Quantifying the Value of Historical Research

The most common type of post here on the blog is one where I’ll show a setup along with a statistics table examining how the market has performed based on similar setups in the past. On the blog, most studies are examined independently. In the Subscriber Letter I’ll take a holistic approach to viewing the studies. The tool I use to do this is the Quantifiable Edges Aggregator.

The Aggregator takes a measurement each evening that estimates what all of the currently active studies are projecting over the next few days. This number is plotted and used on the Aggregator chart, which is published each night in the Subscriber Letter. Along with the estimates the Aggregator chart also shows how the market has performed relative to expectations over the last few days. This is helpful in establishing whether the market is overbought or oversold. I have claimed substantial upside edges typically exist when expectations are positive and the market is oversold versus recent expectations. Also, substantial downside edges typically exist when expectations are negative and the market is overbought versus recent expectations.

While many of the index-oriented trade ideas in the Subscriber Letter were based on the Aggregator chart, I’d never quantified the Aggregator nor used it as a mechanical entry…until recently.

Now that we have nearly two years of historical values I decided it was time to take the concepts above and show exactly how a mechanical strategy based on the Aggregator would have performed. The results were even better than I expected.

Since 2/25/08 (about 20 months), the reinvested return (not inclusive of commissions, slippage, or interest on cash) of trading the SPX based on the Aggregator System signals would have been 106.34%. The system has struggled more recently and is currently experiencing a 3.94% drawdown. Over the full time period it has been invested a little over 60% of the time, with the remaining 40% of the time spent in cash. Both long and short trades have contributed fairly equally.

In my mind, the success of the Aggregator as a tool and as a predictive indicator has cemented the value of historical quantitative research. It demonstrates that incorporating quantifiable edges does indeed provide a quantifiable edge!

More details about the Aggregator System may be found on the systems page of the Quantifiable Edges website. Details include an 11-page working document that reviews the results, discusses recent performance and evaluates alternate entry and exit techniques. Additionally there is a spreadsheet available to all trial users that shows summary statistics, an equity curve and details of every single trigger since 2/25/08 (when the Subscriber Letter began).

Gold level subscribers are able to download the full history of the Aggregator and Differential values in a .csv file. This allows them to more easily integrate the tool into existing strategies or to build their own strategies based on it.

Anyone who wishes to trial the Quantifiable Edges subscriber services may do by clicking here. If you have previously trialed or subscribed to Quantifiable Edges, but would like the opportunity to trial again and see details of the Aggregator System, feel free to drop an email to support @ quantifiableedges.com (no spaces) and you will be set up with a new 1-week trial.

Strong Drops From Highs

When strong moves down occur from high levels as happened on Friday, there is often a bit more downside follow through. Below is a study that exemplifies this.

Certainly not an overwhelming edge, but a hint that there could be more selling before a bounce occurs.

BTW, watch out this week for a few exciting announcements from Quantifiable Edges!

Large Gap & Go’s To Intermediate-term Highs

Wednesday’s move may look especially strong on a chart. Historically when large gaps continue higher intraday and make new intermediate-term highs it has most often led to a pullback over the next few days. Below is a study that examines this.

Instances are a bit low but notable nonetheless. Below is a list of all the instances using the 3-day exit criteria.

This would appear to suggest a bit of a downside edge over the next few days.

Columbus Day Performance

While the markets are open on Monday, banks, schools, and government offices are closed. In past years, with the bond market closed, the stock market has done quite well on Columbus Day. Last year Columbus Day saw a gain in the S&P of over 11%. Many traders will likely recall it was the week prior that the market suffered its multi-day crash. Stats associated with Columbus Day are now a bit skewed thanks to 2008. Below is a chart from 1961 – present that shows Columbus Day performance.

As you can see it has generally been a positive holiday for the market.

Considering This Morning’s Gap

The SPY is looking to gap up over 1% as I write this. It has also closed higher 3 days in a row. Back in April I looked at large gaps up after the market ha already risen. This study suggests risk/reward favors the downside should SPY gap more than 1% this morning. The fact that the SPY closed within a range rather than at a 10-day high makes it a little less encouraging.. Overall, should this gap hold until the open, I would estimate a mild edge to the downside from open to close.

What’s Happened To "2 Days Up In Chop"?

A few weeks ago I discussed the performance of the “2 Days In Chop” systems. After doing extremely well through June, I noted the systems had faltered a bit lately. The primary reason for the struggle over the last few months has been that the “2 Days Up In Chop” system has done poorly.


Below is an equity curve of “2 Days Up In Chop”.



The poor performance of “2 Days Up In Chop” can be attributed the strongly trending rally that has taken place. “2 Days Up In Chop” triggered again on Tuesday afternoon. I effectively suspended use of it as an indicator a while back. Should the market top out or enter a period of consolidation, or even simply undergo a deceleration in its uptrend, then “2 Days Up In Chop” may begin working again. I’ll continue to monitor the equity curve as a gauge of market behavior. Equity curves of simple systems such as this are a nice way to look under the hood of the market and understand what’s working and what isn’t in the current environment.


The Trend vs. Chop equity curve is one I update weekly on the subscriber site. It shows the effect of buying all up days and shorting all down days. In a choppy environment the line will fall. A rising line suggests a more trendy environment. For more discussion on this chart you may see this post from a little over a year ago. A current chart is below.



As you might suspect, the strong move up has been accompanied by unusually trendy behavior.

Deceleration of Decline Suggests Bounce

When there is a rapid deceleration in what was once a sharp selloff that often indicates a bounce is near. I’ve shown some examples of this concept over time. One way to look at deceleration would be by looking the size of the bars. Friday’s Quantifinder found the following study from the 6/24/08 blog. This study uses WR7 and NR7 days. A WR7 is a day whose range is the widest in the last 7 days. An NR7 is a day whose range is the narrowest in the last 7 days. All stats are updated.

This study suggests a decent upside edge over the next week-plus. One aspect of this study that I find particular appealing is that it has been consistent over time. Below is a profit curve using a 5-day exit strategy.


The consistent upward slope shown here is preferable to a jagged equity curve or one where most of the profits were made in a small number of trades.

Bad Ends To The Quarter

Below is an excerpt from a special report that was sent to subscribers yesterday around noon. This study examined performance after the SPX declined the last 2 days of a quarter.

86% of instances were trading higher 2 days later and the average trade was 1.2%. This suggests a decent upside edge for the next couple of days.

A more detailed look at this study may be found in last night’s Subscriber Letter. To view it in full you may take a free trial. If you have trialed Quantifiable Edges before but not since 6/1/09 you may send a request to support @ quantifiableedges.com (no spaces).

Low Volume When The Market Rises Strongly

I showed yesterday how a very-low volume day during a decline can often lead to a short-term reversal. Today I will review a study that first appeared in the blog on 5/13/2008. It looks at extremely low volume on strong up days – like Monday. (Volume studies typically use the symbol $TVOL in Tradestation, which is their measure of NYSE volume. This is what is being used in the below study.)

We’ve seen several studies like this over time and many of them were identified by the Quantifinder on Monday. With so many studies confirming each other, it seems the downside edge in these very low volume rises is for real. One caveat with Monday’s action though is that it was Yom Kippur, meaning a lot of traders were out of action and somewhat lower volume could be expected. Still, it’s been a steady enough edge that I decided to it was worth review.

Friday’s Very Low Volume Provides An Upside Edge

One hint from Friday that suggests a bounce is likely is the fact that volume came in very low. It was the lowest volume in over 2 weeks. Below are some tests which demonstrate the potential importance of this.

First, let’s look at 3 day pullbacks that don’t occur on extremely low volume.

(click table to enlarge)

As you can see there is a slight upside edge. The % winners were between 57% and 60% and the average gains days 1-3 were between 0.1% and 0.275%.

Now let’s look at times were the volume was extremely low:

(click table to enlarge)

Here the upside edge is significantly stronger over the next few days. The % winners were between 68% and 76% and the average gains days 1-3 were between 0.59% and 0.94%. The reliability of a bounce occurring at some point in the 3 day period increased from 75% to 87%.

Volume can often provide some valuable clues. For more volume-related analysis, you can check out the volume label on the right hand side of the blog.

Fed Day Selloffs

Wednesday’s Fed day reversal acted much like the one that appeared on April 30, 2008. The May 1, 2008 blog featured a couple of studies that were relevant again today. They were just some of what the Quantifinder identified as relevant last night. I re-ran those studies below. This 1st one looks at times the SPX made a 20-day high and then closed in the bottom 10% of its daily range.

(click table to enlarge)

There appears to be an upside edge here. Although it isn’t the most powerful edge we’ve seen it still appears to suggest bullish inclinations over the next few days and weeks.

Also in that May 1, 2008 blog I looked specifically at Fed days that closed in the bottom 10% of their daily range. I re-ran that study as well tonight.

(click table to enlarge)

Much of the edge here appears in the first day. Poor closes on Fed days have rarely seen significant follow through in the coming days. More often the selling is viewed as an overreaction and the market is able to rebound a bit.

It appears Wednesday’s action suggests bullish implications over the short-term.

If you’d like to trial Quantifiable Edges premium services including the Quantifinder and the Subscriber Letter you may sign up for a free trial here. (Those that have trialed before but not since the Quantifnder was released in June may email support @ quantifiableedges.com (no spaces) and I’ll be happy to set you up with a new trial.)

A Long-Term Look At Fed Days

Below is a long term chart of market performance on scheduled Fed days. I didn’t include non-scheduled meetings. Those are generally surprise rate cuts that are aimed at boosting the market. They’re inherently bullish yet unpredictable since the meetings aren’t scheduled. Therefore there is no point in including them in this study.

(click chart to enlarge)

Over the last 27 years there’s been a persistent upside edge. The average Fed day has ourperformed the average day by about 7.5 times.

For more studies on Fed days make sure to check out the Fed day link.

Last Week’s Equity Put/Call Ratios Suggest A Pullback

The CBOE Equity put/call ratio was consistently low last week. The 5-day average is 0.53, which is nearly 22% below the 200-day average of 0.68. When the 5-day average gets extremely low as it is now that can lead to a short-term market pullback. Below is a study that exemplifies this.


Most notable and also most compelling about this study is the fact that all instances have occurred after the March bottom. Prior to that the 5-day ratio had never stretched 20% below the 200-day. This is another example of just how extreme the current bull move has become. It also makes the results that much more impressive from a negative standpoint since they were achieved during a 60% run-up in the market.

The 2009 Rally – Breadth Without Compare

Yesterday I looked at Worden Bros. T21111, which measures the number of stocks trading at least 2 standard deviations above their 200ma. As you’ll recall, it was hitting an all-time high. (Data goes back to 1986.)

With Wednesday’s big rally, we are now seeing even more extraordinary numbers. Not only is T2111 up to 58.51%, but T2112, which measures the % of stocks trade at least 2 standard deviation above their 40-DAY moving average, is also in record territory. It is showing that a remarkable 57.19% of stocks are now stretched far above their 40-ma’s.

The action in T2112 truly exemplifies the uniqueness of the rally since March. Below is a long-term look at the indicator. Note that from 1986 through 2008 the highest reading this indicator ever registered was 37.22% in November of 2004. That record has been blown away repeatedly over the last 6 months.


Let’s now zoom in on this year to better see what I’m saying.



There simply is no comparison over the last 23 years to what we are seeing in this recent rally. There have now 5 distinct periods in the last 6 months where T2112 has rallied through the old high. And now we’re seeing the most extreme breadth numbers of all.