Monday, April 28, 2014

One Stock's Unbalanced Sway over the Dow Jones Industrial Average. (Not every stock in the average is average)

On Friday, April 25, 2014, the Dow Jones Industrial Average fell 140 points.  In this era of large market swings, that's no longer considered to be a huge move, but it's enough to draw notice.



The interesting thing about that big decline is that nearly half of the movement on that day can be attributed to a drop in just one of the thirty stocks which comprise the average, VISA (V). In fact, on that day, eight of the stocks in the average, more than one quarter of them, actually increased in price, and the aggregate price changes of the other 29 companies would have caused the Dow to drop by only 73 points. VISA made the difference between just a run-of-the-mill down day and the perception of a bad day.

How can that be? How can one stock have such a huge impact on the average, the benchmark that most news outlets use as their benchmark for the entire market?

The answer lies in the way that the average is calculated. The Dow Jones Industrial Average is a simple average. It is not weighted for prices or market capitalization like the NASDAQ average is. The simple calculation methodology means that equal percentage moves in various stocks have disparate impact on the average, based on the price of the stock, which we'll see in a moment.

First, let's look at how the average is calculated. Back in 1896, when Charles Dow created the average which still bears his name, he simply added up the prices of thirty large industrial stocks of the era and then divided by thirty. It is exactly the way we all learned to calculate averages in elementary school (statisticians call this an "arithmetic mean."), and it had the same flaws when Dow first published it as it does today, that more expensive stocks impact movement in the average more than cheaper securities do, but, again, we'll get to that in a moment.

While Dow started out dividing by thirty, as time passed, that divisor had to change. In order to maintain consistency of the number for comparability over time the divisor had to be adjusted to allow for things like stock splits and changing of component stocks in the average. For example, say that one of the companies in Dow's original list underwent a four-for-one stock split, reducing its share price from $120 to $30. This would cause the sum of the prices of the thirty stocks to be $90 less than it was pre-split. If Dow had continued to divide the sum of the prices of his stocks by 30 was maintained, then his average would have fallen by three points even though no wealth been lost by any investor. In order to make sure that values from Dow's average were comparable from one day to the next, he had adjust the divisor, in this example, from 30 down to 28.8 in order to make sure that his average was consistent.

In a similar manner, changes in the company composition of the average also caused the divisor to change. Replace a low-priced company with a more expensive company, and the divisor must be increased; replace an expensive stock with a cheaper one, and the divisor decreases. Over the past 100 years, the predominant trend of the changes has been to decrease the divisor, mostly due to stock splits, to the point that the divisor eventually (in 1986) fell to near one, and then declined below it. The current divisor, as of April 25, 2014, is 0.155715905, which means that every one dollar change in any of the Dow Stocks cause the average to move by 6.42 points (1 / 0.155715905).

And that's how we get the imbalance. Take a look at the thirty stocks which currently comprise the DJIA, along with their closing prices on April 25 and the day's change for each, represented in terms of dollars and a percentage:

Close
Change
Pct
AXP American Express Co 87.03 -0.38 -0.4366%
BA Boeing Co 128.66 -1.20 -0.9327%
CAT Caterpillar Inc 104.69 -0.59 -0.5636%
CSCO Cisco Systems Inc 23.00 -0.33 -1.4348%
CVX Chevron Corp 123.99 -0.31 -0.2500%
DD E I du Pont de Nemours and Co 66.66 -0.45 -0.6751%
DIS Walt Disney Co 78.23 -1.36 -1.7385%
GE General Electric Co 26.60 0.14 0.5263%
GS Goldman Sachs Group Inc 158.24 -2.61 -1.6494%
HD Home Depot Inc 79.38 -0.39 -0.4913%
IBM International Business Machines Co... 189.63 -0.59 -0.3111%
INTC Intel Corp 26.26 -0.49 -1.8660%
JNJ Johnson & Johnson 99.79 -0.17 -0.1704%
JPM JPMorgan Chase and Co 55.70 -0.49 -0.8797%
KO The Coca-Cola Co 41.01 0.31 0.7559%
MCD McDonald's Corp 100.73 0.89 0.8836%
MMM 3M Co 136.56 -0.09 -0.0659%
MRK Merck & Co Inc 57.24 -0.29 -0.5066%
MSFT Microsoft Corp 39.91 0.05 0.1253%
NKE Nike Inc 72.70 -0.69 -0.9491%
PFE Pfizer Inc 30.75 0.04 0.1301%
PG Procter & Gamble Co 81.41 0.26 0.3194%
T AT&T Inc 34.49 -0.01 -0.0290%
TRV Travelers Companies Inc 88.31 -0.28 -0.3171%
UNH UnitedHealth Group Inc 75.66 -0.93 -1.2292%
UTX United Technologies Corp 117.21 -1.77 -1.5101%
V Visa Inc 198.93 -10.47 -5.2632%
VZ Verizon Communications Inc 45.94 -0.34 -0.7401%
WMT Wal-Mart Stores Inc 78.62 0.31 0.3943%
XOM Exxon Mobil Corp 100.41 0.40 0.3984%
2547.74 -21.83 -0.8568%


Note that VISA is the most expensive stock in the list, nearly $200 per share (three years ago, I owned VISA, and sold it for $88 per share when I got spooked, but that's another story).  VISA shares declined over $10, which was over 5% of VISA's value.  That $10.47 change, when divided by the current Dow divisor, means that this stock had an impact on the average of -67.24 points.

Now, say for example that Cisco Systems (CSCO) had suffered a decline of the same magnitude as VISA's plummet.  Cisco's stock would have fallen $1.23, from its opening price of 23.33 down to $22.10.  But, the same divisor calculation means that the Dow Jones average would have fallen only 7.89 points.  Cisco's shareholders would have endured a financial loss of 5.26% in the value of value of their position, identical to the pain suffered by VISA's shareholders on Friday, but Cisco's pain would have barely dented the Dow Jones average.