A ten-month moving-average rule is one of the best-known ideas in systematic investing: own equities while the market is above its ten-month average, hold Treasury bills when it is below. On 150 years of S&P 500 history it matches the market's return with far less risk, and cuts the Great Depression drawdown from -82% to -46%.

Tested on prices an investor could actually have traded at, about two-thirds of that advantage disappears. The rule still earns its place, but as crash insurance with a visible premium, not as a source of excess return. The difference matters for anyone sizing an overlay, setting a risk budget or reviewing a backtest.

Watch: the 9-minute walkthrough on Out of Sample.
0.95 → 0.67
Sharpe ratio of the same rule on monthly-average versus tradable month-end SPY prices, 1997–2026
~2/3
Share of the rule's apparent Sharpe improvement over buy and hold that came from price averaging
-51% → -22%
Worst drawdown, buy and hold versus the trend rule, tradable SPY test
0.6 pts/yr
Return given up for that protection, 1997–2026 (about 2.0 pts/yr since 2007)

Executive summary

The question. Should an equity allocation carry a trend-following overlay to limit crash losses, and what does that protection really cost?

The approach. Test two classic rules, the 10-month moving average and 12-month time-series momentum, on Robert Shiller's monthly S&P 500 data from 1871, then on SPY with dividends, real T-bill cash and trading costs from 1997. Run the identical rules on monthly-average and month-end SPY prices to isolate how the data is built. Every rule and cost was fixed before results were examined.

The answer. Long-history results are flattered by averaged prices, which leak part of the next month's move into the signal. On tradable prices the 10-month rule returned 9.2% a year against 9.8% for buy and hold, with a Sharpe ratio of 0.67 against 0.54, and cut the worst drawdown from -51% to -22%. It beat the market in only four of 28 calendar years.

The decision it supports. Treat trend following as a priced drawdown hedge, sized to the loss the portfolio cannot tolerate and judged against its insurance cost, and require tradable-price backtests for every systematic rule that reaches the investment committee.

Business outcomes

DimensionBuy and hold SPYWith the 10-month trend ruleWhat it means
Worst peak-to-trough loss-51% (2007–09)-22%The tail is cut by more than half
Loss on a $1bn allocation at the worst pointAbout $508 millionAbout $218 millionAbout $290 million of capital preserved in the crisis
Annual return, 1997–20269.8%9.2%The premium: about 0.6 points a year, roughly $6 million a year on $1bn
Annual return since June 200710.7%8.7%In a long bull market the premium rises to about 2.0 points a year
Dot-com bust (Sep 2000–Oct 2002)-40%-5%Slow, grinding bear markets are where the rule pays
Global financial crisis (Nov 2007–Mar 2009)-47%-3.5%Same
COVID crash (Feb–Apr 2020)-9%-8%Too fast for a monthly signal
Calendar years ahead / behind (28 full years)n/aAhead in 4, behind in 17Expect to look wrong most years

Tradable test: SPY month-end closes with dividends, cash in 3-month T-bills, 5 bp per switch. Dollar figures apply the measured percentages to an illustrative $1bn allocation. Episode returns are cumulative over the stated windows.

End to end in five steps

StepWhat happensOutput
1. SourceShiller monthly S&P 500 (1871 onward); SPY daily closes and dividends (1996 onward); 3-month T-bill yields; every file checksum-pinnedRaw data with provenance
2. Build returnsShiller total return from price plus dividend/12; SPY total return with ex-date dividends; month-end and month-average views of the same SPY historyMonthly return series
3. Apply rules10-month moving average and 12-month momentum; signal at month-end t sets the position for month t+1Monthly positions
4. Test150-year test, averaging test, post-publication window, crisis episodes, calendar-year scorecard, 25 bp cost stressPerformance and drawdown statistics
5. TranslateApply the measured drawdowns and return gaps to an illustrative $1bn allocationBusiness outcomes table

The data, and the problem hidden in it

Robert Shiller's S&P 500 series is the backbone of much long-horizon research because it goes back to 1871 and includes dividends. Its monthly prices, however, are averages of daily closes across each month, not the price on the last trading day. That is a sensible choice for valuation work and a dangerous one for timing rules.

A signal built from a month's average already contains late-month prices. When that signal is judged on the return from one monthly average to the next, part of the move it is "predicting" has already happened. Holbrook Working showed in 1960 that averaging a random walk alone creates positive correlation between successive changes, and the data shows it plainly: lag-one autocorrelation of monthly returns is 0.27 in the Shiller series and 0.19 for averaged SPY prices, against 0.00 for SPY month-end prices. Trend rules are designed to harvest exactly that kind of persistence, so averaged data hands them an edge that cannot be traded.

Diagram comparing a backtest on monthly-average prices with one on month-end prices
Why the same rule gives two answers. Red: the averaged-price path, whose signal overlaps the return it is judged on. Green: the tradable path.

The averaging test

To measure the effect directly, the identical rules were run on SPY over identical years, once with monthly-average prices and once with month-end prices.

Bar chart of Sharpe ratios for two trend rules on averaged versus month-end SPY prices
Same rule, same years. The averaged-price backtest overstates the 10-month rule's Sharpe ratio by 0.28 and its improvement over buy and hold by about two-thirds.
SPY, 1997–2026Monthly-average pricesMonth-end prices (tradable)
10-month rule: annual return10.9%9.2%
10-month rule: Sharpe ratio0.950.67
10-month rule: worst drawdown-19%-22%
12-month momentum: Sharpe ratio0.860.71
Buy and hold: Sharpe ratio0.620.54
Lag-one autocorrelation of monthly returns0.190.00

Sharpe ratios in excess of 3-month T-bills. Buy and hold also looks smoother on averaged prices, which is why the comparison is made against each view's own buy-and-hold figure.

On averaged prices the 10-month rule improves the Sharpe ratio over buy and hold by 0.33. On tradable prices the improvement is 0.12. The 12-month momentum rule loses less of its edge, from 0.25 to 0.17, because its signal depends less on the last few weeks of prices.

The 150-year view, read correctly

Drawdown chart of buy and hold versus the 10-month trend rule on Shiller S&P 500 data, 1872 to 2023
Drawdowns on Shiller's monthly data, 1872–2023, with cash earning zero. The shape is informative; the precise numbers carry the averaging bias described above.

On the long history, the rule matched the market's return (9.2% against 9.1% a year), with a Sharpe ratio of 0.97 against 0.69 and a worst drawdown of -46% against -82%. Those figures appear in many presentations. They are directionally right: the rule has repeatedly stepped aside in long bear markets, including 1929–32. They are numerically optimistic for the reason above, so they should not be used to size a programme.

The tradable test

Growth of one dollar for buy and hold SPY and the trend rule, with shaded periods in cash
SPY with dividends, T-bill cash and 5 bp costs per switch. Shaded: months the rule held cash.

From 1997 to 2026 the 10-month rule returned 9.2% a year against 9.8% for buy and hold, with volatility of 10.7% against 15.3%, a Sharpe ratio of 0.67 against 0.54 and a worst drawdown of -22% against -51%. It held cash about a quarter of the time and switched about 1.5 times a year. A 25 bp cost per switch reduces the annual return by only 0.3 points, so trading cost is not the issue; timing is.

Bar chart of the trend rule's return minus buy and hold by calendar year
Trend rule minus buy and hold, by calendar year. Large gains in 2000–2002 and 2008; frequent small losses and a few large ones (1998, 2019, 2023) from selling into sharp dips that reversed.

The scorecard is the most important exhibit for governance. In 28 full calendar years the rule was ahead by more than half a point in only four and behind in seventeen. It trailed by about 21 points in 2019 after selling in the late-2018 sell-off and buying back higher. It was too slow for the COVID crash and gave little protection in 2022. Its value is concentrated in a handful of slow, deep bear markets.

After the rule became well known

The 10-month rule was widely circulated from 2006–07. From June 2007, buy and hold returned 10.7% a year and the rule 8.7%; the worst drawdown fell from -51% to -22% and the Sharpe ratio was 0.70 against 0.64. The protection survived publication; the premium rose because the period was dominated by a long bull market.

Recommendations

  1. Classify trend overlays as hedges. Budget for them as insurance with an expected cost of roughly 0.5 to 2 points a year, not as return enhancers.
  2. Size to the binding constraint. The case is strongest where a deep drawdown would force selling, such as liquidity needs, leverage covenants or redemption risk. Without that constraint, the premium is harder to justify.
  3. Agree the losing years in advance. Expect to trail in most calendar years. Write the evaluation horizon and the switch-off criteria into the mandate before launch, so the overlay is not abandoned just before it is needed.
  4. Add a fast-crash complement. A monthly trend signal cannot react to a four-week crash. Pair it with volatility-based sizing or option protection if fast drawdowns are the concern.
  5. Make tradable-price backtests a standing control. Require every systematic rule to be tested on executable prices with costs, with the data construction disclosed, and report the averaging gap whenever long-history data is used.

Limits

This is a single asset. The long history uses averaged prices and zero cash return before 1990, so it is directional evidence only. Diversified trend programmes trade dozens of futures markets, with different costs and much better crisis records in some periods. SPY history covers about three decades and four major drawdowns. Nothing here is a forecast or investment advice.

Pipeline flowchart from data sources through checksum gate, return construction, rules and tests
The full pipeline. Blue: external data. Lavender: code steps. Yellow: rules fixed in advance. Red: checks and gates. Grey: outputs.

Sources

Data

Methods referenced

  • Faber, M. T. (2007). "A Quantitative Approach to Tactical Asset Allocation." The Journal of Wealth Management, 9(4), 69–79.
  • Moskowitz, T. J., Ooi, Y. H. and Pedersen, L. H. (2012). "Time series momentum." Journal of Financial Economics, 104(2), 228–250.
  • Working, H. (1960). "Note on the correlation of first differences of averages in a random chain." Econometrica, 28(4), 916–918.

Independent research, not investment advice. Dollar figures are illustrative. Analysis, code, charts and text were produced with AI assistance and reviewed by the author.