Equity Premium

Do annual stock market swing returns swing around their average like a pendulum? In the November update of his 2022 paper entitled “Periodic Structure of Equity Market Annual Returns and Their Predictability”, Daniel Pinelis investigates whether annual returns of the S&P 500 Index and the NASDAQ Composite Index exhibit reliable periodicity. Specifically, he models an oscillator indicator that accumulates directional imbalances in annual stock index returns and applies the indicator, in combination with statistical, graphical and machine learning methods, to estimate extent and timing of further market declines from the current levels. Using annual returns for the S&P 500 Index since the mid-1960s and for the NASDAQ Composite Index since the early 1970s, both through late 2022, he finds that:

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Is option gamma, which indicates how aggressively option market makers must trade underlying stocks to hedge their option positions, a systematic driver of those stock returns? In his October 2022 paper entitled “Option Gamma and Stock Returns”, Amar Soebhag investigates the relationship between option gamma for individual stocks and future returns of those stocks. He defines net gamma exposure of a stock as a hedge-adjusted, gamma-weighted sum of open interest for options written on the stock. He each month sorts stocks into value-weighted tenths (deciles) by net gamma for the previous month and calculates next-month returns on the decile portfolios, with focus on the difference in returns between extreme deciles. He then looks at behavior of net gamma across stocks, interactions of net gamma with other stock return predictors and time variation of aggregate net gamma. Using daily gamma, open interest, implied volatility and trading volume for each option contract on listed U.S. common stocks price over $5 as available during January 1996 through December 2021, as well as contemporaneous returns for underlying stocks and data for other widely accepted stock return predictors, he finds that:

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Is the level, or changes in the level, of Federal Reserve (Fed) holdings of U.S. Treasuries (bills, notes, bonds and TIPS, measured weekly as of Wednesday) an indicator of future stock market and/or Treasuries returns? To investigate, we take dividend-adjusted SPDR S&P 500 (SPY) and iShares Barclays 20+ Year Treasury Bond (TLT) as tradable proxies for the U.S. stock and Treasuries markets, respectively. Using weekly Fed holdings of Treasuries, and SPY and TLT total returns during mid-December 2002 through late October 2022, we find that: Keep Reading

Are many accepted equity factors/return anomalies artifacts of the secular decline in interest rates during their discovery sample periods? In their September 2022 paper entitled “The Factor Multiverse: The Role of Interest Rates in Factor Discovery”, Jules van Binsbergen, Liang Ma and Michael Schwert study the role of the secular decline in interest rates since the early 1980s in the discovery of equity factors/return anomalies. They use value-weighted long-short portfolios and monthly reformation for all factors/anomalies. They apply duration-matched fixed income portfolio return adjustments to returns for each anomaly portfolio to model returns for the latter if there had been no interest rate decline. They then classify each anomaly as false positive (present for unadjusted returns, but not adjusted returns), false negative (present for adjusted returns, but not unadjusted returns) or robust to the effect of interest rates (present for both unadjusted and adjusted returns). Using monthly returns for 153 accepted factors/anomalies over respective original test periods and for 1,395 potential undiscovered factors/anomalies based on firm accounting variables during July 1962 through December 2020, along with contemporaneous yield data for zero coupon U.S. Treasury bonds and notes, they find that:

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Market commentators sometimes cite a high Chicago Board Options Exchange (CBOE) Volatility Index (VIX), the options-implied volatility of the S&P 500 Index as an indicator of investor sentiment and therefore a contrarian signal for the stock market. Specifically, a relatively high (low) VIX indicates panic (complacency) and therefore pending stock market strength (weakness). Does evidence support such conventional wisdom? To check, we relate the level of VIX to S&P 500 Index returns over the next 5, 10, 21, 63 and 126 trading days. Using daily closes for VIX and the S&P 500 Index during January 1990 (limited by the VIX series) through September 2022, we find that: Keep Reading

Is growing interest in environmental, social, and governance (ESG) issues among investors and asset managers materially affecting stock selection decisions and associated returns? In the September 2022 version of their paper entitled “The Economic Impact of ESG Ratings”, Florian Berg, Florian Heeb and Julian Kölbel measure impacts of ESG rating changes on associated mutual fund holdings and stock returns. They focus on average abnormal holdings changes and average cumulative abnormal returns from: (1) 12 months before rating change up to the change, and (2) from the ratings change through 24 months after the change. Abnormal returns control for firm leverage, size, book-to-market ratio and profitability, and for stock return beta and momentum. Using quarterly fundamentals and monthly stock returns and ESG-dedicated mutual fund holdings for 3,665 firms with a total of 2,545  MSCI ESG rating upgrades and 2,133 downgrades during February 2013 through September 2020, they find that:

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Do environmental, social, and corporate governance (ESG) ratings aggregated across individual firms predict overall stock market returns? In the July 2022 version of their paper entitled “ESG and the Market Return”, Ran Chang, Liya Chu, Bohui Zhang, Guofu Zhou and Jun Tu investigate whether ESG ratings in aggregate predict overall stock market returns. Specifically, they each month:

• Combine 38 firm-level ESG subcategory ratings via equal weighting to calculate 38 market-level ESG measures.
• Apply machine learning tools to these market-level measures to suppress noise and redundancies and generate 14 market-level predictors.
• Aggregate the 14 predictors into a market-level composite ESG index, and similarly develop market-level environmental, social and governance ESG subindexes.
• Use full-sample (in-sample) regression to relate ESG index/subindexes to next-month and next-year stock market excess return (value-weighted stock market return minus U.S. Treasury bill yield).
• Use the first seven years of the sample as the initial training period and the rest of the data as an out-of-sample forecast evaluation period.

Using monthly firm ESG data from Morningstar Sustainalytics and stock market excess returns during August 2009 (ESG measurement inception) through September 2019, they find that: Keep Reading

Is the gap between the yield on the 10-year constant maturity U.S. Treasury note (T-note) and the 10-Year breakeven inflation rate (a measure of expected inflation over the next 10 years derived from T-note yield and 10-Year Treasury inflation-indexed constant maturity securities yield) indicative of future stock market or U.S. Treasury bond yields? To investigate, we relate monthly values of this gap (the expected real T-note gap) and changes in the gap to future monthly returns for SPDR S&P 500 ETF Trust (SPY) and iShares 20+ Year Treasury Bond ETF (TLT). Using monthly values for the four series during January 2003, limited by the breakeven inflation rate series, through July 2022, we find that: Keep Reading

Which variables deserve greatest focus when predicting stock market returns? In their July 2022 paper entitled “Searching for the Best Conditional Equity Premium Model”, Hui Guo, Saidat Sanni and Yan Yu exhaustively explore combinations of 18 previously identified potential stock market return predictors to isolate the most powerful subset. They focus on a best subset selection method with a penalty on complexity, thereby suppressing data snooping bias and selecting a manageable subset. For robustness, they consider four alternative variable selection methods. Using quarterly U.S. data for these 18 variables and S&P 500 Index levels/returns during 1947 through 2020, they find that: Keep Reading

A subscriber asked whether a rapid, large (20% or more) individual country currency devaluation versus the U.S. dollar indicates that the country’s stock market will rise the next quarter (with country exports presumably more competitive post-devaluation). To investigate, we select five currency exchange rates versus the U.S. dollar and relate monthly and quarterly changes in these rates to next-month and next-quarter total returns in U.S. dollars on exchange-traded funds (ETF) for respective country stock markets, as follows:

1. Malaysia: Ringgit to U.S. Dollar and iShares MSCI Malaysia ETF (EWM).
2. South Korea: Won to U.S. Dollar and iShares MSCI South Korea ETF (EWY).
3. Brazil: Real to U.S. Dollar and iShares MSCI Brazil ETF (EWZ).
4. China: Yuan Renminbi to U.S. Dollar and SPDR S&P China ETF (GXC).
5. India: Rupee to U.S. Dollar and iShares India 50 ETF (INDY).

We consider both linear relationships and outlier relationships (> 20% devaluations). Using monthly and quarterly changes/dividend-adjusted returns for the selected currency/equity ETF pairs as available (all limited by ETF histories) through June 2022, we find that: Keep Reading