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.
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.
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.
- 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.
Here is the fund’s return, the market beta contribution (the fund’s beta times the market return) and the return attributed to strategy beta.
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%
- 0.3×10=STO1
- 9−RCL1−2.5=3.5
STO store · RCL recall a stored number
- 9ENTER0.3ENTER10×−2.5−3.5
ENTER enter (on the HP, puts the number on the stack)
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
- 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
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%
- 0.3×10=3, market beta
- +2.5=5.5, both betas
- +|-+9=3.5, alpha in %
+|- change sign
- 9ENTER0.3ENTER10×3, market beta
- −2.5−3.5, alpha in %
ENTER enter (on the HP, puts the number on the stack)
Does alpha survive the fees?
Hedge funds charge high fees, and fees come out of alpha. The investor does not receive the full return.
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.
- 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
| Item | Meaning | Direction |
|---|---|---|
| Market beta | index-fund exposure | cheap to buy |
| Strategy beta | systematic strategy return | cheaper than alpha |
| Alpha | manager skill | reduced by fees |
| Selection bias | poor funds never report; inconsistent classification and inclusion | overstates |
| Survivorship bias | failed funds drop out | overstates |
| Backfill bias | good history added on joining | overstates |
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.
- 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
- 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
Quick example
A fund returns 15%. Its beta to equities is 0.4, equities returned 12%, and strategy beta explains 4%. 6.2%.
- 0.4×12=STO1 4.8
- 15−RCL1−4= 6.2
STO store · RCL recall a stored number
- 15ENTER0.4ENTER12×−4− 6.2
ENTER enter (on the HP, puts the number on the stack)
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. 3.4%.
- 13×0.2=STO1 2.6
- 7−1−RCL1= 3.4
STO store · RCL recall a stored number
- 13ENTER0.2×STO1 2.6
- 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
-
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).
-
Correlation facts
Hedge fund correlation with bonds and equities historically...
Low with bonds, fairly high with equities.
-
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.
-
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.
1The part of a hedge fund's return that an investor could obtain cheaply through an index fund is:
2A fund returns 11%. Market beta explains 4% and strategy beta 3%. The alpha is closest to:
3Historically, hedge fund returns have shown:
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:
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:
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:
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.
Quick example
A fund returns 15%. Its beta to equities is 0.4, equities returned 12%, and strategy beta explains 4%. 6.2%.
- 0.4×12=STO1 4.8
- 15−RCL1−4= 6.2
STO store · RCL recall a stored number
- 15ENTER0.4ENTER12×−4− 6.2
ENTER enter (on the HP, puts the number on the stack)
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. 3.4%.
- 13×0.2=STO1 2.6
- 7−1−RCL1= 3.4
STO store · RCL recall a stored number
- 13ENTER0.2×STO1 2.6
- 7ENTER1−RCL1− 3.4
ENTER enter (on the HP, puts the number on the stack) · STO store · RCL recall a stored number
Questions about this lesson?
Where this comes back
- Digital Assets Alternative Investments
- Portfolio Risk and Return: Part II (CAPM and Performance Measures) Portfolio Construction
- Portfolio Risk and Return: Part I Portfolio Construction
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.
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