Technical Trading
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In finance, technical analysis is an
analysis Analysis (: analyses) is the process of breaking a complex topic or substance into smaller parts in order to gain a better understanding of it. The technique has been applied in the study of mathematics and logic since before Aristotle (38 ...
methodology for analysing and forecasting the direction of
prices A price is the (usually not negative) quantity of payment or compensation expected, required, or given by one party to another in return for goods or services. In some situations, especially when the product is a service rather than a phys ...
through the study of past market data, primarily price and volume. As a type of
active management Active may refer to: Music * ''Active'' (album), a 1992 album by Casiopea * "Active" (song), a 2024 song by Asake and Travis Scott from Asake's album ''Lungu Boy'' * Active Records, a record label Ships * ''Active'' (ship), several com ...
, it stands in contradiction to much of
modern portfolio theory Modern portfolio theory (MPT), or mean-variance analysis, is a mathematical framework for assembling a portfolio of assets such that the expected return is maximized for a given level of risk. It is a formalization and extension of Diversificatio ...
. The efficacy of technical analysis is disputed by the
efficient-market hypothesis The efficient-market hypothesis (EMH) is a hypothesis in financial economics that states that asset prices reflect all available information. A direct implication is that it is impossible to "beat the market" consistently on a risk-adjusted basis ...
, which states that stock market prices are essentially unpredictable, and research on whether technical analysis offers any benefit has produced mixed results.Osler, Karen (July 2000). "Support for Resistance: Technical Analysis and Intraday Exchange Rates," FRBNY Economic Policy Review
abstract and paper here
.
It is distinguished from
fundamental analysis Fundamental analysis, in accounting and finance, is the analysis of a business's financial statements (usually to analyze the business's assets, Liability (financial accounting), liabilities, and earnings); health; Competition, competitors and Ma ...
, which considers a company's financial statements, health, and the overall state of the market and economy.


History

The principles of technical analysis are derived from hundreds of years of
financial market A financial market is a market in which people trade financial securities and derivatives at low transaction costs. Some of the securities include stocks and bonds, raw materials and precious metals, which are known in the financial marke ...
data. Some aspects of technical analysis began to appear in Amsterdam-based merchant
Joseph de la Vega José or Joseph Penso de la Vega, best known as Joseph de la Vega (ca. 1650 — Amsterdam, 13 November, 1692), was a Sephardic Jews, Sephardic Jewish merchant in diamonds, financial expert, moral philosophy, moral philosopher and poet, residing i ...
's accounts of the Dutch financial markets in the 17th century. In Asia, technical analysis is said to be a method developed by Homma Munehisa during the early 18th century which evolved into the use of candlestick techniques, and is today a technical analysis charting tool. Journalist
Charles Dow Charles Henry Dow (; November 6, 1851 – December 4, 1902) was an American journalist who co-founded Dow Jones & Company with Edward Jones and Charles Bergstresser. Dow also co-founded ''The Wall Street Journal'', which has become one of th ...
(1851-1902) compiled and closely analyzed American stock market data, and published some of his conclusions in editorials for
The Wall Street Journal ''The Wall Street Journal'' (''WSJ''), also referred to simply as the ''Journal,'' is an American newspaper based in New York City. The newspaper provides extensive coverage of news, especially business and finance. It operates on a subscriptio ...
. He believed patterns and
business cycle Business cycles are intervals of general expansion followed by recession in economic performance. The changes in economic activity that characterize business cycles have important implications for the welfare of the general population, governmen ...
s could possibly be found in this data, a concept later known as "
Dow theory The Dow theory on stock price movement is a form of technical analysis that includes some aspects of sector rotation. The theory was derived from 255 editorials in ''The Wall Street Journal'' written by Charles H. Dow (1851–1902), journalist, ...
". However, Dow himself never advocated using his ideas as a stock trading strategy. In the 1920s and 1930s, Richard W. Schabacker published several books which continued the work of
Charles Dow Charles Henry Dow (; November 6, 1851 – December 4, 1902) was an American journalist who co-founded Dow Jones & Company with Edward Jones and Charles Bergstresser. Dow also co-founded ''The Wall Street Journal'', which has become one of th ...
and
William Peter Hamilton William Peter Hamilton (January 20, 1867 – December 9, 1929), a proponent of Dow Theory, was the fourth editor of the ''Wall Street Journal'', serving in that capacity for more than 20 years (i.e., January 1, 1908 – December 9, 1929). ...
in their books ''Stock Market Theory and Practice'' and ''Technical Market Analysis''. In 1948, Robert D. Edwards and John Magee published ''Technical Analysis of Stock Trends'' which is widely considered to be one of the seminal works of the discipline. It is exclusively concerned with trend analysis and chart patterns and remains in use to the present. Early technical analysis was almost exclusively the analysis of charts because the processing power of computers was not available for the modern degree of statistical analysis. Charles Dow reportedly originated a form of point and figure chart analysis. With the emergence of behavioral finance as a separate discipline in economics, Paul V. Azzopardi combined technical analysis with behavioral finance and coined the term "Behavioral Technical Analysis". Other pioneers of analysis techniques include
Ralph Nelson Elliott Ralph Nelson Elliott (28 July 1871 – 15 January 1948) was an American accountant and author whose study of stock market data led him to develop the Wave Principle, a description of the cyclical nature of trader psychology and a form of technic ...
,
William Delbert Gann William Delbert Gann (June 6, 1878 – June 18, 1955) or WD Gann, was a finance trader who developed the technical analysis methods like the '' Gann angles'' and the ''Master Charts'', where the latter is a collective name for his various to ...
, and
Richard Wyckoff Richard Demille Wyckoff (November 2, 1873 – March 7, 1934) was an American stock market investor, and the founder and onetime editor of the ''Magazine of Wall Street'' (founding it in 1907). He was also editor of ''Stock Market Technique''. ...
who developed their respective techniques in the early 20th century.


General description

Fundamental analysts examine earnings, dividends, assets, quality, ratios, new products, research and the like. Technicians employ many methods, tools and techniques as well, one of which is the use of charts. Using charts, technical analysts seek to identify price patterns and
market trend A market trend is a perceived tendency of the financial markets to move in a particular direction over time. Analysts classify these trends as ''secular'' for long time-frames, ''primary'' for medium time-frames, and ''secondary'' for short time ...
s in financial markets and attempt to exploit those patterns.Murphy, John J. ''Technical Analysis of the Financial Markets''. New York Institute of Finance, 1999, pp. 1–5, 24–31. Technicians using charts search for archetypal price chart patterns, such as the well-known head and shoulders or double top/bottom reversal patterns, study
technical indicator In technical analysis in finance, a technical indicator is a mathematical calculation based on historic price, volume, or (in the case of futures contracts) open interest information that aims to forecast financial market direction. Technical ind ...
s,
moving average In statistics, a moving average (rolling average or running average or moving mean or rolling mean) is a calculation to analyze data points by creating a series of averages of different selections of the full data set. Variations include: #Simpl ...
s and look for forms such as lines of support, resistance, channels and more obscure formations such as
flags A flag is a piece of fabric (most often rectangular) with distinctive colours and design. It is used as a symbol, a signalling device, or for decoration. The term ''flag'' is also used to refer to the graphic design employed, and flags have ...
, pennants, balance days and
cup and handle In the domain of technical analysis of market prices, a cup and handle or cup with handle formation is a chart pattern consisting of a drop in the price and a rise back up to the original value, followed first by a smaller drop and then a rise pa ...
patterns. Technical analysts also widely use market indicators of many sorts, some of which are mathematical transformations of price, often including up and down volume, advance/decline data and other inputs. These indicators are used to help assess whether an asset is trending, and if it is, the probability of its direction and of continuation. Technicians also look for relationships between price/volume indices and market indicators. Examples include the
moving average In statistics, a moving average (rolling average or running average or moving mean or rolling mean) is a calculation to analyze data points by creating a series of averages of different selections of the full data set. Variations include: #Simpl ...
,
relative strength index The relative strength index (RSI) is a technical indicator used in the analysis of financial markets. It is intended to chart the current and historical strength or weakness of a stock or market based on the closing prices of a recent trading per ...
and
MACD MACD, short for moving average convergence/divergence, is a trading indicator used in technical analysis of securities prices, created by Gerald Appel in the late 1970s. It is designed to reveal changes in the strength, direction, momentum, and ...
. Other avenues of study include correlations between changes in Options ( implied volatility) and put/call ratios with price. Also important are sentiment indicators such as Put/Call ratios, bull/bear ratios, short interest, Implied Volatility, etc. There are many techniques in technical analysis. Adherents of different techniques (for example: Candlestick analysis, the oldest form of technical analysis developed by a Japanese grain trader;
Harmonics In physics, acoustics, and telecommunications, a harmonic is a sinusoidal wave with a frequency that is a positive integer multiple of the ''fundamental frequency'' of a periodic signal. The fundamental frequency is also called the ''1st harm ...
;
Dow theory The Dow theory on stock price movement is a form of technical analysis that includes some aspects of sector rotation. The theory was derived from 255 editorials in ''The Wall Street Journal'' written by Charles H. Dow (1851–1902), journalist, ...
; and Elliott wave theory) may ignore the other approaches, yet many traders combine elements from more than one technique. Some technical analysts use subjective judgment to decide which pattern(s) a particular instrument reflects at a given time and what the interpretation of that pattern should be. Others employ a strictly mechanical or systematic approach to pattern identification and interpretation.


Comparison with fundamental analysis

Contrasting with technical analysis is ''
fundamental analysis Fundamental analysis, in accounting and finance, is the analysis of a business's financial statements (usually to analyze the business's assets, Liability (financial accounting), liabilities, and earnings); health; Competition, competitors and Ma ...
'': the study of economic and other underlying factors that influence the way investors price financial markets. This may include regular corporate metrics like a company's recent
EBITDA A company's earnings before interest, taxes, depreciation, and amortization (commonly abbreviated EBITDA, pronounced ) is a measure of a company's profitability of the operating business only, thus before any effects of indebtedness, state-mandat ...
figures, the estimated impact of recent staffing changes to the
board of directors A board of directors is a governing body that supervises the activities of a business, a nonprofit organization, or a government agency. The powers, duties, and responsibilities of a board of directors are determined by government regulatio ...
, geopolitical considerations, and even scientific factors like the estimated future effects of
global warming Present-day climate change includes both global warming—the ongoing increase in global average temperature—and its wider effects on Earth's climate system. Climate change in a broader sense also includes previous long-term changes ...
. Pure forms of technical analysis can hold that prices already reflect all the underlying fundamental factors. Uncovering future trends is what technical indicators are designed to do, although neither technical nor fundamental indicators are perfect. Some traders use technical or fundamental analysis exclusively, while others use both types to make trading decisions.


Comparison with quantitative analysis

The contrast against quantitative analysis is less clear cut than the distinction with fundamental analysis. Some sources treat technical and quantitative analysis as more or less synonymous, while others draw a sharp distinction. For example, quantitative analysis expert
Paul Wilmott Paul Wilmott (born 8 November 1959) is an English people, English researcher, consultant and lecturer in quantitative finance.


Principles

A core principle of technical analysis is that a market's price reflects all relevant information impacting that market. A technical analyst therefore looks at the history of a security or commodity's trading pattern rather than external drivers such as economic, fundamental and news events. It is believed that price action tends to repeat itself due to the collective, patterned behavior of investors. Hence technical analysis focuses on identifiable price trends and conditions.


Market action discounts everything

Based on the premise that all relevant information is already reflected by prices, technical analysts believe it is important to understand what investors think of that information, known and perceived.


Prices move in trends

Technical analysts believe that prices trend directionally, i.e., up, down, or sideways (flat) or some combination. The basic definition of a price trend was originally put forward by
Dow theory The Dow theory on stock price movement is a form of technical analysis that includes some aspects of sector rotation. The theory was derived from 255 editorials in ''The Wall Street Journal'' written by Charles H. Dow (1851–1902), journalist, ...
. An example of a security that had an apparent trend is AOL from November 2001 through August 2002. A technical analyst or trend follower recognizing this trend would look for opportunities to sell this security. AOL consistently moves downward in price. Each time the stock rose, sellers would enter the market and sell the stock; hence the "zig-zag" movement in the price. The series of "lower highs" and "lower lows" is a tell tale sign of a stock in a down trend.Kahn, Michael N. (2006). ''Technical Analysis Plain and Simple: Charting the Markets in Your Language'', Financial Times Press, Upper Saddle River, New Jersey, p. 80. . In other words, each time the stock moved lower, it fell below its previous relative low price. Each time the stock moved higher, it could not reach the level of its previous relative high price. Note that the sequence of lower lows and lower highs did not begin until August. Then AOL makes a low price that does not pierce the relative low set earlier in the month. Later in the same month, the stock makes a relative high equal to the most recent relative high. In this a technician sees strong indications that the down trend is at least pausing and possibly ending, and would likely stop actively selling the stock at that point.


History tends to repeat itself

Technical analysts believe that investors collectively repeat the behavior of the investors who preceded them. To a technician, the emotions in the market may be irrational, but they exist. Because investor behavior repeats itself so often, technicians believe that recognizable (and predictable) price patterns will develop on a chart. Recognition of these patterns can allow the technician to select trades that have a higher
probability Probability is a branch of mathematics and statistics concerning events and numerical descriptions of how likely they are to occur. The probability of an event is a number between 0 and 1; the larger the probability, the more likely an e ...
of success. Technical analysis is not limited to charting, but it always considers price trends. For example, many technicians monitor surveys of investor sentiment. These surveys gauge the attitude of market participants, specifically whether they are
bearish Market sentiment, also known as investor attention, is the general prevailing attitude of investors as to anticipated price development in a market. This attitude is the accumulation of a variety of fundamental and technical factors, including ...
or
bullish Market sentiment, also known as investor attention, is the general prevailing attitude of investors as to anticipated price development in a market. This attitude is the accumulation of a variety of fundamental and technical factors, including ...
. Technicians use these surveys to help determine whether a trend will continue or if a reversal could develop; they are most likely to anticipate a change when the surveys report extreme investor sentiment. Surveys that show overwhelming bullishness, for example, are evidence that an uptrend may reverse; the premise being that if most investors are bullish they have already bought the market (anticipating higher prices). And because most investors ''are'' bullish and invested, one assumes that few buyers remain. This leaves more potential sellers than buyers, despite the bullish sentiment. This suggests that prices will trend down, and is an example of contrarian trading.


Industry

The industry is globally represented by the International Federation of Technical Analysts (IFTA), which is a federation of regional and national organizations. In the United States, the industry is represented by both the CMT Association and the American Association of Professional Technical Analysts (AAPTA). The United States is also represented by the Technical Security Analysts Association of San Francisco (TSAASF). In the United Kingdom, the industry is represented by the Society of Technical Analysts (STA). The STA was a founding member of IFTA, has recently celebrated its 50th anniversary and certifies analysts with the Diploma in Technical Analysis. In Canada the industry is represented by the Canadian Society of Technical Analysts. In Australia, the industry is represented by the Australian Technical Analysts Association (ATAA), (which is affiliated to IFTA) and the Australian Professional Technical Analysts (APTA) Inc. Professional technical analysis societies have worked on creating a body of knowledge that describes the field of Technical Analysis. A body of knowledge is central to the field as a way of defining how and why technical analysis may work. It can then be used by academia, as well as regulatory bodies, in developing proper research and standards for the field. The CMT Association has published a body of knowledge, which is the structure for the Chartered Market Technician (CMT) exam.


Software

Technical analysis software automates the charting, analysis and reporting functions that support technical analysts in their review and prediction of
financial market A financial market is a market in which people trade financial securities and derivatives at low transaction costs. Some of the securities include stocks and bonds, raw materials and precious metals, which are known in the financial marke ...
s (e.g. the
stock market A stock market, equity market, or share market is the aggregation of buyers and sellers of stocks (also called shares), which represent ownership claims on businesses; these may include ''securities'' listed on a public stock exchange a ...
). In addition to installable desktop-based software packages in the traditional sense, the industry has seen an emergence of cloud-based applications and application programming interfaces (APIs) that deliver technical indicators (e.g., MACD, Bollinger Bands) via
RESTful REST (Representational State Transfer) is a software architectural style that was created to describe the design and guide the development of the architecture for the World Wide Web. REST defines a set of constraints for how the architecture of ...
HTTP or intranet protocols. Modern technical analysis software is often available as a web or a smartphone application, without the need to download and install a software package. Some of them even offer an integrated programming language and automatic backtesting tools.


Systematic trading


Neural networks

Since the early 1990s when the first practically usable types emerged,
artificial neural network In machine learning, a neural network (also artificial neural network or neural net, abbreviated ANN or NN) is a computational model inspired by the structure and functions of biological neural networks. A neural network consists of connected ...
s (ANNs) have rapidly grown in popularity. They are
artificial intelligence Artificial intelligence (AI) is the capability of computer, computational systems to perform tasks typically associated with human intelligence, such as learning, reasoning, problem-solving, perception, and decision-making. It is a field of re ...
adaptive software systems that have been inspired by how biological neural networks work. They are used because they can learn to detect complex patterns in data. In mathematical terms, they are universal function approximators, meaning that given the right data and configured correctly, they can capture and model any input-output relationships. This not only removes the need for human interpretation of charts or the series of rules for generating entry/exit signals, but also provides a bridge to fundamental analysis, as the variables used in fundamental analysis can be used as input. As ANNs are essentially non-linear statistical models, their accuracy and prediction capabilities can be both mathematically and empirically tested. In various studies, authors have claimed that neural networks used for generating trading signals given various technical and fundamental inputs have significantly outperformed buy-hold strategies as well as traditional linear technical analysis methods when combined with rule-based expert systems. While the advanced mathematical nature of such adaptive systems has kept neural networks for financial analysis mostly within academic research circles, in recent years more user friendly
neural network software Neural network software is used to simulate, research, develop, and apply artificial neural networks, software concepts adapted from biological neural networks, and in some cases, a wider array of adaptive systems such as artificial intelligenc ...
has made the technology more accessible to traders.


Backtesting/Hindcasting

Systematic trading is most often employed after testing an investment strategy on historic data. This is known as
backtesting Backtesting is a term used in modeling to refer to testing a predictive model on historical data. Backtesting is a type of retrodiction, and a special type of cross-validation applied to previous time period(s). Financial analysis In the econo ...
(or hindcasting). Backtesting is most often performed for technical indicators combined with volatility but can be applied to most investment strategies (e.g. fundamental analysis). While traditional backtesting was done by hand, this was usually only performed on human-selected stocks, and was thus prone to prior knowledge in stock selection. With the advent of computers, backtesting can be performed on entire exchanges over decades of historic data in very short amounts of time. The use of computers does have its drawbacks, being limited to algorithms that a computer can perform. Several trading strategies rely on human interpretation, and are unsuitable for computer processing. Only technical indicators which are entirely algorithmic can be programmed for computerized automated backtesting.


Combination with other market forecast methods

John Murphy states that the principal sources of information available to technicians are price, volume and
open interest Open or OPEN may refer to: Music * Open (band), Australian pop/rock band * The Open (band), English indie rock band * ''Open'' (Blues Image album), 1969 * ''Open'' (Gerd Dudek, Buschi Niebergall, and Edward Vesala album), 1979 * ''Open'' (Go ...
. Other data, such as indicators and
sentiment analysis Sentiment analysis (also known as opinion mining or emotion AI) is the use of natural language processing, text analysis, computational linguistics, and biometrics to systematically identify, extract, quantify, and study affective states and subje ...
, are considered secondary. However, many technical analysts reach outside pure technical analysis, combining other market forecast methods with their technical work. One advocate for this approach is John Bollinger, who coined the term ''rational analysis'' in the middle 1980s for the intersection of technical analysis and fundamental analysis. Another such approach, fusion analysis, overlays fundamental analysis with technical, in an attempt to improve portfolio manager performance. Technical analysis is also often combined with quantitative analysis and economics. For example, neural networks may be used to help identify intermarket relationships. Investor and newsletter polls, and magazine cover sentiment indicators, are also used by technical analysts.


Empirical evidence

Whether technical analysis actually works is a matter of controversy. Methods vary greatly, and different technical analysts can sometimes make contradictory predictions from the same data. Many investors claim that they experience positive returns, but academic appraisals often find that it has little
predictive power The concept of predictive power, the power of a scientific theory to generate testable predictions, differs from ''explanatory power'' and ''descriptive power'' (where phenomena that are already known are retrospectively explained or described ...
. Of 95 modern studies, 56 concluded that technical analysis had positive results, although data-snooping bias and other problems make the analysis difficult. Nonlinear prediction using
neural networks A neural network is a group of interconnected units called neurons that send signals to one another. Neurons can be either Cell (biology), biological cells or signal pathways. While individual neurons are simple, many of them together in a netwo ...
occasionally produces
statistically significant In statistical hypothesis testing, a result has statistical significance when a result at least as "extreme" would be very infrequent if the null hypothesis were true. More precisely, a study's defined significance level, denoted by \alpha, is the ...
prediction results. A
Federal Reserve The Federal Reserve System (often shortened to the Federal Reserve, or simply the Fed) is the central banking system of the United States. It was created on December 23, 1913, with the enactment of the Federal Reserve Act, after a series of ...
working paper regarding support and resistance levels in short-term foreign exchange rates "offers strong evidence that the levels help to predict intraday trend interruptions", although the "predictive power" of those levels was "found to vary across the exchange rates and firms examined". Technical trading strategies were found to be effective in the Chinese marketplace by a 2007 study that states, "Finally, we find significant positive returns on buy trades generated by the contrarian version of the moving-average crossover rule, the channel breakout rule, and the Bollinger band trading rule, after accounting for transaction costs of 0.50%." An influential 1992 study by Brock et al. appeared to find support for technical trading rules. Sullivan and Timmerman tested the 1992 study for data snooping and other problems in 1999; they determined the sample covered by Brock et al. was robust to data snooping. Subsequently, a comprehensive study of the question by Amsterdam economist Gerwin Griffioen concludes that: "for the U.S., Japanese and most Western European stock market indices the recursive out-of-sample forecasting procedure does not show to be profitable, after implementing little transaction costs. Moreover, for sufficiently high transaction costs it is found, by estimating CAPMs, that technical trading shows no statistically significant risk-corrected out-of-sample forecasting power for almost all of the stock market indices."Griffioen,
Technical Analysis in Financial Markets
'
Transaction costs are particularly applicable to "momentum strategies"; a comprehensive 1996 review of the data and studies concluded that even small transaction costs would lead to an inability to capture any excess from such strategies. In a 2000 paper published in the ''
Journal of Finance ''The Journal of Finance'' is a peer-reviewed academic journal published by Wiley-Blackwell on behalf of the American Finance Association. It was established in 1946. The editor-in-chief is Antoinette Schoar. According to the ''Journal Citation R ...
'', professor Andrew W. Lo of MIT, working with Harry Mamaysky and Jiang Wang found that: In that same paper Lo wrote that "several academic studies suggest that ... technical analysis may well be an effective means for extracting useful information from market prices." Some techniques such as Drummond Geometry attempt to overcome the past data bias by projecting support and resistance levels from differing time frames into the near-term future and combining that with reversion to the mean techniques.


Efficient-market hypothesis

The
efficient-market hypothesis The efficient-market hypothesis (EMH) is a hypothesis in financial economics that states that asset prices reflect all available information. A direct implication is that it is impossible to "beat the market" consistently on a risk-adjusted basis ...
(EMH) contradicts the basic tenets of technical analysis by stating that past prices cannot be used to profitably predict future prices. Thus it holds that technical analysis cannot be effective. Economist
Eugene Fama Eugene Francis "Gene" Fama (; born February 14, 1939) is an American economist, best known for his empirical work on portfolio theory, asset pricing, and the efficient-market hypothesis. He is currently Robert R. McCormick Distinguished Servic ...
published the seminal paper on the EMH in the ''Journal of Finance'' in 1970, and said "In short, the evidence in support of the efficient markets model is extensive, and (somewhat uniquely in economics) contradictory evidence is sparse." However, because future stock prices can be strongly influenced by investor expectations, technicians claim it only follows that past prices influence future prices.Aronson, David R. (2006)
''Evidence-Based Technical Analysis''
Hoboken, New Jersey: John Wiley and Sons, pages 357, 355–356, 342. .
They also point to research in the field of
behavioral finance Behavioral economics is the study of the psychological (e.g. cognitive, behavioral, affective, social) factors involved in the decisions of individuals or institutions, and how these decisions deviate from those implied by traditional economi ...
, specifically that people are not the rational participants EMH makes them out to be. Technicians have long said that irrational human behavior influences stock prices, and that this behavior leads to predictable outcomes. Author David Aronson says that the theory of behavioral finance blends with the practice of technical analysis:
By considering the impact of emotions, cognitive errors, irrational preferences, and the dynamics of group behavior, behavioral finance offers succinct explanations of excess market volatility as well as the excess returns earned by stale information strategies.... cognitive errors may also explain the existence of market inefficiencies that spawn the systematic price movements that allow objective TA echnical analysismethods to work.
EMH advocates reply that while individual market participants do not always act rationally (or have complete information), their aggregate decisions balance each other, resulting in a rational outcome (optimists who buy stock and bid the price higher are countered by pessimists who sell their stock, which keeps the price in equilibrium).Clarke, J., T. Jandik, and Gershon Mandelker (2001). "The efficient markets hypothesis," ''Expert Financial Planning: Advice from Industry Leaders'', ed. R. Arffa, 126–141. New York: Wiley & Sons. Likewise, complete information is reflected in the price because all market participants bring their own individual, but incomplete, knowledge together in the market.


Random walk hypothesis

The
random walk hypothesis The random walk hypothesis is a financial theory stating that stock market prices evolve according to a random walk (so price changes are random) and thus cannot be predicted. History The concept can be traced to French broker Jules Regnault who p ...
may be derived from the weak-form efficient markets hypothesis, which is based on the assumption that market participants take full account of any information contained in past price movements (but not necessarily other public information). In his book ''A Random Walk Down Wall Street'', Princeton economist
Burton Malkiel Burton Gordon Malkiel (born August 28, 1932) is an American economist, financial executive, and writer most noted for his classic finance book ''A Random Walk Down Wall Street'' (first published 1973, in its 13th edition as of 2023). Malkiel i ...
said that technical forecasting tools such as pattern analysis must ultimately be self-defeating: "The problem is that once such a regularity is known to market participants, people will act in such a way that prevents it from happening in the future." Malkiel has stated that while momentum may explain some stock price movements, there is not enough momentum to make excess profits. Malkiel has compared technical analysis to "
astrology Astrology is a range of Divination, divinatory practices, recognized as pseudoscientific since the 18th century, that propose that information about human affairs and terrestrial events may be discerned by studying the apparent positions ...
".Robert Huebscher
Burton Malkiel Talks the Random Walk
7 July 2009.
In the late 1980s, professors Andrew Lo and Craig McKinlay published a paper which cast doubt on the random walk hypothesis. In a 1999 response to Malkiel, Lo and McKinlay collected empirical papers that questioned the hypothesis' applicability that suggested a non-random and possibly predictive component to stock price movement, though they were careful to point out that rejecting random walk does not necessarily invalidate EMH, which is an entirely separate concept from RWH. In a 2000 paper,
Andrew Lo Andrew Wen-Chuan Lo (; born 1960) is a Hong Kong-born Taiwanese-American economist and academic who is the Charles E. and Susan T. Harris Professor of Finance at the MIT Sloan School of Management. Lo is the author of many academic articles in f ...
back-analyzed data from the U.S. from 1962 to 1996 and found that "several technical indicators do provide incremental information and may have some practical value". Burton Malkiel dismissed the irregularities mentioned by Lo and McKinlay as being too small to profit from. Technicians argue that the EMH and random walk theories both ignore the realities of markets, in that participants are not completely rational and that current price moves are not independent of previous moves. Some signal processing researchers negate the random walk hypothesis that stock market prices resemble
Wiener process In mathematics, the Wiener process (or Brownian motion, due to its historical connection with Brownian motion, the physical process of the same name) is a real-valued continuous-time stochastic process discovered by Norbert Wiener. It is one o ...
es, because the statistical moments of such processes and real stock data vary significantly with respect to window size and
similarity measure In statistics and related fields, a similarity measure or similarity function or similarity metric is a real-valued function that quantifies the similarity between two objects. Although no single definition of a similarity exists, usually such mea ...
. They argue that feature transformations used for the description of audio and
biosignal A biosignal is any signal in living beings that can be continually measured and monitored. The term biosignal is often used to refer to bioelectrical signals, but it may refer to both electrical and non-electrical signals. The usual understandin ...
s can also be used to predict stock market prices successfully which would contradict the random walk hypothesis. The random walk index (RWI) is a technical indicator that attempts to determine if a stock's price movement is random in nature or a result of a statistically significant trend. The random walk index attempts to determine when the market is in a strong uptrend or downtrend by measuring price ranges over N and how it differs from what would be expected by a random walk (randomly going up or down). The greater the range suggests a stronger trend. Applying Kahneman and Tversky's
prospect theory Prospect theory is a theory of behavioral economics, judgment and decision making that was developed by Daniel Kahneman and Amos Tversky in 1979. The theory was cited in the decision to award Kahneman the 2002 Nobel Memorial Prize in Economics. ...
to price movements, Paul V. Azzopardi provided a possible explanation why fear makes prices fall sharply while greed pushes up prices gradually. This commonly observed behaviour of securities prices is sharply at odds with random walk. By gauging greed and fear in the market, investors can better formulate long and short portfolio stances.


Scientific technical analysis

Caginalp and Balenovich in 1994 used their asset-flow differential equations model to show that the major patterns of technical analysis could be generated with some basic assumptions. Some of the patterns such as a triangle continuation or reversal pattern can be generated with the assumption of two distinct groups of investors with different assessments of valuation. The major assumptions of the models are the finiteness of assets and the use of trend as well as valuation in decision making. Many of the patterns follow as mathematically logical consequences of these assumptions. One of the problems with conventional technical analysis has been the difficulty of specifying the patterns in a manner that permits objective testing. Japanese candlestick patterns involve patterns of a few days that are within an uptrend or downtrend. Caginalp and Laurent were the first to perform a successful large scale test of patterns. A mathematically precise set of criteria were tested by first using a definition of a short-term trend by smoothing the data and allowing for one deviation in the smoothed trend. They then considered eight major three-day candlestick reversal patterns in a non-parametric manner and defined the patterns as a set of inequalities. The results were positive with an overwhelming statistical confidence for each of the patterns using the data set of all S&P 500 stocks daily for the five-year period 1992–1996. Among the most basic ideas of conventional technical analysis is that a trend, once established, tends to continue. However, testing for this trend has often led researchers to conclude that stocks are a random walk. One study, performed by Poterba and Summers, found a small trend effect that was too small to be of trading value. As Fisher Black noted, "noise" in trading price data makes it difficult to test hypotheses. One method for avoiding this noise was discovered in 1995 by Caginalp and Constantine who used a ratio of two essentially identical closed-end funds to eliminate any changes in valuation. A closed-end fund (unlike an open-end fund) trades independently of its net asset value and its shares cannot be redeemed, but only traded among investors as any other stock on the exchanges. In this study, the authors found that the best estimate of tomorrow's price is not yesterday's price (as the efficient-market hypothesis would indicate), nor is it the pure momentum price (namely, the same relative price change from yesterday to today continues from today to tomorrow). But rather it is almost exactly halfway between the two. Starting from the characterization of the past time evolution of market prices in terms of price velocity and price acceleration, an attempt towards a general framework for technical analysis has been developed, with the goal of establishing a principled classification of the possible patterns characterizing the deviation or defects from the random walk market state and its time translational invariant properties. The classification relies on two dimensionless parameters, the
Froude number In continuum mechanics, the Froude number (, after William Froude, ) is a dimensionless number defined as the ratio of the flow inertia to the external force field (the latter in many applications simply due to gravity). The Froude number is ba ...
characterizing the relative strength of the acceleration with respect to the velocity and the time horizon forecast dimensionalized to the training period. Trend-following and contrarian patterns are found to coexist and depend on the dimensionless time horizon. Using a renormalisation group approach, the probabilistic based scenario approach exhibits statistically significant predictive power in essentially all tested market phases. A survey of modern studies by Park and Irwin showed that most found a positive result from technical analysis. In 2011, Caginalp and DeSantis have used large data sets of closed-end funds, where comparison with valuation is possible, in order to determine quantitatively whether key aspects of technical analysis such as trend and resistance have scientific validity. Using data sets of over 100,000 points they demonstrate that trend has an effect that is at least half as important as valuation. The effects of volume and volatility, which are smaller, are also evident and statistically significant. An important aspect of their work involves the nonlinear effect of trend. Positive trends that occur within approximately 3.7 standard deviations have a positive effect. For stronger uptrends, there is a negative effect on returns, suggesting that profit taking occurs as the magnitude of the uptrend increases. For downtrends the situation is similar except that the "buying on dips" does not take place until the downtrend is a 4.6 standard deviation event. These methods can be used to examine investor behavior and compare the underlying strategies among different asset classes. In 2013, Kim Man Lui and T Chong pointed out that the past findings on technical analysis mostly reported the profitability of specific trading rules for a given set of historical data. These past studies had not taken the human trader into consideration as no real-world trader would mechanically adopt signals from any technical analysis method. Therefore, to unveil the truth of technical analysis, we should get back to understand the performance between experienced and novice traders. If the market really walks randomly, there will be no difference between these two kinds of traders. However, it is found by experiment that traders who are more knowledgeable on technical analysis significantly outperform those who are less knowledgeable.


Ticker-tape reading

Until the mid-1960s, tape reading was a popular form of technical analysis. It consisted of reading market information such as price, volume, order size, and so on from a paper strip which ran through a machine called a
stock ticker Ticker tape was the earliest electrical dedicated financial communications medium, transmitting stock price information over telegraph lines, in use from around 1870 to 1970. It consisted of a paper strip that ran through a machine called a sto ...
. Market data was sent to brokerage houses and to the homes and offices of the most active speculators. This system fell into disuse with the advent of electronic information panels in the late 60's, and later computers, which allow for the easy preparation of charts.
Jesse Livermore Jesse Lauriston Livermore (July 26, 1877 – November 28, 1940) was an American stock trader. He is considered a pioneer of day trading and was the basis for the main character of ''Reminiscences of a Stock Operator'', a best-selling book by Edw ...
, one of the most successful stock market operators of all time, was primarily concerned with ticker tape reading since a young age. He followed his own (mechanical) trading system (he called it the 'market key'), which did not need charts, but was relying solely on price data. He described his market key in detail in his 1940s book 'How to Trade in Stocks'. Livermore's system was determining market phases (trend, correction etc.) via past price data. He also made use of volume data (which he estimated from how stocks behaved and via 'market testing', a process of testing market liquidity via sending in small market orders), as described in his 1940s book.


Quotation board

Another form of technical analysis used so far was via interpretation of stock market data contained in quotation boards, that in the times before electronic screens, were huge chalkboards located in the stock exchanges, with data of the main financial assets listed on exchanges for analysis of their movements. It was manually updated with chalk, with the updates regarding some of these data being transmitted to environments outside of exchanges (such as brokerage houses, bucket shops, etc.) via the aforementioned tape,
telegraph Telegraphy is the long-distance transmission of messages where the sender uses symbolic codes, known to the recipient, rather than a physical exchange of an object bearing the message. Thus flag semaphore is a method of telegraphy, whereas ...
, telephone and later
telex Telex is a telecommunication Telecommunication, often used in its plural form or abbreviated as telecom, is the transmission of information over a distance using electronic means, typically through cables, radio waves, or other communica ...
. This analysis tool was used both, on the spot, mainly by market professionals, as well as by general public through the printed versions in newspapers showing the data of the negotiations of the previous day, for swing and position trades.


Charting terms and indicators


Concepts

* Average true rangeaveraged daily trading range, adjusted for price gaps. * Breakoutthe concept whereby prices forcefully penetrate an area of prior
support Support may refer to: Arts, entertainment, and media * Supporting character * Support (art), a solid surface upon which a painting is executed Business and finance * Support (technical analysis) * Child support * Customer support * Income Su ...
or resistance, usually, but not always, accompanied by an increase in volume. *
Chart pattern A chart pattern or price pattern is a pattern within a chart when prices are graphed. In stock and commodity markets trading, chart pattern studies play a large role during technical analysis. When data is plotted there is usually a pattern which n ...
distinctive pattern created by the movement of security or commodity prices on a chart *
Cycles Cycle, cycles, or cyclic may refer to: Anthropology and social sciences * Cyclic history, a theory of history * Cyclical theory, a theory of American political history associated with Arthur Schlesinger, Sr. * Social cycle, various cycles in ...
time targets for potential change in price action (price only moves up, down, or sideways) *
Dead cat bounce In finance, a dead cat bounce is a small, brief recovery in the price of a declining asset. Derived from the idea that "even a dead cat will bounce if it falls from a great height", the phrase is also popularly applied to any case where a subject ...
the phenomenon whereby a spectacular decline in the price of a stock is immediately followed by a moderate and temporary rise before resuming its downward movement * Elliott wave principle and the
golden ratio In mathematics, two quantities are in the golden ratio if their ratio is the same as the ratio of their summation, sum to the larger of the two quantities. Expressed algebraically, for quantities and with , is in a golden ratio to if \fr ...
to calculate successive price movements and retracements * Fibonacci ratiosused as a guide to determine support and resistance and retracement percentages *
Momentum In Newtonian mechanics, momentum (: momenta or momentums; more specifically linear momentum or translational momentum) is the product of the mass and velocity of an object. It is a vector quantity, possessing a magnitude and a direction. ...
the rate of price change * Point and figure analysisA priced-based analytical approach employing numerical filters which may incorporate time references, though ignores time entirely in its construction * Resistancea price level that may prompt a net increase of selling activity *
Support Support may refer to: Arts, entertainment, and media * Supporting character * Support (art), a solid surface upon which a painting is executed Business and finance * Support (technical analysis) * Child support * Customer support * Income Su ...
a price level that may prompt a net increase of buying activity * Trendingthe phenomenon by which price movement tends to persist in one direction for an extended period of time


Types of charts

*
Candlestick chart A candlestick chart (also called Japanese candlestick chart or K-line) is a style of financial chart used to describe price movements of a security, derivative, or currency. While similar in appearance to a bar chart, each candlestick represent ...
Of Japanese origin and similar to OHLC, candlesticks widen and fill the interval between the open and close prices to emphasize the open/close relationship. In the West, often black or red candle bodies represent a close lower than the open, while white, green or blue candles represent a close higher than the open price. *
Line chart A line chart or line graph, also known as curve chart, is a type of chart that displays information as a series of data points called 'markers' connected by straight wikt:line, line segments. It is a basic type of chart common in many fields. ...
Connects the closing price values with line segments. You can also choose to draw the line chart using open, high or low price. *
Open-high-low-close chart An open-high-low-close chart (OHLC) is a type of chart typically used in technical analysis to illustrate movements in the price of a financial instrument over time. Each vertical line on the chart shows the price range (the highest and lowest p ...
OHLC charts, also known as bar charts, plot the span between the high and low prices of a trading period as a vertical line segment at the trading time, and the open and close prices with horizontal tick marks on the range line, usually a tick to the left for the open price and a tick to the right for the closing price. * Point and figure charta chart type employing numerical filters with only passing references to time, and which ignores time entirely in its construction.


Overlays

Overlays are generally superimposed over the main price chart. * Bollinger bandsa range of price volatility *
Channel Channel, channels, channeling, etc., may refer to: Geography * Channel (geography), a landform consisting of the outline (banks) of the path of a narrow body of water. Australia * Channel Country, region of outback Australia in Queensland and pa ...
a pair of parallel trend lines * Ichimoku kinko hyoa moving average-based system that factors in time and the average point between a candle's high and low *
Moving average In statistics, a moving average (rolling average or running average or moving mean or rolling mean) is a calculation to analyze data points by creating a series of averages of different selections of the full data set. Variations include: #Simpl ...
an average over a window of time before and after a given time point that is repeated at each time point in the given chart. A moving average can be thought of as a kind of dynamic trend-line. * Parabolic SARWilder's trailing stop based on
prices A price is the (usually not negative) quantity of payment or compensation expected, required, or given by one party to another in return for goods or services. In some situations, especially when the product is a service rather than a phys ...
tending to stay within a parabolic curve during a strong trend * Pivot pointderived by calculating the numerical average of a particular currency's or stock's high, low and closing prices * Resistancea price level that may act as a ceiling above price *
Support Support may refer to: Arts, entertainment, and media * Supporting character * Support (art), a solid surface upon which a painting is executed Business and finance * Support (technical analysis) * Child support * Customer support * Income Su ...
a price level that may act as a floor below price * Trend linea sloping line described by at least two peaks or two troughs * Zig ZagThis chart overlay that shows filtered price movements that are greater than a given percentage.


Breadth indicators

These indicators are based on statistics derived from the broad market. * Advance–decline linea popular indicator of market breadth. * McClellan Oscillator – a popular
closed-form Closed form may refer to: Mathematics * Closed-form expression, a finitary expression * Closed differential form In mathematics, especially vector calculus and differential topology, a closed form is a differential form ''α'' whose exterior deri ...
indicator of breadth. * McClellan Summation Index – a popular open-form indicator of breadth.


Price-based indicators

These indicators are generally shown below or above the main price chart. * Average directional indexa widely used indicator of trend strength. *
Commodity channel index The commodity channel index (CCI) is an Oscillator_(technical_analysis), oscillator indicator that is used by Trader (finance), traders and investors to help identify Price action trading, price reversals, price extremes and trend strength when usi ...
identifies cyclical trends. *
MACD MACD, short for moving average convergence/divergence, is a trading indicator used in technical analysis of securities prices, created by Gerald Appel in the late 1970s. It is designed to reveal changes in the strength, direction, momentum, and ...
moving average In statistics, a moving average (rolling average or running average or moving mean or rolling mean) is a calculation to analyze data points by creating a series of averages of different selections of the full data set. Variations include: #Simpl ...
convergence/divergence. *
Momentum In Newtonian mechanics, momentum (: momenta or momentums; more specifically linear momentum or translational momentum) is the product of the mass and velocity of an object. It is a vector quantity, possessing a magnitude and a direction. ...
the rate of price change. *
Relative strength index The relative strength index (RSI) is a technical indicator used in the analysis of financial markets. It is intended to chart the current and historical strength or weakness of a stock or market based on the closing prices of a recent trading per ...
(RSI)oscillator showing price strength. * Relative Vigor Index (RVI)oscillator measures the conviction of a recent price action and the likelihood that it will continue. *
Stochastic oscillator Stochastic oscillator is a momentum indicator within technical analysis that uses support and resistance levels as an oscillator. George Lane developed this indicator in the late 1950s. The term ''stochastic Stochastic (; ) is the property of ...
close position within recent trading range. * Trixan oscillator showing the slope of a triple-smoothed exponential
moving average In statistics, a moving average (rolling average or running average or moving mean or rolling mean) is a calculation to analyze data points by creating a series of averages of different selections of the full data set. Variations include: #Simpl ...
. * Vortex Indicatoran indicator used to identify the existence, continuation, initiation or termination of trends.


Volume-based indicators

* Accumulation/distribution indexbased on the close within the day's range. * Money flow indexthe amount of stock traded on days the price went up. * On-balance volumethe momentum of buying and selling stocks.


Trading with Mixing Indicators

*
MACD MACD, short for moving average convergence/divergence, is a trading indicator used in technical analysis of securities prices, created by Gerald Appel in the late 1970s. It is designed to reveal changes in the strength, direction, momentum, and ...
& Average directional index *
MACD MACD, short for moving average convergence/divergence, is a trading indicator used in technical analysis of securities prices, created by Gerald Appel in the late 1970s. It is designed to reveal changes in the strength, direction, momentum, and ...
& Super Trend *
MACD MACD, short for moving average convergence/divergence, is a trading indicator used in technical analysis of securities prices, created by Gerald Appel in the late 1970s. It is designed to reveal changes in the strength, direction, momentum, and ...
&
Moving average In statistics, a moving average (rolling average or running average or moving mean or rolling mean) is a calculation to analyze data points by creating a series of averages of different selections of the full data set. Variations include: #Simpl ...
*MACD & RSI *MACD & Moving Averages


See also

*
Algorithmic trading Algorithmic trading is a method of executing orders using automated pre-programmed trading instructions accounting for variables such as time, price, and volume. This type of trading attempts to leverage the speed and computational resources of ...
*
Apophenia Apophenia () is the tendency to perceive meaningful connections between unrelated things. The term ( from the ) was coined by psychiatrist Klaus Conrad in his 1958 publication on the beginning stages of schizophrenia. He defined it as "unmot ...
*
Behavioral finance Behavioral economics is the study of the psychological (e.g. cognitive, behavioral, affective, social) factors involved in the decisions of individuals or institutions, and how these decisions deviate from those implied by traditional economi ...
* Certified Financial Technician / Master of Financial Technical Analysis *
Chartered Market Technician The CMT Association is a non-profit, global, professional association of technical analysis, technical analysts headquartered in New York City, servicing over 4,500 market analysis professionals in around 137 countries. The CMT Association is a gl ...
*
Clustering illusion The clustering illusion is the tendency to erroneously consider the inevitable "streaks" or "clusters" arising in small samples from random distributions to be non-random. The illusion is caused by a human tendency to underpredict the amount of St ...
*
Financial signal processing Financial signal processing is a branch of signal processing technologies which applies to signals within financial markets. They are often used by quantitative analysts to make best estimation of the movement of financial markets, such as stock ...
*
Market analysis A market analysis studies the attractiveness and the dynamics of a special market within a special industry. It is part of the industry analysis and thus in turn of the global environmental analysis. Through all of these analyses the strengths, ...
*
Market timing Market timing is the strategy of making buying or selling decisions of financial assets (often stocks) by attempting to predict future market price movements (market trends). The prediction may be based on an outlook of market or economic condition ...
*
Mathematical finance Mathematical finance, also known as quantitative finance and financial mathematics, is a field of applied mathematics, concerned with mathematical modeling in the financial field. In general, there exist two separate branches of finance that req ...
*
Multimedia information retrieval Multimedia information retrieval (MMIR or MIR) is a research discipline of computer science that aims at extracting semantic information from multimedia data sources.H Eidenberger. ''Fundamental Media Understanding'', atpress, 2011, p. 1. Data sour ...
*
Multiple comparisons problem Multiple comparisons, multiplicity or multiple testing problem occurs in statistics when one considers a set of statistical inferences simultaneously or estimates a subset of parameters selected based on the observed values. The larger the numbe ...
*
Overfitting In mathematical modeling, overfitting is "the production of an analysis that corresponds too closely or exactly to a particular set of data, and may therefore fail to fit to additional data or predict future observations reliably". An overfi ...
*
Price action trading Price action trading is about reading what the market is doing, so you can deploy the right trading strategy to reap the maximum benefits. In simple words, price action is a trading technique in which a trader reads the market and makes subjective ...
*
Texas sharpshooter fallacy The Texas sharpshooter fallacy is an informal fallacy which is committed when differences in data are ignored, but similarities are overemphasized. From this reasoning, a false conclusion is inferred. This fallacy is the philosophical or rhetorical ...
*
William Peter Hamilton William Peter Hamilton (January 20, 1867 – December 9, 1929), a proponent of Dow Theory, was the fourth editor of the ''Wall Street Journal'', serving in that capacity for more than 20 years (i.e., January 1, 1908 – December 9, 1929). ...


References


Bibliography

* * * *


Further reading

* Azzopardi, Paul V. ''Behavioural Technical Analysis: An introduction to behavioural finance and its role in technical analysis''. Harriman House, 2010. * Colby, Robert W. ''The Encyclopedia of Technical Market Indicators''. 2nd Edition. McGraw Hill, 2003. * Covel, Michael. ''The Complete Turtle Trader''.
HarperCollins HarperCollins Publishers LLC is a British–American publishing company that is considered to be one of the "Big Five (publishers), Big Five" English-language publishers, along with Penguin Random House, Hachette Book Group USA, Hachette, Macmi ...
, 2007. * Douglas, Mark. ''The Disciplined Trader''. New York Institute of Finance, 1990. * Edwards, Robert D.; Magee, John; Bassetti, W.H.C. ''Technical Analysis of Stock Trends'', 9th Edition (Hardcover). American Management Association, 2007. * Fox, Justin. ''The Myth of the Rational Market''. HarperCollings, 2009. * Hurst, J. M. ''The Profit Magic of Stock Transaction Timing''. Prentice-Hall, 1972. * Neill, Humphrey B. ''Tape Reading & Market Tactics''. First edition of 1931. Market Place 2007 reprint * Neill, Humphrey B. ''The Art of Contrary Thinking''. Caxton Press 1954. * Pring, Martin J. ''Technical Analysis Explained: The Successful Investor's Guide to Spotting Investment Trends and Turning Points''. McGraw Hill, 2002. * Raschke, Linda Bradford; Connors, Lawrence A. ''Street Smarts: High Probability Short-Term Trading Strategies''. M. Gordon Publishing Group, 1995. * Rollo Tape & Wyckoff, Richard D. ''Studies in Tape Reading'' The Ticker Publishing Co. NY 1910. * Tharp, Van K. ''Definitive Guide to Position Sizing'' International Institute of Trading Mastery, 2008. * Wilder, J. Welles. ''New Concepts in Technical Trading Systems''. Trend Research, 1978. * Ladis Konecny, ''Stocks and Exchange – the only Book you need'', 2013, , technical analysis = chapter 8. *Schabackers, Richard W. ''Stock Market Theory and Practice,'' 2011.


External links

;International and national organizations
International Federation of Technical Analysts
* Singapore
Technical Analysts Society (Singapore)
* United States
CMT Association
* United Kingdom
Society of Technical Analysts
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