The Elliott Wave Principle is a form of technical analysis that traders use to analyze financial market cycles and forecast market trends by identifying extremes in investor psychology, highs and lows in prices, and other collective factors. Ralph Nelson Elliott (1871–1948), a professional accountant, discovered the underlying social principles and developed the 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.'  The empirical validity of the Elliott Wave Principle remains the subject of debate.
From R.N. Elliott's essay, 'The Basis of the Wave Principle,' October 1940.
The Elliott Wave Principle posits that collective investor psychology, or crowd psychology, moves between optimism and pessimism in natural sequences. These mood swings create patterns evidenced in the price movements of markets at every degree of trend or time scale.
In Elliott's model, market prices alternate between an impulsive, or motive phase, and a corrective phase on all time scales of trend, as the illustration shows. Impulses are always subdivided into a set of 5 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. Corrective waves subdivide into 3 smaller-degree waves starting with a five-wave counter-trend impulse, a retrace, and another impulse. In a bear market the dominant trend is downward, so the pattern is reversed—five waves down and three up. Motive waves always move with the trend, while corrective waves move against it.
The patterns link to form five and three-wave structures which themselves underlie self-similar wave structures of increasing size or higher degree. Note the lowermost of the three idealized cycles. In the first small five-wave sequence, waves 1, 3 and 5 are motive, while waves 2 and 4 are corrective. This signals that the movement of the wave one degree higher is upward. It also signals the start of the first small three-wave corrective sequence. After the initial five waves up and three waves down, the sequence begins again and the self-similar fractal geometry begins to unfold according to the five and three-wave structure which it underlies one degree higher. The completed motive pattern includes 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 for motive waves, letters for corrective waves (shown in the highest of the three idealized series of wave structures or degrees). Degrees are relative; they are defined by form, not by absolute size or duration. Waves of the same degree may be of very different size and/or duration.
The classification of a wave at any particular degree can vary, though practitioners generally agree on the standard order of degrees (approximate durations given):
Grand supercycle: multi-century
Elliott 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.)
Five wave pattern (dominant trend)
Wave 1: Wave one is rarely obvious at its inception. When the first wave of a new bull market begins, the fundamental news is almost universally negative. The previous trend is considered still strongly in force. Fundamental analysts continue to revise their earnings estimates lower; the economy probably does not look strong. Sentiment surveys are decidedly bearish, put options are in vogue, and implied volatility in the options market is high. Volume might increase a bit as prices rise, but not by enough to alert many technical analysts.
Wave 2: Wave two corrects wave one, but can never extend beyond the starting point of wave one. Typically, the news is still bad. As prices retest the prior low, bearish sentiment quickly builds, and 'the crowd' haughtily reminds all that the bear market is still deeply ensconced. Still, some positive signs appear for those who are looking: volume should be lower during wave two than during wave one, prices usually do not retrace more than 61.8% (see Fibonacci section below) of the wave one gains, and prices should fall in a three wave pattern.
Wave 3: Wave three is usually the largest and most powerful wave in a trend (although some research suggests that in commodity markets, wave five is the largest). The news is now positive and fundamental analysts start to raise earnings estimates. Prices rise quickly, corrections are short-lived and shallow. Anyone looking to 'get in on a pullback' will likely miss the boat. As wave three starts, the news is probably still bearish, and most market players remain negative; but by wave three's midpoint, 'the crowd' will often join the new bullish trend. Wave three often extends wave one by a ratio of 1.618:1.
Wave 4: Wave four is typically clearly corrective. Prices may meander sideways for an extended period, and wave four typically retraces less than 38.2% of wave three (see Fibonacci relationships below). Volume is well below than that of wave three. This is a good place to buy a pull back if you understand the potential ahead for wave 5. Still, fourth waves are often frustrating because of their lack of progress in the larger trend.
Wave 5: Wave five is the final leg in the direction of the dominant trend. The news is almost universally positive and everyone is bullish. Unfortunately, this is when many average investors finally buy in, right before the top. Volume is often lower in wave five than in wave three, and many momentum indicators start to show divergences (prices reach a new high but the indicators do not reach a new peak). At the end of a major bull market, bears may very well be ridiculed (recall how forecasts for a top in the stock market during 2000 were received).
Three wave pattern (corrective trend)
Wave A: Corrections are typically harder to identify than impulse moves. In wave A of a bear market, the fundamental news is usually still positive. Most analysts see the drop as a correction in a still-active bull market. Some technical indicators that accompany wave A include increased volume, rising implied volatility in the options markets and possibly a turn higher in open interest in related futures markets.
Wave B: Prices reverse higher, which many see as a resumption of the now long-gone bull market. Those familiar with classical technical analysis may see the peak as the right shoulder of a head and shoulders reversal pattern. The volume during wave B should be lower than in wave A. By this point, fundamentals are probably no longer improving, but they most likely have not yet turned negative.
Wave C: Prices move impulsively lower in five waves. Volume picks up, and by the third leg of wave C, almost everyone realizes that a bear market is firmly entrenched. Wave C is typically at least as large as wave A and often extends to 1.618 times wave A or beyond.
Pattern recognition and fractals
Elliott's market model relies heavily on looking at price charts. Practitioners study developing trends to distinguish the waves and wave structures, and discern what prices may do next; thus the application of the Wave Principle is a form of pattern recognition.
The structures Elliott described also meet the common definition of a fractal (self-similar patterns appearing at every degree of trend). Elliott wave practitioners say 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 say it is a form of pareidolia.
Elliott wave rules and guidelines
Wave 2 never retraces more than 100% of wave 1.
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 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 (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.
Finance professor Roy Batchelor 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, and frequencies which we would expect to occur at random in such a time series'.
Robert Prechter replied to the Batchelor–Ramyar study, saying that it 'does not challenge the validity of any aspect of the Wave Principle...it supports wave theorists' observations,' and that because the authors had examined ratios between prices achieved in filtered trends rather than Elliott waves, 'their method does not address actual claims by wave theorists'. The Socionomics Institute also reviewed data in the Batchelor–Ramyar study, and said these data show 'Fibonacci ratios do occur more often in the stock market than would be expected in a random environment'.
Extracted from the same relationship between Elliott Waves and Fibonacci ratio, a 78.6% retracement level is identified as a best place for buying or selling (in continuation to the larger trend) as it increases the risk to reward ratio up to 1:3.
It has been suggested that Fibonacci relationships are not the only irrational number based relationships evident in waves.
Example of the Elliott Wave Principle and the Fibonacci relationship
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, ranked Elliott's contributions to technical analysis on a level with Charles Dow.
Hamilton Bolton, founder of The Bank Credit Analyst, also known as BCA Research Inc., provided wave analysis to a wide readership in the 1950s and 1960s through a number of annual supplements of market commentary. He also authored the book 'The Elliott Wave Principle of Stock Market Behavior'.
Bolton introduced the Elliott 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.
The first A.J. Frost Memorial Award was awarded to Robert Prechter in 1999, with whom Frost co-authored Elliott Wave Principle in 1978.
Rediscovery and current use
Robert Prechter came across Elliott's works while working as a market technician at Merrill Lynch. His prominence as a forecaster during the bull market of the 1980s brought the greatest exposure to date to Elliott's work, and today Prechter remains the most widely known Elliott analyst.
Who is Robert Prechter? - http://www.elliottwave.com/introduction/robert_bob_prechter.aspx?code=WPMS&articleid=0
Among market technicians, wave analysis is widely accepted as a component of their trade. The Elliott Wave Principle is among the methods included on the exam that analysts must pass to earn the Chartered Market Technician (CMT) designation, the professional accreditation developed by the Market Technicians Association (MTA).
Chartered Market Technician (CMT) - https://www.mta.org/cmt/chartered-market-technician/
Robin Wilkin, Ex-Global Head of FX and Commodity Technical Strategy at JPMorgan Chase, says 'the Elliott Wave Principle ... provides a probability framework as to when to enter a particular market and where to get out, whether for a profit or a loss.'
Jordan Kotick, Global Head of Technical Strategy at Barclays Capital and past President of the Market Technicians Association, has said that R. N. Elliott's 'discovery was well ahead of its time. In fact, over the last decade or two, many prominent academics have embraced Elliott’s idea and have been aggressively advocating the existence of financial market fractals.'
One such academic is the physicist Didier Sornette, professor at ETH Zurich. In a paper he co-authored in 1996 ('Stock Market Crashes, Precursors and Replicas') Sornette said,
It is intriguing that the log-periodic structures documented here bear some similarity with the 'Elliott waves' of technical analysis ... A lot of effort has been developed in finance both by academic and trading institutions and more recently by physicists (using some of their statistical tools developed to deal with complex times series) to analyze past data to get information on the future. The 'Elliott wave' technique is probably the most famous in this field. We speculate that the 'Elliott waves', so strongly rooted in the financial analysts’ folklore, could be a signature of an underlying critical structure of the stock market.
Paul Tudor Jones, the billionaire commodity trader, calls Prechter and Frost's standard text on Elliott 'a classic,' and one of 'the four Bibles of the business':
[Magee and Edwards'] Technical Analysis of Stock Trends and The Elliott Wave Theorist both give very specific and systematic ways to approach developing great reward/risk ratios for entering into a business contract with the marketplace, which is what every trade should be if properly and thoughtfully executed.
Glenn Neely, financial market analyst and author of the book Mastering Elliott Wave, studied the Elliott Wave Principle for years and used it to develop his own forecasting method by expanding on the concepts Elliott created in the 1930s.