Equity Premium
Governments are largely insulated from market forces. Companies are not. Investments in stocks therefore carry substantial risk in comparison with holdings of government bonds, notes or bills. The marketplace presumably rewards risk with extra return. How much of a return premium should investors in equities expect? These blog entries examine the equity risk premium as a return benchmark for equity investors.
October 8, 2024 - Equity Premium, Technical Trading
Short-term reversal is a widely accepted stock return anomaly, with the long-only version glibly termed “buy the dip.” Is short-term reversal readily exploitable? As a live test, we look at the performance of Vesper U.S. Large Cap Short-Term Reversal Strategy ETF (UTRN). This fund seeks to capture bounces of stocks with recent sharp declines by each week:
- Calculating for the 500 largest U.S. stocks a metric similar to the Sharpe ratio but using an asymmetric volatility to find overreaction dips in downtrending stocks (the Chow ratio).
- Initially buying the 25 stocks with the lowest Chow ratios.
- Selling any holdings for which the Chow ratio has risen out of the bottom 50 and replacing them with bottom 25 stocks.
The restriction to large stocks and the differing buy and sell rules suppress trading frictions/portfolio turnover. The benchmark is SPDR S&P 500 ETF Trust (SPY). Using monthly dividend-adjusted returns for UTRN and SPY from the inception of the former in September 2018 through August 2024, we find that: Keep Reading
October 7, 2024 - Big Ideas, Equity Premium
Why have stock return anomalies generally degraded over recent decades? In their August 2024 paper entitled “What Drives Anomaly Decay?”, Jonathan Brogaard, Huong Nguyen, Tālis Putniņš and Yuchen Zhang examine why stock return anomalies decay by:
- Decomposing returns into market-wide, public firm-specific and private firm-specific elements.
- Separating cash flow and discount rate effects within each of these three components.
- Accounting for noise.
This breakdown lets them determine whether changes in anomaly returns over time derive from anomaly publication, identifiable liquidity shocks (such as stock price decimalization) or a more general increase market efficiency. They apply this approach to daily returns of long-short (hedge) portfolios, reformed monthly, for 204 stock return anomalies from Open Source Asset Pricing. Using the required firm characteristics and daily prices for all NYSE/AMEX/NASDAQ common stocks during 1956 through 2021 (an average 4,029 firms per year and a total of 16,966 firms), they find that:
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October 4, 2024 - Bonds, Commodity Futures, Economic Indicators, Equity Premium, Gold, Real Estate
How do returns of different asset classes recently interact with the Effective Federal Funds Rate (EFFR)? We focus on monthly changes (simple differences) in EFFR and look at lead-lag relationships between change in EFFR and returns for each of the following 10 exchange-traded fund (ETF) asset class proxies:
- Equities:
- SPDR S&P 500 (SPY)
- iShares Russell 2000 Index (IWM)
- iShares MSCI EAFE Index (EFA)
- iShares MSCI Emerging Markets Index (EEM)
- Bonds:
- iShares Barclays 20+ Year Treasury Bond (TLT)
- iShares iBoxx $ Investment Grade Corporate Bond (LQD)
- iShares JPMorgan Emerging Markets Bond Fund (EMB)
- Real assets:
- Vanguard REIT ETF (VNQ)
- SPDR Gold Shares (GLD)
- Invesco DB Commodity Index Tracking (DBC)
Using end-of-month EFFR and dividend-adjusted prices for the 10 ETFs during December 2007 (limited by EMB) through August 2024, we find that: Keep Reading
October 3, 2024 - Economic Indicators, Equity Premium
Do changes in the Effective Federal Funds Rate (EFFR), the actual cost of short-term liquidity derived from a combination of market demand and Federal Reserve open market operations designed to maintain the Federal Funds Rate (FFR) target, predictably influence the U.S. stock market over horizons up to a few months? To investigate, we relate smoothed (volume-weighted median) monthly levels of EFFR to monthly U.S. stock market returns (S&P 500 Index or Russell 2000 Index) over available sample periods. Using monthly data as specified since July 1954 for EFFR and the S&P 500 Index (limited by EFFR) and since September 1987 for the Russell 2000 Index, all through August 2024, we find that: Keep Reading
October 2, 2024 - Equity Premium
Can machine learning exploit interactions between many equity factors and many potential factor return predictors to create an attractive factor timing strategy? In their August 2024 paper entitled “Optimal Factor Timing in a High-Dimensional Setting”, Robert Lehnherr, Manan Mehta and Stefan Nagel apply machine learning with mean-variance optimization to time equity factors when the numbers of factors and potential factor return predictors are large. They consider both a small set of four (size, book-to-market, profitability and investment) and a much larger set of 131 factors. They focus on a small set of 11 potential predictors (five economic variables and six specific to the small set of factors) but consider also a much larger set augmenting those 11 with many other factor specific variables. They simplify outputs by suppressing the weakest signals. Their machine learning process each year uses an expanding window of at least 20 years for training, one year for validation and one year for testing. They focus on Sharpe ratio as the essential performance metric. Their benchmarks are annually rebalanced: (1) equal weighting of factors; and, (2) straightforward mean-variance optimization of factors that ignores interactions between factors and potential predictors. To estimate net performance, they apply 0.1% portfolio reformation frictions at the portfolio of factors (not factor) level. Using monthly factor portfolio returns and economic variable values during January 1965 through December 2022, with 1986 the first year of portfolio testing, they find that: Keep Reading
September 20, 2024 - Equity Premium
How has the immediate price impact associated with a stock entering or leaving the S&P 500 evolved? In the March 2024 revision of their paper entitled “The Disappearing Index Effect”, Robin Greenwood and Marco Sammon revisit abnormal returns during the trading day after S&P 500 additions and deletions and investigate four potential drivers of findings. Using announcement dates, implementation dates and daily returns for 732 S&P 500 additions and 726 S&P 500 deletions, and holdings of large U.S. equity funds, during 1980 through 2020, they find that:
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September 19, 2024 - Calendar Effects, Equity Premium
Do stock markets following predictable long boom and bust periods? In the August 2024 draft of their paper entitled “The Anatomy of Lost Stock Market Decades”, Todd Feldman and Brian Yang examine the regularity/frequency of bull periods (strong gains) and lost periods (no gains) of at least 10 years. They also test two metrics to identify when the S&P 500 Index is in a bull or lost period: (1) the ratio of the S&P 500 Index level to a dividend discount model (DDM) valuation of the index; and, (2) an exponential cumulative loss metric calibrated via a 20-year moving average (weighting recent losses more than older losses to sharpen regime shift detection). Using monthly stock market levels from Global Financial Data for the U.S., Canada, Japan, Australia, Germany and France and Robert Schiller’s data for the S&P Composite Index from the 1800s through 2023, they find that:
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September 18, 2024 - Equity Premium
Are preferred stock strategies, as implemented by exchange-traded funds (ETF), attractive? To investigate, we consider seven of the largest preferred stock ETFs, all currently available, in order of longest to shortest available histories:
We use a monthly rebalanced portfolio of 60% SPDR S&P 500 (SPY) and 40% iShares iBoxx $ Investment Grade Corporate Bond (LQD) (60-40) as a simple hybrid benchmark for all these funds except PGF, for which we use Financial Select Sector SPDR (XLF). We focus on monthly return statistics, along with compound annual growth rates (CAGR) and maximum drawdowns (MaxDD). Using monthly returns for the preferred stock ETFs and benchmarks as available through August 2024, we find that: Keep Reading
September 13, 2024 - Equity Premium, Momentum Investing, Size Effect, Value Premium, Volatility Effects
Are equity multifactor strategies, as implemented by exchange-traded funds (ETF), attractive? To investigate, we consider eight multifactor ETFs, all currently available:
- iShares Edge MSCI Multifactor USA (LRGF) – holds large and mid-cap U.S. stocks with focus on quality, value, size and momentum, while maintaining a level of risk similar to that of the market. The benchmark is iShares Russell 1000 (IWB).
- iShares Edge MSCI Multifactor International (INTF) – holds global developed market ex U.S. large and mid-cap stocks based on quality, value, size and momentum, while maintaining a level of risk similar to that of the market. The benchmark is iShares MSCI ACWI ex US (ACWX).
- Goldman Sachs ActiveBeta U.S. Large Cap Equity (GSLC) – holds large U.S. stocks based on good value, strong momentum, high quality and low volatility. The benchmark is SPDR S&P 500 (SPY).
- John Hancock Multifactor Large Cap (JHML) – holds large U.S. stocks based on smaller capitalization, lower relative price and higher profitability, which academic research links to higher expected returns. The benchmark is SPY.
- John Hancock Multifactor Mid Cap (JHMM) – holds mid-cap U.S. stocks based on smaller capitalization, lower relative price and higher profitability, which academic research links to higher expected returns. The benchmark is SPDR S&P MidCap 400 (MDY).
- JPMorgan Diversified Return U.S. Equity (JPUS) – holds U.S. stocks based on value, quality and momentum via a risk-weighting process that lowers exposure to historically volatile sectors and stocks. The benchmark is SPY.
- Xtrackers Russell 1000 Comprehensive Factor (DEUS) – seeks to track, before fees and expenses, the Russell 1000 Comprehensive Factor Index, which seeks exposure to quality, value, momentum, low volatility and size factors. The benchmark is IWB.
- Vanguard U.S. Multifactor (VFMF) – uses a rules-based quantitative model to evaluate U.S. common stocks and construct a U.S. equity portfolio that seeks to achieve exposure to multiple factors across market capitalizations (large, mid and small). The benchmark is iShares Russell 3000 (IWV).
We focus on monthly return statistics, along with compound annual growth rates (CAGR) and maximum drawdowns (MaxDD). Using monthly returns for the seven equity multifactor ETFs and benchmarks as available through August 2024, we find that: Keep Reading
September 12, 2024 - Big Ideas, Bonds, Commodity Futures, Equity Premium, Real Estate
How does the performance of the global multi-class market look when evaluated at a monthly frequency? In their August 2024 paper entitled “The Risk and Reward of Investing”, Ronald Doeswijk and Laurens Swinkels assess global investing rewards and risks via an exhaustive $150 trillion portfolio of investable global assets priced at a monthly frequency, enabling greater granularity of risk estimates than does the annual frequency used in prior research. They consider five asset classes: equities, real estate, non-government bonds, government bonds and commodities. For these classes and the multi-class market, they examine stability of Sharpe ratios and severity, frequency and duration of drawdowns. Their default base currency is the U.S. dollar, but they measure effects of choosing one of nine other currencies on global market portfolio performance. They calculate excess investment returns generally relative to government bill yields as a proxy for return on savings. Using monthly returns for all investable global assets with reinvested dividends during 1970 through 2022, they find that:
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