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Historical Asset Returns: What Compounded, What Diversified, and What Protected in Equity Stress

A long-run comparison of US equities, Treasury bills, government bonds, corporate bonds, real estate and gold using the historical return dataset maintained by Aswath Damodaran at NYU Stern.

US annual asset-class data1928–2025Primary analysis: real returns
Executive summary

Long-run return is only part of the story

The same dataset tells different stories depending on whether the focus is compounding, violatility, drawdown or behavior when equities are under pressure.

Highest real CAGR
US Small Cap
8.68%
Highest compounded return in the sample.
Deepest drawdown
US Small Cap
-81.61%
Worst peak-to-trough decline in the inflation-adjusted annual wealth index.
Highest defensive score
10-Year Treasury
80.0/100
Composite descriptive score balancing down-year return, hit rate and downside correlation.
1
Compounding and arithmetic averages are not interchangeable.Volatile assets can post high average annual returns while compounding at a materially lower rate.
2
Equities delivered the strongest long-run wealth creation, but the path was costly.The return advantage came with higher volatility and materially deeper drawdowns than cash-like assets.
3
Correlation alone is an incomplete diversification test.What matters most is how an asset behaved in years when the S&P 500 actually fell.
4
Defensive behavior is regime-dependent.No asset provided the same degree of protection across every historical equity sell-off.
5
Real returns are the relevant long-run measure.Inflation adjustment converts nominal wealth growth into changes in purchasing power.
Score interpretationThe 80.0/100 defensive ranking is a descriptive composite made from average return in negative S&P 500 years, positive hit rate and downside correlation. It is not an optimized hedge ratio, portfolio weight or forecast.
Methodology

How the comparison is constructed

The research notebook downloads Damodaran's historical return workbook and applies one consistent calculation framework across all seven asset series.

The primary analysis uses annual real returns. The asset universe consists of the S&P 500, US small-cap equities, 3-Month Treasury Bills, 10-Year US Treasuries, Baa corporate bonds, real estate and gold.

Why real returns?Nominal returns measure changes in dollar value. Real returns measure changes in purchasing power. For an analysis spanning many inflation regimes, the distinction is central.

CAGR

The constant annual rate that reproduces the observed beginning-to-ending wealth after compounding.

Volatility

The standard deviation of annual returns. It measures dispersion, not permanent loss.

Sharpe ratio

Average annual excess return divided by the standard deviation of annual excess returns, using the observed T-Bill series as the risk-free benchmark.

Maximum drawdown

The largest decline in the annual wealth index from a previous peak to a subsequent trough.

Correlation

The linear co-movement between asset returns, ranging from −׊z1.

Downside correlation

Correlation with the S&P 500 calculated only during years in which the S&P 500 return was negative.

Return & risk

Which assets rewarded risk over the long run?

The analysis emphasizes compounded return, path risk and regime stability.

Real CAGR versus annual volatility

Upper-left is historically more attractive: higher compounded return with lower annual variability.

CAGR versus annual volatility

Growth of $100 in real terms

A logarithmic scale keeps the comparison readable across nearly a century of compounding.

Growth of 100 dollars

Historical drawdowns

Peak-to-trough losses in the annual inflation-adjusted wealth series.

Historical drawdowns
Drawdown is not volatility.Volatility measures dispersion around an average return. Drawdown measures an actual loss from a prior wealth peak. These drawdowns are measured from real annual wealth, so they capture losses of purchasing power as well as investment losses.

Rolling 10-year real CAGR

Each observation shows the annualized compound return over the preceding ten years.

Rolling ten year CAGS

Full-period correlation matrix

Useful as a starting point, but not a sufficient stress test.

Correlation matrix
Diversification under stress

What actually diversified equities?

The stricter test conditions the analysis on negative S&P 500 years.

Defensive return versus downside correlation

The historically stronger defensive profile lies toward the upper-left.

Equity stress diversification

Positive-return frequency in negative S&P 500 years

How often each asset remained positive when equities finished the year below zero.

Positive hit rate in equity down years
Low correlation is not enough.An asset can have low unconditional correlation with equities yet still suffer simultaneous losses in major sell-offs.
Highest defensive score
10-Year Treasury
Best overall balance of down-year return, hit rate and downside correlation under the notebook's composite rule.
Highest positive hit rate
3-Month T-Bill · 58.1%
Most frequently positive when the S&P 500 had a negative calendar-year return.
Strongest average stress return
Gold
Highest average real return in negative S&P years and negative downside correlation, but only a 29.0% positive hit rate.
Stress episodes

The worst equity years were not all the same

Different shocks produced different cross-asset responses.

Asset returns in the 10 worst S&P 500 years

A direct comparison of contemporaneous performance during severe annual equity losses.

Returns in worst S&P 500 years
Synthesis

Asset-class characteristics

All metrics below are generated from the same notebook calculations.

Important drawdown interpretationThe table reports drawdowns of real wealth, not nominal account value. A large real drawdown for T-Bills can therefore reflect a prolonged loss of purchasing power during inflationary periods even when nominal principal did not experience an equivalent fall.
AssetHistorical roleReal CAGRAnnual vol.Sharpe vs T-BillMax drawdownCorrelation vs S&PEquity-down hit rateDefensive classification
S&P 500Core US equity growth6.78%19.30%0.42-54.83%1.00Reference asset
US Small CapHigher-beta equity growth8.68%37.29%0.37-81.61%0.7212.9%Weak
3-Month T-BillCapital stability / cash proxy0.33%3.82%-45.78%0.0758.1%Strong
10-Year TreasuryDuration / defensive fixed income1.45%8.86%0.19-55.47%0.0954.8%Strong
Baa Corporate BondsIncome plus credit risk3.49%8.80%0.45-30.11%0.4345.2%Weak
Real EstateReal-asset exposure1.13%4.97%0.13-34.56%0.1948.4%Moderate
GoldAlternative diversifier / real asset2.50%19.43%0.18-77.10%-0.0729.0%Strong
Conclusion

Diversification should be judged by behavior, not labels

The historical record reinforces a basic portfolio-construction principle: the asset with the highest long-run return is not automatically the most useful asset in every portfolio. Return, volatility, drawdown and diversification are separate dimensions of portfolio behavior.

Equities generated the strongest long-run wealth creation in the historical sample, but they also exposed investors to significant path risk. Bonds, cash-like instruments, real estate and gold played different roles, and those roles changed across regimes.

The most important diversification result is therefore not a single full-period correlation coefficient or one composite score. It is the conditional evidence: how each asset behaved when equities were already under stress, and whether that protection was frequent, large, or both.

Historical relationships are not forecasts. Correlations can change, defensive assets can fail, and annual data conceal intra-year losses.

Source & notes

Data provenance

Primary data source: Aswath Damodaran, NYU Stern, Historical Returns on Stocks, Bonds and Bills.

The analysis uses annual series for the S&P 500, US small-cap equities, 3-Month Treasury Bills, 10-Year Treasuries, Baa corporate bonds, real estate and gold.

The analysis is historical and educational. It does not constitute investment advice, an expected-return estimate, or a forecast of future diversification behavior.