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Technical AnalysisTechnical Analysis
www.StudsPlanet.com
Introduction
 Technical analysis is the attempt to forecast
stock prices on the basis of market-derived data.
 Technicians (also known as quantitative analysts
or chartists) usually look at price, volume and
psychological indicators over time.
 They are looking for trends and patterns in the
data that indicate future price movements.
www.StudsPlanet.com
The Potential Rewards
 This chart, from Norman Fosbeck, shows how market
timing can benefit your returns. The only problem is that
you have to be very good at it.
Alternative Market Strategies (1964 to 1984)
Strategy Avg. Annual Gain $10,000 Grows To
Buy and Hold 11.46% 87,500$
Avoid Bear Markets 21.48% 489,700$
Long and Short Major Swings 27.99% 1,391,200$
Long and Short Every 5% Swing 93.18% 5,240,000,000$
www.StudsPlanet.com
The Potential Rewards
 This chart, from Barron’s, shows the benefit of being
smart enough to miss the worst 5 days of the year
between Feb 1966 and Oct 2001.
Source: “The Truth About Timing,” by Jacqueline Doherty,
Barron’s (November 5, 2001)
www.StudsPlanet.com
Agenda
 Charting Stocks
 Bar Charts and Japanese Candlestick Charts
 Point and Figure Charts
 Major Chart Patterns
 Price-based Indicators
 Volume-based Indicators
 Dow Theory
 Elliot Wave
www.StudsPlanet.com
Charting the Market
 Chartists use bar charts, candlestick, or point and
figure charts to look for patterns which may
indicate future price movements.
 They also analyze volume and other
psychological indicators (breadth, % of bulls vs
% of bears, put/call ratio, etc.).
 Strict chartists don’t care about fundamentals at
all.
www.StudsPlanet.com
Drawing Bar (OHLC) Charts
 Each bar is composed of 4
elements:
 Open
 High
 Low
 Close
 Note that the candlestick body
is empty (white) on up days,
and filled (some color) on
down days
 Note: You should print the
example charts (next two
slides) to see them more
clearly
Open
Close
High
Low
Standard
BarChart
Japanese
Candlestick
Open
Close
High
Low
Standard
BarChart
Japanese
Candlestick
www.StudsPlanet.com
Types of Charts: Bar Charts
 This is a bar (open, high, low, close or OHLC) chart of
AMAT from early July to mid October 2001.
www.StudsPlanet.com
Types of Charts: Japanese Candlesticks
 This is a Japanese Candlestick (open, high, low, close)
chart of AMAT from early July to mid October 2001
www.StudsPlanet.com
Drawing Point & Figure Charts
 Point & Figure charts are
independent of time.
 An X represents an up move.
 An O represents a down
move.
 The Box Size is the number of
points needed to make an X or
O.
 The Reversal is the price
change needed to recognize a
change in direction.
 Typically, P&F charts use a 1-
point box and a 3-point
reversal.
X
X
X
X
X
O
O
X
X
X
X
O
O
O
O
www.StudsPlanet.com
Chart Types: Point & Figure Charts
 This is a Point & Figure chart of AMAT from early July
to mid October 2001.
www.StudsPlanet.com
Basic Technical Tools
 Trend Lines
 Moving Averages
 Price Patterns
 Indicators
 Cycles
www.StudsPlanet.com
Trend Lines
 There are three basic
kinds of trends:
 An Up trend where prices
are generally increasing.
 A Down trend where
prices are generally
decreasing.
 A Trading Range.
www.StudsPlanet.com
Support & Resistance
 Support and resistance lines
indicate likely ends of trends.
 Resistance results from the
inability to surpass prior
highs.
 Support results from the
inability to break below to
prior lows.
 What was support becomes
resistance, and vice-versa.
Support Resistance
Breakout
www.StudsPlanet.com
Simple Moving Averages
 A moving average is simply
the average price (usually the
closing price) over the last N
periods.
 They are used to smooth out
fluctuations of less than N
periods.
 This chart shows MSFT with
a 10-day moving average.
Note how the moving average
shows much less volatility
than the daily stock price.
MSFT Daily Prices with 10-day MA
9/23/93 to 9/21/94
30
35
40
45
50
55
60
1 21 41 61 81 101 121 141 161 181 201 221 241
Date
Price
www.StudsPlanet.com
Price Patterns
 Technicians look for many patterns in the
historical time series of prices.
 These patterns are reputed to provide
information regarding the size and timing of
subsequent price moves.
 But don’t forget that the EMH says these
patterns are illusions, and have no real meaning.
In fact, they can be seen in a randomly generated
price series.
www.StudsPlanet.com
Head and Shoulders
 This formation is
characterized by two
small peaks on either
side of a larger peak.
 This is a reversal pattern,
meaning that it signifies
a change in the trend.
Head
Head
LeftShoulder
LeftShoulder
RightShoulder
RightShoulder
Neckline
Neckline
H&STop
H&SBottom
www.StudsPlanet.com
Head & Shoulders Example
Sell Signal
Minimum Target Price
Based on measurement rule
www.StudsPlanet.com
Double Tops and Bottoms
 These formations are
similar to the H&S
formations, but there is
no head.
 These are reversal
patterns with the same
measuring implications
as the H&S.
Target
DoubleTop
DoubleBottom
Target
www.StudsPlanet.com
Double Bottom Example
www.StudsPlanet.com
Triangles
 Triangles are
continuation formations.
 Three flavors:
 Ascending
 Descending
 Symmetrical
 Typically, triangles
should break out about
half to three-quarters of
the way through the
formation.
Ascending
Descending
Symmetrical
Symmetrical
www.StudsPlanet.com
Rounded Tops & Bottoms
 Rounding formations are
characterized by a slow
reversal of trend.
RoundingTop
Rounding
Bottom
www.StudsPlanet.com
Rounded Bottom Chart Example
www.StudsPlanet.com
Broadening Formations
 These formations are like
reverse triangles.
 These formations usually
signal a reversal of the
trend.
BroadeningTops
BroadeningBottoms
www.StudsPlanet.com
DJIA Oct 2000 to Oct 2001 Example
What could you have known,
and when could you have known it?
www.StudsPlanet.com
DJIA Oct 2000 to Oct 2001 Example
Double bottom
Gap, should get
filled
Nov to Mar
Trading range
Descending
triangles
www.StudsPlanet.com
Technical Indicators
 There are, literally, hundreds of technical indicators used
to generate buy and sell signals.
 We will look at just a few that I use:
 Moving Average Convergence/Divergence (MACD)
 Relative Strength Index (RSI)
 On Balance Volume
 Bollinger Bands
 For information on other indicators see my Investments
Class Links page under the heading “Technical Analysis
Links.” (
http://clem.mscd.edu/~mayest/FIN3600/FIN3600_Links.htm)
www.StudsPlanet.com
MACD
 MACD was developed by Gerald Appel as a way to keep
track of a moving average crossover system.
 Appel defined MACD as the difference between a 12-
day and 26-day moving average. A 9-day moving
average of this difference is used to generate signals.
 When this signal line goes from negative to positive, a
buy signal is generated.
 When the signal line goes from positive to negative, a
sell signal is generated.
 MACD is best used in choppy (trendless) markets, and is
subject to whipsaws (in and out rapidly with little or no
profit).
www.StudsPlanet.com
MACD Example Chart
www.StudsPlanet.com
Relative Strength Index (RSI)
 RSI was developed by Welles Wilder as an oscillator to
gauge overbought/oversold levels.
 RSI is a rescaled measure of the ratio of average price
changes on up days to average price changes on down
days.
 The most important thing to understand about RSI is that
a level above 70 indicates a stock is overbought, and a
level below 30 indicates that it is oversold (it can range
from 0 to 100).
 Also, realize that stocks can remain overbought or
oversold for long periods of time, so RSI alone isn’t
always a great timing tool.
www.StudsPlanet.com
RSI Example Chart
OversoldOverbought
www.StudsPlanet.com
On Balance Volume
 On Balance Volume was developed by Joseph Granville,
one of the most famous technicians of the 1960’s and
1970’s.
 OBV is calculated by adding volume on up days, and
subtracting volume on down days. A running total is
kept.
 Granville believed that “volume leads price.”
 To use OBV, you generally look for OBV to show a
change in trend (a divergence from the price trend).
 If the stock is in an uptrend, but OBV turns down, that is
a signal that the price trend may soon reverse.
www.StudsPlanet.com
OBV Example Chart
Divergence, OBV failed
OBV confirms
trend change
but doesn’t
lead
www.StudsPlanet.com
Bollinger Bands
 Bollinger bands were created by John Bollinger (former FNN
technical analyst, and regular guest on CNBC).
 Bollinger Bands are based on a moving average of the closing price.
 They are two standard deviations above and below the moving
average.
 A buy signal is given when the stock price closes below the lower
band, and a sell signal is given when the stock price closes above the
upper band.
 When the bands contract, that is a signal that a big move is coming,
but it is impossible to say if it will be up or down.
 In my experience, the buy signals are far more reliable than the sell
signals.
www.StudsPlanet.com
Bollinger Bands Example Chart
Sell signal
Buy signals
Sometimes, the buy
signals just keep coming and
you can go broke!
www.StudsPlanet.com
Dow Theory
 This theory was first stated by Charles Dow in a
series of columns in the WSJ between 1900 and
1902.
 Dow (and later Hamilton and Rhea) believed that
market trends forecast trends in the economy.
 A change in the trend of the DJIA must be
confirmed by a trend change in the DJTA in
order to generate a valid signal.
www.StudsPlanet.com
Dow Theory Trends (1)
 Primary Trend
 Called “the tide” by Dow, this is the trend that
defines the long-term direction (up to several years).
Others have called this a “secular” bull or bear
market.
 Secondary Trend
 Called “the waves” by Dow, this is shorter-term
departures from the primary trend (weeks to months)
 Day to day fluctuations
 Not significant in Dow Theory
www.StudsPlanet.com
Dow Theory Trends (2)
www.StudsPlanet.com
Does Dow Theory Work?
 According to Martin Pring, if you had invested
$44 in 1897 and followed all buy and sell
signals, by 1981 you would have accumulated
about $18,000.
 If you had simply invested $44 and held that
portfolio, by 1981 you would have accumulated
about $960.
www.StudsPlanet.com
Elliot Wave Principle (1)
 R.N. Elliot formulated this idea in a series of articles in
Financial World in 1939.
 Elliot believed that the market has a rhythmic regularity
that can be used to predict future prices.
 The Elliot Wave Principle is based on a repeating 8-wave
cycle, and each cycle is made up of similar shorter-term
cycles (“Big fleas have little fleas upon their backs to
bite 'em - little fleas have smaller fleas and so on ad
infinitem”).
 Elliot Wave adherents also make extensive use of the
Fibonacci series.
www.StudsPlanet.com
The Elliot Wave Principle (2)
1
2
3
4
5
A
B
C
www.StudsPlanet.com
Fibonacci Numbers
 Fibonacci numbers are a series where each succeeding number is the
sum of the two preceding numbers.
 The first two Fibonacci numbers are defined to be 1, and then the
series continues as follows: 1, 1, 2, 3, 5, 8, 13, 21…
 As the numbers get larger, the ratio of adjacent numbers approaches
the Golden Mean: 1.618:1.
 This ratio is found extensively in nature, and has been used in
architecture since the ancient Greeks (who believed that a rectangle
whose sides had the ratio of 1.618:1 was the most aesthetically
pleasing).
 Technical analysts use this ratio and its inverse, 0.618, extensively
to provide projections of price moves.
www.StudsPlanet.com
Does Elliot Wave Work?
 Who knows? One of the biggest problems with Elliot
Wave is that no two practitioners seem to agree on the
wave count, and therefore on the prediction of what’s to
come.
 Robert Prechter (the most famous EW practitioner) made
several astoundingly correct predictions in the 1980’s,
but hasn’t been so prescient since (he no longer gets
much press attention).
 For example, in 1985 he predicted that the market would
peak in 1987 (correct), but he thought it would peak at
3686 (± 100 points).
 The DJIA actually peaked on 25 August 1987 at
2722.42, more than 960 points lower.
www.StudsPlanet.com
Too Many Others To List
 As noted, there are literally hundreds of indicators and thousands of
trading systems.
 A whole semester could easily be spent on just a handful of these.
 To close, just note that there is nothing so crazy that somebody
doesn’t use it to trade.
 For example, many people use astrology, geometry (Gann angles),
neural networks, chaos theory, etc.
 There’s no doubt that each of these (and others) would have made
you lots of money at one time or another. The real question is can
they do it consistently?
 As the carneys used to say, “You pays your money, and you takes
your chances.”
www.StudsPlanet.com

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Technical

  • 2. Introduction  Technical analysis is the attempt to forecast stock prices on the basis of market-derived data.  Technicians (also known as quantitative analysts or chartists) usually look at price, volume and psychological indicators over time.  They are looking for trends and patterns in the data that indicate future price movements. www.StudsPlanet.com
  • 3. The Potential Rewards  This chart, from Norman Fosbeck, shows how market timing can benefit your returns. The only problem is that you have to be very good at it. Alternative Market Strategies (1964 to 1984) Strategy Avg. Annual Gain $10,000 Grows To Buy and Hold 11.46% 87,500$ Avoid Bear Markets 21.48% 489,700$ Long and Short Major Swings 27.99% 1,391,200$ Long and Short Every 5% Swing 93.18% 5,240,000,000$ www.StudsPlanet.com
  • 4. The Potential Rewards  This chart, from Barron’s, shows the benefit of being smart enough to miss the worst 5 days of the year between Feb 1966 and Oct 2001. Source: “The Truth About Timing,” by Jacqueline Doherty, Barron’s (November 5, 2001) www.StudsPlanet.com
  • 5. Agenda  Charting Stocks  Bar Charts and Japanese Candlestick Charts  Point and Figure Charts  Major Chart Patterns  Price-based Indicators  Volume-based Indicators  Dow Theory  Elliot Wave www.StudsPlanet.com
  • 6. Charting the Market  Chartists use bar charts, candlestick, or point and figure charts to look for patterns which may indicate future price movements.  They also analyze volume and other psychological indicators (breadth, % of bulls vs % of bears, put/call ratio, etc.).  Strict chartists don’t care about fundamentals at all. www.StudsPlanet.com
  • 7. Drawing Bar (OHLC) Charts  Each bar is composed of 4 elements:  Open  High  Low  Close  Note that the candlestick body is empty (white) on up days, and filled (some color) on down days  Note: You should print the example charts (next two slides) to see them more clearly Open Close High Low Standard BarChart Japanese Candlestick Open Close High Low Standard BarChart Japanese Candlestick www.StudsPlanet.com
  • 8. Types of Charts: Bar Charts  This is a bar (open, high, low, close or OHLC) chart of AMAT from early July to mid October 2001. www.StudsPlanet.com
  • 9. Types of Charts: Japanese Candlesticks  This is a Japanese Candlestick (open, high, low, close) chart of AMAT from early July to mid October 2001 www.StudsPlanet.com
  • 10. Drawing Point & Figure Charts  Point & Figure charts are independent of time.  An X represents an up move.  An O represents a down move.  The Box Size is the number of points needed to make an X or O.  The Reversal is the price change needed to recognize a change in direction.  Typically, P&F charts use a 1- point box and a 3-point reversal. X X X X X O O X X X X O O O O www.StudsPlanet.com
  • 11. Chart Types: Point & Figure Charts  This is a Point & Figure chart of AMAT from early July to mid October 2001. www.StudsPlanet.com
  • 12. Basic Technical Tools  Trend Lines  Moving Averages  Price Patterns  Indicators  Cycles www.StudsPlanet.com
  • 13. Trend Lines  There are three basic kinds of trends:  An Up trend where prices are generally increasing.  A Down trend where prices are generally decreasing.  A Trading Range. www.StudsPlanet.com
  • 14. Support & Resistance  Support and resistance lines indicate likely ends of trends.  Resistance results from the inability to surpass prior highs.  Support results from the inability to break below to prior lows.  What was support becomes resistance, and vice-versa. Support Resistance Breakout www.StudsPlanet.com
  • 15. Simple Moving Averages  A moving average is simply the average price (usually the closing price) over the last N periods.  They are used to smooth out fluctuations of less than N periods.  This chart shows MSFT with a 10-day moving average. Note how the moving average shows much less volatility than the daily stock price. MSFT Daily Prices with 10-day MA 9/23/93 to 9/21/94 30 35 40 45 50 55 60 1 21 41 61 81 101 121 141 161 181 201 221 241 Date Price www.StudsPlanet.com
  • 16. Price Patterns  Technicians look for many patterns in the historical time series of prices.  These patterns are reputed to provide information regarding the size and timing of subsequent price moves.  But don’t forget that the EMH says these patterns are illusions, and have no real meaning. In fact, they can be seen in a randomly generated price series. www.StudsPlanet.com
  • 17. Head and Shoulders  This formation is characterized by two small peaks on either side of a larger peak.  This is a reversal pattern, meaning that it signifies a change in the trend. Head Head LeftShoulder LeftShoulder RightShoulder RightShoulder Neckline Neckline H&STop H&SBottom www.StudsPlanet.com
  • 18. Head & Shoulders Example Sell Signal Minimum Target Price Based on measurement rule www.StudsPlanet.com
  • 19. Double Tops and Bottoms  These formations are similar to the H&S formations, but there is no head.  These are reversal patterns with the same measuring implications as the H&S. Target DoubleTop DoubleBottom Target www.StudsPlanet.com
  • 21. Triangles  Triangles are continuation formations.  Three flavors:  Ascending  Descending  Symmetrical  Typically, triangles should break out about half to three-quarters of the way through the formation. Ascending Descending Symmetrical Symmetrical www.StudsPlanet.com
  • 22. Rounded Tops & Bottoms  Rounding formations are characterized by a slow reversal of trend. RoundingTop Rounding Bottom www.StudsPlanet.com
  • 23. Rounded Bottom Chart Example www.StudsPlanet.com
  • 24. Broadening Formations  These formations are like reverse triangles.  These formations usually signal a reversal of the trend. BroadeningTops BroadeningBottoms www.StudsPlanet.com
  • 25. DJIA Oct 2000 to Oct 2001 Example What could you have known, and when could you have known it? www.StudsPlanet.com
  • 26. DJIA Oct 2000 to Oct 2001 Example Double bottom Gap, should get filled Nov to Mar Trading range Descending triangles www.StudsPlanet.com
  • 27. Technical Indicators  There are, literally, hundreds of technical indicators used to generate buy and sell signals.  We will look at just a few that I use:  Moving Average Convergence/Divergence (MACD)  Relative Strength Index (RSI)  On Balance Volume  Bollinger Bands  For information on other indicators see my Investments Class Links page under the heading “Technical Analysis Links.” ( http://clem.mscd.edu/~mayest/FIN3600/FIN3600_Links.htm) www.StudsPlanet.com
  • 28. MACD  MACD was developed by Gerald Appel as a way to keep track of a moving average crossover system.  Appel defined MACD as the difference between a 12- day and 26-day moving average. A 9-day moving average of this difference is used to generate signals.  When this signal line goes from negative to positive, a buy signal is generated.  When the signal line goes from positive to negative, a sell signal is generated.  MACD is best used in choppy (trendless) markets, and is subject to whipsaws (in and out rapidly with little or no profit). www.StudsPlanet.com
  • 30. Relative Strength Index (RSI)  RSI was developed by Welles Wilder as an oscillator to gauge overbought/oversold levels.  RSI is a rescaled measure of the ratio of average price changes on up days to average price changes on down days.  The most important thing to understand about RSI is that a level above 70 indicates a stock is overbought, and a level below 30 indicates that it is oversold (it can range from 0 to 100).  Also, realize that stocks can remain overbought or oversold for long periods of time, so RSI alone isn’t always a great timing tool. www.StudsPlanet.com
  • 32. On Balance Volume  On Balance Volume was developed by Joseph Granville, one of the most famous technicians of the 1960’s and 1970’s.  OBV is calculated by adding volume on up days, and subtracting volume on down days. A running total is kept.  Granville believed that “volume leads price.”  To use OBV, you generally look for OBV to show a change in trend (a divergence from the price trend).  If the stock is in an uptrend, but OBV turns down, that is a signal that the price trend may soon reverse. www.StudsPlanet.com
  • 33. OBV Example Chart Divergence, OBV failed OBV confirms trend change but doesn’t lead www.StudsPlanet.com
  • 34. Bollinger Bands  Bollinger bands were created by John Bollinger (former FNN technical analyst, and regular guest on CNBC).  Bollinger Bands are based on a moving average of the closing price.  They are two standard deviations above and below the moving average.  A buy signal is given when the stock price closes below the lower band, and a sell signal is given when the stock price closes above the upper band.  When the bands contract, that is a signal that a big move is coming, but it is impossible to say if it will be up or down.  In my experience, the buy signals are far more reliable than the sell signals. www.StudsPlanet.com
  • 35. Bollinger Bands Example Chart Sell signal Buy signals Sometimes, the buy signals just keep coming and you can go broke! www.StudsPlanet.com
  • 36. Dow Theory  This theory was first stated by Charles Dow in a series of columns in the WSJ between 1900 and 1902.  Dow (and later Hamilton and Rhea) believed that market trends forecast trends in the economy.  A change in the trend of the DJIA must be confirmed by a trend change in the DJTA in order to generate a valid signal. www.StudsPlanet.com
  • 37. Dow Theory Trends (1)  Primary Trend  Called “the tide” by Dow, this is the trend that defines the long-term direction (up to several years). Others have called this a “secular” bull or bear market.  Secondary Trend  Called “the waves” by Dow, this is shorter-term departures from the primary trend (weeks to months)  Day to day fluctuations  Not significant in Dow Theory www.StudsPlanet.com
  • 38. Dow Theory Trends (2) www.StudsPlanet.com
  • 39. Does Dow Theory Work?  According to Martin Pring, if you had invested $44 in 1897 and followed all buy and sell signals, by 1981 you would have accumulated about $18,000.  If you had simply invested $44 and held that portfolio, by 1981 you would have accumulated about $960. www.StudsPlanet.com
  • 40. Elliot Wave Principle (1)  R.N. Elliot formulated this idea in a series of articles in Financial World in 1939.  Elliot believed that the market has a rhythmic regularity that can be used to predict future prices.  The Elliot Wave Principle is based on a repeating 8-wave cycle, and each cycle is made up of similar shorter-term cycles (“Big fleas have little fleas upon their backs to bite 'em - little fleas have smaller fleas and so on ad infinitem”).  Elliot Wave adherents also make extensive use of the Fibonacci series. www.StudsPlanet.com
  • 41. The Elliot Wave Principle (2) 1 2 3 4 5 A B C www.StudsPlanet.com
  • 42. Fibonacci Numbers  Fibonacci numbers are a series where each succeeding number is the sum of the two preceding numbers.  The first two Fibonacci numbers are defined to be 1, and then the series continues as follows: 1, 1, 2, 3, 5, 8, 13, 21…  As the numbers get larger, the ratio of adjacent numbers approaches the Golden Mean: 1.618:1.  This ratio is found extensively in nature, and has been used in architecture since the ancient Greeks (who believed that a rectangle whose sides had the ratio of 1.618:1 was the most aesthetically pleasing).  Technical analysts use this ratio and its inverse, 0.618, extensively to provide projections of price moves. www.StudsPlanet.com
  • 43. Does Elliot Wave Work?  Who knows? One of the biggest problems with Elliot Wave is that no two practitioners seem to agree on the wave count, and therefore on the prediction of what’s to come.  Robert Prechter (the most famous EW practitioner) made several astoundingly correct predictions in the 1980’s, but hasn’t been so prescient since (he no longer gets much press attention).  For example, in 1985 he predicted that the market would peak in 1987 (correct), but he thought it would peak at 3686 (± 100 points).  The DJIA actually peaked on 25 August 1987 at 2722.42, more than 960 points lower. www.StudsPlanet.com
  • 44. Too Many Others To List  As noted, there are literally hundreds of indicators and thousands of trading systems.  A whole semester could easily be spent on just a handful of these.  To close, just note that there is nothing so crazy that somebody doesn’t use it to trade.  For example, many people use astrology, geometry (Gann angles), neural networks, chaos theory, etc.  There’s no doubt that each of these (and others) would have made you lots of money at one time or another. The real question is can they do it consistently?  As the carneys used to say, “You pays your money, and you takes your chances.” www.StudsPlanet.com

Editor's Notes

  1. This chart was created on 10 Oct. 2001 as I was preparing these notes. The October 2000 to October 2001 time period has been rich in technical formations. The formations shown are: A trading range from November 2000 to March 2001. The bottom of a trading range acts as a support level, and the top as resistance. We look for an eventual breakout of the range. In this case, it broke out to the downside signifying a trading opportunity on the short side of the market. A double bottom formation in mid-March to early April. This formation gives a buy signal when the second bottom is higher (or equal to) the previous bottom. In this case that was in early April, though it takes a few days to be sure of the signal. A second buy signal was generated when the resistance level from the previous trading range was broken. A Descending Triangle in May and June. This formation, which I find to be very reliable, is expected to break out to the downside. It did. Another Descending Triangle from mid-July to late August. Again, it would be expected to breakout to the downside. It did, even before the September 11 tragedy. The last formation shown was the gap down after the 11 Sept terrorist attacks. As noted on the chart, gaps are usually “filled” (that is, prices eventually should move back to the level before the gap). After a gap is filled (or, on a candlestick chart they say, “the window was closed”), prices will often reverse for at least a short time. The level at which the gap began becomes a resistance level. In fact, the gap was closed one month later on October 11. On October 12, the index declined by 66.29 points.