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       #Post#: 14--------------------------------------------------
       Will We Ever Break Out of This Range?
       By: fxvictory Date: September 13, 2014, 4:27 am
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       Note: A version of this article was published on the Trading
       Markets site 12/29/05.
       I field a handful of emails each day, addressing topics ranging
       from data analysis to psycho-analysis.  Far and away the most
       common recent topic among writers, however, is the current
       trading range and its significance.  It seems as though quite a
       few writers expect a major breakout in early 2006.  A common
       refrain is that consolidation ranges lead to breakouts and major
       trending movements.  Most of my correspondents seem to favor the
       upside on any such breakout.
       Not wanting to rely solely upon speculative opinion or trading
       lore, I decided to go back in time and examine trading ranges
       such as we've had recently.  My analysis went back to January,
       1990 (N = 4014 trading days) and examined 20-day periods of
       price change and volatility (trading range) in the S&P 500 cash
       index.  Here is what I found:
       1)  We truly are seeing historic levels of low volatility.  The
       price range for the past 20 days has been about 2.1%.  This
       places the most recent 20-day period in the lowest 1% of all
       volatility periods for the sample overall.  With the exception
       of a single period in August, 2005, we have to go back to
       1993-1995 to find comparable levels of low volatility.
       2)  I compared the quarter of 20-day data periods with the
       lowest volatility (average range = 3.27%; N = 1003) with the
       periods that possessed the highest volatility (average range =
       10.88; N = 1003).  Twenty days after the low volatility periods,
       the S&P 500 averaged a gain of .49% (603 up, 400 down).  Twenty
       days after the high volatility periods, the S&P 500 averaged a
       gain of .96% (588 up; 415 down).  Low volatility periods were
       just as likely to result in upside movements as high volatility
       periods, but the upside was greater after those high volatility
       periods.
       3)  I compared next 20-day volatility following the quarter of
       occasions that were highest and lowest in volatility.  The
       average twenty-day price range following the high volatility
       periods was 8.88%.  The average twenty-day price range following
       the low volatility periods was 4.46%.  In other words, on
       average, low volatility periods did not resolve into breakout,
       volatile movements.  Low volatility, on average, tended to beget
       further low volatility and vice versa.
       4)  I looked at low volatility periods that also displayed small
       price change, as we have seen recently.  This provided a sample
       of 173 occasions where 20-day price change was neither up nor
       down more than .40% and where the price range was in the lowest
       quartile for the sample overall.  Twenty days later, the S&P 500
       was up on average by .60% (111 up, 62 down), compared with an
       average gain of .74% (2433 up, 1581 down) for the sample
       overall.  Interestingly, the average price range 20 days
       following the low price change/low volatility periods was 4.43%,
       below the 6.35% average for the overall sample.  Low volatility
       again led to low volatility.
       What can we conclude?  This certainly is a period of low
       volatility and low price change.  Such times have occurred over
       the 16-year period studied, but have not resulted in a
       distinctive directional edge 20 days later.  There is a bullish
       drift embedded within the 1990-2005 sample, and we see the same
       drift following low volatility periods as at other times.  That
       doesn't mean that we cannot decline over the next twenty
       days--indeed, may website  has detailed some of my
       intermediate-term concerns regarding weakness in the broad
       market--but it does mean that there is no general, historical
       bearish edge when price change and volatility are low.
       What we do see is that low volatility does not generally beget
       high volatility.  The twenty days following a low 20-day
       volatility period are more likely to have a narrow trading range
       than a broad one.  Putting all of one's chips on a breakout move
       of large proportions may pay off, but the historical odds do not
       support that wager.
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