factor investing with etfs
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Factor Investing with ETFs. Samuel Lee, ETF Strategist. Outline. Model-based investing 101 Factor-based view of the world Practical factor investing Presenter: Alex Bryan Parting thoughts Shameless product pitch. Why go quant?. Human foibles. Overconfidence - PowerPoint PPT PresentationTRANSCRIPT
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© 2012 Morningstar, Inc. All rights reserved.
Factor Investing with ETFs
× Samuel Lee, ETF Strategist
2
Outline
× Model-based investing 101× Factor-based view of the world× Practical factor investing
× Presenter: Alex Bryan× Parting thoughts
× Shameless product pitch
3
Why go quant?
Human foibles
× Overconfidence× Most people think they’re above-average
drivers, lovers, socializers, workers, etc.× Privilege vivid, resonant ideas and thoughts over
statistical facts× Over-reliant on narrative thinking
4
Models usually beat intuition
× Paul Meehl, “Clinical vs. Statistical Prediction: A Theoretical Analysis and a Review of the Evidence”, 1954
× Found that in 20 studies, overall simple models beat trained experts
× William Grove, et. al., “Clinical Versus Mechanical Prediction: A Meta-Analysis”, 2000
× Of 136 studies, 46% favored models, 48% tied, 6% favored humans
× Philip Tetlock, “Expert Political Judgment”, 2006× 20-year forecasting study on 300 experts;
simple prediction models won.
5
Imitating the best
× Top investors are model-driven.× Warren Buffett: buy when price < intrinsic
value with margin of safety× Jeremy Grantham: buy when current
valuation < historical averages× Ray Dalio: Economy is a transaction-based
machine driven by short-term debt cycle, long-term debt cycle, productivity growth
× Jim Simons: ??? Black box models
6
7
On data-mining/data-snooping
Data-snooping
× Definition: Testing many different models to obtain a desired outcome.
8
The problem with science as practiced
× Many studies turn out to be false.× John P.A. Ioannidis, “Why Most Published
Research Findings are False”, 2005× Argues current study methodologies don’t
have enough statistical power and are biased to false positives.
× Pharma giant Bayer couldn’t replicate 2/3rds of 67 studies it tried to replicate (2011)
× Amgen couldn’t replicate more 90+% of 53 “landmark” papers in cancer research (2012)
9
Skewed incentives
× Publication bias: Statistically significant positive findings more likely to be published.
× Encourages data-snooping by researchers to get published.
10
Quantitative strategies: witchcraft?
× Even worse incentives to data-snoop.× Joel M. Dickson, et. al., “Joined at the Hip: ETF
and Index Development”, 2012× Back-tested equity indexes beat U.S.
market 12.25% annualized in back-tests, returned -0.26% annualized live.
11
Here’s a back-test from 1997-2006 showing 10% ann. alpha
12
1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 20060%
50%
100%
150%
200%
250%
300%
350%
400%
DWA Technical Leaders Index S&P 500
Here’s subsequent live performance for the index
13
Apr-07Jun-07Aug-07Oct-07Dec-07Feb-08Apr-08Jun-08Aug-08Oct-08Dec-08Feb-09Apr-09Jun-09Aug-09Oct-09Dec-09Feb-10Apr-10Jun-10Aug-10Oct-10Dec-10Feb-11Apr-11Jun-11Aug-11Oct-11Dec-11Feb-12Apr-12Jun-12Aug-12Oct-12Dec-12Feb-13Apr-13Jun-13Aug-13
-60%
-40%
-20%
0%
20%
40%
60%
PowerShares DWA Technical Leaders S&P 500
Hallmarks of a good back-test
× From most to least important:× Strong economic intuition× Intellectually honest source. Credibility!× Simple and transparent methodology.× Large sample size that spans many
decades and many countries.× Economically and statistically significant
results.× Then find multiple independent researchers
coming to the same conclusion!
14
Academia has a decent record in producing models
× R. David McLean and Jeffrey Pontiff, "Does Academic Research Destroy Stock Return Predictability“, 2013.
× Independently replicated 82 characteristics purported to predict stock returns.
× Of 72 that could be replicated, returns after study on average decayed 35%--10% from statistical bias, 25% from arbitrage.
15
The big two, value and momentum
× Value – Tendency for stocks cheap by fundamental measures to outperform stocks expensive by such measures.
× Usually defined as having low price/book. Low price/earnings, price/cashflow, price/sales and the like also work.
× Momentum – Tendency for performance to persist.
× Relative momentum assets are ones with highest relative 12-month returns.
× Time-series momentum assets have positive 12-month returns.
16
How a value strategy usually works
× Define a universe of stocks.× Calculate a valuation ratio, most commonly
price/book, for each stock.× Sort stocks.× Select a basket of the “cheapest”.× Hold for one year and repeat.
17
18
Source: French Data Library
1926
1929
1932
1935
1938
1941
1944
1947
1950
1953
1956
1959
1962
1965
1968
1971
1974
1977
1980
1983
1986
1989
1992
1995
1998
2001
2004
2007
2010
0.1
1
10
100
1000
10000
100000
Hi 30 Med 40 Lo 30
Lo 30Med 40 Hi 30
Ann. Return 9.19%
10.20%
12.44%
Std. Dev.18.81
%20.24
%25.49
%Sharpe 0.30 0.33 0.35
High book/price (value) stock portfolios have outperformed
How a stock-based momentum strategy usually works
× Define a universe of stocks.× Calculate past return, usually 12 months,
excluding the last month.× Sort stocks.× Select a basket of the highest-return.× Hold for one month and repeat.
19
20
1927
1931
1935
1939
1943
1947
1951
1955
1959
1963
1967
1971
1975
1979
1983
1987
1991
1995
1999
2003
2007
2011
0.01
0.1
1
10
100
1000
10000
100000
High Med Low
Low Med HighAnn. Return 2.44% 8.35%
13.13%
Std. Dev.29.74
%20.10
%20.41
%Sharpe -0.04 0.24 0.47
High momentum stock portfolios have outperformed
Source: French Data Library
Why believe these back-tests?
× Strong economic intuition.× Value effect: Investors overextrapolate
recent trends, leading to stocks overshooting to up or downside.
× Momentum effect: Investors underreact to new information, and herd into same stocks/positions.
× Identified by numerous credible and independent researchers.
× Simple and transparent methodology.× Found in almost every country studied (except for
Japan).× Statistically and economically significant.
21
22
The factor-model view of the world
What is a factor?
× A characteristic that explains an asset's returns.
× Risk factors:× Market/economic growth× Inflation× Duration× Illiquidity
× Behavioral “factors”:× Value?× Momentum
23
Factors : assets :: nutrients : foods
× In factor theory, an asset’s expected returns are derived wholly from its exposure to various risk factors.
× Assets are bundles of factors.× Risk factors represent unique and different kinds
of “bad times.”
24
Junk bonds stripped of interest-rate risk behave like stocks
25
Dec-99May
-00Oct-
00Mar-
01Au
g-01Jan
-02Jun
-02Nov
-02Ap
r-03Sep
-03Feb
-04Jul-04Dec-
04May
-05Oct-
05Mar-
06Au
g-06Jan
-07Jun
-07Nov
-07Ap
r-08Sep
-08Feb
-09Jul-09Dec-
09May
-10Oct-
10Mar-
11Au
g-11Jan
-12Jun
-12Nov
-12
-70%
-60%
-50%
-40%
-30%
-20%
-10%
0%
10%
High yield minus Treasury, volatility-scaled S&P 500 minus risk-free
What is a (linear) factor model?
× A theory about what explains an asset’s returns× Usually takes the form of a linear relationship
26
r=𝛼+𝛽1 𝑓 1+…+𝛽𝑘 𝑓 𝑘+𝜀
Original factor model: CAPM
× Asset’s expected returns determined by its covariance with market.
where is the expected return of the asset, is the risk-free (cash) rate, is the asset’s beta to the market, and is the market return
27
Lots of strict assumptions
× Everyone rational× Risk averse× No one can influence prices× No transaction costs× Everything tradable× Investors only care about return and standard
deviation× Everyone agrees on correlations, expected
returns of all assets× One period× Investors can lend and borrow at risk-free rate
28
Implications
× All investors would own market portfolio.× Only differences are portion of cash + market
portfolio + leverage.× Market portfolio is “mean-variance efficient”—no
other combination can produce a superior risk-adjusted return
29
Linear regression
Date Mkt-RFFMAGX-RF
May-03 6.05 4.33Jun-03 1.42 1.01Jul-03 2.34 1.25
Aug-03 2.34 1.59Sep-03 -1.23 -1.56Oct-03 6.08 4.81Nov-03 1.35 0.37Dec-03 4.3 5.15Jan-04 2.15 1.21Feb-04 1.4 1.36Mar-04 -1.33 -1.35Apr-04 -1.83 -1.78
May-04 1.18 0.99Jun-04 1.86 1.38Jul-04 -4.07 -4.01
… … …
30
× Statistical procedure to estimate linear relationship between two sets of data.
× Often interpreted as cause-effect relationship: x causes y.
× CAPM is based on simple linear regression!
× Example: How well does the market’s monthly excess return predict Fidelity Magellan’s FMAGX excess return?
31
-20 -15 -10 -5 0 5 10 15
-25
-20
-15
-10
-5
0
5
10
15
20
Market-RF Return
FMA
GX
-RF
Mon
th R
etur
n
Fidelity Magellan versus market, April 2003-March 2013
CAPM regression
× Model parameters (betas) cannot be directly observed. They must be estimated.
× CAPM regression:
Where is a variable representing the excess return of the asset at time , is the intercept, is the asset’s estimated beta to the market, is the market’s excess return, and is a noise term.
32
Abbreviated Excel Output
33
SUMMARY OUTPUT
Regression StatisticsMultiple R 0.96R Square 0.92Adjusted R Square 0.92Standard Error 1.50Observations 119
Coefficie
ntsStandard Error t Stat
P-value
Intercept -0.35 0.14 -2.55 0.01Mkt-RF 1.16 0.03 36.54 0.00
CAPM doesn’t work!
× Black, Jensen, Scholes, “The Capital Asset Pricing Model: Some Empirical Tests”, 1972.
× Created portfolios of stocks sorted by CAPM beta.
× Found that CAPM beta did not predict excess returns linearly, i.e., securities market line was too flat.
× Low-volatility anomaly: Higher beta != higher returns
34
Multi-factor models
× Fama-French model: Added “size” and “value” to CAPM.
× Fama and French argued size and value predicted and explained stock returns.
× Carhart model: Added “momentum” to Fama-French model.
× Jegadeesh and Titman “discovered” momentum effect. Carhart added it to FF.
35
Carhart model
× CAPM plus three new “factors”: value, size and momentum:
Where (or “high minus low”) is the return of the value-factor-mimicking portfolio, (or “small minus big”) is the return of the size-factor-mimicking portfolio, and (“up minus down”) is the return of the momentum-factor-mimicking portfolio.
36
Splitting the equity universe by size and value
37
Small value
Small neutral
Big growthSmall growth
Big neutral
Big valueMedian market cap
70th B/P percentile
30th B/P percentile
× Portfolios are intersections of size and value breakpoints, formed yearly at June end.
× Market-cap breakpoint determined at June end.× B/P breakpoint determined previous fiscal year book/end of last
year market-cap—can be up to 1.5 years stale!
Size factor construction
× SMB, or small minus big, is the average return of three small portfolios minus average return of three big portfolios.
38
Value factor construction
× HML, or high minus low, is the average return of two value portfolios minus the average return of two growth portfolios.
39
Splitting the universe by size and momentum
40
Small up
Small medium
Big downSmall down
Big medium
Big upMedian market cap
70th prior (2-12) percentile
30th prior (2-12) percentile
× Portfolios are intersections of size and momentum breakpoints, formed monthly.
× Market-cap breakpoint determined at June end.× Prior 2-12 returns are the 12-month returns of stocks, excluding
most recent month.
Momentum factor construction
× UMD, or up minus down, is the average return of two winner portfolios minus the average return of two loser portfolios.
41
Momentum is the strongest; size is the weakest
42
Dec-26Au
g-29Ap
r-32Dec-
34Au
g-37Ap
r-40Dec-
42Au
g-45Ap
r-48Dec-
50Au
g-53Ap
r-56Dec-
58Au
g-61Ap
r-64Dec-
66Au
g-69Ap
r-72
Dec-74Au
g-77Ap
r-80Dec-
82Au
g-85Ap
r-88Dec-
90Au
g-93Ap
r-96Dec-
98Au
g-01Ap
r-04Dec-
06Au
g-09Ap
r-12
0.1
1
10
100
1000
SMB HML UMDSMB HML UMDAnn. Ret. 2.28% 4.13% 6.85%Std. Dev. 11.33%12.30%16.52%Sharpe 0.20 0.34 0.41
Source: French Data Library
Carhart Regression Results for FMAGX
SUMMARY OUTPUT
Regression StatisticsMultiple R 0.96R Square 0.93Adjusted R Square 0.92Standard Error 1.45Observations 119
Coeffici
entsStandard Error t Stat
P-value
Intercept -0.32 0.14 -2.40 0.02Mkt-RF 1.18 0.04 31.38 0.00SMB -0.03 0.07 -0.43 0.67HML -0.20 0.06 -3.28 0.00UMD -0.04 0.03 -1.28 0.20
43
Factor models raise the benchmark for active managers
× A manager’s excess returns attributable to a factor is no longer “alpha”
× Studies demonstrating active managers can’t outperform use factor models
× Factor models have a hard time detecting statistically sig. alpha
× Factor research is ongoing
44
Quality/profitability
× Firms with high profits, low leverage, low earnings variability, high payouts persistently outperform
× “Gross profitability” defined as (revenues – cost of goods sold)/assets
× Robert Novy-Marx, “The Other Side of value: The Gross Profitability Premium”, 2013
× Gross profitability is strong as value factor, but negatively related.
45
Splitting the equity universe by size and gross profitability
46
Small profitable
Small neutral
Big unprofitableSmall unprofitable
Big neutral
Big profitableMedian market cap
70th GP/A percentile
30th GP/A percentile
× Portfolios are intersections of size and profitability breakpoints, formed yearly at June end.
× Market-cap breakpoint determined at June end.× GP/A breakpoint determined previous fiscal year book/end of last
year market-cap—can be up to 1.5 years stale!
Profitability factor construction
× PMU, or profitable minus unprofitable, is the average return of two profitable portfolios minus the average return of two unprofitable portfolios.
47
Quality stocks took a beating after the Nifty Fifty craze
48
Jun-63Nov
-64Ap
r-66Sep
-67Feb
-69Jul-70Dec-
71May
-73Oct-
74Mar-
76Au
g-77Jan
-79Jun
-80Nov
-81Ap
r-83Sep
-84Feb
-86Jul-
87Dec-
88May
-90Oct-
91Mar-
93Au
g-94Jan
-96Jun
-97Nov
-98Ap
r-00Sep
-01Feb
-03Jul-04Dec-
05May
-07Oct-
08Mar-
10Au
g-11
0.1
1
10
PMUPMU
Ann. Ret. 3.87%Std. Dev. 7.92%Sharpe 0.49
Source: Robert Novy-Marx Data Library
At what price quality
× Jeremy Siegel, “Valuing Growth Stocks: Revisiting the Nifty Fifty”, 1998
× Argues high-quality “Nifty Fifty” stocks of early 1970s warranted high valuations
49
Ann. Return.
1972 Actual P/E
Warranted P/E
EPS Growth
Rebalanced 12.5% 41.9 40.6 11.0%Non-Rebalanced 12.2% 41.9 38.4 11.0%S&P 500 12.7% 18.9 18.9 8.0%
GMO Quality III GQETX Regression Results, 3/03-12/12
SUMMARY OUTPUT
Regression StatisticsMultiple R 0.94R Square 0.89Adjusted R Square 0.89Standard Error 1.15Observations 106
Coefficien
tsStandard
Error t Stat P-valueIntercept -0.01 0.11 -0.11 0.91Mkt-RF 0.85 0.03 25.63 0.00SMB -0.32 0.06 -5.54 0.00HML -0.09 0.05 -1.84 0.07UMD 0.05 0.02 2.04 0.04PMU 0.24 0.06 3.86 0.00 50
Jensen Quality Growth JENSX Regression Results, 9/93-12/12
51
SUMMARY OUTPUT
Regression StatisticsMultiple R 0.89R Square 0.79Adjusted R Square 0.78Standard Error 1.82Observations 232
Coefficie
ntsStandard
Error t Stat P-valueIntercept -0.01 0.13 -0.05 0.96Mkt-RF 0.81 0.03 27.10 0.00SMB -0.14 0.04 -3.58 0.00HML 0.12 0.04 3.03 0.00UMD 0.01 0.02 0.29 0.77PMU 0.18 0.05 3.35 0.00
Low-volatility factor, or betting against beta
× Low-volatility stocks outperform high-volatility stocks on a risk-adjusted basis.
× Andrea Frazzini, Lasse Pedersen, “Betting Against Beta”, 2011
× Low-beta stocks outperform high-beta stocks on risk-adjusted basis
× Same found in Treasury bonds, corporate bonds, international markets
52
Betting against beta factor construction
× A little more complicated!× Estimate rolling volatilities of stock and market w/
1-year daily returns× Estimate rolling correlation of stock and market
w/ 5-year daily returns× Estimate beta, and shrink beta est. to 1× Rank stocks and sort stocks into two high and low
beta (above and below median)× Weight by rank and rescale long/short legs to be
beta neutral× Recalculate monthly
53
Betting against beta has been eerily profitable
54
3/1/19
29
8/1/19
31
1/1/19
34
6/1/19
36
11/1/1
938
4/1/19
41
9/1/19
43
2/1/19
46
7/1/19
48
12/1/1
950
5/1/19
53
10/1/1
955
3/1/19
58
8/1/19
60
1/1/19
63
6/1/19
65
11/1/1
967
4/1/19
70
9/1/19
72
2/1/19
75
7/1/19
77
12/1/1
979
5/1/19
82
10/1/1
984
3/1/19
87
8/1/19
89
1/1/19
92
6/1/19
94
11/1/1
996
4/1/19
99
9/1/20
01
2/1/20
04
7/1/20
06
12/1/2
008
5/1/20
110.1
1
10
100
1000
BABBAB
Ann. Ret. 8.10%Std. Dev. 10.75%Sharpe 0.75
Source: Lasse H. Pedersen Data Library
Berkshire Hathaway’s 13F portfolio, 1980-2011
Ann. Alpha 5.30% 3.50% 0.30%
-2.53 -1.65 -0.12MKT 0.86 0.86 0.98
-21.55 -21.91 -20.99SMB -0.18 -0.18 0.00
-3.14 -3.22 -0.02HML 0.39 0.24 0.31
-6.12 -3.26 -4.24UMD -0.02 -0.08 -0.10
-0.55 -1.98 -2.66BAB 0.22 0.15
-4.05 -2.58QMJ 0.44
-4.55R2 0.57 0.58 0.60
55
Source: Andrea Frazzini, David Kabiller, Lasse H. Pedersen, “Buffett’s Alpha”, working paper, Aug. 18, 2013
Caveats
× Obtaining full factor exposures is impossible× Transaction costs will eat away much of excess
returns× Once discovered, factor strategies often not as
profitable× A factor can go for many years without paying off
56
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© 2012 Morningstar, Inc. All rights reserved.
Practical Factor Investing
× Alex Bryan, Fund Analyst
Agenda
× How to use factor models × Demonstration
× Factor investing × Investment ideas
× ETF momentum strategies
58
How to Use Factor Models
59
× Step 1: Download monthly (total) return data for the fund of interest
× At least five years of history × Step 2: Go to the French Data Library
http://mba.tuck.dartmouth.edu/pages/faculty/ken.french/data_library.html
× Step 3: If this analysis is for a U.S. fund, click on the first Fama/French Factors link (under U.S. Research Returns Data) and open the text file.
× Click on the first Momentum Factor link and open the text file.
× Step 4: Copy the data from both files into Excel. For each of the two data series:
× Step 4a: Highlight the data, click on the Data tab and click on “Text to Columns”
× Step 4b: Select the “Fixed width” radio button in the dialog window. Click next. Then click Finish.
× Step 5: Delete the data you don’t need × Step 6: Subtract the risk free returns from the fund’s total returns
How to Use Factor Models
60
× Step 7: Organize the data so that the following columns are next to each other:
× Step 8: Under the Data tab, click on Data Analysis and select regression from the menu. Click ok.
× Step 8a: Select the data in the Fund-Rf column for the Input Y range (including the label). This is the dependent variable
× Step 8b: Select the data in the Mkt-Rf, SMB, HML, and Mom columns for the Input X Range (including the labels). These are the independent variables
× Step 8c: Check the Labels box × Step 8d: Click ok
How to Use Factor Models
61
× Step 9: Select the cell where you want the results to appear in the Output Range
How to Use Factor Models
62
× Step 10: InterpretOAKLX Factor Regression (12/96-07/13)
Regression StatisticsMultiple R 0.884R Square 0.781Adjusted R Square 0.777Standard Error 2.531Observations 200
ANOVA
df SS MS FSignificanc
e F
Regression 4 4466.94721116.73
68174.34
08 0.0000Residual 195 1249.0689 6.4055Total 199 5716.0161
Coefficie
ntsStandard
Error t Stat P-value Lower 95%Upper 95%
Intercept 0.38 0.18 2.07 0.04 0.02 0.74Beta 0.98 0.04 23.42 0.00 0.90 1.06Size -0.03 0.05 -0.50 0.62 -0.13 0.08Value 0.41 0.06 7.24 0.00 0.30 0.52Mom -0.07 0.03 -2.05 0.04 -0.14 0.00
How to Use Factor Models
63
× Live example
Practical Limitations
64
× It may not be possible to replicate the fund’s factor loadings with passive alternatives
× An actively managed fund may offer the cheapest way to achieve a certain factor exposure
× Even when there is no alpha, an active manager may be skilled in timing exposure to each of the factors
× Factor loadings aren’t static × The Fama/French factors are calculated using long-short portfolios.
Most mutual funds and ETFs are long-only
Factors that work
65
× Value× Dividend Income × Fundamental Indexing
× Momentum × Quality
× Profitability × Dividend Growth × Low volatility
× Illiquidity/Size
Factor Investing: Value
66
× Invest in a market-cap weighted fund that owns the cheapest X% of the market
× Most passive funds with “Value” in their names do this:Vanguard Value ETF VTViShares Russell 1000 Value Index IWD iShares S&P 500 Value Index IVE
× Advantages: Cheap and lots of options × Disadvantages
× Can water down a fund’s exposure to the value factor
Factor Investing: Value
67
× Fundamental Indexing× Idea: Break the link between market prices and portfolio weights× Rather than targeting a segment of the market, fundamental
indices simply weight their holdings based on characteristics such as dividends, sales, and book value
× Value tilt× Contra-trading: Buy low and sell high
× Advantages× More closely resembles how active managers think about
value × Allows investors to maintain core exposure to the market
× Disadvantages × More expensive than traditional passive value funds × Ignores potentially useful information contained in market
prices
Large-Cap Value Options
68
× WisdomTree LargeCap Dividend DLN, 0.28% E.R.× Dividend weighting × Lowest volatility
× PowerShares FTSE RAFI US 1000 PRF, 0.39% E.R.× iShares Morningstar Large-Cap Value JKF, 0.25% E.R.× DFA US Large Cap Value DFLVX, 0.27% E.R.× Vanguard Value ETF VTV, 0.10% E.R.× iShares Russell 1000 Value Index IWD, 0.21% E.R.
Large-Cap Value: Factor Loadings
(7/2006-07/2013) DLN PRF JKF DFLVX VTV IWDBeta 0.88 1.00 0.93 1.14 0.96 0.98Small -0.36 -0.07 -0.47 0.03 -0.25 -0.18Value 0.30 0.31 0.34 0.31 0.31 0.31Mom -0.03 -0.15 0.03 -0.07 -0.03 -0.01
Value and Size
69
× Historically, the value premium has been the largest among small-cap stocks
× Less analyst coverage, greater chance for mispricing
Annualized Returns (07/1926-08/2013)
Deep Value Value Blend Growth
High Growth
Deep Value - High
GrowthLarge 11.2% 9.6% 9.8% 9.5% 9.2% 2.0%Mid 12.0% 12.8% 11.9% 10.6% 9.9% 2.1%Small-Mid 13.7% 13.8% 13.1% 11.9% 8.9% 4.8%Small 15.3% 13.9% 13.4% 12.0% 7.0% 8.3%Micro 16.5% 14.4% 11.8% 7.3% 2.0% 14.6% *Calculated using data from the French Data Library
Small-Cap Value Options
× WisdomTree SmallCap Dividend DES, 0.38% E.R.× iShares Morningstar Small-Cap Value JKL, 0.30% E.R.× iShares Russell 2000 Value Index IWN, 0.36% E.R.× DFA US Small Cap Value DFSVX, 0.52% E.R.× Vanguard Small Cap Value VBR, 0.10% E.R.× PowerShares FTSE RAFI US 1500, Small-Mid PRFZ, 0.39% E.R.
70
Small-Cap Value: Factor Loadings (10/2006-
07/2013)
DES JKL IWN DFSVX VBR PRFZBeta 0.80 0.95 0.94 1.06 0.98 1.02Small 0.70 0.58 0.79 0.91 0.63 0.90Value 0.64 0.53 0.45 0.41 0.36 0.25Mom -0.19 -0.15 -0.01 -0.03 -0.09 -0.19
Factor Investing: Size
× Size is a relatively weak factor × Small cap growth stocks have historically underperformed
their large-cap counterparts× Small cap stocks have historically outperformed large-caps, but
differences in market risk can partially explain the performance gap
× The small-cap premium may simply be compensation for illiquidity× But most small-cap ETFs and index funds invest in
relatively liquid stocks × Using ETFs to invest in micro-cap stocks is a bad idea
× Alternative explanation: Neglected firm effect
71
Factor Investing: Size
× Vanguard Small Cap ETF VB, 0.10% E.R.× Invests in bottom 80%-98% of the U.S. stock market
× DFA US Micro Cap DFSCX, 0.52% E.R.× Invests in the smallest 5% of the U.S. stock market (but
market cap > $10 million)× Flexibility and DFA’s trading expertise help
72
Factor Regression (02/2004-07/2013)
VB DFSCXBeta 1.05 1.05Small 0.72 0.94Value 0.11 0.41Mom -0.04 -0.03
Factor Investing: Quality
× iShares MSCI USA Quality Factor QUAL, 0.15% E.R.× High ROE× Low Debt/Equity × Low earnings variability (standard deviation of year over
year EPS growth over the past 5 years) × Weights holdings using a combination of relative quality
and market capitalization× Vanguard Dividend Appreciation VIG, 0.10% E.R.
× Targets stocks that have raised their dividends in 10 consecutive years
× Market cap weighting
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Factor Regressions (05/2006-12/2012)
VIGMSCI Qual
Beta 0.92 0.99Small -0.13 -0.12Value 0.15 -0.14Mom 0.00 -0.01Quality 0.26 0.23 *Data for the first 4 factors from the French Data Library **Data for the quality factor from the Frazzini Data Library
Factor Investing: Low Volatility
× PowerShares S&P 500 Low Volatility SPLV, 0.25% E.R.× Selects the 100 least volatile members of the S&P 500
and weights them by the inverse of their volatility× Big sector bets
× iShares MSCI USA Minimum Volatility USMV, 0.15% E.R.× Anchors sector weights
× iShares MSCI EAFE Minimum Volatility EFAV, 0.20% E.R.× iShares MSCI Emerging Markets Minimum Volatility EEMV, 0.25%
E.R.
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Factor Regression (1/1999-12/2012)
MSCI US Min Vol
Beta 0.79 Small -0.12 Value 0.22 Mom 0.00 Quality 0.16 *Data for the first 4 factors from the French Data Library **Data for the quality factor from the Frazzini Data Library
Factor Regression (12/2001-12/2012)
EAFE Min Vol
EM Min Vol
Alpha -0.19 0.68Beta 0.94 1.16Small 0.33 0.58Value 0.30 -0.25Mom -0.06 0.06Quality 0.70 0.32 *Data calculated using global factors from the French and Frazzini Data Libraries
Factor Investing: Momentum
× iShares MSCI USA Momentum Factor MTUM, 0.15% E.R.× Targets stocks with the strongest risk-adjusted 6- and 12-
month momentum, excluding most recent month × Stock weights = momentum score * market cap× Semi-annual rebalancing
× AQR Momentum AMOMX, 0.49% E.R.× Targets the third of the U.S. large cap market with the
strongest total returns over the past 12 months, excluding the most recent month
× Rebalances at least quarterly, but the managers may do so more often
× Weights each stock based on both relative momentum and market cap
× AQR’s trading expertise can help reduce transaction costs
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Factor Regression (12/1981-07/2013)
AQR Mom Index
MSCI USA Mom
Beta 1.09 1.06Size 0.00 -0.18Value -0.05 0.01Mom 0.35 0.29
Momentum with ETFs
× Momentum works both at the stock level and at the broader asset class and index level
× Momentum may be harder to arbitrage away at the index level
× Easier to implement × Common Strategies
× Sector rotation × Country momentum × Asset Class momentum
× Caveat: High turnover, best suited for tax sheltered accounts
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Sector Rotation Momentum
× The Strategy: Order each of the 9 Sector Select SPDRs by 12 month total return, excluding the most recent month. Hold the 3 with the highest ranks in equal weight. Rebalance monthly.
× Buffer: Same as before, only now don’t sell a holding in the portfolio as long as it remains in the top 4.
× Based on data from 01/1999-08/2013
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Results StrategyEqual
Weight S&P 500 Annualized
Return 3.95% 5.33% 2.62% Standard Deviation 16.83% 15.32% 15.71%
Sharpe Ratio 0.06 0.15 -0.02 Turnover 143% - - Avg # of Trades/Yr 8 - -
Results StrategyEqual
Weight S&P 500 Annualized
Return 5.30% 5.33% 2.62% Standard Deviation 16.03% 15.32% 15.71%
Sharpe Ratio 0.14 0.15 -0.02 Turnover 282% - - Avg # of Trades/Yr 15 - -
Sector Rotation Momentum (with buffer)
78
12/31
/1999
7/2/20
00
1/2/20
01
7/2/20
01
1/2/20
02
7/2/20
02
1/2/20
03
7/2/20
03
1/2/20
04
7/2/20
04
1/2/20
05
7/2/20
05
1/2/20
06
7/2/20
06
1/2/20
07
7/2/20
07
1/2/20
08
7/2/20
08
1/2/20
09
7/2/20
09
1/2/20
10
7/2/20
10
1/2/20
11
7/2/20
11
1/2/20
12
7/2/20
12
1/2/20
13
7/2/20
135
50
Strategy Return Equal Weight Return S&P 500 Return
Log
Scal
e ($
tho
usan
ds)
Growth of $10,000
Country Momentum
× The Strategy: Order each country index by 12 month total return, excluding the most recent month. Hold the 3 with the highest ranks in equal weight. Rebalance monthly.
× Buffer: Same as before, only now don’t sell a holding in the portfolio as long as it remains in the top 4.
× Based on data from 01/1970-08/2013
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ResultsStrateg
yEqual
WeightMSCI World
Annualized Return 10.65% 10.60% 8.99%
Standard Deviation 18.17% 16.28% 14.95%
Sharpe Ratio 0.42 0.47 0.40 Turnover 162% - -Avg # of Trades/Yr 9 - -
ResultsStrateg
yEqual
WeightMSCI World
Annualized Return 11.75% 10.60% 8.99%
Standard Deviation 17.97% 16.28% 14.95%
Sharpe Ratio 0.49 0.47 0.40 Turnover 259% - - Avg # of Trades/Yr 14 - -
MSCI Switzerland MSCI Japan
MSCI Italy MSCI Canada
MSCI Netherlands MSCI France
MSCI UKMSCI Australia
MSCI USAMSCI Germany
Country Momentum (with buffer)
80
12/31
/1970
5/3/19
72
9/3/19
73
1/3/19
75
5/3/19
76
9/3/19
77
1/3/19
79
5/3/19
80
9/3/19
81
1/3/19
83
5/3/19
84
9/3/19
85
1/3/19
87
5/3/19
88
9/3/19
89
1/3/19
91
5/3/19
92
9/3/19
93
1/3/19
95
5/3/19
96
9/3/19
97
1/3/19
99
5/3/20
00
9/3/20
01
1/3/20
03
5/3/20
04
9/3/20
05
1/3/20
07
5/3/20
08
9/3/20
09
1/3/20
11
5/3/20
125
50
500
5000
Strategy Return Equal Weight Return Benchmark Return
Log
Scal
e ($
tho
usan
ds)
Growth of $10,000
Asset Class Momentum
× The Strategy: Order each of the following indices and funds by 12 month total return, excluding the most recent month. Hold the 3 with the highest ranks in equal weight. Rebalance monthly.
× Buffer: Same as before, only now don’t sell a holding in the portfolio as long as it remains in the top 4.
× Based on data from 01/1991-08/2013
81
Results StrategyEqual
Weight
Vanguard Wellingto
n Annualized
Return 12.81% 7.32% 9.42% Standard Deviation 11.32% 9.57% 9.56%
Sharpe Ratio 0.87 0.45 0.67 Turnover 117% - - Avg # of Trades/Yr 7 - -
Results StrategyEqual
Weight
Vanguard Wellingto
n Annualized
Return 12.83% 7.32% 9.42% Standard Deviation 11.15% 9.57% 9.56%
Sharpe Ratio 0.88 0.45 0.67 Turnover 193% - - Avg # of Trades/Yr 11 - -
MSCI USA IndexS&P Developed REIT Index
MSCI EAFE IndexVanguard High-Yield Corporate
DJ UBS Commodity TR
Franklin Templeton Hard Currency
Spot Gold MSCI Emerging Markets Barclays US Agg Bond
Asset Class Momentum (with buffer)
82
12/31
/1991
10/2/1
992
7/2/19
93
4/2/19
94
1/2/19
95
10/2/1
995
7/2/19
96
4/2/19
97
1/2/19
98
10/2/1
998
7/2/19
99
4/2/20
00
1/2/20
01
10/2/2
001
7/2/20
02
4/2/20
03
1/2/20
04
10/2/2
004
7/2/20
05
4/2/20
06
1/2/20
07
10/2/2
007
7/2/20
08
4/2/20
09
1/2/20
10
10/2/2
010
7/2/20
11
4/2/20
12
1/2/20
135
50
500
Growth of $10,000
Strategy Return Equal Weight Return Benchmark Return
Log
Scal
e ($
tho
usan
ds)
Summary
× Model-based investing is sensible× Factors explain asset returns× Major equity factors: market, value, momentum,
quality, low-vol, size/liquidity× After controlling for factor exposures, it’s hard to
find evidence of manager skill× Factor research is raising the hurdle for active
managers
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ETFInvestor: A rational approach to asset allocation
× Factor-based approach + valuation + common sense
× Two portfolios× Income—conservative, absolute return× Asset Allocation—more aggressive,
benchmark sensitive× Go to etf.morningstar.com× Email me at [email protected]
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Morningstar ETFInvestor
Editor Picture
A global approach to investing in discounted markets with improving fundamentalsMorningstar ETFInvestor scans the globe for value and improving fundamentals across virtually all asset classes. Editor Samuel Lee draws upon academic and practitioner research—including Morningstar's sizeable bench of stock, bond and fund analysts—to find reliable drivers of outperformance.
Samuel Lee ETF Analyst Editor, Morningstar ETFInvestor
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