FUNDAMENTALS
January 2015
There’s Diversity in Value
Brent Leadbetter, CFA, and John West, CFA
John West, CFA
“
Market inefficiencies
have existed as long
as there have been
markets.
“
KEY POINTS
1.
The excess returns captured by a
value style index and a fundamentally weighted strategy have low
cross correlations across 11 of the
world’s largest economies and 16
major asset classes.
2.
A simulated market-neutral portfolio with long positions in fundamentally weighted indices and short
positions in cap-weighted indices
generates a high Sharpe ratio.
3.
A global long-short strategy that
employs fundamental weighting
can be seen as a diversifying asset
with the potential to improve longterm risk-adjusted returns.
In team sports like basketball, the whole
can be greater than the sum of the parts if
individual players—even those who are not
of All Star caliber on their own—complement
one another. This was clearly demonstrated in
last year’s NBA finals when the San Antonio
Spurs beat the Miami Heat with their “big
three” superstars. Commentators seemed to
spend as much time describing the way the
Spurs organization had been built as they did
praising their players. Tim Duncan has played
well ever since he was the first pick in the
1997 draft.
Tony Parker breaks down defenses
with his quick dribble. Boris Diaw excels as
a passer. Manu Ginobili provides a spark
off of the bench.
Tiago Splitter rebounds.
Kawhi Leonard defends against the other
team’s best player. Danny Green hits corner
threes, and so on. The Spurs have perfected a
winning formula, signing quality players to fill
complementary roles.
The San Antonio Spurs’ proven strategy of
utilizing complementary capabilities can
also be employed in constructing investment
portfolios.
Asset classes that perform well
in isolation can be promising as stand-alone
options, but they become far more attractive
when combined with others whose strengths
are dissimilar. In investing, as in team sports,
diversification makes it possible to excel
regardless of the competition and the playing
conditions. That’s a platitude.
But we take
another step and propose that the wellestablished value premium can be considered
a diversifying asset class.
Global Value Premia
The existence of a value premium, most
notably documented by Fama and French
(1992), is widely accepted. Further, the value
premium is robust across countries. Figure 1
shows the annualized value premium, as
measured by the excess returns of longonly capitalization-weighted value equity
indices over long-only cap-weighted core
equity indices, for 11 of the world’s 12 largest
economies (Arnott, 2007; West, 2011).
The
median value premium is 60 bps, and none
of the markets exhibits a negative value
premium over the period from August 1996
to June 2014.
A correlation matrix (Table 1) using the
same monthly return time series shows
that the excess returns attributable to these
country-specific value premia are far less
than perfectly correlated.
The average cross correlation is only 0.21.
Interestingly, the highest correlations belong
to some of the largest developed countries.
It should not be a surprise, given the size of
its equity market, that the United States has
the largest average correlation (0.34) with
other countries’ value premia. Canada is not
far behind at 0.32. The other countries with
correlations above 0.2 are also developed
markets.
In contrast, Australia and the
emerging markets (Brazil, India, and China)
exhibit the lowest average correlations.
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. FUNDAMENTALS
January 2015
Figure 1. Annualized Value Style Premium by Country (August 1996–June 2014)
9%
8.3%
8%
6%
5%
4%
3%
2.5%
2%
Japan
Italy
India
Germany
Country Value Premium
0.2%
0.4%
US
0.4%
0.1%
France
China
Canada
1.2%
0.9%
0.6%
0.6%
Brazil
0%
1.0%
Australia
1%
UK
Value-Added Return
7%
Median
Source: Research Affiliates based on data from Russell Indexes via FactSet.
Table 1. Cross-Country Correlations of Value Premia
Australia
Australia
Brazil
Canada
China
France
Germany
India
Italy
Japan
U.K.
U.S.
1
-0.08
0.19
0.08
0.16
0.22
-0.07
0.18
0.14
0.22
0.18
Brazil Canada
1
0.00
-0.05
0.11
-0.01
0.17
0.11
0.00
0.07
0.00
1
0.32
0.43
0.43
0.25
0.14
0.39
0.32
0.70
China
1
0.01
0.15
0.14
0.25
0.21
0.06
0.26
France Germany
1
0.40
0.08
0.33
0.18
0.40
0.37
1
0.13
0.36
0.21
0.35
0.50
India
Italy
Japan
1
0.11
0.05
0.07
0.20
1
0.46
0.42
0.42
1
0.26
0.42
U.K.
1
0.31
U.S.
1
Source: Research Affiliates based on data from Russell Indexes via FactSet.
The low correlations across borders
mean that a global portfolio accessing
individual countries’ value premia would
have less volatility than its average
component. However, 60 bps of excess
return does not make for a terribly
interesting investment option.
We need
to find higher expected returns in order
to create an attractive investment.
Fundamentally Weighted
Indices
Long-time readers of Research Affiliates’
publications know that, in the long run,
fundamentally weighted strategies
tend to outperform cap-weighted value
strategies due to the dynamic nature of
their value tilt. This dynamic exposure is
an inherent by-product of the strategies’
regular rebalances (Hsu, 2014). Like the
value premium itself, this excess return
is robust across countries.
However,
the magnitude of long-term excess
returns from fundamentally weighted
strategies is substantially greater than
the premium captured by cap-weighted
value style indices (Hsu, 2014).
A cap-weighted value index is
constructed in accordance with price-
based methodologies. Companies are
typically selected by valuation measures
such as the price-to-book ratio. Their
capitalization-based weights in the index
increase as their share prices appreciate;
conversely, their weights decline as prices
fall.
Ironically, the more expensive—and
therefore the less like a value stock—a
“value” holding becomes, the greater its
weight in a cap-weighted value index.
Selecting and weighting stocks on the
basis of fundamental values (such as
sales, cash flow, dividends, and book
value), and periodically rebalancing to
fundamental weights, breaks this link
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Page 2
. FUNDAMENTALS
January 2015
between a stock’s price and its weight
in the portfolio, resulting in added value
relative to the cap-weighted index.
have higher returns and less volatility
than the average country. The data
confirm this assumption. An equally
weighted portfolio would have had
an annualized return of 2.5% and an
annualized volatility of 4.9% versus
2.1% and 8.4%, respectively, for the
average country.
Series are not meaningfully correlated
across countries (Table 2). Again, the
United States and Canada have the
largest average cross correlations at
0.37 and 0.31, respectively.
The overall
average correlation of 0.23 is nearly
identical to the 0.21 observed for the
value premia.
Figure 2 illustrates the value added by
the Russell Fundamental Index® Series
over the period August 1996—June
2014. The median annualized value
added by these strategies is 2.2%1 and
the return premium is again positive in
each country.
Gearing Up the Portfolio
This low correlation between the excess
returns from each country suggests
that, with monthly rebalancing, an
equally weighted portfolio comprising
all 11 countries’ excess returns would
Similar to the value premium, the excess
returns of the Russell Fundamental Index
One way to potentially capture
incremental returns is through a
market-neutral long-short portfolio.
For the period August 1996 through
Figure 2. Annualized Russell Fundamental Index Excess Returns (August 1996–June 2014)
Value-Added Return
4%
3.7%
3.6%
3%
2.5%
2.2%
2%
1%
2.2%
1.6%
2.3%
2.1%
1.5%
0.9%
Russell Fundamental Index Excess Return
US
UK
Japan
Italy
India
Germany
France
China
Canada
Brazil
0%
Australia
0.3%
Median
Source: Research Affiliates based on data from Russell Indexes.
Table 2.
Cross-Country Correlations of Fundamentally Weighted
Portfolios’ Excess Returns
Australia
Australia
Brazil
Canada
China
France
Germany
India
Italy
Japan
U.K.
U.S.
1
0.10
0.17
0.29
0.13
0.30
0.25
0.13
0.18
0.07
0.34
Brazil Canada
1
0.04
-0.06
0.05
0.11
0.20
0.07
0.02
0.00
0.09
1
0.37
0.42
0.37
0.42
0.04
0.36
0.20
0.72
China
1
0.30
0.12
0.30
0.22
0.38
0.17
0.41
France Germany
1
0.27
0.22
0.22
0.27
0.23
0.39
1
0.16
0.24
0.29
0.14
0.32
India
Italy
Japan
1
0.21
0.27
0.18
0.46
1
0.26
0.20
0.25
1
0.16
0.42
U.K.
1
0.32
U.S.
1
Source: Research Affiliates based on data from Russell Indexes.
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Page 3
. FUNDAMENTALS
weighted strategies and short capweighted indices will not necessarily
experience a similar decline in riskadjusted returns due to low rates and
high valuations.
“
In investing, as in
basketball, diversification
makes it possible to excel.
Table 3 shows how the market-neutral
long–short strategy would have
performed in comparison with asset
class returns over the same period. For
reference, “first pillar” asset classes
include developed market equities;
“second pillar,” mainstream fixedincome strategies; and “third pillar,”
diversified inflation hedges such as
emerging market stocks, emerging
market bonds, and high yield bonds.
As a stand-alone option, this global
market-neutral long–short portfolio
would have generated a Sharpe ratio
superior to that of first pillar equities
but below those of second and third
pillar assets. Present-day yields and
valuation levels will make it challenging
for both stocks and bonds to replicate
the returns realized in the declining
rate environment reflected in Table
3’s historical timeframe. However, a
portfolio that is long fundamentally
“
June 2014, a simulated portfolio with
equal exposures to long positions
in fundamentally weighted indices
in each of the 11 countries, and
short positions in the corresponding
cap-weighted indices, would have
generated an annualized return of 5%
and an annualized volatility of 5%.
This
outcome would have generated an
attractive Sharpe ratio of 0.52.2
January 2015
The value added by rebalancing
strategies is based on the presence of
mispricing in the market, not the level
of yields and valuations. Investors can
reasonably expect rebalancing strategies
to remain advantageous over the long
term unless markets become perfectly
efficient—an improbable development,
given that market inefficiencies have
existed as long as there have been
markets! And if the added value persists,
so will the magnitude of the Sharpe
ratio. Observe, too, that this portfolio’s
hypothetical returns reflect a simple
approach utilizing broadly diversified
indices backed by collateral earning only
the risk-free rate of return.
Several other ways to enhance returns
come to mind.
In the long portfolio,
including only the largest active positions
in fundamentally weighted indices
(relative to cap-weighted indices) might
result in more concentrated exposure to
the companies most responsible for the
excess returns. Actively managing the
fixed-income collateral would offer the
possibility of outperforming the return
on cash. Either of these changes would
likely increase the already attractive
Sharpe ratio of 0.52.
Yet, as appealing as
this investment looks on a stand-alone
basis, its true promise lies in its potential
to diversify an investment program.
Diversifying an Asset Mix
The correlation, or more accurately
the lack of correlation, of the returns
of this long–short portfolio with major
asset classes makes the idea truly
interesting. Figure 3 shows that the
global long fundamentally weighted/
short cap-weighted portfolio actually
has a negative average correlation with
the three-pillar asset classes to which
we frequently refer (West, 2013). An
investment strategy that offers an
attractive Sharpe ratio and returns that
are negatively correlated with all major
asset classes is essentially the Holy Grail
of portfolio construction.
A 5% annual
return will not achieve any but the most
modest spending objectives on its own,
but the diversification benefits offer the
potential to make a truly meaningful
improvement to an overall portfolio’s risk
and return characteristics.
Table 3. Simulated Market-Neutral Long–Short Performance (August 1996–June 2014)
Annualized
Return
Annualized
Volatility
Sharpe
Ratio
Global Long-Short Strategy*
5.0%
5.0%
0.52
Average of First Pillar
8.1%
16.6%
0.34
Average of Second Pillar
7.3%
7.0%
0.70
Average of Third Pillar
8.0%
9.5%
0.60
*Long country-specific fundamentally weighted indices; short the corresponding cap-weighted
indices.
Source: Research Affiliates based on data from FactSet.
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Page 4
. FUNDAMENTALS
January 2015
Figure 3. Sharpe Ratios and Average Cross Correlations
1.75
Core Fixed Income
1.50
1.25
Sharpe Ratio
TIPS
1.00
Bank Loans
Long Treasury
Local Curr EM Bonds
Long Credit
High Yield
EM Bonds
0.75
Convertibles
Long Fund'l/Short Cap
REITs
0.50
Large Cap US Equities
Small Cap US Equities
Developed ex US Equities
0.25
EM Equities
Commodities
0.00
-0.20
-0.10
0.00
0.10
0.20
0.30
0.40
0.50
Average Correlation to the Three-Pillar Asset Classes
Source: Research Affiliates based on data from from FactSet.
None of the asset classes has a negative
average cross correlation, even after
we include the global long–short
portfolio. A portfolio comprised 50%
of first-pillar developed equities, 30%
second-pillar
mainstream
bonds,
and 20% third-pillar inflation hedges
already contains considerably more
global diversification, more inflation
protection, and less reliance on equity
market beta than the average simulated
three-pillar investment portfolio. As
a result, it hypothetically generates
attractive performance over the same
measurement period we have been
considering.
However, as shown in
Table 4, introducing a 10% allocation
to the global market-neutral portfolio
would have improved the risk-adjusted
performance even of the 50/30/20
portfolio.
Thus, adding this global market-neutral
strategy has the potential to increase the
Sharpe ratio of even the most diversified
portfolios. With today’s low yields and
correspondingly
modest
expected
returns for mainstream stocks and
bonds, such further diversification may
never have been more reasonable.
range. A team composed solely of Boris
Diaws would probably be unsuccessful,
but the San Antonio Spurs leaned heavily
on Diaw on their way to last year’s NBA
championship.
He had a specific role
in which he fittingly complemented his
teammates’ skills.
In Closing
A portfolio comprising long positions
in individual fundamentally weighted
country indices and short positions in capweighted country indices might prove to
be the Boris Diaw of a diversified portfolio.
Investors would be unlikely to meet their
return targets by concentrating all their
assets in such a strategy. However, given
its high Sharpe ratio and low correlation
with widely used asset classes, it seems
a suitable addition to a robust asset mix.
In isolation, Boris Diaw is an aboveaverage basketball player. As a power
forward, he has the ability to rebound
and score around the basket.
However,
because of his unique skill set, he truly
shines as part of a team. He is large
enough to guard post players, yet he
has the situational awareness necessary
to be a great passer and the sure touch
necessary to be a threat from three-point
Table 4. Diversifying a Three-Pillar Portfolio (August 1996−June 2014)
Annualized
Return
50/30/20
45/27/18/10*
Annualized
Volatility
Sharpe
Ratio
8.2%
10.2%
0.57
7.9%
9.0%
0.61
*45% first pillar, 27% second pillar, 18% third pillar, and 10% global market-neutral long
fundamentally weighted/short cap-weighted.
Source: Research Affiliates based on data from FactSet.
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Page 5
.
FUNDAMENTALS
Endnotes
1.
2.
In this case, the mean, 2.1%, is quite close to the median due to the
absence of outliers.
We used the risk-free rate, proxied by one-month U.S. Treasury bills, to
represent a conservative return from the collateral that would back such
a strategy.
January 2015
Fama, Eugene F., and Kenneth R. French. 1992.
“The Cross-Section of Expected
Stock Returns.” Journal of Finance, vol. 47, no. 2 (June):427–465.
Hsu, Jason.
2014. “Value Investing: Smart Beta vs. Style Indices.” Journal of
Index Investing, vol.
5, no. 1 (Summer):121–126.
References
West, John. 2011.
“Sector Weights: On Average Wrong, but Dynamically Right.”
Research Affiliates (May).
Arnott, Rob. 2007. “Dynamic Style and Size Exposures.” Research Affiliates
(August).
———.
2013. “Attention 3-D Shoppers.” Research Affiliates (July).
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