Is there a best way to select and weight asset classes for long-term diversification benefits? These blog entries address this strategic allocation question.
Subscribers asked whether substituting Invesco QQQ Trust (QQQ) for SPDR S&P 500 (SPY) in the Simple Asset Class ETF Value Strategy (SACEVS) and the Simple Asset Class ETF Momentum Strategy (SACEMS) improves outcomes. To investigate, we substitute monthly QQQ dividend-adjusted returns for SPY dividend-adjusted returns in the two model strategies. We then compare the modified performance with the original baseline performance, including: gross compound annual growth rates (CAGR) at various horizons, average gross annual returns, standard deviations of gross annual returns, gross annual Sharpe ratios and maximum drawdowns (MaxDD) based on monthly measurements. In Sharpe ratio calculations, we employ the average monthly yield on 3-month U.S. Treasury bills during a year as the risk-free rate for that year. Using the specified methodology and data to generate SACEVS monthly returns starting August 2002 and SACEMS monthly returns starting July 2006, all through February 2026, we find that:
A subscriber asked whether more granularity in international equity choices for the “Simple Asset Class ETF Momentum Strategy” (SACEMS) would improve performance. To investigate, we augment/replace international developed and emerging equity market exchange-traded funds (ETF) such that the universe of assets becomes:
We compare original (SACEMS Base) and modified (SACEMS Granular), each month picking winners from their respective sets of ETFs based on total returns over a fixed lookback interval. We focus on gross compound annual growth rate (CAGR), maximum drawdown (MaxDD) and gross annual Sharpe ratio (average annual excess return divided by standard deviation of annual excess returns, using average monthly T-bill yield during a year to calculate excess returns) as key performance statistics for the Top 1, equally weighted (EW) Top 2 and EW Top 3 portfolios of monthly winners. Using monthly total (dividend-adjusted) returns for the specified assets during February 2006 through February 2026, we find that:Keep Reading
A subscriber requested a test of Ray Dalio‘s All Weather (AW) portfolio with different rebalancing frequencies, allocated to exchange-traded funds (ETF) as asset class proxies as follows:
30% – Vanguard Total Stock Market (VTI)
40% – iShares 20+ Year Treasury (TLT)
15% – iShares 7-10 Year Treasury (IEF)
7.5% – SPDR Gold Shares (GLD)
7.5% – Invesco DB Commodity Tracking (DBC)
To investigate, we test:
AW portfolios rebalanced monthly (AW-1), quarterly (AW-3), semiannually at the ends of June and December (AW-6) or annually at the end of December (AW-12).
As a benchmark, a 60%-40% VTI-TLT portfolio rebalanced annually (60/40-12).
We consider the following gross performance metrics, all based on monthly measurements: average monthly return, standard deviation of monthly returns, compound annual growth rate (CAGR), maximum drawdown (MaxDD) and Sharpe ratio (with the 3-month Treasury bill yield as the risk-free rate). We also compare number of rebalance actions for each portfolio. Using monthly dividend-adjusted returns for the specified assets during February 2006 (limited by DBC) through January 2026, we find that:Keep Reading
Can investors use leveraged exchange-traded funds (ETF) to construct attractive versions of simple 60%/40% (60/40) and 40%/60% (40/60) stocks-bonds portfolios? In their March 2020 presentation package entitled “Robust Leveraged ETF Portfolios Extending Classic 40/60 Portfolios and Portfolio Insurance”, flagged by a subscriber, Mikhail Smirnov and Alexander Smirnov consider several variations of classic stocks/bonds portfolios implemented with leveraged ETFs. They ultimately focus on a monthly rebalanced partially 3X-leveraged portfolio consisting of:
To validate findings, we consider this portfolio and several 60/40 and 40/60 stocks/bonds portfolios. We look at net monthly performance statistics, along with compound annual growth rate (CAGR), maximum drawdown (MaxDD) based on monthly data and annual Sharpe ratio. To estimate monthly rebalancing frictions, we use 0.5% of amount traded each month. We use average monthly 3-month U.S. Treasury bill yield during a year as the risk-free rate in Sharpe ratio calculations for that year. Using monthly adjusted prices for TQQQ, TMF, TLT and for SPDR S&P 500 ETF Trust (SPY) and Invesco QQQ Trust (QQQ) to construct benchmarks during February 2010 (limited by TQQQ inception) through January 2026, we find that:Keep Reading
A subscriber requested review of the Golden Butterfly (GB) portfolio, which assigns equal weights to the total stock market, small-capitalization value stocks, long-term government bonds, short-term government bonds and gold. To investigate, we use the following exchange-traded funds (ETF) as asset class proxies, respectively:
We consider either monthly or annual rebalancings to equal weight, ignoring associated trading frictions. Using monthly dividend-adjusted prices for the five ETFs during November 2004 (limited by GLD) through January 2026, we find that:Keep Reading
What does very long term experience say about the best way to protect a conventional global 60% equities-40% bonds (60/40) portfolio against drawdowns? In their November 2025 paper entitled “The Best Defensive Strategies: Two Centuries of Evidence”, Guido Baltussen, Martin Martens and Lodewijk van der Linden use 220 years of data to compare downside protection alternatives for a 60/40 portfolio. They consider trend-following (return from 12 months ago to one month ago), gold, bonds, U.S. Treasuries, put options and low-risk, quality and value equity factors (over a shorter sample period). They further evaluate two more complex strategies that are long and short subsets of 25 equity, bond, commodity and currency long/short factors based on their respective rolling 60-month return correlations with the 60/40 portfolio:
Defensive Absolute Return (DAR) – each month long (short) the equal-weighted third of factors with the lowest (highest) rolling correlations.
Return-improving DAR (DAR4020) – each month long (short) the equal-weighted 40% of factors with the lowest rolling correlations (20% of factors with the highest).
All factors are available by 1878. All factors incorporate a 10% annualized volatility target based on rolling 10-year past volatility. Using estimated monthly returns in U.S. dollars for asset classes and DAR factor returns as described above during December 1799 through December 2021, they find that:
We consider both linear correlation and non-linear ranking tests. We look at TIP returns over the past 1, 3, 6 and 12 months separately, and as an average of these past returns (TIP 13612). We look at correlation variability and perform a simple test of economic value. Using monthly dividend-adjusted returns for TIP and the above asset class proxies as available during December 2003 (limited by TIP) through January 2026, we find that:Keep Reading
Takes an offensive (defensive) stance if the total return for TIP is positive (not positive).
If on offense, allocates to the one of SPDR S&P 500 ETF Trust (SPY), SPDR S&P MidCap 400 ETF Trust (MDY) or iShares Core S&P Small-Cap ETF (IJR) with the highest arithmetic mean of total returns over the past 1, 3, 6 and 12 months.
If on defense, allocates to iShares 1–3 Year Treasury Bond ETF (SHY).
His benchmark is buy-and-hold Vanguard Total Stock Market ETF (VTI). Using monthly total returns for the selected ETFs from the end of January 2005 through the end of December 2025, he finds that:Keep Reading
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