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The Elliott wave principle, or Elliott wave theory, is a form of
technical analysis In finance, technical analysis is an analysis methodology for analysing and forecasting the direction of prices through the study of past market data, primarily price and volume. As a type of active management, it stands in contradiction to ...
that helps financial traders analyze market cycles and forecast
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 by identifying extremes in investor psychology and price levels, such as highs and lows, by looking for patterns in prices.
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 ...
(1871–1948), an American accountant, developed a model for the underlying social principles of financial markets by studying their price movements, and developed a set of analytical tools in the 1930s. He proposed that market prices unfold in specific patterns, which practitioners today call ''Elliott waves'', or simply ''waves''. Elliott published his theory of market behavior in the book ''The Wave Principle'' in 1938, summarized it in a series of articles in ''Financial World'' magazine in 1939, and covered it most comprehensively in his final major work ''Nature's Laws: The Secret of the Universe'' in 1946. Elliott stated that "because man is subject to rhythmical procedure, calculations having to do with his activities can be projected far into the future with a justification and certainty heretofore unattainable".


Foundation

The Elliott wave principle posits that collective trader psychology, a form of
crowd psychology Crowd psychology (or mob psychology) is a subfield of social psychology which examines how the psychology of a group of people differs from the psychology of any one person within the group. The study of crowd psychology looks into the actions ...
, moves between optimism and pessimism in repeating sequences of intensity and duration. These mood swings create patterns in the price movements of markets at every degree of
trend A fad, trend, or craze is any form of collective behavior that develops within a culture, a generation, or social group in which a group of people enthusiastically follow an impulse for a short time period. Fads are objects or behaviors th ...
or time scale. According to Elliott's theory, markets move through two phases: a motive (''impulsive'') phase, where prices move in the direction of the main trend, and a corrective phase, where prices move against the trend, as the illustration shows. Impulses are always subdivided into a set of five lower-degree waves, alternating again between motive and corrective character, so that waves ''1'', ''3'', and ''5'' are impulses, and waves ''2'' and ''4'' are smaller retraces of waves ''1'' and ''3'' respectively. Corrective waves subdivide into three smaller-degree waves starting with a five-wave counter-trend impulse, a retrace, and another impulse. In a
bear market 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 ...
the dominant trend is downward, and the pattern is reversed—five waves down and three up. Motive waves always move with the trend, while corrective waves move against it.


Wave degree

The Elliott wave principle explains that market movements form recurring patterns of five-wave and three-wave structures, which repeat across various timeframes and exhibit fractal-like behavior. Each level of such timescales is called the degree of the wave, or price pattern. Each degree of waves consists of one full cycle of motive and corrective waves. Waves ''1'', ''3'', and ''5'' of each cycle are motive in character, while waves ''2'' and ''4'' are corrective. The majority of motive waves assure forward progress in the direction of the prevailing trend, in bull or bear markets, but yielding an overall principle of growth of a market. The overall movement of a wave one degree higher is upward in a bullish trend. After the initial five waves forward and three waves of correction, the sequence is repeated on a larger degree and the self-similar fractal geometry continues to unfold. The completed motive pattern comprises 89 waves, followed by a completed corrective pattern of 55 waves. Each degree of a pattern in a financial market has a name. Practitioners use symbols for each wave to indicate both function and degree. Numbers are used for motive waves, and letters for corrective waves (shown in the highest of the three idealized series of wave structures or degrees). Degrees are not strictly defined by absolute size or duration, but by form. Waves of the same degree may be of very different size or duration. While exact time spans may vary, the customary order of degrees is reflected in the following sequence: * Grand supercycle: multi-century * Supercycle: multi-decade (about 40–70 years) * Cycle: one year to several years, or even several decades under an Elliott extension * Primary: a few months to two years * Intermediate: weeks to months * Minor: weeks * Minute: days * Minuette: hours * Subminuette: minutes Some analysts specify additional smaller and larger degrees.


Wave personality and characteristics

Elliott wave analysts (or ''Elliotticians'') hold that each individual wave has its own ''signature'' or characteristic, which typically reflects the psychology of the moment. Understanding those personalities is key to the application of the wave principle; they are defined below. (Definitions assume a bull market in equities; the characteristics apply in reverse in bear markets.)


Pattern recognition and fractals

Elliott's theory relies on analyzing price charts to identify wave patterns, which are fractal in nature, meaning they repeat across different timeframes, and discern what prices may do next; thus the application of the Wave Principle is a form of
pattern recognition Pattern recognition is the task of assigning a class to an observation based on patterns extracted from data. While similar, pattern recognition (PR) is not to be confused with pattern machines (PM) which may possess PR capabilities but their p ...
. The structures Elliott described meet the common definition of a
fractal In mathematics, a fractal is a Shape, geometric shape containing detailed structure at arbitrarily small scales, usually having a fractal dimension strictly exceeding the topological dimension. Many fractals appear similar at various scale ...
(
self-similar In mathematics, a self-similar object is exactly or approximately similar to a part of itself (i.e., the whole has the same shape as one or more of the parts). Many objects in the real world, such as coastlines, are statistically self-similar ...
patterns appearing at every degree of trend). Elliott wave practitioners argue that just as naturally occurring fractals often expand and grow more complex over time, the model shows that collective human psychology develops in natural patterns, via buying and selling decisions reflected in market prices: "It's as though we are somehow programmed by mathematics. Seashell, galaxy, snowflake or human: we're all bound by the same order." Critics, however, argue it is a form of
pareidolia Pareidolia (; ) is the tendency for perception to impose a meaningful interpretation on a nebulous stimulus (physiology), stimulus, usually visual, so that one detects an object, pattern, or meaning where there is none. Pareidolia is a specific bu ...
.


Wave rules and guidelines

A correct Elliott wave count must observe three rules: *Wave 2 never retraces more than 100% of wave 1. *Wave 3 cannot be the shortest of the three impulse waves, namely waves 1, 3 and 5. *Wave 4 never enters the price territory of wave 1 A common guideline called "alternation" observes that in a five-wave pattern, waves 2 and 4 often take alternate forms; a simple sharp move in wave 2, for example, suggests a complex mild move in wave 4. Alternation can occur in impulsive and corrective waves. Elliott observed that alternate waves of the same degree must be distinctive and unique in price, time, severity, and construction. All formations can guide influences on market action. The time period covered by each formation, however, is the major deciding factor in the full manifestation of the Rule of Alternation. A sharp counter-trend correction in wave 2 covers a short distance in horizontal units. This should produce a sideways counter-trend correction in wave 4, covering a longer distance in horizontal units, and vice versa. Alternation provides analysts a notice of what not to expect when analyzing wave formations. Corrective wave patterns unfold in forms known as zigzags, flats, or triangles. In turn these corrective patterns can come together to form more complex corrections. Similarly, a triangular corrective pattern is formed usually in wave 4, but very rarely in wave 2, and is the indication of the end of a correction.


Fibonacci relationships

R. N. Elliott's analysis of the mathematical properties of waves and patterns eventually led him to conclude that "The Fibonacci Summation Series is the basis of The Wave Principle". Numbers from the
Fibonacci sequence In mathematics, the Fibonacci sequence is a Integer sequence, sequence in which each element is the sum of the two elements that precede it. Numbers that are part of the Fibonacci sequence are known as Fibonacci numbers, commonly denoted . Many w ...
surface repeatedly in Elliott wave structures, including motive waves (1, 3, 5), a single full cycle (8 waves), and the completed motive (89 waves) and corrective (55 waves) patterns. Elliott developed his market model before he realized that it reflects the Fibonacci sequence. "When I discovered The Wave Principle action of market trends, I had never heard of either the Fibonacci Series or the Pythagorean Diagram". The Fibonacci sequence is also closely connected to 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 ...
(1.618). Practitioners commonly use this ratio and related ratios to establish support and resistance levels for market waves, namely the price points which help define the parameters of a trend. See
Fibonacci retracement In finance, Fibonacci retracement is a method of technical analysis for determining support and resistance levels. It is named after the Fibonacci sequence of numbers, whose ratios provide price levels to which markets tend to retrace a portio ...
. Finance professor
Roy Batchelor Roy A. Batchelor (born 23 March 1947) is Professor Emeritus in Political Economy and Statistics in Bayes Business School (formerly Cass) , City St George's, University of London. Educated at Allan Glen's School and Glasgow University, Roy w ...
and researcher Richard Ramyar, a former director of the United Kingdom Society of Technical Analysts and formerly Global Head of Research at Lipper and Thomson Reuters Wealth Management, studied whether Fibonacci ratios appear non-randomly in the stock market, as Elliott's model predicts. The researchers said the "idea that prices retrace to a Fibonacci ratio or round fraction of the previous trend clearly lacks any scientific rationale". They also said "there is no significant difference between the frequencies with which price and time ratios occur in cycles in the
Dow Jones Industrial Average The Dow Jones Industrial Average (DJIA), Dow Jones, or simply the Dow (), is a stock market index of 30 prominent companies listed on stock exchanges in the United States. The DJIA is one of the oldest and most commonly followed equity indice ...
, and frequencies which we would expect to occur at random in such a time series".


After Elliott

Following Elliott's death in 1948, other market technicians and financial professionals continued to use the wave principle and provide forecasts to investors. Charles Collins, who had published Elliott's "Wave Principle" and helped introduce Elliott's theory to
Wall Street Wall Street is a street in the Financial District, Manhattan, Financial District of Lower Manhattan in New York City. It runs eight city blocks between Broadway (Manhattan), Broadway in the west and South Street (Manhattan), South Str ...
, stated that Elliott's contributions to technical analysis were as significant as those 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 ...
. Hamilton Bolton, founder of The Bank Credit Analyst, espoused wave analysis to a wide readership in the 1950s and 1960s in his annual market commentaries and forecasts. Bolton introduced the wave principle to A. J. Frost (1908–1999), who provided weekly financial commentary on the Financial News Network in the 1980s. Over the course of his lifetime Frost's contributions to the field were of great significance and today the Canadian Society of Technical Analysts awards the A. J. Frost Memorial Award to someone each year who has also made a significant contribution to the field of technical analysis. Additional notable discoveries of new rules and new wave patterns were discovered after Ralph Nelson Elliott published his original work. Glenn Neely, who published ''Elliott Waves in Motion'' in 1988 and ''Mastering Elliott Wave'' in 1990, used Elliott wave theory to present the first scientific and objective approach to market forecasting. Around 1980, Neely devoted his career to Elliott wave research and a couple years later, applied what he learned by teaching the application of Elliott wave principle in real-time market analysis. Over time, Neely's teaching method evolved to include his own wave theory called Neowave (which is an extension of Elliott wave). The additional Neowave theory and rules help correct the contradictions created in Elliott wave theory which consists of different rules defining simple impulse patterns of the stock market waves. Under Neowave theory, the major new wave patterns discovered are: neutral triangle, diametric formation, symmetrical formation, extracting triangle, 3rd-extension terminal with 5th failure, and reverse alternation.


Adoption and use

Robert Prechter Robert R. Prechter Jr. (born March 25, 1949) is an American financial author, and stock market analyst, known for his financial forecasts using the Elliott Wave Principle. Prechter is an author and co-author of 14 books, and editor of 2 books, ...
found Elliott's work while employed as a market technician at
Merrill Lynch Merrill Lynch, Pierce, Fenner & Smith Incorporated, doing business as Merrill, and previously branded Merrill Lynch, is an American investment management and wealth management division of Bank of America. Along with BofA Securities, the investm ...
in the 1970s. His self-published market newsletter prominently featured his Elliott wave analysis during the bull market of the 1980s and giving his views exposure among followers of technical analysis.


Criticism

Benoit Mandelbrot Benoit B. Mandelbrot (20 November 1924 – 14 October 2010) was a Polish-born French-American mathematician and polymath with broad interests in the practical sciences, especially regarding what he labeled as "the art of roughness" of phy ...
, who developed mathematical models of market pricing based on
fractal geometry In mathematics, a fractal is a geometric shape containing detailed structure at arbitrarily small scales, usually having a fractal dimension strictly exceeding the topological dimension. Many fractals appear similar at various scales, as ...
, expressed caution about the validity of wave models: Critics warn that the wave principle is too vague to be useful, since practitioners cannot consistently identify the beginning or end of waves, resulting in forecasts prone to subjective revisions. Technical analyst David Aronson wrote:Aronson, David R. (2006)
''Evidence-Based Technical Analysis''
Hoboken, New Jersey: John Wiley and Sons, p. 61. .
Some analysts consider the Elliott wave principle as too dated to be applicable in today's markets, as explained by financial market analyst Glenn Neely, author of ''Mastering Elliott Wave'':


See also

*
Behavioral economics 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 ...
*
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 ...
*
Demarcation problem In philosophy of science and epistemology, the demarcation problem is the question of how to distinguish between science and non-science. It also examines the boundaries between science, pseudoscience and other products of human activity, like ...
* ''
The Wisdom of Crowds ''The Wisdom of Crowds: Why the Many Are Smarter Than the Few and How Collective Wisdom Shapes Business, Economies, Societies and Nations'', published in 2004, is a book written by James Surowiecki about the aggregation of information in groups ...
'' *
Kondratiev wave In economics, Kondratiev waves (also called supercycles, great surges, long waves, K-waves or the long economic cycle) are hypothesized cycle-like phenomena in the modern world economy. The phenomenon is closely connected with the technology l ...
*
Weierstrass function In mathematics, the Weierstrass function, named after its discoverer, Karl Weierstrass, is an example of a real-valued function (mathematics), function that is continuous function, continuous everywhere but Differentiable function, differentiab ...


References


Further reading

* ''Elliott Wave Principle: Key to Market Behavior'' by A.J. Frost & Robert R. Prechter Jr. Published by New Classics Library. *'' Mastering Elliott Wave: Presenting the Neely Method: The First Scientific, Objective Approach to Market Forecasting with Elliott Wave Theory'' by Glenn Neely with Eric Hall. Published by Windsor Books. * ''Applying Elliott Wave Theory Profitably'' by Steven W. Poser. Published by John Wiley & Sons, Ltd. * ''R.N. Elliott's Masterworks'' by R.N. Elliott, edited by Robert R. Prechter Jr. Published by New Classics Library. * ''Elliott Wave Principle Applied to the Foreign Exchange Markets'' by Robert Balan. Published by BBS Publications, Ltd. * ''Elliott Wave Explained'' by Robert C. Beckman. Published by Orient Paperbacks. * ''Harmonic Elliott Wave: The Case for Modification of R.N. Elliott's Impulsive Wave Structure'' by Ian Copsey, Published by John Wiley & Sons. {{Authority control Technical analysis Crowd psychology Economic theories Waves 1930s in economic history 1930s neologisms