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Chapter 38: The Distribution of Stock Prices 187
Lest you think that this example was biased by the fact that it was taken during
a strong run in the NASDAQ market, here's another example, conducted with a dif­
ferent set of data- using stock prices between June 1 and July 18, 1999 (also 30 trad­
ing days in length). At that time, there were fewer large moves; about 250 stocks out
of 2,500 or so had moves of more than three standard deviations. However, that's still
one out of ten - way more than you've been led to expect if you believe in the nor­
mal distribution. The results are shown in Table 38-3.
TABLE 38-3.
More stock price movements.
Total Stocks: 2,447 Dates: 6/1 /99-7 /18/99
Upside Moves:
Downside Moves:
3cr
104
54
4cr
28
19
Scr
13
7
>6cr
12
14
Total number of stocks moving >=3cr: 251 ( 10% of the stocks studied)
Total
157
94
Finally, one more example was conducted, using the least volatile period that
we had in our database - July of 1993. Those results are in Table 38-4.
TABLE 38-4.
Stock price movements during a nonvolatile period.
Total Stocks: 588 Dates: 7 /1 /93-8/17 /93
3cr 4cr Scr >6cr Total
Upside Moves: 14 5 1 1 21
Downside Moves: 28 5 3 4 40
Total number of stocks moving >=3cr: 61 ( 10% of the stocks studied)
At first glance, it appears that the number of large stock moves diminished dra­
matically during this less volatile period in the market - until you realize that it still
represents 10% of the stocks in the study. There were just a lot fewer stocks with list­
ed options in 1993 than there were in 1999, so the database is smaller (it tracks only
stocks with listed options). Once again, this means that there is a far greater chance
for large standard deviations moves - about one in ten - than the nearly zero percent
chance that the lognormal distribution would indicate.
VOLATILITY BUYER'S RULE!
The point of the previous discussion is that stocks move a lot farther than you might
expect. Moreover, when they make these moves, it tends to be with rapidity, gener-