Thought Leadership

Tracking Error is Not Diversification: How Many Stocks Does Your Index Really Own?

October 15, 2026

10 min read

Third Quarter 2026 Commentary


Global equity markets have become concentrated around a single theme—AI—leaving indices less diversified than they appear. We believe portfolios built from what this narrative has left behind can offer genuine diversification.

THE INDEX IS NOW A SINGLE THEME

Much has been written about how concentrated equity markets have become. Less attention has been paid to what that concentration has done to diversification. The largest companies in global indices are no longer just big; they are increasingly tied to a single theme—artificial intelligence. As a result, a global index portfolio behaves like a much smaller portfolio than its thousands of holdings suggest. Instead of the broad diversification they sought, many investors have been left with something much narrower: low tracking error. In this essay, we discuss the following:

  • How today’s concentration differs from past peaks
  • What concentration has done to diversification across global, U.S., and emerging markets indices
  • What history and current valuations suggest about forward returns
  • Where we are finding opportunity

THE TOP OF THE INDEX IS ONE THEME

The 10 largest U.S. companies now account for roughly 41% of the S&P 500, and because the U.S. makes up nearly two-thirds of global market capitalization, they increasingly set the course for global indices. At prior peaks of concentration, the largest companies were big but different from one another (Exhibit 1). In 1970, during the Nifty Fifty era, the top 10 spanned computers, telecommunications, autos, photography, energy, and retail. Even when technology led at the height of the dot-com bubble in 2000, the list included an industrial conglomerate, an oil major, a retailer, and a bank.

Today, nine of the 10 largest companies are chip designers, chipmakers, cloud platforms, or consumer technology businesses whose valuations rest heavily on AI-driven growth. The top of the index has become less a collection of industry leaders and more a single theme expressed through nine stocks.

Exhibit 1: Top 10 Companies by Market Cap, 1970–Today

Sector vs Percent of Total S&P 500 Market Cap
Refer to previous paragraph for more information.

Source: FactSet, Pzena analysis. S&P 500 holdings using current GICS sectors.
1970: company rank order from Arnott, Hsu, and West, The Fundamental Index (Wiley, 2008); bar total from JPMorgan Equity Strategy Research; individual company weights are estimates.
Data as of September 30, 2026.

DIVERSIFICATION IS SHRINKING

A simple way to gauge diversification is to ask how many stocks an index actually behaves like. Consider a portfolio with 90% of its weight in just one of its 10 holdings; on paper, it holds 10 stocks, but in practice, it behaves like a portfolio of little more than one. The Effective N metric captures this. Calculated as one divided by the Herfindahl-Hirschman Index, a standard measure of concentration, it is the number of equally weighted stocks that would be just as concentrated as the portfolio.

By this measure, diversification has fallen sharply across regions (Exhibit 2). Since 2012, the effective number of stocks in global, U.S., and emerging markets indices has fallen to between roughly one-sixth and one-third of what it was. The MSCI All Country World Index (ACWI), an index of around 2,400 companies, now behaves like a portfolio of little more than 100.

Exhibit 2: The Index Behaves like a Smaller Portfolio

Korea + Taiwan = 113% of Total Return (Total EM Return: +24%)Refer to previous paragraph for more information.

Source: FactSet, MSCI, Pzena analysis
*Effective number of stocks = 1/HHI, where the Herfindahl-Hirschman Index (HHI) = Σ(wᵢ²) and wᵢ is each security’s weight in the index or portfolio, expressed as a decimal. The effective number of stocks is the number of equally weighted holdings that would produce the same level of concentration; lower values indicate greater concentration.
Data from September 30, 2006 – September 30, 2026 on a monthly frequency.

1 Data is based on representative client accounts.

Emerging markets have seen the steepest decline, as a rally in a small group of Asian semiconductor companies pushed their weights higher. As a result, our Emerging Markets Focused Value strategy portfolio, a concentrated portfolio of 40–80 stocks, is now more diversified in effective terms than its benchmark.

Even these figures may overstate true diversification. Diversification is not just about the number of stocks; it’s also about the different kinds of risk those stocks represent. Effective N counts nine AI-linked companies as nine separate positions, yet their fortunes depend largely on the same driver: continued spending on AI.

This is where the trade-off becomes clear. Close alignment with the index minimizes tracking error, and for many investors that has become the goal. But low tracking error and diversification were never the same thing, and today, the difference is hard to ignore. A portfolio managed for closeness to the benchmark can end up concentrated in a single theme. Diversification comes from owning businesses whose earnings depend on different drivers.

HISTORY HAS NOT FAVORED THE LARGEST

Concentration would matter less if the largest companies reliably kept outperforming. History suggests otherwise. From 1926 through 2017, the 10 largest S&P 500 companies trailed the equal-weighted index by an average of 2.9% over the following year, 11.3% over three years, 19.8% over five years, and 35.3% over ten years (Exhibit 3).

The period since 2018 has been a striking exception. The largest companies outperformed by an average of 13.3%, 42.6%, and 49.3% over the following one, three, and five years. This explains why the index looks the way it does today.

To be fair, this exception has been earned, at least in part. Many of today’s largest companies have delivered extraordinary earnings growth, and the digital economy has rewritten some of the rules of scaling. Businesses built on software, platforms, and network effects can grow without the capital burdens that once held incumbents back. But the price paid for a business still matters. Even exceptional companies can make disappointing investments when the price already reflects their success.

Exhibit 3: The 10 Largest S&P 500 Stocks Have Historically Underperformed by a Wide Margin

Average Relative 1, 3, 5, 10-Year Forward Performance of the 10 Largest S&P 500 Companies*

Refer to previous paragraph for more information.Source: Robert D. Arnott, Jason C. Hsu, and John M. West, The Fundamental Index: A Better Way to Invest. John Wiley & Sons, Inc. 2008, Research Affiliates, LLC., Sanford C. Bernstein & Co., Pzena analysis
*Equally weighted returns of the 10 largest S&P 500 companies by market capitalization vs. the equal-weighted S&P 500 universe.
The 2018 – 2025 bars reflect relative returns for periods ending each year from 2018 through 2025, or eight annual observations for each time period.
Rolling annual data as of December 31, 2025. Past performance does not predict future returns.

VALUATIONS SET THE STARTING POINT

Today, that price is high. Concentration at the top has left indices richly valued relative to their own history. The forward price-to-earnings (P/E) ratio for global equities stands at more than 19x, roughly 16% above its long-term average.

History offers no guarantees about timing, but periods that began from elevated valuations have not always been followed by strong returns.

Our portfolios tell a different story. While the market trades well above its historical valuation range, our Global Focused Value portfolio trades at 7.4x normalized earnings, below its long-term average of 7.9x.

WHERE WE ARE FINDING OPPORTUNITY

That gap is not the result of a macro call against AI. It is the product of the same bottom-up process we have always followed.

The vast majority of our exposure is to companies where we expect AI to have limited impact on earnings, in either direction (Exhibit 4). In our Global Focused Value portfolio, that share is roughly 82%, compared with about 58% for ACWI. The contrast holds across regions and is widest in the U.S., where our U.S. Large Cap Focused Value portfolio has almost no exposure to companies benefiting from the AI buildout, while nearly 42% of the Russell 1000 falls in that category.

Exhibit 4: Broad-Based Opportunities Outside AI

AI Exposure: Pzena Vs. Indices

Refer to previous paragraph for more information.

Source: FactSet, FTSE Russell, MSCI, Pzena analysis.
Data as of September 30, 2026. Portfolio and index weights by AI category. Pzena Large Cap Focused Value vs. Russell 1000 Index; Pzena Emerging Markets Focused Value vs. MSCI Emerging Markets Index; Pzena Global Focused Value vs. MSCI ACWI Index. Portfolio data based on a representative account. AI categories are Pzena’s classifications, assigned by sub-industry (FTSE ICB for Russell; GICS for MSCI) with company-level adjustments. AI Beneficiary: suppliers of the AI buildout. AI Disruption Risk: businesses whose products AI could substitute for. Limited AI Impact: all others. Classifications are subjective and subject to change. Holdings are subject to change and are not a recommendation to buy or sell any security.

We have found little to buy among AI beneficiaries, which has been a function of price, not conviction. We built our exposure to memory semiconductors when the industry was out of favor and trimmed it as prices rose.

We have also taken modest, thoughtful positions in companies we believe the market has overly punished for perceived AI risk, most notably in IT and business services. Our research suggests the market has priced in worst-case outcomes for businesses that have adapted to prior waves of technological change. Because the range of outcomes is wider than usual, we have sized these positions carefully.

Our portfolios often carry meaningful tracking error relative to the index, which we believe is particularly valuable in the current market environment. For investors whose core exposures have converged on the same small group of stocks, portfolios that look very different, and whose results depend on different drivers, can serve as a genuinely diversifying complement to what they already own.

CONCLUSION

The concentration of today’s market is not simply a question of size. It is also a question of correlation. The largest companies in global indices are increasingly rising and falling on a single narrative. Sound portfolio construction has always meant avoiding too much exposure to any single risk. Yet for investors who rely on the index for diversification, a single risk is increasingly what they hold, at a time when valuations are well above historical averages. We do not know when or how this concentration will ease; historically, it has only needed to stop rising, not reverse, to improve the environment for active and value strategies. In the meantime, we believe the most attractive opportunities lie in the parts of the market this narrative has left behind. Portfolios built from that opportunity set can offer investors something the index increasingly cannot: diversification.

FURTHER INFORMATION

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