2019issue C128-15
Evaluate diversification by correlation, not by the mix label
A 60/40 mix of a stock index ETF and an intermediate government-bond ETF, rebalanced annually from late July 2002, remained almost fully aligned with the stock ETF, with a reported correlation of 0.96. Changing the weights, then replacing the cash bond sleeve with a futures overlay, changed the reported equity correlation and the volatility mix.
- A 60/40 mix of a stock index ETF and an intermediate government-bond ETF, rebalanced annually from late July 2002, remained almost fully aligned with the stock ETF, with a reported correlation of 0.96.
- That mix showed a lower peak decline and lower annualized monthly volatility than a 100% stock-ETF holding, along with a lower compound annual growth rate.
- Reversing the weights to 40/60 reduced drawdown, volatility, and equity correlation versus 60/40, but the reported correlation to the stock ETF remained high at 0.8.
- A leveraged bond overlay of 40% stock ETF, 100% 10-year government-bond futures, and 50% three-month Treasury bills reported a 0.63 equity correlation and about half the stock-ETF volatility, with a higher return than the unlevered 40/60 mix.
The mixes in the comparison
The source backtest compares a 60/40 mix of a stock index ETF and an intermediate government-bond ETF with a 100% stock-ETF holding, then reverses the weights, then replaces the cash bond sleeve with a leveraged bond overlay. A later comparison places an all-weather example next to the Wilshire 5000.
Asset allocation, Diversification, and Correlation analysis appear here as checks on weights, realized equity correlation, and how the bond instrument changes the risk mix.
What the 60/40 mix tracked
A 60/40 mix of a stock index ETF and an intermediate government-bond ETF, rebalanced annually from late July 2002 in the source backtest, remained almost fully aligned with the stock ETF. The reported correlation was 0.96.
In that same 60/40 comparison, the mix showed a lower peak decline and lower annualized monthly volatility than a 100% stock-ETF holding. It also showed a lower compound annual growth rate.
The source argues that most of a conventional 60/40 mix's volatility and risk come from equities, so the calmer bond sleeve is washed out and the whole book still tracks stocks.
Reversing the weights
Reversing the weights to 40% stocks and 60% bonds reduced drawdown, volatility, and equity correlation versus 60/40. The reported correlation to the stock ETF remained high at 0.8.
Scaling the bond sleeve with futures
A leveraged bond overlay used 40% stock ETF, 100% 10-year government-bond futures, and 50% three-month Treasury bills. In the same comparison set it produced a lower reported equity correlation of 0.63 and about half the stock-ETF volatility. It also showed a higher return than the unlevered 40/60 mix.
Bond futures plus idle cash in bills are presented as a way to scale bond exposure toward equity-like volatility without borrowing cash to buy bonds, because futures often embed a positive carry when the yield curve slopes upward.
The later all-weather comparison
In the later all-weather versus Wilshire 5000 comparison, the example mix's volatility was about two thirds that of the stock index. The mix also showed a milder worst month and worst year than the index series shown.
What the notebook actually ran
The illustrative Python notebook is hard-coded to three price series, fixed weights, and yearly reallocation. It omits commissions and slippage.
All readings on this track · 26 readings
- 1990Stress-testing a futures sleeve across equity regimes
- 1990Staged sleeves from one equity forecast
- 1990Score a trade after allocation, diversification, and a drawdown limit
- 1993A three-sleeve regime map for equities, rates, and futures
- 1994Late-cycle breadth as an allocation exam
- 1994Ratio MACD crossover as a portfolio weight filter
- 1995Sizing a trend futures sleeve in a 1995 policy shift
- 1996A 1990s case on liquidity cycles, rank rotation, and cross-market sleeves
- 1997Regime-aware allocation versus binary timing
- 1998Hedge-fund sleeves under a hard drawdown limit
- 2010True diversification as portfolio construction
- 2012Regime-gated trend baskets and layered sizing
- 2013Score fund cost drag before the equity-versus-defensive mix
- 2013Cost-first fund mix in portfolio construction
- 2015Cost-first fund construction and the stock-bond mix
- 2016Audit the fund cost-stack, then set the sleeve-mix
- 2016Read fund listings through costs, then allocation, then diversification
- 2017A four-channel own-account book with signal-replacement
- 2017Listed REITs as a standalone portfolio sleeve
- 2017Cost-first stock and bond fund construction
- 2017Cost-first fund mix in a diversified portfolio
- 2018Mutual-fund costs come before returns in portfolio mixes
- 2018Cost gates before a stock-bond fund mix
- 2019Cost-stack and bond-equity mix around a trade
- 2019Evaluate diversification by correlation, not by the mix label
- 2020Cost-first fund sleeves and a stock-bond mix