Size Effect

What characteristics of U.S. equity factor return series are most relevant to respective factor performance? In his May 2023 paper entitled “The Cross-Section of Factor Returns” David Blitz explores long-term average returns and market alphas, 60-month market betas and factor performance cyclicality for U.S. equity factors. He also assesses potentials of three factor rotation strategies: low-beta, seasonal and return momentum. Using monthly returns for 153 published U.S. equity market factors, classified statistically into 13 groups, during July 1963 through December 2021, he finds that:

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Can investors improve long-term retirement portfolio outcomes by targeting equity factor premiums in their stock allocations? In his April 2023 paper entitled “How Targeting the Size, Value, and Profitability Premiums Can Improve Retirement Outcomes”, Mathieu Pellerin investigates whether stock portfolios that target size, value and profitability factor premiums better sustain retirement spending and generate larger bequests than those holding the broad stock market. His hypothetical investor:

• Starts saving at 25, retires at 65 and dies at 95.
• Initially allocates 100% to stocks, at age 45 reduces this allocation linearly to 50% at age 65 by shifting to bonds, and thereafter maintains 50%/50% stocks/bonds.
• Makes $1,042 monthly contributions ($12,500 per year, or $500,000 from age 25 to 65).
• After retirement, withdraws (consumes) a constant annual 4% in real terms of the balance at retirement.
• For the stock allocation, chooses either a broad value-weighted market index (CRSP 1-10) or the Dimensional US Adjusted Market 1 index that emphasizes size, value and profitability factors with low turnover.
• Earns real annual broad stock market returns of either 8.1% (actual historical average) or 5.0% (a conservative 5th percentile of historical return distribution).
• For the bond allocation, holds 5-year U.S. Treasury notes.

He simulates 100,000 lifecycles by, for each lifecycle: (1) extracting 70-year (840-month) real asset class return subsamples from the full histories; and, (2) applying block bootstrapping with 10-year mean block size to generate lifecycle portfolio returns. Using monthly historical returns for the specified stock/bond proxies and monthly U.S. inflation data during June 1927 through December 2022, he finds that:

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Do the widely used U.S. stock return factors exhibit long-term trend changes and shorter-term cyclic behaviors? In his November 2022 paper entitled “Trends and Cycles of Style Factors in the 20th and 21st Centuries”, Andrew Ang applies various methods to compare trends and cycles for equity value, size, quality, momentum and low volatility factors, with focus on a breakpoint at the end of 2000. He measures size using market capitalization, value using book-to-market ratio, quality using operating profitability, momentum using return from 12 months ago to one month ago and low volatility using idiosyncratic volatility relative to the Fama-French 3-factor (market, size, book-to-market) model of stock returns. He each month for each factor sorts stocks into tenths, or deciles, and computes gross monthly factor return from a portfolio that is long (short) the average return of the two deciles with the highest (lowest) expected returns. As a benchmark, he uses the value-weighted market return in excess of the U.S. Treasury bill yield. Using market and factor return data from the Kenneth French data library during July 1963 through August 2022, he finds that:

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Why do equal-weighted (EW) portfolios outperform their market capitalization-weighted, or value-weighted (VW), counterparts over multiple decades in various investment universes? In their November 2022 paper entitled “Why Do Equally Weighted Portfolios Beat Value-Weighted Ones?”, Alexander Swade, Sandra Nolte, Mark Shackleton and Harald Lohre analyze drivers of differences in performance between EW and VW U.S. stock portfolios over six decades. They also assess consistency of performance drivers. Using monthly returns for a very broad sample of U.S. common stocks and monthly stock factor returns during July 1963 through December 2021, they find that:

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A subscriber, referring to a March 2016 commentary stating that “microcap stocks offer investors one of the best opportunities for consistent, long-term excess returns,” inquired about the performance of quality-value-momentum microcap strategy described therein. To assessment this strategy, we compare the self-reported annual performance of the O’Shaughnessy Micro Cap strategy (OSMC) as of June 2022 (now maintained by Franklin Templeton) to that of simply buying and holding SPDR S&P 500 ETF Trust (SPY). Using annual self-reported OSMC net returns and matched dividend-adjusted SPY returns during August 2007 through June 2022, we find that: Keep Reading

Multifactor funds offer rules-based, diversified exposures to firm/stock factors found to beat the market in academic studies. Do the funds beat the market in real life? In his June 2022 paper entitled “Multifactor Funds: An Early (Bearish) Assessment”, Javier Estrada assesses performance of such funds across U.S., global and emerging markets relative to that of corresponding broad capitalization-weighted indexes and associated exchange-traded funds (ETF). He focuses on multifactor funds with exposure to at least three factors that are explicitly marketed as multifactor funds. Using monthly total returns for 56 U.S.-based equity multifactor funds with at least three years of data and $10 million in assets from respective inceptions (earliest June 2014) through March 2022, and total returns for matched broad market indexes and ETFs, he finds that:

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Does the finding from long-short factor analysis that the value premium is stronger among small stocks than large stocks hold for long-only value portfolios? In his April 2022 paper entitled “Long-Only Value Investing: Does Size Matter?”, Jack Vogel investigates interactions between the value premium and market capitalization for U.S. and international stocks. The steps in his main analysis are to each year on June 30:

• Group the 3,000 largest U.S. stocks by market capitalization with non-zero market value of equity into the 1,000 largest firms (large-cap) and the 2,000 smallest (small-cap).
• Rank each group into thirds (terciles), fifths (quintiles) or tenths (deciles) based on each of: (1) book-to-market ratio (B/M); (2) earnings-to-price ratio (E/P); (3) free cash flow-to-price ratio (FCF/P); (4) earnings before interest and taxes-to-total enterprise value ratio (EBIT/TEV); and, (5) the composite rank of these four ratios.
• Measure average monthly returns over the next year of the top ranks based on either equal weights (EW) or value weights (VW).

Using the specified accounting data and stock prices for a broad sample of U.S. firms since July 1973 and for a comparable sample of international developed market firms since January 1994, all through December 2020, he finds that: Keep Reading

Do popular capitalization-based exchange-traded funds (ETF) offer a reliable way to exploit an equity size effect? To investigate, we look at the difference in returns (small minus big) between:

• iShares Russell 2000 Index (Smallcap) Index (IWM), and
• SPDR S&P 500 (SPY)

Using monthly dividend-adjusted closing prices for these ETFs during May 2000 (limited by IWM) through March 2022, we find that: Keep Reading

Do widely accepted equity factor premiums exist in data older than generally employed in academic studies? In their November 2021 paper entitled “The Cross-Section of Stock Returns before 1926 (And Beyond)”, Guido Baltussen, Bart van Vliet and Pim van Vliet look for some of the most widely accepted factor premiums in a newly assembled sample of U.S. stocks spanning January 1866 through December 1926 (61 years of additional and independent data). Specifically, they look at: size as measured by market capitalization; value as measured by dividend yield (strongly associated with earnings during the sample period); stock price momentum from 12 months ago to one month ago; short-term (1-month) return reversal; and, risk as measured by market beta. They use only those stocks which trade frequently and apply liquidity/data quality filters. To measure factor premiums, they each month for each factor:

• Regress next-month stock return versus stock factor value and compute slopes of the relationship.
• Reform a value-weighted hedge portfolio that is long (short) stocks with high (low) expected returns based on factor values to measure: (1) average factor portfolio gross return; and, (2) gross factor (CAPM) alphas and betas based on regression of factor portfolio excess return versus market excess return.

They further investigate economic explanations of factor premiums and test machine learning methods found successful with recent data. Using monthly prices, dividends and market capitalizations for 1,488 stocks in the new database, they find that:

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Trading Calendar presents full-year and monthly cumulative performance profiles for the overall stock market (S&P 500 Index) based on its average daily behavior. How much do the corresponding monthly behaviors of the various size and value/growth styles deviate from an overall equity market profile? To investigate, we consider the the following six exchange-traded funds (ETF) that cut across capitalization (large, medium and small) and value versus growth:

iShares Russell 1000 Value Index (IWD) – large capitalization value stocks.
iShares Russell 1000 Growth Index (IWF) – large capitalization growth stocks.
iShares Russell Midcap Value Index (IWS) – mid-capitalization value stocks.
iShares Russell Midcap Growth Index (IWP) – mid-capitalization growth stocks.
iShares Russell 2000 Value Index (IWN) – small capitalization value stocks.
iShares Russell 2000 Growth Index (IWO) – small capitalization growth stocks.

Using monthly dividend-adjusted closing prices for the style ETFs and SPDR S&P 500 (SPY) during August 2001 through October 2021 (limited by data for IWS/IWP), we find that: Keep Reading