Objective research to aid investing decisions

Value Investing Strategy (Strategy Overview)

Allocations for October 2025 (Final)
Cash TLT LQD SPY

Momentum Investing Strategy (Strategy Overview)

Allocations for October 2025 (Final)
1st ETF 2nd ETF 3rd ETF

Economic Indicators

The U.S. economy is a very complex system, with indicators therefore ambiguous and difficult to interpret. To what degree do macroeconomics and the stock market go hand-in-hand, if at all? Do investors/traders: (1) react to economic readings; (2) anticipate them; or, (3) just muddle along, mostly fooled by randomness? These blog entries address relationships between economic indicators and the stock market.

Yield Curve as a Stock Market Indicator

Conventional wisdom holds that a steep yield curve (wide U.S. Treasuries term spread) is good for stocks, while a flat/inverted curve is bad. Is this wisdom correct and exploitable? To investigate, we consider in-sample tests of the relationships between several yield curve metrics and future U.S. stock market returns and two out-of-sample signal-based tests. Using average monthly yields for 3-month Treasuries (T-bill), 1-year Treasuries, 3-year Treasuries, 5-year Treasuries and 10-year Treasuries (T-note) as available since April 1953, monthly levels of the S&P 500 Index since April 1953 and monthly dividend-adjusted levels of SPDR S&P 500 (SPY) since January 1993, all through September 2025, we find that: Keep Reading

ADP Employment Report and Stock Returns

Since January 2010, the ADP National Employment Report, in collaboration with the Stanford Digital Economy Lab, has published a monthly estimate of U.S. nonfarm private sector employment using actual payroll data. “The ADP National Employment Report is an independent and high-frequency view of the private-sector labor market based on the aggregated and anonymized payroll data of more than 26 million U.S. employees.” Do ADP estimates usefully predict U.S. stock market returns at the monthly release frequency? To investigate, we relate monthly changes in raw ADP employment estimates and in seasonally adjusted ADP employment estimates to monthly SPDR S&P 500 ETF (SPY) total returns. Using the specified monthly data during January 2010 (limited by ADP data) through August 2025, we find that:

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GDP Growth and Stock Market Returns

The U.S. Bureau of Economic Analysis (BEA) each quarter estimates economic growth via changes in Gross Domestic Product (GDP) and its Personal Consumption Expenditures (PCE), Private Domestic Investment (PDI) and government spending components. BEA releases advance, preliminary and final data about one, two and three months after quarter ends, respectively. Do these estimates of economic growth usefully predict stock market returns? To investigate, we relate economic growth metrics to S&P 500 Index returns. Using quarterly and annual seasonally adjusted nominal final GDP data from BEA National Income and Product Accounts Table 1.1.5 as available during January 1929 through September 2025 and contemporaneous levels of the S&P 500 Index, we find that:

Keep Reading

Inflation Forecast Update

The Inflation Forecast now incorporates actual total and core Consumer Price Index (CPI) data for August 2025. The actual total (core) inflation rate is slightly higher than (slightly higher than) forecasted.

BTC Interactions with GLD, CPI and EFFR

Does bitcoin (BTC) return exhibit any exploitable leading or lagging roles with respect to gold (SPDR Gold Shares – GLD) return, change in the all-items consumer price index (CPI) or change in the effective federal funds rate (EFFR) for a monthly measurement interval? To investigate, we compute correlations between monthly BTC return and each of monthly GLD return, change in CPI and change in EFFR for various lead-lag relationships, ranging from BTC return leads other variables by six months (-6) to other variables lead BTC return by six months (6). Using monthly BTC, GLC, CPI and EFFR levels during September 2014 (limited by BTC) through July 2025, we find that: Keep Reading

Recent Interactions of Asset Classes with EFFR

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 July 2025, we find that: Keep Reading

Asset Class ETF Interactions with the Euro

How do different asset classes interact with euro-U.S. dollar exchange rate? To investigate, we consider relationships between Invesco CurrencyShares Euro Currency (FXE) and the exchange-traded fund (ETF) asset class proxies used in the Simple Asset Class ETF Momentum Strategy (SACEMS) or the Simple Asset Class ETF Value Strategy (SACEVS) at a monthly measurement frequency. Using monthly dividend-adjusted closing prices for FXE and the asset class proxies since February 2006 as available through May 2025, we find that: Keep Reading

Asset Class ETF Interactions with the U.S. Dollar

How do different asset classes interact with U.S. dollar valuation? To investigate, we consider relationships between Invesco DB US Dollar Index Bullish Fund (UUP) and the exchange-traded fund (ETF) asset class proxies used in the Simple Asset Class ETF Momentum Strategy (SACEMS) or the Simple Asset Class ETF Value Strategy (SACEVS) at a monthly measurement frequency. Using monthly dividend-adjusted closing prices for UUP and the asset class proxies since March 2007 as available through May 2025, we find that: Keep Reading

Testing IFED ETNs

“Invest with the Fed?” finds that indexes based on the Invest With the Fed (IFED) stock selection strategy beat reasonable benchmarks. How does that finding translate to investable assets? To investigate, we look at performances since inception of two exchange-traded note (ETN) offerings:

  1. ETRACS IFED Invest with the Fed TR Index ETN (IFED), with SPDR S&P 500 ETF Trust (SPY) as a benchmark.
  2. ETRACS 2X Leveraged IFED Invest with the Fed TR Index ETN (FEDL), with ProShares Ultra S&P500 (SSO) as a benchmark.

We focus on average monthly return, standard deviation of monthly returns, monthly reward/risk (average return divided by standard deviation), compound annual growth rate (CAGR) and maximum drawdown (MaxDD) as key performance metrics. Using monthly dividend-adjusted returns for IFED, SPY, FEDL and SSO during September 2021 through May 2025, we find that: Keep Reading

Expert Estimates of 2025 Country Equity Risk Premiums and Risk-free Rates

What are current estimates of equity risk premiums (ERP) and risk-free rates around the world? In their May 2025 paper entitled “Survey: Market Risk Premium and Risk-Free Rate Used for 54 countries in 2025”, Pablo Fernandez, Diego Garcia and Lucia Acin summarize results of an April 2025 email survey of international finance and economic professors, analysts and company managers “about the Risk-Free Rate and the Market Risk Premium (MRP) used to calculate the required return to equity in different countries.” Results are in local currencies. Based on 2,749 specific and credible premium estimates spanning 54 countries for which there are at least six estimates, they find that: Keep Reading

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