From the Archives: The Not-So-Normal Bell Curve

December 18, 2014

Matt Koppenheffer nicely makes the case for holding on to your winners and cutting out your losers (exactly what relative strength is designed to do):

When it comes to investing, there’s no shortage of bad advice floating around out there. Among the worst, though, is the old saw, “You can’t go broke by taking a profit.”

The saying refers to the belief that if you have a stock that’s gone up in value, it’s hard to go wrong selling that stock and “locking in” the gains. But while the saying is technically true — it’s hard to picture a scenario where an investor is suddenly bankrupt after selling a stock at a profit — it’s a dangerous platitude for investors to follow.

There’s a name for that
The practice of selling winning stocks and hanging on to losing ones is a practice that’s familiar to behavioral-finance experts. It’s a behavioral bias known as the disposition effect and has been revealed to be quite harmful for investors. A number of academic papers have shed light on the subject, including Berkeley professor Terrance Odean’s 1998 study that concluded that individual investors’ “preference for selling winners and holding losers … leads, in fact, to lower returns.”

A possible explanation
If the long-term returns from stocks were distributed normally — that is, they formed the familiar bell-shaped curve and most stocks’ returns clustered around the average — selling winners and holding losers might actually work. If the returns from most individual stocks were likely to be right around the average for all stocks, then a big winner would be more likely to stall out after its winning streak than continue climbing. At the other end, it wouldn’t be unreasonable to expect a stock that’s been a big loser to climb back closer to the average.

But that’s not how it works.

I was reminded of this by a recent report by Shankar Vedantam for NPR, called “Put Away the Bell Curve: Most of Us Aren’t Average. Vedantam reviewed the research and work of Ernest O’Boyle Jr. and Herman Aguinis, who studied the performance of 633,263 people involved in academia, sports, politics, and entertainment.

In short, the pair’s finding was that the performance distribution in these groups wasn’t bell-shaped. Instead, many participants clustered below the mathematical average, while a group of superstars produced results far above the average and pulled the overall average up.

Stock returns have a similar distaste for fitting to a bell curve. Over the past 10 years, 63% of the S&P 500 companies underperformed the average. Meanwhile, a large group of significant outperformers delivered returns that were well above the average.

DontSellWinners From the Archives: The Not So Normal Bell Curve

As compared with the bell curve in the background, the data plotted here is a mess. And it should be. Stock returns are not normally distributed — which is what produces that nice bell-shaped curve. And though stats-stars who are much smarter than me often try to describe stock returns as “lognormal” — a mathematical transformation of the returns that gets them to more closely fit a bell curve — they’re not that, either. Stocks are typified by “fat tails” on either end — that is, more seriously outperforming and underperforming stocks than is easily captured by streamlined mathematical models.

So no matter how you look at stock returns, a surprising number of stocks end up returning far more and far less than the average. Practically, this means that the practice of “locking in gains” and hanging on to losers is a good way to miss out on the market’s huge outperformers, stay stuck with poor performers, and earn lackluster overall returns.

HT: iShares

This first appeared on our blog in May of 2012. Recent trends in Energy (down) and Healthcare (up) brought this to mind. Fat tails are a market reality-invest accordingly.

Posted by:


High RS Diffusion Index

December 18, 2014

The chart below measures the percentage of high relative strength stocks that are trading above their 50-day moving average (universe of mid and large cap stocks.) As of 12/17/14.

diffusion 12.18.14 High RS Diffusion Index

The 10-day moving average of this indicator is 87% and the one-day reading is 85%.

This example is presented for illustrative purposes only and does not represent a past recommendation. The performance above is based on pure price returns, not inclusive of dividends or all transaction costs. Investors cannot invest directly in an index. Indexes have no fees. Past performance is not indicative of future results. Potential for profits is accompanied by possibility of loss.

Posted by:


RS Chart of The Day

December 18, 2014

spyvseem zpse3a9d0de RS Chart of The Day

Point and Figure RS Charts are calculated by dividing one security by another and plotting the ratio on a PnF chart. When the ratio is rising, it is plotted in a column of X’s and reflects the numerator outperforming the denominator. Likewise, when the relative strength ratio is declining, it is plotted in a column of O’s and reflects the outperformance of the denominator.

Past performance is not indicative of future results. Potential for profits is accompanied by possibility of loss. This example is presented for illustrative purposes only and does not represent a past recommendation. The relative strength strategy is NOT a guarantee. There may be times where all investments and strategies are unfavorable and depreciate in value. Nothing contained herein should be construed as an offer to sell or the solicitation of an offer to buy any security. This post does not attempt to examine all the facts and circumstances which may be relevant to any product or security mentioned herein. We are not soliciting any action based on this document. It is for the general information of clients of Dorsey, Wright & Associates, LLC (“Dorsey, Wright & Associates”). This document does not constitute a personal recommendation or take into account the particular investment objectives, financial situations, or needs of individual clients. Before acting on any analysis, advice or recommendation in this document, clients should consider whether the security or strategy in question is suitable for their particular circumstances and, if necessary, seek professional advice.

Posted by: