor can delay cutting trees when lumber prices are low and harvest when prices are high. Farmland does NOT have this option — crops must be harvested when mature or they spoil. This is one reason timberland can outperform on a risk-adjusted basis.

Commodities — Methods of Exposure

You can gain commodity exposure through:

Physical ownership: Buy and store the actual commodity (gold bars, grain silos) — incurs storage costs
Futures and derivatives: Most common method — no storage, leveraged, liquid; futures trade on exchanges (no counterparty risk)
ETFs / ETNs: Exchange-traded products that hold physical commodities or futures — accessible to retail investors
Managed futures / CTAs: Actively managed funds trading commodity futures; can be LP-structured or mutual fund–structured
Commodity producer equity: Buy shares in oil companies, miners, etc. — indirect exposure mixed with company-specific risk

Commodity Futures Pricing — Contango vs Backwardation Critical

Commodity Futures Pricing Formula

Futures Price ≈ Spot Price × (1 + Risk-free rate) + Storage costs − Convenience yield Or more simply: Futures Price = Spot Price + Net Cost of Carry Net Cost of Carry = Storage costs + Finance cost − Convenience yield When Net Cost of Carry > 0: Futures > Spot → CONTANGO When Net Cost of Carry < 0: Futures < Spot → BACKWARDATION

Term	Condition	Futures vs Spot	Effect on Long-Only Investors
Contango	Low/zero convenience yield; storage costs dominate; commodity readily available	Futures price > Spot price	Negative roll yield — as futures approach expiry, price must fall to spot → investors lose on rollover
Backwardation	High convenience yield; commodity in short supply; immediate delivery is valuable	Futures price < Spot price	Positive roll yield — as futures approach expiry, price must rise to spot → investors gain on rollover

Convenience yield is the non-monetary benefit of physically having the commodity available right now. Think of it as the insurance premium of holding oil in your own tank. If oil is scarce, refineries will pay a premium for immediate delivery (high convenience yield → backwardation). If oil is plentiful and storage is cheap, the future is worth more than today's price because of financing costs (low convenience yield → contango). Oil futures typically trade in contango during glut periods (like 2020).

Long-only commodity investors WANT backwardation (positive roll yield = extra return as expiring futures rise toward spot). They SUFFER in contango (negative roll yield = futures fall toward spot on expiry, creating a drag). The exam will test whether you know which direction benefits or harms the long investor — it's counterintuitive at first because you'd think cheaper futures = good for buyers, but the roll dynamic reverses this.

🎯 Likely Exam Question

A commodity's spot price is $50. Storage costs are $2 per year, and the risk-free rate is 3%. The convenience yield is $8 per year. Is the commodity likely in contango or backwardation? What is the impact on a long-only investor?

Net cost of carry = Storage ($2) + Finance (3% × $50 = $1.50) − Convenience yield ($8) = −$4.50 (negative)

Negative net cost of carry → Backwardation (futures price < spot price).

For a long-only investor: Positive roll yield — as the futures contract approaches expiry, the futures price rises toward the spot price, generating a gain upon rolling. Long-only investors benefit from backwardation.

Why Commodities in a Portfolio?

Inflation hedge: Commodity prices have positive correlation with inflation — when inflation rises, commodity returns tend to rise too. Unlike stocks and bonds (which suffer in high inflation), commodities protect purchasing power.
Diversification: Historically low correlation with global equity and bond returns
Geopolitical sensitivity: Supply shocks (wars, sanctions) hit commodity prices first — exposure provides a geopolitical hedge
Weather sensitivity: Agricultural commodities are highly weather-dependent, which is uncorrelated with financial market risk

Commodity returns have HIGH volatility but LOW correlation with traditional assets. Net effect: adding commodities to a traditional portfolio reduces overall portfolio variance even though commodities themselves are volatile. This is the power of low correlation in portfolio construction.

Reading 81

Hedge Funds

Private pooled vehicles with maximum strategy flexibility — using long/short positions, leverage, and derivatives across every asset class.

🗺 Big Picture

Hedge funds are not a single strategy — they are a legal structure (private limited partnership) with flexible mandates. The key exam areas are: the four strategy categories (equity hedge, event-driven, relative value, opportunistic), the three sources of return (market beta, strategy beta, alpha), fund structures (master-feeder vs SMA), and the biases that distort performance data.

What Makes a Hedge Fund Different? Critical

Feature	Hedge Funds	Mutual Funds / ETFs	Private Equity
Regulation	Light — lightly regulated	Heavy — publicly regulated	Light
Trading	Public/private, long/short, derivatives, leverage	Mostly long-only, public markets	Illiquid private companies
Liquidity	Periodic redemptions (with lockups)	Daily (open-end) or intraday (ETF)	Very illiquid; 7–12 year horizon
Time horizon	Short to medium (months to years)	Continuous	Long (5–10+ years)
Fees	High: "2 and 20" (mgmt + incentive)	Low: typically <1%	High: "2 and 20" on committed capital
Transparency	Low — strategies are proprietary	Daily holdings disclosed (ETFs)	Limited reporting

Four Hedge Fund Strategy Categories Critical

1. Equity Hedge Strategies

Take long and short positions in equities and equity derivatives. Goal: generate alpha while managing or eliminating market beta exposure.

Sub-strategy	Approach	Net Exposure
Fundamental long/short	Long undervalued stocks, short overvalued stocks	Net long bias
Fundamental growth	Long high-growth companies, short low/no growth	Net long bias
Fundamental value	Long cheap stocks, short expensive stocks	Net long bias
Market neutral	Equal long and short positions to eliminate market beta	Zero net exposure; uses leverage for return
Short bias	Predominantly short overvalued stocks; contrarian	Net short — profits in market downturns

2. Event-Driven Strategies

Profit from corporate events that create pricing anomalies. Typically long-biased.

Sub-strategy	Trade Idea	Key Risk
Merger arbitrage	Long target company (which trades below acquisition price), short acquirer	Deal falls apart — "deal break" risk
Distressed / restructuring	Buy securities of companies in bankruptcy at a discount; profit from recovery	Restructuring fails; recovery worse than expected
Activist shareholder	Buy enough equity to influence strategy (restructuring, dividend, sale)	Management resists; activism fails to unlock value
Special situations	Invest around spinoffs, buybacks, asset sales, capital distributions	Transaction doesn't materialise as expected

3. Relative Value Strategies

Buy a security and short a related security, profiting when the pricing discrepancy is resolved. Less directional exposure — profit from spreads, not market direction.

Convertible arbitrage: Long convertible bond, short the underlying equity; exploit mispricing between the two
Fixed income arbitrage: Exploit yield spreads between related bonds (e.g., similar maturities, different issuers)
Multi-strategy: Exploit discrepancies across asset classes simultaneously

4. Opportunistic / Macro Strategies

Top-down, macro-driven bets on economies, currencies, interest rates, and commodities. High conviction, large positions.

Global macro: Long/short positions in currencies, equities, bonds, or commodities based on economic forecasts. Benefits from heightened volatility around central bank decisions, elections, crises.
Managed futures / CTAs: Systematic or discretionary trading of commodity and financial futures. Note: commodity prices have a self-correcting price mechanism (high prices → less demand → lower prices), unlike equities.

🎯 Likely Exam Question

A hedge fund manager buys convertible bonds issued by a company and simultaneously sells short shares of the same company's common stock. This strategy is best described as:

Convertible arbitrage, which is a type of relative value strategy. The fund is exploiting the pricing discrepancy between the convertible bond (which has embedded equity-like optionality) and the underlying common equity. The short position in the stock hedges the equity component of the convertible, leaving the fund exposed to the mispricing spread between the two securities.

Three Sources of Hedge Fund Return Critical

Return Decomposition

Total HF Return = Market Beta + Strategy Beta + Alpha Market beta = return earned from broad market exposure (anyone can get this via index fund) Strategy beta = return from exposure to specific sector/factor (e.g., value premium, credit spread) Alpha = return from superior manager skill — security selection, timing Hedge funds use LEVERAGE to magnify strategy beta and alpha High fees act as a DRAG that erodes the alpha delivered to investors

The whole justification for a hedge fund's high fees is alpha — pure skill-based return that can't be replicated by passive investing. But if you decompose a hedge fund's return and most of it is market beta (which you could get for 5 bps in an index ETF) and strategy beta (which you could get from factor ETFs), then the "2 and 20" fee is wildly expensive for what you're actually getting. This is the core critique of hedge funds.

Fund Structures: Master-Feeder vs SMA

Master-Feeder Structure

Two feeder funds (offshore + onshore) flow capital into a master fund that makes all investments. Tax-efficient; bypasses some regulatory requirements; economies of scale. Standard structure for large institutional hedge funds with global investors.

Separately Managed Account (SMA)

Custom portfolio for a single large investor. Pros: tailored to investor's risk/return objectives, negotiated lower fees. Cons: manager has no stake so incentive alignment is weaker; receives only manager's most liquid trades; requires more operational oversight.

Fund-of-Funds — Extra Layer, Extra Cost

A fund-of-funds (FoF) invests in multiple hedge funds. Advantages: diversification across strategies; manager expertise in selecting funds; access to otherwise unavailable funds; shorter lockups. Disadvantages: double fee layer (typically "1 and 10" on top of underlying fund fees of "2 and 20").

Fund-of-funds charges a fee ON TOP of the fees charged by the underlying hedge funds. If the underlying funds charge "2 and 20" and the FoF charges "1 and 10", an investor is paying a 3% management fee AND both performance fee layers. This double fee structure dramatically reduces net returns. Despite this, FoFs persist because they offer diversification and access for investors who cannot meet direct hedge fund minimums.

Performance Biases in Hedge Fund Indexes

All alternative investment performance biases apply, but they are especially severe for hedge funds:

Survivorship bias: 25%+ of hedge funds fail within 3 years — excluded from most indexes
Backfill bias: Funds with good track records voluntarily enter databases, then backfill historical returns — only winners self-select
Selection bias: Index providers assign categories inconsistently
Stale pricing: Illiquid hedge fund holdings may not be marked to market, understating true volatility

Net effect of all biases: hedge fund index returns are overstated and volatility is understated. The reported Sharpe ratio of hedge funds is too high. Investors who rely on index data for performance expectations will be systematically disappointed. The reported low correlations with traditional assets are partly an artifact of stale pricing.

Reference

Master Formula Sheet — Alternative Investments

Every formula and key calculation across all six readings.

Formula / Rule	Description	Reading
Mgmt Fee (HF) = AUM × mgmt rate	Hedge fund management fee on net asset value	76
Mgmt Fee (PE) = Committed Capital × mgmt rate	Private equity fee on committed (not invested) capital	76
Perf Fee (soft hurdle) = rate × Total Return	Once hurdle is cleared, fee on the whole return	76
Perf Fee (hard hurdle) = rate × (Return − Hurdle)	Fee only on excess above hurdle rate	76
MOIC = Total Capital Returned / Total Capital Invested	Money multiple; ignores timing of cash flows	77
IRR: solve NPV = 0	Money-weighted return; accounts for timing; most appropriate for alt investments	77
Leveraged Return = r + (V_B/V_0) × (r − r_B)	Return on equity with leverage; amplifies both gains and losses	77
After-fee Return = (End Value − Fees) / Begin Value − 1	Net investor return after management + performance fees	77
Futures Price = Spot + Net Cost of Carry	Commodity futures pricing	80
Net Cost of Carry = Storage + Finance − Convenience yield	Net cost: positive → contango; negative → backwardation	80
Contango: Futures > Spot (NCoCy > 0)	Negative roll yield for long-only investors	80
Backwardation: Futures < Spot (NCoC < 0)	Positive roll yield for long-only investors	80
American waterfall perf fee = 20% × each deal gain	Deal-by-deal; pays GP early; favours GP	76
European waterfall: LPs first receive capital + hurdle	Whole-of-fund; favours LPs	76
Clawback: LP recovers excess carry if subsequent losses reverse gains	Protects LPs in American waterfall structures	76

Reference

Master List of Common Exam Traps

The mistakes candidates make most often — know these cold.

R76 — Management fee basis: Hedge fund fees = % of AUM (NAV). Private equity fees = % of COMMITTED capital (not invested capital, not NAV). The exam will frequently swap these.

R76 — Hard vs soft hurdle: Hard hurdle = fee only on EXCESS above hurdle. Soft hurdle = fee on TOTAL return once hurdle is cleared. Hard hurdle is better for the investor. Soft hurdle can produce much higher fees on the same return.

R76 — American vs European waterfall: American (deal-by-deal) favours the GP. European (whole-of-fund) favours the LP. A clawback provision limits GP advantage in American waterfalls.

R77 — IRR vs MOIC: High MOIC over a long period may represent poor IRR. A 2× MOIC in 3 years (IRR ≈ 26%) is far better than 2× over 10 years (IRR ≈ 7%). Never compare MOICs without knowing the holding period.

R77 — J-curve timing: Positive returns come in the CAPITAL DISTRIBUTION phase (Phase 3), not early. J-curve returns are negative in Phases 1 and 2. Comparing funds of different ages is meaningless without adjusting for lifecycle phase.

R77 — Level 3 valuations: Stale Level 3 values make alternative investments appear LESS volatile and LESS correlated with traditional assets than they truly are. This is why diversification benefits of alternatives are often overstated in the data.

R78 — VC first invests at seed stage: Angel/pre-seed investing is done by individuals, not VC funds. VC funds typically begin investing at the seed stage. The exam will test whether you correctly place VC fund entry.

R78 — Mezzanine confusion: "Mezzanine-stage financing" = timing of VC investment before IPO. "Mezzanine debt" = subordinated debt with equity-like features. These are completely different concepts using the same word. Context determines meaning.

R79 — REIT double-taxation exemption: REITs pass income directly to shareholders, avoiding corporate-level tax. This is a key structural advantage. REITs are also exchange-traded and therefore immune to redemption runs (unlike open-end mutual funds).

R79 — Infrastructure risk ranking: Secondary-stage brownfield (least risky) → brownfield → greenfield (most risky). Demand-based payment (usage fees) > availability payments in risk. The exam loves asking you to rank these.

R80 — Contango vs backwardation and long investors: Backwardation = GOOD for long-only investors (positive roll yield). Contango = BAD for long-only investors (negative roll yield). This is backwards from intuition ("cheap futures should be good for buyers") — the roll dynamic is the key insight.

R80 — Timberland harvest flexibility: Only TIMBERLAND has the optionality to delay harvest. Farmland crops must be harvested when ready. This fundamental difference affects risk/return and is a favourite exam distinction.

R81 — Convertible arbitrage is RELATIVE VALUE, not event-driven: Students often misclassify convertible arbitrage. It is a relative value strategy (exploiting the spread between the convertible and the underlying equity). Merger arbitrage is event-driven.

R81 — Hedge funds magnify strategy beta and alpha with leverage — NOT market beta: Hedge funds seek to REDUCE or ELIMINATE market beta exposure through short positions. They use leverage to amplify the alpha and strategy beta that remain. If a fund earns only market beta, the high fees are unjustified.

R81 — Fund-of-funds fees: FoFs charge fees ON TOP of underlying fund fees. The total fee burden is substantial. Despite this, FoFs provide diversification, manager selection expertise, and access for investors who cannot meet single-fund minimums.