Objective research to aid investing decisions

Value Investing Strategy (Strategy Overview)

Allocations for July 2025 (Final)
Cash TLT LQD SPY

Momentum Investing Strategy (Strategy Overview)

Allocations for July 2025 (Final)
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Fundamental Valuation

What fundamental measures of business success best indicate the value of individual stocks and the aggregate stock market? How can investors apply these measures to estimate valuations and identify misvaluations? These blog entries address valuation based on accounting fundamentals, including the conventional value premium.

Are Stock Quality ETFs Working?

Are stock quality strategies, as implemented by exchange-traded funds (ETF), attractive? To investigate, we consider six ETFs, all currently available (from oldest to youngest):

  • Invesco S&P 500 Quality ETF (SPHQ) – seeks to track performance of S&P 500 stocks with the highest quality scores based on firm return on equity, accruals ratio and financial leverage ratio, reformed semi-annually. The benchmark is SPDR S&P 500 (SPY).
  • iShares Edge MSCI USA Quality Factor ETF (QUAL) – seeks to track performance of U.S. large-capitalization and mid-capitalization stocks selected based return on firm equity, earnings variability and debt-to-equity. The benchmark is SPY.
  • iShares Edge MSCI Intl Quality Factor ETF (IQLT) – seeks to track performance of large-capitalization and mid-capitalization developed international stocks screened for attractive return-on-equity, earnings variability and debt-to-equity. The benchmark is iShares MSCI ACWI ex U.S. ETF (ACWX).
  • Fidelity Quality Factor ETF (FQAL) – seeks to track performance of U.S. large-capitalization and mid-capitalization stocks with a higher firm quality profile than the broader market. The benchmark is Vanguard Russell 1000 Index Fund ETF (VONE).
  • JPMorgan U.S. Quality Factor ETF (JQUA) – designed to provide domestic equity exposure with a focus on companies with strong quality and profitability characteristics and the potential to enhance returns. The benchmark is VONE.
  • Vanguard U.S. Quality Factor ETF (VFQY) – applies a rules-based quantitative model to select U.S. common stocks with strong fundamentals (strong profitability and healthy balance sheets) across market capitalizations, sectors and industry groups. The benchmark is iShares Russell 3000 ETF (IWV).

We calculate monthly return statistics, along with compound annual growth rates (CAGR) and maximum drawdowns (MaxDD). Using monthly returns for the stock quality ETFs and benchmarks as available through June 2025, we find that:

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Stock Market Earnings Growth and Returns

Do S&P 500 earnings growth rates predict S&P 500 Index (SP500) returns? To investigate, we relate actual 12-month SP500 operating earnings growth rate and as-reported earnings growth rate measured quarterly to SP500 quarterly return. We use 12-month earnings growth rates to avoid confounding calendar effects. Actual earnings releases for a quarter occur throughout the next quarter. Using quarterly S&P 500 earnings and index levels during March 1988 through June 2025, we find that:

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Stock Market Valuation Ratio Trends

To determine whether the stock market is expensive or cheap, some experts use aggregate valuation ratios, either trailing or forward-looking, such as earnings-price ratio (E/P) and dividend yield. Under belief that such ratios are mean-reverting, most imminently due to movement of stock prices, these experts expect high (low) future stock market returns when these ratios are high (low). Where are the ratios now and how are they changing during recent months? Using recent actual and forecasted earnings and dividend data from Standard & Poor’s and associated S&P 500 Index levels as available through June 2025, we find that: Keep Reading

Is Morningstar’s Fair Market Value of Value?

A subscriber commented and asked:

“I have been wondering whether Morningstar’s estimate of ‘fair value’ for stocks has any relationship to actual subsequent returns. For instance, when the fair value is more than double the market price, is the return over the next year substantially greater than for stocks where the fair value is less than half the market price? I haven’t found anything like this on your site, only an assessment of mutual fund ratings which is a very different matter.”

As an alternative, tractable investigation, we hand collect end-of-month Morningstar price relative to Fair Market Value (P/FMV) for the overall stock market from their 5-year historical chart. We then relate those P/FMVs to monthly returns for SPDR S&P 500 ETF (SPY) over the same period. Using monthly Morningstar P/FMVs and SPY returns during May 2020 through April 2025, we find that: Keep Reading

S&P 500 Price-to-Sales Ratio and Stock Market Returns

A subscriber suggested looking at the S&P 500 price-to-sales ratio (P/S) as an indicator for timing the U.S. stock market. To investigate, we relate P/S and change in P/S to S&P 500 Index (SP500) quarterly returns, as follows:

  1. Conduct lead-lag analyses for quarterly P/S versus quarterly SP500 returns, and for quarterly change in P/S versus quarterly SP500 returns.
  2. Calculate average next-quarter SP500 returns by range of quarterly values of P/S and quarterly changes in P/S.

Using quarterly S&P 500 P/S data since the end of December 2000 and quarterly closing SP500 levels since September 2000, both through Mar 2025, we find that: Keep Reading

Earnings Growth vs. Multiple Expansion Over the Last Decade

Are all stocks except U.S. growth cheap? In his brief February 2025 paper entitled “Decomposing Equity Returns: Earnings Growth vs. Multiple Expansion”, David Blitz decomposes equity returns of different global equity markets and styles (size, low-volatility, value) into dividend yield, earnings growth and multiple expansion. The decomposition consists of:

  • Subtracting price return from total return to derive the contribution from dividends.
  • Calculating the part of price return due to earnings growth.
  • Attributing the part of price return not due to earnings growth to multiple expansion/contraction based on change in price-to-earnings ratio (P/E).

The breakdown exposes different reasons for underperformance of markets and styles relative to the U.S. equity market. Using the specified data for 2015 through 2024, he finds that: Keep Reading

Bottom-up ERP Estimation by Deep Learning

Do stock-by-stock return forecasts from deep learning produce an exploitable aggregate equity risk premium (ERP) forecast? In the January 2025 revision of their paper entitled “The Aggregated Equity Risk Premium”, Vitor Azevedo, Christoph Riedersberger and Mihail Velikov predict ERP by first applying deep learning to predict returns for individual U.S. stocks and then aggregating these returns at the market level. The firm-level forecasts come from combined outputs of several neural networks of varying complexity applied to 290 firm-level characteristics, 14 U.S. economic variables and 49 industry classification indicators. They iterate these forecasts annually using an expanding training window and a rolling six-year validation window. For comparison, they consider some conventional ERP forecasting approaches. They quantify the economic value of aggregate ERP forecasts via a stock market timing strategy that each month allocates to stocks or U.S. Treasury bills with a 50% leverage limit and conservative 0.5% portfolio rebalancing frictions. Using the specified inputs during March 1957 through December 2021 (with out-of-sample testing commencing January 2000), they find that:

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Bitcoin Supply and Demand Price Forecast Scenarios

What do expectations for Bitcoin supply and demand imply for the future trajectory of its price? In the January 2025 revision of their paper entitled “A Supply and Demand Framework for Bitcoin Price Forecasting”, Murray Rudd and Dennis Porter construct a supply-and-demand model to forecast Bitcoin price trajectory. Their model combines a fixed, inelastic supply with demand drivers consisting of accumulation for strategic reserves, institutional adoption and other long-term holders. They consider a conservative scenario calibrated to April 2024 and December 2024 Bitcoin market snapshots and a bullish scenario with more aggressive institutional adoption. Based on an array of supply and demand assumptions and the market snapshots, they find that:

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Which PE Is Best?

Which price-to-earnings ratio is best for screening stocks? In the November 2024 first version of his paper entitled “Forward Price-Earnings Ratio”, Luca Conrads compares the practical abilities of seven price-to-earnings ratios to predict S&P 500 returns (see the chart below for four of these seven):

  1. Conventional price-to-earnings (PE) – current price divided by prior-year actual earnings.
  2. Cyclically Adjusted Price-to-Earnings (CAPE) – current price divided by average annual inflation-adjusted earnings over the last 10 years.
  3. Cyclically Adjusted Price-to-Earnings (CAPE5) – current price divided by average annual inflation-adjusted earnings over the last five years.
  4. Forward Price-to-Earnings Analysts (FPEA) – current price divided by next-year annual earnings as forecasted by analyst consensus.
  5. Average Forward Price-to-Earnings Analysts (AFPEA) – current price divided by average annual earnings over the next five years as forecasted by analyst consensus.
  6. Forward Price-to-Earnings Mechanical (FPEM) – current price divided by next-year annual earnings as mechanically forecasted via ordinary least squares (OLS).
  7. Average Forward Price-to-Earnings Mechanical (AFPEM) – current price divided by average annual earnings over the next five years as mechanically forecasted via OLS.

He each quarter for each ratio ranks all S&P 500 stocks with positive ratios into equal-weighted fifths (quintiles) and applies four separate portfolio strategies:

  1.  Assign weights of 30%, 20%, 20% 20% and 10% to quintiles 1, 2, 3, 4 and 5, respectively.
  2. Invest only in quintile 1.
  3. Modify Strategy 1 by taking a 130% position in quintile 1 and a -30% (short) position in quintile 5.
  4. Modify Strategy 1 by taking a 200% position in quintile 1 and a -100% in quintile 5.

He then estimates and deducts quarterly portfolio reformation transaction costs for each ratio-strategy combination. His benchmark is the equal-weighted portfolio of all S&P 500 stocks. Using a broad sample of all listed U.S. stocks and firm fundamentals to evaluate earnings forecasts and a narrower sample of S&P 500 data for strategy tests during 1981 through 2023 (with tests commencing in 1991), he finds that:

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Testing the Stock Market Earnings Yield-TIPS Yield Delta

“Predicting Stock Market Return with Stocks-TIPS Yield Delta” summarizes results of a study finding that deviations of the S&P 500 earnings yield from the real government bond yield, as measured by the 10-year Treasury Inflation-Protected Securities (TIPS) coupon yield, has statistical power to predict future stock market returns. To corroborate this finding from an investing perspective, we:

Using monthly data as specified during January 2003 (limited by the TIPS series) through November 2024, we find that: Keep Reading

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