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Portfolio theory

Asset Correlation Matrix

Our efficient frontier tool asks you to supply correlations yourself. This one computes them for real, from the same historical annual-returns data as our portfolio backtest tool — so you can see how these six asset classes have actually moved together, and how that relationship has shifted over time.

Period

Correlation matrix

1.0 means two assets moved perfectly together over this period; -1.0 means perfectly opposite; 0 means no linear relationship.

US stocks vs. US bonds — 5-year rolling correlation

The relationship a classic 60/40 portfolio depends on. It isn't constant — watch what happens around 2022.

Computed from the same approximate, illustrative historical annual-returns dataset (1994–2024) as the portfolio backtest tool — see that tool's notes for the same caveats. Real, live correlations move with market conditions; this shows the historical pattern, not a forecast.

Why the stock/bond correlation actually matters more than any single number

The entire case for a diversified portfolio rests on assets that don't all fall at the same time. For most of the last few decades, government bonds reliably rose when stocks fell — a recession scared investors out of equities and into the safety of bonds, pushing bond prices up right when you needed the cushion most. That negative correlation is the real mechanical reason a 60/40 portfolio has historically had a smoother ride than 100% equities, not just "because it's more diversified" in the abstract.

What broke in 2022

2022 was unusual precisely because that relationship flipped: rising interest rates hurt bond prices directly (existing bonds became less attractive next to newly issued, higher-yielding ones) at the same time high rates hurt stock valuations (a higher discount rate lowers the present value of future cash flows — see our DCF model for exactly why). Stocks and bonds fell together, and the rolling correlation chart above shows that shift happening in real historical data rather than as an abstract warning.

How to actually use this

Don't treat the full-period correlation number as a fixed law — treat it as a long-run average that can and does drift, especially around big shifts in interest-rate regimes. When you're building a portfolio for genuine diversification, it's worth checking whether the correlation you're relying on has held up in more recent, shorter windows, not just the multi-decade average. Gold's correlation with both stocks and bonds tends to be closer to zero across most periods — one reason it's often discussed as a diversifier when the stock/bond relationship itself is under strain.

The honest limitations

Correlation is a backward-looking statistical measure, not a guaranteed relationship — it can and does change, sometimes sharply, exactly when you need it to hold. It also only captures linear relationships and says nothing about magnitude: two assets can be highly correlated but move by very different amounts. Use this to understand historical diversification behaviour, not to assume it going forward.