Feature
Putting Today’s Volatility in Perspective
by
Van
K. Tharp
The volatility that we’ve had in the market since last October has been so huge that I’m considering including a market type that just includes high volatility conditions. As a result, I wanted to get some perspective so I used
XLQ to look at
ten thousand days of daily data in the S&P 500 going back to June 1969.
From that data, we calculated the 20 day ATR for each
of the ten thousand days. In 1969 the price of the S&P 500 was under 100 and the 20 day ATR was around 1.62 points per day. In 1999, when the S&P 500 was at 1400, the 20 day ATR was about 16 points. Thus, the only way to reasonably compare the ATR for the two dates is as a percentage of the
close, which we calculated for all ten thousand days. In 1969, the ATR% close was about 1.7% and in 1999 the ATR% close was about 1.2%.
When I looked at ten thousand days of data, the average ATR as a percentage of the close was 1.47 with a standard deviation of 0.72. The median ATR as a percentage of the close was 1.37. Thus, we can determine extreme moves by adding 0.72 to the mean several times. These are shown in the table below. You can see that a value 3.64 is three standard deviations from the mean and that 10 standard deviations from the mean is 8.68.
ATR
Extemes
|
Standard
Deviations Away
|
2.20
|
1
|
2.92
|
2
|
3.64
|
3
|
4.36
|
4
|
5.08
|
5
|
5.80
|
6
|
6.52
|
7
|
7.24
|
8
|
7.96
|
9
|
8.68
|
10
|
I then ranked the data from largest to smallest based upon the ATR close. The top 30 ranked days are shown in the table below.
Ranked
by ATR % close
|
|
ATR%
of Close
|
20
day ATR
|
Date
|
Daily
Close
|
1
|
8.04
|
70.46
|
10/24/08
|
876.77
|
2
|
7.95
|
67.47
|
10/27/08
|
848.92
|
3
|
7.61
|
69.11
|
10/23/08
|
908.11
|
4
|
7.55
|
70.22
|
10/29/08
|
930.09
|
5
|
7.54
|
67.59
|
10/22/08
|
896.78
|
6
|
7.35
|
69.15
|
10/28/08
|
940.51
|
7
|
7.28
|
69.48
|
10/30/08
|
954.09
|
8
|
7.09
|
68.68
|
10/31/08
|
968.75
|
9
|
7.08
|
64.24
|
10/15/08
|
907.84
|
10
|
6.89
|
64.81
|
10/17/08
|
940.55
|
11
|
6.81
|
64.45
|
10/16/08
|
946.43
|
12
|
6.78
|
61.32
|
11/06/08
|
904.88
|
13
|
6.75
|
64.51
|
10/21/08
|
955.05
|
14
|
6.72
|
64.96
|
11/03/08
|
966.30
|
15
|
6.66
|
63.47
|
11/05/08
|
952.77
|
16
|
6.55
|
64.57
|
10/20/08
|
985.40
|
17
|
6.55
|
49.27
|
11/20/08
|
752.44
|
18
|
6.52
|
58.65
|
10/10/08
|
899.22
|
19
|
6.28
|
63.18
|
11/04/08
|
1,005.75
|
20
|
6.25
|
62.42
|
10/14/08
|
998.01
|
21
|
6.21
|
57.82
|
11/07/08
|
930.99
|
22
|
6.19
|
49.51
|
11/21/08
|
800.03
|
23
|
6.09
|
61.09
|
10/13/08
|
1,003.35
|
24
|
6.06
|
48.85
|
11/19/08
|
806.58
|
25
|
6.03
|
54.89
|
10/09/08
|
909.92
|
26
|
5.99
|
14.31
|
11/10/87
|
239.00
|
27
|
5.95
|
54.66
|
11/10/08
|
919.21
|
28
|
5.92
|
48.36
|
12/01/08
|
816.21
|
29
|
5.92
|
50.49
|
11/12/08
|
852.30
|
30
|
5.92
|
50.44
|
11/24/08
|
851.81
|
The top thirty days are all from late 2008, with the one exception of November 1987. Furthermore, most of these days are at least six standard deviations above the mean.
Based upon these data, I decided to define market volatility as a percentage of the close with the following parameters:
• Very Volatile: At least 3 standard deviations above the mean (i.e., bigger than 3.64).
• Volatile: At least 0.5 standard deviations above the mean. (In other words, a volatile market has an ATR% close that ranged from 2.19 to 3.63).
• Normal: Within 0.5 standard deviations from the mean. (This means the ATR% close ranged from 0.75 to 2.18).
• Quiet: An ATR% close below 0.75.
The following table shows the distribution of the 10,000 days according to these criteria.
|
Days
|
%
|
Very
Volatile
|
120
|
1%
|
Volatile
|
2,312
|
23%
|
Normal
|
3,928
|
39%
|
Quiet
|
3,640
|
36%
|
Total
Days
|
10,000
|
|
Notice that only 120 days or 1.2% of the total number of days ranked as very volatile. However, these included the following periods, shown with their ATR% close range.
1) October 9, 2008 through November 7, 2008 (6.03-8.04)
2) October 19, 1987 through November 17, 1987 (3.69-5.99) This one started with Black Monday.
3) July 22, 2002 through August 9, 2002 (3.74-3.94)
4) September 27, 1974 through November 4, 1974 (3.60 to 3.8)
5) March 3, 2009 through March 12, 2009 (3.64-3.91)
Recent volatility has been off the charts. I don’t have data going back to the Great Depression to compare the results, but I tend to doubt that the 1929-1934 ATR% closes were worse than what we’ve just seen.
All of these periods, with the exception of the 2009 period, were associated with Market Collapses. So perhaps there is a strong relationship between volatility and bear markets, one that most people would not suspect. Let’s look at another table that shows the average daily % change in the market as a function of volatility.
|
|
|
Average
|
|
Days
|
%
|
Change%
|
Very
Volatile
|
120
|
1%
|
-0.326
|
Volatile
|
2313
|
23%
|
-0.006
|
Normal
|
3927
|
39%
|
0.036
|
Quiet
|
3640
|
36%
|
0.054
|
|
10000
|
|
|
I almost fell over when I saw the results. Under very volatile conditions, the average market change is about -0.3% per day. This is even stronger than when the market is classified as bearish by the direction. Even volatile conditions show a slight downward bias. In fact, the upward bias appears only in normal and quiet conditions. However, please remember that these are averages over many, many days. But the results are still amazing. Stay tuned for more soon as I continue my research.
What about today? Are we back to normal? The ATR% close values in May 2009, so far, range from 2.19 to 2.4. This still puts us in volatile territory.
However, the numbers have calmed down considerably since late last year.
Under such high volatility conditions, the best strategies have typically been very short term trading in which large daily ranges translate into potential for huge R-multiples in a short period of time, and option strategies that capture premium with very little risk.
Trend following, even on the short side, doesn’t work unless you are willing to tolerate extremely large whipsaws against you.
About
Van Tharp: Trading coach, and author, Dr. Van K. Tharp is
widely recognized for his best-selling books and his outstanding
Peak Performance Home Study program - a highly regarded classic
that is suitable for all levels of traders and investors. You can
learn more about Van Tharp at www.iitm.com.
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