Fundamentally based indexes


Fundamentally based indexes are indices in which stocks are weighted by one of many economic fundamental factors, especially accounting figures which are commonly used when performing corporate valuation, or by a composite of several fundamental factors. A potential benefit with composite fundamental indices is that they might average out specific sector biases which may be the case when only using one fundamental factor. A key belief behind the fundamental index methodology is that underlying corporate accounting/valuation figures are more accurate estimators of a company's intrinsic value, rather than the listed market value of the company, i.e. that one should buy and sell companies in line with their accounting figures rather than according to their current market prices. In this sense fundamental indexing is linked to so-called fundamental analysis.
The fundamental factors commonly used by fundamental index managers are sales, earnings, book value, cash flow and dividends. Even the number of employees have been used in empirical studies on fundamental indexation. Fundamental indices are often contrasted to capitalization-weighted indices. Fundamentally based indices were arguably pioneered by Research Affiliates, which first circulated research on the methodology in mid-2004. However, the method is in practice very similar to the so-called Core Equity Strategy-method launched by Dimensional Fund Advisors during the same year. They are similar since DFA evaluates weight of small cap stocks and value stocks in a direct way whereas RA evaluates weight of small cap stocks and value stocks in a more indirect way. Furthermore, fundamental indexation is also seen by some people as merely a practical application and repackaging of the findings of one of the most famous journal articles in modern financial economics: "The Cross-Section of Expected Stock Returns" by Fama & French. This is because the key characteristic of fundamental indices is that they have a combined relative small cap and value stock tilt vs. a capitalization-weighted index, which is for example explicitly shown in a Swedish context by Olof Andersson in his Thesis "Irrational Indexation". Fundamental indices ride on the small cap and the value stock premiums which have been present in international stock markets during the last 30–40 years so it is not strange that they might beat the market. Thus, a fundamental index does not actually buy companies in line with only their accounting figures, but rather companies with high accounting figures which at the same time exhibit low market values. A fundamental index is thus not really value indifferent indexing contrary to claims of its inventors. The current challenge of fundamental index managers is to conclusively prove that their index funds provide more value than merely riding on the small cap and the value stock premium, if possible, in order to legitimate the fees charged by these managers. There is some evidence, statistical significance, that fundamental indices create more value but there is yet any evidence known of economic significance.

Rationale of weighting by fundamentals versus other methods of index weighting

The traditional method of capitalization-weighting indices might by definition imply overweighting overvalued stocks and underweighting undervalued stocks, assuming a price inefficiency. Since investors cannot observe the true fair value of a company, they cannot remove inefficiency altogether but may be able to remove the systematic inefficiency that is arguably inherent in capitalization-weighted indices. Equal-weighting is one method to remove this claimed inefficiency but suffers from high turnover, high volatility, and the requirement to invest potentially large sums in illiquid stocks.
Weighting by fundamental factors avoids the pitfalls of equal weighting while still removing the claimed systematic inefficiency of capitalization weighting. It weights industries by fundamental factors such as sales, book value, dividends, earnings, or employees. If a stock’s price gets either too high or too low relative to its fair value, weighting by fundamentals will not reflect this bias as far as there is not perfect correlation between stock prices and economic fundamentals. However, the correlation is quite close since the economic fundamentals used are commonly driving the value of a stock. If we assume no correlation in line with Robert Arnott, this arguably prevents fundamentally based indices from participating in bubbles and crashes and thus reduces its volatility while delivering a higher return. However, the strong underperformance of fundamental indices in 2008 when companies such as banks with large fundamentals crashed has shown that it may not prevent it from participating in stock market crashes. When fundamentals change rapidly so may the stock price.

Empirical evidence

If the assumptions of the Capital Asset Pricing Model do not hold then there could be three states of the world in line with the so-called joint hypothesis problem explained by Campbell :
  1. The capitalization-weighted market portfolio is not efficient.
  2. The CAPM model is not an efficient pricing model.
  3. Both the cap-weighted market portfolio and the CAPM model are inefficient.
If we assume that the capitalization-weighted market portfolio is not efficient, assuming a pricing inefficiency, capitalization-weighting might be sub-optimal and the degree of sub-performance might be proportional to the degree of random noise.
Forty years of back-tested Indices weighted by any of several fundamental factors including sales, EBIT, earnings, cash flow, book value, or dividends in U.S. markets outperformed the S&P 500 by approximately 2% per annum with volatility similar to the S&P 500. Thus, fundamentally based indices also had a higher Sharpe ratio than capitalization-weighted indices. In non-U.S. markets, fundamentally based indices outperformed capitalization weighted indices by approximately 2.5% with slightly less volatility and outperformed in all 23 MSCI EAFE countries.
Financial economists — Walkshäusl and Lobe — investigate the performance of global and 50 country-specific fundamentally weighted indices compared to capitalization-weighted indices between 1982 and 2008. First, they establish that superior performance of domestic indices diminishes considerably when applying a bootstrap procedure for robust performance testing. Second, even after controlling for data snooping biases and the value premium, they find evidence that fundamental indexing produces economically and statistically significant positive alphas. This holds for global and country-specific versions which are heavily weighted in the world portfolio.

Criticisms and responses

Since the first research was disseminated, fundamentally based indices have been criticized by proponents of capitalization weighting including John Bogle, Burton Malkiel, and William Sharpe. The opposing opinions rely heavily on opposing assumptions. Proponents claiming a new revolutionary paradigm in index fund investing such as for example Robert D. Arnott, Jeremy Siegel and Jack Treynor — all affiliated with fundamental index funds — assume somewhat irrational markets whereas the opponents mentioned — some affiliated with conventional index funds — assume more rational and efficient markets. Responses to criticisms have come primarily from the publications of one of the founders of fundamentally based indices, Robert Arnott.