Sell in October and Go Away (No Way)

With the markets at all-time highs and less than a fifth of trading days left in 2013, it’s time to look at historical statistics again and see if there is any guidance for the rest of the year. In May, at the height of the “Sell in May and go away” discussion, I published my piece of analysis on that. Let’s now look at a similar “Sell in October and go away” strategy. As usual, we’ll leave the speculations and reasons to other analysts and focus only on hard data.

Average Performance Jan-Oct vs. Oct-Dec

Let’s first look at average performance of the Dow Jones and S&P500 from the beginning of the year to 22 October vs. from 22 October to year end.

Average and median performance, DJIA and SPX, 1/1-10/22 vs. 10/22-12/31

We should of course take into account that the period from January to 22 October is more than 4x longer than from 22 October to year end and compare annualized performance.

The year end has shown 2x (median) to 3x (average) higher returns than the period from the beginning of the year to October. Not surprisingly, the results are very similar for the two indices when comparing the same time period (DJIA has much longer history than S&P500).

Worst Year Ends

One figure that deviates from the others is the average year end performance of the Dow when looking at the whole history since 1897. This can be attributed mostly to the Great Depression years (1929, 1930, 1931 all in top 6), but there were other ugly years a hundred years ago. Note that there is only one post-WWII year among the worst 11, which is 1973 (and 1974 is rank 12). The 23 years listed below are the only years when DJIA performance from 22 October to year end was worse than -2%. The worst year end in the last 35 years has been 2007 with -2.23%.

DJIA Years with Worst Year End Performance

Best Year Ends

Below you can see the 23 best year ends (with consistency being the only reason to choose 23, besides the fact that 23 is exactly 20% of the total number of years 1897-2012).

DJIA Years with Best Year End Performance

Double digit positive year end returns were about twice as frequent as double digit negative returns.

Most of the very best years again occurred near the beginning of the previous century, but 3 out of the last 20 years – 1999, 2003, and 2004 – are also represented in the top 23. Fair share would be 5-6, but note that other 6 out of the last 20 years are between rank 24 and 34 – 1995, 1996, 1998, 2000, 2001, 2006. If you are familiar with the history of the stock market and the economy, all these figures make perfect sense.

How Good Years End

For an investor it is much more important to look whether the good year-to-date performance that we have seen this year has any significance for predicting the year end performance. For this we will look at S&P500 data rather than the Dow, as one of the characterstics of 2013 has been a wide performance gap between the two indices (23.03% vs. 18.04%). By 22 October, year 2013 ranks 6th in S&P500 history.

The picture for performance going forward is very similar to what we saw in May. In the years with very strong positive performance until 22 October, it is very likely that the market will keep growing into the year end, although the returns have been in low single digits in most years. There have been five negative year ends among the top 23 years (top 22 without 2013), but none of them worse than -2.09% (1988). Also note that the market was very close to its all-time highs in most of the top years (the third column with mostly red numbers shows 22 October closing value compared to all-time closing high).

SPX Years with Best YTD Performance by 22 October

Nevertheless, year end performance has been almost as good in other years and YTD performance in October has not been significant for predicting year end return. Average non-annualized S&P500 return from 22 October to year end has been 3.19% for all years and 3.77% in the 22 years with strongest YTD performance. Below you can see the scatter plot.

SPX Performance 1 Jan - 22 Oct (Horizontal) vs. 22 Oct - 31 Dec (Vertical)

Another thing that comes to mind when looking at the scatter plot is that big changes (over 5% or under -5%) have been much more frequent on the positive side than on the negative side at year end.

The last chart below shows how much a 100 dollar investment would be worth after 10 years if you stayed invested the whole time (blue line) vs. got out of the market on 22 October and back in at year end (green line). There was no 10-year period when the “Sell in October” strategy outperformed buy and hold.

SPX Sell on 22 Oct and Go Away vs. Buy and Hold, Rolling 10 Year Returns (Start=100)

To conclude:

But of course, the sample is small and this year can be different.

Related pages

greek letters in excelmacd indicatorformula for coefficient of variation in excelmean standard deviation variance calculatorwhat is macd histogramstock volatility calculatorvariance formula ungrouped datashort vixweighted average cost of capital formula examplecalculate coefficient of skewnessskew equationintrinsic value of a put optionstock average down calculatorshortcut formula for variancevix index calculationnormdistpercentile calculator mean standard deviationskewness interpretationnorm.distmerton scholesfinding standard deviation excelannualized return in exceloptions expirationspi symbol excelweighted average inventory calculationsharpe ratio interpretationblack scholes standard deviationkurtosis definestdev pcalculate sample mean in excelubs e tracspopular stock indexesvxz ipathema rsideviation from the mean calculatorcomponents of waccstandard deviation excel formulainterpreting skewness and kurtosissharpe ratio calculationrsi interpretationmacd indicatorvariance and standard deviation formulasannual rate of return calculator excelannualised standard deviationstandard deviation population calculatornotepad stylesvix futures term structureexcel log formulahow to calculate the standard deviation in exceldelta otchow to calculate the coefficient of skewnessexcel skewnessvix etf listbarclays vxxhow to calculate using excel formulasample kurtosis formulavariance formula financeexplanation of quantitative easinginterpreting skewness and kurtosishow to draw break even chart in excelsharpe ratio for stocksmultiples of medianexcel 95 percentileoptions futures and other derivatives john c hull solution manualhow to find population mean in excelcboe stands forinterpret skewness and kurtosisvariance of returns calculatortheta in options tradingannualize monthly standard deviationhow to read the macdotm optionlong straddle calculatorwhat is macd indicatorvix futures margincovered call payoffetf vixshort s&p etfcalculating sample meanskew calculationoptions calculator cboehow to calculate variance using excelvix stock pricevix formulacboe vix data