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Lesson 4 of 4 6–9% of the exam

Hedge fund returns: market beta, strategy beta, alpha and diversification

A hedge fund's return splits into market beta (available cheaply through index funds), strategy beta (paid for by the strategy's systematic exposures) and alpha (manager skill). Fees eat into alpha, indexes overstate results, and while hedge funds diversify bonds well, their correlation with equities is fairly high.

6 min cram, 26 min full read. Based on the 2027 CFA® Program Level I curriculum, Alternative Investments, Learning Module 6. Also part of the 2026 curriculum, so it applies to the November 2026 exam too.

Tailor this to you: take the self-assessment

Before this: Hedge fund strategies: equity, event-driven, relative value, opportunistic, Fund of funds fees, survivorship bias and backfill bias

On the exam

  • Analyze sources of risk, return, and diversification among hedge fund investments

Analyze sources of risk, return and diversification. Expect to identify the three return sources, back out alpha from a return and two beta contributions, name an index bias, and state the correlation of hedge funds with equities and bonds.

How deeply to learn each part
Know the idea
Understand it in general. It frames other topics, but you will not calculate with it.
Use it
Understand it well enough to solve a question with it. Recognize when it applies.
Memorize
Learn it by heart. The exam will not give it to you.

You know this one. The full lesson is folded away. The takeaways, formulas and checkpoint below are your quick refresher, and the checkpoint is a fair test of whether you still do.

You tested strong here. The full lesson is folded away. The takeaways, formulas and checkpoint below are your quick refresher, and the checkpoint is a fair test of whether you still know it.

Cram mode: the one-screen version of this lesson. Switch to Full for the explanations, worked examples and interactives.

Where does a hedge fund’s return come from?

Traditional long-only funds earn most of their return by bearing market risk. Hedge funds try to limit market exposure and earn idiosyncratic return , return specific to the positions the manager picks. Their return splits into three sources.

Where a hedge fund's return comes from
Hedge fund returntotal return before fees
  • Market beta Memorize broad market exposure; an index fund delivers it cheaply
  • Strategy beta Memorize systematic return of the strategy itself, such as merger spreads or trends
  • Alpha Memorize manager skill: security selection and timing; fees reduce it

Market beta is the broad market exposure you could buy with an index fund or exchange-traded fund (ETF). Strategy beta is the systematic return that comes from the hedge fund’s strategy applied across the market, such as merger spreads or trend following. Alpha is what is left: the return from the manager’s choice of positions and timing. Leverage can amplify all three.

Hedge fund alpha Use it
α=R−βRM−S\alpha = R - \beta R_M - S

Here RR is the fund’s return, βRM\beta R_M the market beta contribution (the fund’s beta times the market return) and SS the return attributed to strategy beta.

Rearrange itHedge fund alpha: solve for any input
The question asks for
A fund returns 9.00%. Its beta to equities is 0.3 and equities returned 10.00%. Its strategy beta explains another 2.50%. The alpha is closest to:

9.00% − 0.3 × 10.00% − 2.50% = 3.50%

Alpha, α3.50%

On your calculator
  1. 0.3×10=STO1
  2. 9−RCL1−2.5=3.5

STO store · RCL recall a stored number

  1. 9ENTER0.3ENTER10×−2.5−3.5

ENTER enter (on the HP, puts the number on the stack)

InteractiveWhere a hedge fund's return comes from

Try this 0 of 3

  • Charge 2 and 20 on the worked example
  • Find a fund whose betas explain more than its whole return
  • Set the equity beta to zero

Fees

0%Before fees3.0%2.5%3.5%
  • Market beta: an index fund, for a few basis points
  • Strategy beta: a low-cost strategy or liquid alternative fund
  • Alpha: only the manager's skill
Alpha3.50%
Market beta3.00%
Strategy beta2.50%
Return you could buy cheaply5.50%

Only 3.5% of the 9.0% is alpha (39% of the return). The other 5.5% is beta.

Show working

Market beta = beta × equity return = 0.3 × 10.0% = 3.00%

Alpha = fund return − market beta − strategy beta = 9.0% − 3.00% − 2.5% = 3.50%

Alpha on your calculator
  1. 0.3×10=3, market beta
  2. +2.5=5.5, both betas
  3. +|-+9=3.5, alpha in %

+|- change sign

  1. 9ENTER0.3ENTER10×3, market beta
  2. −2.5−3.5, alpha in %

ENTER enter (on the HP, puts the number on the stack)

Pay hedge fund fees only for the part of the return you cannot buy cheaply.

Does alpha survive the fees?

Hedge funds charge high fees, and fees come out of alpha. The investor does not receive the full return.

Alpha after fees Use it
αnet=α−m−p R\alpha_{net} = \alpha - m - p\,R
Go deeper Strategy beta and alternative risk premia

Because strategy beta is systematic, it can in principle be captured by rules-based products at a fraction of hedge fund fees. This is the idea behind alternative risk premia funds, which sell exposures such as trend, carry and merger spreads cheaply. The more of a hedge fund’s return that such a product can match, the less of it is true alpha.

How reliable are hedge fund index numbers?

Hedge fund indexes are built from data that managers report voluntarily, so they probably overstate performance. Three problems matter.

Why hedge fund indexes mislead
Hedge fund index problemsreporting is voluntary, so performance is likely overstated
  • Selection bias Memorize only funds that choose to report get in; peer groups and inclusion rules inconsistent
  • Survivorship bias Memorize funds that stop reporting drop out; returns overstated
  • Backfill bias Memorize a good fund joins and its past is added; returns overstated
  • Equal weighting Use it most indexes ignore fund size
  • Lag and no investability Know the idea published late; cannot be bought

Selection bias arises because only the funds that choose to report are in the index, and a fund with poor results has little reason to start reporting, so it is never added. Funds are also placed in strategy peer groups inconsistently (by prospectus, by style analysis, or both), and indexes use different inclusion rules. Survivorship bias arises when funds that stop reporting, often after poor results, are removed, leaving the survivors. Backfill bias arises when a successful fund starts reporting and its earlier record is added to the index database; only funds with favorable histories tend to be reported.

Most indexes also use equal weighting , so a small fund counts as much as a large one, and the data are published with a lag of about a month. The indexes are not investable. A fund-of-funds composite index avoids part of the distortion because it reflects the actual results of portfolios of hedge funds, and it is closer to investable. Its returns lean toward long/short equity funds, which are a large part of fund-of-funds holdings.

Exam tip Failed funds vanish, good histories arrive, and all funds weigh the same: the index return is too high.

Do hedge funds diversify a portfolio?

Hedge funds seek idiosyncratic outperformance rather than the market’s return. Their correlation with equities and bonds shows what that means in practice. Correlation with investment-grade bonds has been low. Correlation with equities has been fairly high, and in some periods it has risen. They do not behave like a free-standing asset class that moves on its own.

Strategy matters. Market-neutral, relative value and event-driven strategies tend to do relatively well in equity downturns and when correlations among individual stocks fall. They lag when stocks all rise together, because mispricings between stocks are harder to find.

Adding hedge funds to a traditional 60/40 portfolio has typically lowered portfolio volatility and raised the Sharpe ratio. This is the Sharpe ratio improvement investors seek, but it varies over time, so manager due diligence still matters. Quality funds attracted institutions after the 2008 crisis, which demanded more transparency and control, while many weaker funds lagged equity and bond markets.

Go deeper Operational due diligence and fraud

Light regulation and large minimum investments leave room for misreporting, and some funds have been frauds or run complex strategies that failed in turmoil. Careful investors examine the fund’s service providers, valuation process, reporting practices and fee calculations. Alpha that cannot be verified is not worth paying for.

Memorize this

MemorizeReturn sources and index biases

ItemMeaningDirection
Market betaindex-fund exposurecheap to buy
Strategy betasystematic strategy returncheaper than alpha
Alphamanager skillreduced by fees
Selection biaspoor funds never report; inconsistent classification and inclusionoverstates
Survivorship biasfailed funds drop outoverstates
Backfill biasgood history added on joiningoverstates

Memory hook Return = market beta + strategy beta + alpha. Alpha is the leftover, so work out the betas first.

Know it cold Indexes overstate returns. Fund-of-funds composite indexes reduce the distortion and are closer to investable.

MemorizeDiversification facts

Memory hook Bonds: low. Equities: fairly high. Not zero.

Know it cold Correlation with investment-grade bonds is low, with equities fairly high. Market-neutral, relative value and event-driven funds tend to hold up in equity downturns and when stock correlations fall. Adding hedge funds to a 60/40 portfolio has typically lowered volatility and raised the Sharpe ratio; the benefit varies over time.

Where a hedge fund's return comes from
Hedge fund returntotal return before fees
  • Market beta Memorize broad market exposure; an index fund delivers it cheaply
  • Strategy beta Memorize systematic return of the strategy itself, such as merger spreads or trends
  • Alpha Memorize manager skill: security selection and timing; fees reduce it
Why hedge fund indexes mislead
Hedge fund index problemsreporting is voluntary, so performance is likely overstated
  • Selection bias Memorize only funds that choose to report get in; peer groups and inclusion rules inconsistent
  • Survivorship bias Memorize funds that stop reporting drop out; returns overstated
  • Backfill bias Memorize a good fund joins and its past is added; returns overstated
  • Equal weighting Use it most indexes ignore fund size
  • Lag and no investability Know the idea published late; cannot be bought
Hedge fund alpha Use it
α=R−βRM−S\alpha = R - \beta R_M - S
Quick example

A fund returns 15%. Its beta to equities is 0.4, equities returned 12%, and strategy beta explains 4%. α=15−0.4×12−4=\alpha = 15 - 0.4 \times 12 - 4 = 6.2%.

On your calculator
  1. 0.4×12=STO1 4.8
  2. 15−RCL1−4= 6.2

STO store · RCL recall a stored number

  1. 15ENTER0.4ENTER12×−4− 6.2

ENTER enter (on the HP, puts the number on the stack)

Alpha after fees Use it
αnet=α−m−p R\alpha_{net} = \alpha - m - p\,R
Quick example

Alpha before fees is 7%, the fund returned 13%, and fees are a 1% management fee plus 20% of the return, calculated independently. αnet=7−1−0.20×13=\alpha_{net} = 7 - 1 - 0.20 \times 13 = 3.4%.

On your calculator
  1. 13×0.2=STO1 2.6
  2. 7−1−RCL1= 3.4

STO store · RCL recall a stored number

  1. 13ENTER0.2×STO1 2.6
  2. 7ENTER1−RCL1− 3.4

ENTER enter (on the HP, puts the number on the stack) · STO store · RCL recall a stored number

How it is asked

  1. Back out alpha

    Fund returns 13%. Market beta explains 5%, strategy beta 2%. Alpha?

    13 − 5 − 2 = 6%. Traps: 7% (the two betas added) and 11% (only strategy beta removed).

  2. Correlation facts

    Hedge fund correlation with bonds and equities historically...

    Low with bonds, fairly high with equities.

  3. Name the bias

    Why is a weak hedge fund unlikely ever to enter an index? Why do index returns jump when a strong fund joins?

    Never enters: selection bias (it chooses not to report). Joins with its history: backfill bias. Dropped after it stops reporting: survivorship bias.

  4. Direction of index bias

    Survivorship bias makes an index return...

    Too high. Trap: understated.

Exam traps

  • Calling all of a hedge fund's return alpha. Market beta and strategy beta come first.
  • Assuming hedge funds have low correlation with equities for every strategy. The overall correlation is fairly high.
  • Saying survivorship bias understates index returns. It overstates them.
  • Ignoring fees: alpha before fees can be partly or wholly paid away.
  • Assuming adding hedge funds always helps. The benefit varies over time and with manager quality.

Checkpoint

7 exam-style questions. About 90 seconds each.

  1. 1The part of a hedge fund's return that an investor could obtain cheaply through an index fund is:

  2. 2A fund returns 11%. Market beta explains 4% and strategy beta 3%. The alpha is closest to:

  3. 3Historically, hedge fund returns have shown:

  4. 4A fund returned 12%. Its beta to equities is 0.5 and equities returned 8%. Its strategy beta explains a further 3%. The fund's alpha is closest to:

  5. 5A fund returned 14% before fees. Its beta to equities is 0.6, equities returned 10%, and strategy beta explains 3%. Fees are a 1.5% management fee plus 20% of the return, calculated independently. The alpha after fees is closest to:

  6. 6Compared with the average of all hedge funds that ever existed, a hedge fund index that removes funds once they stop reporting will most likely report returns that are:

  7. 7Adding an allocation to hedge funds to a traditional 60/40 portfolio has typically:

Key takeaways

  • Return = market beta + strategy beta + alpha; only alpha is manager skill.
  • Indexes overstate returns through selection, survivorship and backfill bias, and equal weighting distorts them further.
  • Correlation is low with investment-grade bonds and fairly high with equities; the diversification benefit varies over time.
  • Fees reduce alpha, so pay for the part of the return you cannot buy cheaply.
Hedge fund alpha Use it
α=R−βRM−S\alpha = R - \beta R_M - S
Quick example

A fund returns 15%. Its beta to equities is 0.4, equities returned 12%, and strategy beta explains 4%. α=15−0.4×12−4=\alpha = 15 - 0.4 \times 12 - 4 = 6.2%.

On your calculator
  1. 0.4×12=STO1 4.8
  2. 15−RCL1−4= 6.2

STO store · RCL recall a stored number

  1. 15ENTER0.4ENTER12×−4− 6.2

ENTER enter (on the HP, puts the number on the stack)

Alpha after fees Use it
αnet=α−m−p R\alpha_{net} = \alpha - m - p\,R
Quick example

Alpha before fees is 7%, the fund returned 13%, and fees are a 1% management fee plus 20% of the return, calculated independently. αnet=7−1−0.20×13=\alpha_{net} = 7 - 1 - 0.20 \times 13 = 3.4%.

On your calculator
  1. 13×0.2=STO1 2.6
  2. 7−1−RCL1= 3.4

STO store · RCL recall a stored number

  1. 13ENTER0.2×STO1 2.6
  2. 7ENTER1−RCL1− 3.4

ENTER enter (on the HP, puts the number on the stack) · STO store · RCL recall a stored number

All Alternative Investments formulas, every lesson

Practice exam-style questions on Hedge Funds

Questions about this lesson?

Where this comes back

Questions candidates ask

What is the difference between alpha and beta in hedge funds?

Beta is return from market or strategy exposure. Market beta can be bought cheaply in an index fund, and strategy beta comes from the strategy's systematic exposures. Alpha is the remainder from manager skill, and fees reduce it.

Do hedge funds diversify a portfolio?

They have low correlation with investment-grade bonds and fairly high correlation with equities. Adding them to a 60/40 portfolio has typically lowered volatility and raised the Sharpe ratio, though the benefit varies over time and by manager.

Why are hedge fund indexes biased?

Reporting is voluntary. Selection bias, survivorship bias (failed funds drop out) and backfill bias (good history added on joining) all push reported returns up. Most indexes are also equal weighted and published with a lag.

Spotted an error? Tell us and we will fix it.

  1. What a hedge fund is, and how it differs from other funds
  2. Hedge fund strategies: equity, event-driven, relative value, opportunistic
  3. How to invest in hedge funds: master-feeder, SMAs, funds of funds
  4. Hedge fund returns: market beta, strategy beta, alpha and diversification

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