# Eliott Wave Principle

The Elliott Wave Principle is a form of technical analysis that some 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.

## Overall design

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###### 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.

## Degree

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 lower most 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
• Cycle: one year to several years (or even several decades under an Elliott Extension)
• Primary: a few months to a couple of years
• Intermediate: weeks to months
• Minor: weeks
• Minute: days
• Minuette: hours
• Subminuette: minutes

## 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) Three wave pattern (corrective 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 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 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 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 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 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. 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).

## 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.”

## Elliott wave rules and guidelines

A correct Elliott wave “count” must observe three rules:

1. Wave 2 always retraces less than 100% of wave 1.
2. Wave 3 cannot be the shortest of the three impulse waves, namely waves 1, 3 and 5.
3. Wave 4 does not overlap with the price territory of wave 1, except in the rare case of a diagonal triangle.

A common guideline observes that in a five-wave pattern, waves 2 and 4 will often take alternate forms; a sharp move in wave 2, for example, will suggest a mild move in wave 4. 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.

## 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 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 Head of UK Asset Management Research at Reuters Lipper, 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”.

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:

###### From sakuragi_indofx, “Trading never been so easy eh,” December 2007.

The GBP/JPY currency chart gives an example of a fourth wave retracement apparently halting between the 38.2% and 50.0% Fibonacci retracements of a completed third wave. The chart also highlights how the Elliott Wave Principle works well with other technical analysis tendencies as prior support (the bottom of wave-1) acts as resistance to wave-4. The wave count depicted in the chart would be invalidated if GBP/JPY moves above the wave-1 low.