The document discusses three dimensions of expected stock returns:
1) Company size - Small company stocks tend to have higher expected returns than large company stocks over time.
2) Company price - Lower-priced "value" stocks tend to have higher expected returns than higher-priced "growth" stocks over time.
3) Equity market - Stocks tend to have higher expected returns than fixed income investments like bonds over time.
2. RR1250.2
Precision in Portfolios
Traditional Consulting Style Box
Three-Factor Model
Small
Large
Mid
Growth
Value
Small
Value
Blend
Growth
• Traditionally, ―products‖ have been classified into
rigid and sometimes arbitrary categories.
• Style boxes force crude strategic allocation.
Large
• Using the three-factor model, the total portfolio is
measured by factors that determine risk and
expected return.
• Freedom from brittle definitions allows precisely
tuned portfolios.
2
4. RR1255.1
Advancements in Research
Single-Factor Model
(1963)
Market
Size Effect
(1981)
Size
Large
Small
Value Effect
(1991)
Expected Profitability
(2012)
Size
Large
Low
Large
High
Small
Low
Small
Size
Direct
Profitability
High
Large
Small
Low
High
Relative Price
Low
High
Relative Price
4
6. Structure Determines Performance
Structured Exposure to
Factors explain 96% of
return variation
• The vast majority of the variation in
returns is due to risk factor exposure.
• Market
• Size
• Value/Growth
• After fees, traditional management
typically reduces returns.
Unexplained Variation is 4%
THE MODEL TELLS THE DIFFERENCE BETWEEN INVESTING AND SPECULATING
THE MODEL TELLS THE DIFFERENCE BETWEEN INVESTING AND SPECULATING
average
expected return =
[minus T-bills]
average
excess
return
+
sensitivity
to market
[market return
minus T-bills]
+
sensitivity
to size
+
[small stocks
minus big
stocks]
Priced Risk
• Positive expected return
• Systematic
• Economic
• Long-term
• Investing
sensitivity
to BtM
[value stocks
minus
growth]
+
random
error
e(t)
Unpriced Risk
• Noise
• Random
• Short-term
• Speculating
7. RR1210.2
Capital Asset Pricing Model
William Sharpe: Nobel Prize in Economics, 1990
Total Equity Risk
Unsystematic
Company
Risk
• Specific to firm or industry (lawsuit, fraud, etc.)
• Diversifiable
Unsystematic
• No compensation
Industry
Risk
Systematic
Market
Risk
Systematic
• Marketwide, affects all firms (war, recession, inflation, etc.)
• Non-diversifiable
• Investor compensation
• Measured by beta
Beta measures volatility relative to the total market. A beta higher than the market’s beta of 1 implies more volatility, and a beta lower than the market’s implies less volatility.
7
9. RR1221.5
Historical US Value and Small Cap Premiums
Annual
VALUE MINUS GROWTH
Top 30% – Bottom 30%
Average
Premium (%)
Standard
Deviation (%)
SMALL MINUS LARGE
Bottom 50% – Top 50%
Average
Premium (%)
Standard
Deviation (%)
Jan 1926–Dec 2012
4.77
16.60
4.53
16.08
Jan 1946–Dec 2012
4.56
13.83
3.04
13.67
Jan 1975–Dec 2012
3.55
14.53
3.35
12.83
Data provided by Fama/French.
9
10. RR1271.5
The Risk Dimensions Delivered
July 1926–December 2012
US Value vs. US Growth
US Small vs. US Large
OVERLAPPING PERIODS
In 25-Year Periods
Value beat growth 100% of the time.
Small beat large 97% of the time.
In 20-Year Periods
Value beat growth 100% of the time.
Small beat large 88% of the time.
In 15-Year Periods
Value beat growth 99% of the time.
95%
Small beat large 82% of the time.
In 10-Year Periods
Value beat growth 96% of the time.
91%
Small beat large 75% of the time.
In 5-Year Periods
Value beat growth 86% of the time.
80%
Small beat large 60% of the time.
Periods based on rolling annualized returns. 739 total 25-year periods. 799 total 20-year periods. 859 total 15-year periods. 919 total 10-year periods. 979 total 5-year periods.
Performance based on Fama/French Research Factors. Securities of small companies are often less liquid than those of large companies. As a result, small company stocks may fluctuate relatively more in price. Mutual funds
distributed by DFA Securities LLC.
11. RR1271.5
The Risk Dimensions Delivered
January 1975–December 2012
January 1970–December 2012
International Value vs. International Growth
International Small vs. International Large
OVERLAPPING PERIODS
In 25-Year Periods
Value beat growth 100% of the time.
Small beat large 100% of the time.
In 20-Year Periods
Value beat growth 100% of the time.
Small beat large 97% of the time.
In 15-Year Periods
Value beat growth 100% of the time.
Small beat large 83% of the time.
In 10-Year Periods
Value beat growth 100% of the time.
Small beat large 80% of the time.
In 5-Year Periods
96%
Value beat growth 98% of the time.
Small beat large 79% of the time.
Based on rolling annualized returns. Rolling multi-year periods overlap and are not independent. This statistical dependence must be considered when assessing the reliability of long-horizon return differences.
International Value vs. International Growth data: 157 overlapping 25-year periods. 217 overlapping 20-year periods. 277 overlapping 15-year periods. 337 overlapping 10-year periods. 397 overlapping 5-year periods.
International Small vs. International Large data: 217 overlapping 25-year periods. 277 overlapping 20-year periods. 337 overlapping 15-year periods. 397 overlapping 10-year periods. 457 overlapping 5-year periods.
International Value and Growth data provided by Fama/French from Bloomberg and MSCI securities data. International Small data compiled by Dimensional from Bloomberg, StyleResearch, London Business School, and
Nomura Securities data. International Large is MSCI World ex USA Index gross of foreign withholding taxes on dividends; copyright MSCI 2013, all rights reserved.
14. LT1395.5
Missing Opportunity
• Strong performance among a few stocks
accounts for much of the market’s return
each year.
• There is no evidence that managers can
identify these stocks in advance—and
attempting to pick them may result in
missed opportunity.
Compound Average Annual Returns: 1926-2012
All US Stocks
Excluding the Top 10%
of Performers
Each Year
Excluding the Top 25%
of Performers
Each Year
9.6%
• Investors should diversify broadly and
stay fully invested to capture expected
returns.
6.3%
-0.6%
Results based on the CRSP 1-10 Index. CRSP data provided by the Center for Research in Security Prices, University of Chicago.
Editor's Notes
Exposure to three equity risk factors and two fixed income risk factors accounts for most of a diversified portfolio's expected return. The three equity risk factors are: Market—stocks have higher expected returns than fixed income securities.Size—small cap stocks have higher expected returns than large cap stocks.Book-to-Market (BtM)—lower-priced “value” (high BtM) stocks have higher expected returns than higher-priced “growth” stocks (low BtM). Two additional risk factors reflect compensated risk in the fixed income markets. These are: Maturity—longer-term bonds are riskier than shorter-term instruments.Credit—instruments of lower credit quality are riskier than instruments of higher credit quality. The credit premium only covers 1973-2012.The historical return premiums for these risk factors are documented in the graph. Equities have offered a higher expected return than fixed income, but these stronger premiums come with higher risk. Structuring a portfolio around compensated risk factors can change many aspects of the investment process. Rather than focusing on individual stock or bond selection, investors work to achieve diversified, controlled exposure to the risk factors that drive expected returns. An investor first determines his portfolio’s stock/bond mix, and then decides how much additional small cap and value to hold in pursuit of higher expected returns. The level of risk assumed in the fixed income component may depend on why an investor is holding fixed income. For example, an equity-driven investor who wants to reduce portfolio volatility may hold less risky debt instruments, while an investor pursuing higher yield or income may take more maturity and default risk.
This slide documents the frequency with which the value and size premiums have been positive over various time periods in the US stock market from 1926 to 2012.  As the results illustrate, US value stocks have outperformed US growth stocks—and US small cap stocks have outperformed US large cap stocks—in a majority of all the rolling return periods measured. The US value premium has been positive more often than the size premium. The time periods, which range from five to twenty-five years, are based on annualized returns for rolling 12-month periods (e.g., January-December, February-January, March-February, etc.). The total number of 12-month periods for each time frame is indicated in the footnotes.
This slide documents the frequency with which the value premium, from 1975-2012, and the size premium, from 1970-2012, have been positive over various time periods in the international (non-US) developed stock markets.  In the international markets, value stocks have outperformed growth stocks—and small cap stocks have outperformed large cap stocks—in a majority of all rolling return periods measured. The value premium has been strongly positive more often than the size premium. The time periods, which range from five to twenty-five years, are based on annualized returns for rolling 12-month periods (e.g., January-December, February-January, March-February, etc.). The total number of 12-month periods for each time frame is indicated in the footnotes. The set of available data for non-US developed markets is considerably shorter than US markets. As a result, the smaller set of observations can amplify the effect of sustained periods of negative or positive premiums. This may explain part of the frequency difference between the 20-year and 15-year periods for the international small cap premium.
The harsh reality of market efficiency has not stopped speculators and other traders from attempting to read the future. On paper, market timing offers a seductive prospect: By predicting market direction ahead of time, a trader might capture only the best-performing days and avoid the worst. This slide tells the other side of that story. Large gains may come in quick, unpredictable surges. A trader who misinterprets events may leave the market at the wrong time. Missing only a small fraction of days—especially the best days—can defeat a timer’s strategy.For example, since 1970, missing the best 25 trading days would have significantly cut S&P 500 Index annualized compound return.Trying to forecast which days or weeks will yield good or bad returns is a guessing game that can prove costly for investors.
Talking Points:This graph shows that a few outperforming stocks may account for a disproportionately large share of the US market’s return in a given year. From 1926 to 2012, the US stock market, as measured by the CRSP 1-10 Index, provided a 9.6% compound average annual return. If the top-performing decile of stocks were excluded each year, the market’s return would drop to 6.3% annualized. Excluding the top quartile of performers each year would reduce the market’s average annual return to a negative 0.6%. Since it is impossible to reliably identify winners before the fact, the most prudent approach is to maintain broad diversification and consistent exposure within a particular asset class. This improves the likelihood that a portfolio will capture outperformance—wherever it may occur.