Historical and Mathematical Background of the Wave Principle

 

Historical and Mathematical Background of the Wave Principle

The Fibonacci (pronounced fib-eh-nah´-chee) sequence of numbers was discovered (actually rediscovered) by Leonardo Fibonacci da Pisa, a thirteenth century mathematician. We will outline the historical background of this amazing man and then discuss more fully the sequence (technically it is a sequence and not a series) of numbers that bears his name. When Elliott wrote Nature’s Law, he explained that the Fibonacci sequence provides the mathematical basis of the Wave Principle. (For a further discussion of the mathematics behind the Wave Principle, see "Mathematical Basis of Wave Theory," by Walter E. White, in a forthcoming book from New Classics Library.)

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Leonardo Fibonacci da Pisa

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The Dark Ages were a period of almost total cultural eclipse in Europe. They lasted from the fall of Rome in 476 A.D. until around 1000 A.D. During this period, mathematics and philosophy waned in Europe but flowered in India and Arabia since the Dark Ages did not extend to the East. As Europe gradually began to emerge from its stagnant state, the Mediterranean Sea developed into a river of culture that directed the flow of commerce, mathematics and new ideas from India and Arabia.

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During the Middle Ages, Pisa became a strongly walled city-state and a flourishing commercial center whose waterfront reflected the Commercial Revolution of that day. Leather, furs, cotton, wool, iron, copper, tin and spices were traded within the walls of Pisa, with gold serving as an important currency. The port was filled with ships ranging up to four hundred tons and eighty feet in length. The Pisan economy supported leather and shipbuilding industries and an iron works. Pisan politics were well constructed even according to today’s standards. The Chief Magistrate of the Republic, for instance, was not paid for his services until after his term of office had expired, at which time his administration could be investigated to determine if he had earned his salary. In fact, our man Fibonacci was one of the examiners.

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Born between 1170 and 1180, Leonardo Fibonacci, the son of a prominent merchant and city official, probably lived in one of Pisa’s many towers. A tower served as a workshop, fortress and family residence and was constructed so that arrows could be shot from the narrow windows and boiling tar poured on strangers who approached with aggressive intent. During Fibonacci’s lifetime, the bell tower known as the Leaning Tower of Pisa was under construction. It was the last of the three great edifices to be built in Pisa, as the cathedral and the baptistery had been completed some years earlier.

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As a schoolboy, Leonardo became familiar with customs houses and commercial practices of the day, including the operation of the abacus, which was widely used in Europe as a calculator for business purposes. Although his native tongue was Italian, he learned several other languages, including French, Greek and even Latin, in which he was fluent.

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Soon after Leonardo’s father was appointed a customs official at Bogia in North Africa, he instructed Leonardo to join him in order to complete his education. Leonardo began making many business trips around the Mediterranean. After one of his trips to Egypt, he published his famous Liber Abaci (Book of Calculation) which introduced to Europe one of the greatest mathematical discoveries of all time, namely the decimal system, including the positioning of zero as the first digit in the notation of the number scale. This system, which included the familiar symbols 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9, became known as the Hindu-Arabic system, which is now universally used.

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Under a true digital or place-value system, the actual value represented by any symbol placed in a row along with other symbols depends not only on its basic numerical value but also on its position in the row, i.e., 58 has a different value from 85. Though thousands of years earlier the Babylonians and Mayas of Central America separately had developed digital or place-value systems of numeration, their methods were awkward in other respects. For this reason, the Babylonian system, which was the first to use zero and place values, was never carried forward into the mathematical systems of Greece, or even Rome, whose numeration comprised the seven symbols I, V, X, L, C, D, and M, with non-digital values assigned to those symbols. Addition, subtraction, multiplication and division in a system using these non-digital symbols is not an easy task, especially when large numbers are involved. Paradoxically, to overcome this problem, the Romans used the very ancient digital device known as the abacus. Because this instrument is digitally based and contains the zero principle, it functioned as a necessary supplement to the Roman computational system. Throughout the ages, bookkeepers and merchants depended on it to assist them in the mechanics of their tasks. Fibonacci, after expressing the basic principle of the abacus in Liber Abaci, started to use his new system during his travels.

 

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Through his efforts, the new system, with its easy method of calculation, was eventually transmitted to Europe. Gradually Roman numerals were replaced by the Arabic numeral system. The introduction of the new system to Europe was the first important achievement in the field of mathematics since the fall of Rome over seven hundred years before. Fibonacci not only kept mathematics alive during the Middle Ages, but laid the foundation for great developments in the field of higher mathematics and the related fields of physics, astronomy and engineering.

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Although the world later almost lost sight of Fibonacci, he was unquestionably a man of his time. His fame was such that Frederick II, a scientist and scholar in his own right, sought him out by arranging a visit to Pisa. Frederick II was Emperor of the Holy Roman Empire, the King of Sicily and Jerusalem, scion of two of the noblest families in Europe and Sicily, and the most powerful prince of his day. His ideas were those of an absolute monarch, and he surrounded himself with all the pomp of a Roman emperor.

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 The meeting between Fibonacci and Frederick II took place in 1225 A.D. and was an event of great importance to the town of Pisa. The Emperor rode at the head of a long procession of trumpeters, courtiers, knights, officials and a menagerie of animals. Some of the problems the Emperor placed before the famous mathematician are detailed in Liber Abaci. Fibonacci apparently solved the problems posed by the Emperor and forever more was welcome at the king’s court. When Fibonacci revised Liber Abaci in 1228 A.D., he dedicated the revised edition to Frederick II.

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 It is almost an understatement to say that Leonardo Fibonacci was the greatest mathematician of the Middle Ages. In all, he wrote three major mathematical works: the Liber Abaci, published in 1202 and revised in 1228, Practica Geometriae, published in 1220, and Liber Quadratorum. The admiring citizens of Pisa documented in 1240 A.D. that he was "a discreet and learned man," and very recently Joseph Gies, a senior editor of the Encyclopedia Britannica, stated that future scholars will in time "give Leonard of Pisa his due as one of the world’s great intellectual pioneers." His works, after all these years, are only now being translated from Latin into English. For those interested, the book entitled Leonard of Pisa and the New Mathematics of the Middle Ages, by Joseph and Frances Gies, is an excellent treatise on the age of Fibonacci and his works.

Although he was the greatest mathematician of medieval times, Fibonacci’s only monuments are a statue across the Arno River from the Leaning Tower and two streets that bear his name, one in Pisa and the other in Florence. It seems strange that so few visitors to the 179-foot marble Tower of Pisa have ever heard of Fibonacci or seen his statue. Fibonacci was a contemporary of Bonanna, the architect of the Tower, who started building in 1174 A.D. Both men made contributions to the world, but the one whose influence far exceeds the other’s is almost unknown.

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23 Wave Personality

23  Wave Personality

The idea of wave personality is a substantial expansion of the Wave Principle. It has the advantage of bringing human behavior more personally into the equation.

free forex signals and The personality of each wave in the Elliott sequence is an integral part of the reflection of the mass psychology it embodies. The progression of mass emotions from pessimism to optimism and back again tends to follow a similar path each time around, producing similar circumstances at corresponding points in the wave structure. As the Wave Principle indicates, market history repeats but not exactly. Every wave has siblings (same-directional waves of the same degree within a larger wave) and cousins (samedegree and same-numbered waves within different larger waves) but no wave has a twin. Related waves — particularly cousins — have similar market and social characteristics. The personality of each wave type is manifest whether the wave is of Grand Supercycle degree or Subminuette. Waves’ properties not only forewarn what to expect in the next sequence but at times can help determine the market’s present location in the progression of waves, when for other reasons the count is unclear or open to differing interpretations. As waves are in the process of unfolding, there are times when several different wave counts are perfectly admissible under all known Elliott rules. It is at these junctures that a knowledge of wave personality can be invaluable. Recognizing the character of a single wave can often allow you to interpret correctly the complexities of the larger pattern. The following discussions relate to an underlying bull market picture, as illustrated in Figures 2-14 and 2-15. These observations apply in reverse when the actionary waves are downward and the reactionary waves are upward.

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1) First waves — As a rough estimate, about half of first waves are part of the "basing" process and thus tend to be heavily corrected by wave two. In contrast to the bear market rallies within the previous decline, however, this first wave rise is technically more constructive, often displaying a subtle increase in

Figure 2-14

volume and breadth. Plenty of short selling is in evidence as the majority has finally become convinced that the overall trend is down. Investors have finally gotten "one more rally to sell on," and they take advantage of it. The other fifty percent of first waves rise from either large bases formed by the previous correction, as in 1949, from downside failures, as in 1962, or from extreme compression, as in both 1962 and 1974. From such beginnings, first waves are dynamic and only moderately retraced.

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2) Second waves — Second waves often retrace so much of wave one that most of the profits gained up to that time are eroded away by the time it ends. This is especially true of call option purchases, as premiums sink drastically in the environment of 79 fear during second waves. At this point, investors are thoroughly convinced that the bear market is back to stay. Second waves often end on very low volume and volatility, indicating a drying up of selling pressure.

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3) Third waves — Third waves are wonders to behold. They are strong and broad, and the trend at this point is unmistakable. Increasingly favorable fundamentals enter the picture as confidence returns. Third waves usually generate the greatest volume and price movement and are most often the extended wave in a series. It follows, of course, that the third wave of a third wave, and so on, will be the most volatile point of strength in any wave sequence. Such points invariably produce breakouts, "continuation" gaps, volume expansions, exceptional breadth, major Dow Theory trend confirmations and runaway price movement, creating large hourly, daily, weekly, monthly or yearly gains in the market, depending on the degree of the wave. Virtually all stocks participate in third waves. Besides the personality of B waves, that of third waves produces the most valuable clues to the wave count as it unfolds.

4) Fourth waves — Fourth waves are predictable in both depth (see page 66) and form, because by alternation they should differ from the previous second wave of the same degree. More often than not they trend sideways, building the base for the final fifth wave move. Lagging stocks build their tops and begin declining during this wave, since only the strength of a third wave was able to generate any motion in them in the first place. This initial deterioration in the market sets the stage for non-confirmations and subtle signs of weakness during the fifth wave.

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 5) Fifth waves — Fifth waves in stocks are always less dynamic than third waves in terms of breadth. They usually display a slower maximum speed of price change as well, although if a fifth wave is an extension, speed of price change in the third of the fifth can exceed that of the third wave. Similarly, while it is common for volume to increase through successive impulse waves at Cycle degree or larger, it usually happens in a fifth wave below Primary degree only if the fifth wave extends. Otherwise, look for lesser volume as a rule in a fifth wave as opposed to the third. Market dabblers sometimes call for "blowoffs" at the end of long trends, but the stock market has no history of reaching maximum acceleration at a peak. Even if a fifth wave extends, the fifth of the fifth will lack the dynamism that preceded it. During advancing fifth waves, optimism runs extremely high despite a narrowing of breadth. Nevertheless, market action does improve relative to prior corrective wave rallies. For example, the year-end rally in 1976 was unexciting in the Dow, but it was nevertheless a motive wave as opposed to the preceding corrective wave advances in April, July and September, which, by contrast, had even less influence on the secondary indexes and the cumulative advance-decline line. As a monument to the optimism that fifth waves can produce, the advisory services polled two weeks after the conclusion of that rally turned in the lowest percentage of "bears," 4.5%, in the history of the recorded figures despite that fifth wave’s failure to make a new high!

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6) A waves — During the A wave of a bear market, the investment world is generally convinced that this reaction is just a pullback pursuant to the next leg of advance. The public surges to the buy side despite the first really technically damaging cracks in individual stock patterns. The A wave sets the tone for the B wave to follow. A five-wave A indicates a zigzag for wave B, while a three-wave A indicates a flat or triangle.

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7) B waves — B waves are phonies. They are sucker plays, bull traps, speculators’ paradise, orgies of odd-lotter mentality or expressions of dumb institutional complacency (or both). They often involve a focus on a narrow list of stocks, are often "unconfirmed" (see Dow Theory discussion in Chapter 7) by other averages, are rarely technically strong, and are virtually always doomed to complete retracement by wave C. If the analyst can easily say to himself, "There is something wrong with this market," chances are it’s a B wave. X waves and D waves in expanding triangles, both of which are corrective wave advances, have the same characteristics. Several examples will suffice to illustrate the point.

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28 Elliott Wave Principle and Combination (Double and Triple Three)

 

28  Elliott Wave Principle and Combination (Double and Triple Three)

 

free forex signals Elliott called a sideways combination of two corrective patterns a "double three" and three patterns a "triple three." While a single three is any zigzag or flat, a triangle is an allowable final component of such combinations and in this context is called a "three." A combination is composed of simpler types of corrections, including zigzags, flats and triangles. Their occurrence appears to be the flat correction’s way of extending sideways action. As with double and triple zigzags, the simple corrective pattern components are labeled W, Y and Z. Each reactionary wave, labeled X, can take the shape of any corrective pattern but is most commonly a zigzag. As with multiple zigzags, three patterns appear to be the limit, and even those are rare compared to the more common double three.

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Combinations of threes were labeled differently by Elliott at different times, although the illustrative pattern always took the shape of two or three juxtaposed flats, as shown in Figures 1-45 and 1-46. However, the component patterns more commonly alternate in form. For example, a flat followed by a triangle is a more typical type of double three (which we now know as of 1983; see Appendix), as illustrated in Figure 1-47.

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A flat followed by a zigzag is another example, as shown in Figure 1-48. Naturally, since the figures in this section depict corrections in bull markets, they need only be inverted to observe them as upward corrections in bear markets.

Figure 1-47

Figure 1-48

For the most part, a combination is horizontal in character. Elliott indicated that the entire formation could slant against the larger trend, although we have never found this to be the case. One reason is that there never appears to be more than one zigzag in a combination. Neither is there more than one triangle. Recall that triangles occurring alone precede the final movement of a larger trend. Combinations appear to recognize this character and sport triangles only as the final wave in a double or triple three.

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Although different in that their angle of trend is sharper than the sideways trend of combinations (see the guideline of alternation in Chapter 2), double and triple zigzags (see Figure 1-26) can be characterized as non-horizontal combinations, as Elliott seemed to suggest in Nature’s Law. But double and triple threes are different from double and triple zigzags not only in their angle but in their goal. In a double or triple zigzag, the first zigzag is rarely large enough to constitute an adequate price correction of the preceding wave. The doubling or tripling of the initial form is usually necessary to create an adequately sized price retracement. In a combination, however, the first simple pattern often constitutes an adequate price correction. The doubling or tripling appears to occur mainly to extend the duration of the corrective process after price targets have been substantially met. Sometimes additional time is needed to reach a channel line or achieve a stronger kinship with the other correction in an impulse. As the consolidation continues, the attendant psychology and fundamentals extend their trends accordingly.

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As this section makes clear, there is a qualitative difference between the series 3 + 4 + 4 + 4, etc., and the series 5 + 4 + 4 + 4, etc. Notice that while an impulse wave has a total count of 5, with extensions leading to 9 or 13 waves, and so on, a corrective wave has a count of 3, with combinations leading to 7 or 11 waves, and so on. The triangle appears to be an exception, although it can be counted as one would a triple three, totaling 11 waves. Thus, if an internal count is unclear, you can sometimes reach a reasonable conclusion merely by counting waves. A count of 9, 13 or 17 with few overlaps, for instance, is likely motive, while a count of 7, 11 or 15 with numerous overlaps is likely corrective. The main exceptions are diagonals of both types, which are hybrids of motive and corrective forces.

Orthodox Tops and Bottoms

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Sometimes a pattern’s end differs from the associated price extreme. In such cases, the end of the pattern is called the "orthodox" top or bottom in order to differentiate it from the actual price high or low that occurs intra-pattern or after the end of the pattern. For example, in Figure 1-14, the end of wave (5) is the orthodox top despite the fact that wave (3) registered a higher price. In Figure 1-13, the end of wave 5 is the orthodox bottom. In Figures 1-33 and 1-34, the starting point of wave A is the orthodox top of the preceding bull market despite the higher high of wave B. In Figures 1-35 and 1-36, the start of wave A is the orthodox bottom. In Figure 1-47, the end of wave Y is the orthodox bottom of the bear market even though the price low occurs at the end of wave W.

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This concept is important primarily because a successful analysis always depends upon a proper labeling of the patterns. Assuming falsely that a particular price extreme is the correct starting point for wave labeling can throw analysis off for some time, while being aware of the requirements of wave form will keep you on track. Further, when applying the forecasting concepts that will be introduced in Chapter 4, the length and duration of a wave are typically determined by measuring from and projecting orthodox ending points.

Reconciling Funtion and Mode

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Earlier in this chapter, we described the two functions waves may perform (action and reaction), as well as the two modes of structural development (motive and corrective) that they undergo. Now that we have reviewed all types of waves, we can summarize their labels as follows:

— The labels for actionary waves are 1, 3, 5, A, C, E, W, Y and Z.

— The labels for reactionary waves are 2, 4, B, D and X.

As stated earlier, all reactionary waves develop in corrective mode, and most actionary waves develop in motive mode. The preceding sections have described which actionary waves develop in corrective mode. They are:

— waves 1, 3 and 5 in an ending diagonal,

— wave A in a flat correction,

— waves A, C and E in a triangle,

— waves W and Y in a double zigzag and a double three,

— wave Z in a triple zigzag and a triple three.

Because the waves listed above are actionary in relative direction yet develop in corrective mode, we term them "actionary corrective" waves.

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Elliott Wave and Diagonal

Elliott Wave and Diagonal

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A diagonal is a motive pattern yet not an impulse, as it has two corrective characteristics. As with an impulse, no reactionary subwave fully retraces the preceding actionary subwave, and the third subwave is never the shortest. However, a diagonal is the only five-wave structure in the direction of the main trend within which wave four almost always moves into the price territory of (i.e., overlaps) wave one and within which all the waves are "threes," producing an overall count of 3-3-3-3-3. On rare occasions, a diagonal may end in a truncation, although in our experience such truncations occur only by the slimmest of margins. This pattern substitutes for an impulse at two specific locations in the wave structure.

Ending Diagonal

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An ending diagonal occurs primarily in the fifth wave position at times when the preceding move has gone "too far too fast," as Elliott put it. A very small percentage of diagonals appear in the C-wave position of A-B-C formations. In double or triple threes (see next section), they appear only as the final C wave. In all cases, they are found at the termination points of larger patterns, indicating exhaustion of the larger movement.

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A contracting diagonal takes a wedge shape within two converging lines. This most common form for an ending diagonal is illustrated in Figures 1-15 and 1-16 and shown in its typical position within a larger impulse wave.

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We have found one case in which an ending diagonal’s boundary lines diverged, creating an expanding diagonal rather than a contracting one. However, it is unsatisfying analytically in that its third wave was the shortest actionary wave.

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Ending diagonals have occurred recently in Minor degree as in early 1978, in Minute degree as in February-March 1976, and in Subminuette degree as in June 1976. Figures 1-17 and 1-18 show two of these periods, illustrating one upward and one downward "real life" formation. Figure 1-19 shows our real-life possible expanding diagonal. Notice that in each case, an important change of direction followed.

Although not so illustrated in Figures 1-15 and 1-16, the fifth wave of an ending diagonal often ends in a "throw-over," i.e., a brief break of the trendline connecting the end points of waves one and three. The real-life examples in Figures 1-17 and 1-19 show throw-overs. While volume tends to diminish as a diagonal of small degree progresses, the pattern always ends with a spike of relatively high volume when a throw-over occurs. On rare occasions, the fifth subwave falls short of its resistance trendline.

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A rising ending diagonal is usually followed by a sharp decline retracing at least back to the level where it began and typically much further. A falling ending diagonal by the same token usually gives rise to an upward thrust.

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Fifth wave extensions, truncated fifths and ending diagonals all imply the same thing: dramatic reversal ahead. At some turning points, two of these phenomena have occurred together at different degrees, compounding the violence of the next move in the opposite direction.

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Leading Diagonal

It has recently come to light that a diagonal occasionally appears in the wave 1 position of impulses and in the wave A position of zigzags. In the few examples we have, the subdivisions appear to be the same: 3-3-3-3-3, although in two cases, they can be labeled 5-3-5-3-5, so the jury is out on a strict definition. Analysts must be aware of this pattern to avoid mistaking it for a far more common development, a series of first and second waves, as illustrated in Figure 1-8. A leading diagonal in the wave one position is typically followed by a deep retracement

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Figure 1-20 shows a real-life leading diagonal. We have recently observed that a leading diagonal can also take an expanding shape. This form appears to occur primarily at the start of declines in the stock market (see Figure 1-21). These patterns were not originally discovered by R.N. Elliott but have appeared enough times and over a long enough period that the authors are convinced of their validity.

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Corrective Waves

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Markets move against the trend of one greater degree only with a seeming struggle. Resistance from the larger trend appears to prevent a correction from developing a full motive structure. This struggle between the two oppositely-trending degrees generally makes corrective waves less clearly identifiable than motive waves, which always flow with comparative ease in the direction of the one larger trend. As another result of this conflict between trends, corrective waves are quite a bit more varied than motive waves. Further, they occasionally increase or decrease in complexity as they unfold so that what are technically subwaves of the same degree can by their complexity or time length appear to be of different degree (see Figures 2-4 and 2-5). For all these reasons, it can be difficult at times to fit corrective waves into recognizable patterns until they are completed and behind us. As the terminations of corrective waves are less predictable than those for motive waves, you must exercise more patience and flexibility in your analysis when the market is in a meandering corrective mood than when prices are in a persistent motive trend.

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The single most important rule that can be gleaned from a study of the various corrective patterns is that corrections are never fives. Only motive waves are fives. For this reason, an initial five-wave movement against the larger trend is never the end of a correction, only part of it. The figures in this section should serve to illustrate this point.

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Corrective processes come in two styles. Sharp corrections angle steeply against the larger trend. Sideways corrections, while always producing a net retracement of the preceding wave, typically contain a movement that carries back to or beyond its starting level, thus producing an overall sideways appearance. The discussion of the guideline of alternation in Chapter 2 explains the reason for noting these two styles.

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Specific corrective patterns fall into three main categories: Zigzag (5-3-5; includes three types: single, double and triple);

Flat (3-3-5; includes three types: regular, expanded and running);

Triangle (3-3-3-3-3; three types: contracting, barrier and expanding; and one variation: running).

A combination of the above forms comes in two types: double three and triple three.

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Elliott Wave Principle and Basic Tenets

Elliott Wave Principle and Basic Tenets

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The Wave Principle is governed by man’s social nature, and since he has such a nature, its expression generates forms. As the forms are repetitive, they have predictive value.

 

Sometimes the market appears to reflect outside conditions and events, but at other times it is entirely detached from what most people assume are causal conditions. The reason is that the market has a law of its own. It is not propelled by the external causality to which one becomes accustomed in the everyday experiences of life. The path of prices is not a product of news. Nor is the market the cyclically rhythmic machine that some declare it to be. Its movement reflects a repetition of forms that is independent both of presumed causal events and of periodicity.

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The market’s progression unfolds in waves. Waves are patterns of directional movement. More specifically, a wave is any one of the patterns that naturally occur, as described in the rest of this chapter.

 

The Five Wave Pattern

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In markets, progress ultimately takes the form of five waves of a specific structure. Three of these waves, which are labeled 1, 3 and 5, actually effect the directional movement. They are separated by two countertrend interruptions, which are labeled 2 and 4, as shown in Figure 1-1. The two interruptions are apparently a requisite for overall directional movement to occur.

 

Elliott noted three consistent aspects of the five-wave form. They are: Wave 2 never moves beyond the start of wave 1; wave 3 is never the shortest wave; wave 4 never enters the price territory of wave 1.

 

R.N. Elliott did not specifically say that there is only one overriding form, the “five-wave” pattern, but that is undeniably the case. At any time, the market may be identified as being somewhere in the basic five-wave pattern at the largest degree of trend. Because the five-wave pattern is the overriding form of market progress, all other patterns are subsumed by it.

1.3 Wave Mode

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There are two modes of wave development: motive and corrective. Motive waves have a five-wave structure, while corrective waves have a three-wave structure or a variation thereof. Motive mode is employed by both the five-wave pattern of Figure 1-1 and its same-directional components, i.e., waves 1, 3 and 5. Their structures are called “motive” because they powerfully impel the market. Corrective mode is employed by all countertrend interruptions, which include waves 2 and 4 in Figure 1-1. Their structures are called “corrective” because each one appears as a response to the preceding motive wave yet accomplishes only a partial retracement, or “correction,” of the progress it achieved. Thus, the two modes are fundamentally different, both in their roles and in their construction, as will be detailed throughout this chapter.

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Figure 1-1

The Complete Cycle

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One complete cycle consisting of eight waves, then, is made up of two distinct phases, the five-wave motive phase (also called a “five”), whose subwaves are denoted by numbers, and the threewave corrective phase (also called a “three”), whose subwaves are denoted by letters. Just as wave 2 corrects wave 1 in Figure 1-1, the sequence A, B, C corrects the sequence 1, 2, 3, 4, 5 in Figure 1-2.

Figure 1-2

Compound Construction

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When an initial eight-wave cycle such as shown in Figure 1-2 ends, a similar cycle ensues, which is then followed by another five-wave movement. This entire development produces a fivewave pattern of one degree (i.e., relative size) larger than the waves of which it is composed. The result is shown in Figure 1-3 up to the peak labeled (5). This five-wave pattern of larger degree is then corrected by a three-wave pattern of the same degree, completing a larger full cycle, depicted as Figure 1-3.

As Figure 1-3 illustrates, each same-direction component of a motive wave (i.e., wave 1, 3 and 5), and each full-cycle component (i.e., waves 1 + 2, or waves 3 + 4)of a cycle, is a smaller version of itself.

It is neccessary to understand a crucial point: Figure 1-3 not only illustrates a larger version of Figure 1-2, it also illustrates Figure 1-2 itself, in greater detail. In Figure 1-2, each subwave 1, 3 and 5 is a motive wave that must subdivide into a "five," and each subwave 2 and 4 is a corrective wave that must subdivide into a "three." Waves (1) and (2) in Figure 1-3, if examined under a "microscope," would take the same form as waves â‘  and â‘¡. Regardless of degree, the form is constant. We can use Figure 1-3 to illustrate two waves, eight waves or thirty-four waves, depending upon the degree to which we are referring.

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Figure 1-3

 

 

The Broad Concept - Elliott Wave Principle

The Broad Concept - Elliott Wave Principle

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In The Elliott Wave Principle — A Critical Appraisal, A. Hamilton Bolton made this opening statement:

As we have advanced through some of the most unpredictable economic climate imaginable, covering depression, major war, and postwar reconstruction and boom, I have noted how well Elliott’s Wave Principle has fitted into the facts of life as they have developed, and have accordingly gained more confidence that this Principle has a good quotient of basic value.

In the 1930s, Ralph Nelson Elliott discovered that stock market prices trend and reverse in recognizable patterns. The patterns he discerned are repetitive in form but not necessarily in time or amplitude. Elliott isolated five such patterns, or "waves," that recur in market price data. He named, defined and illustrated these patterns and their variations. He then described how they link together to form larger versions of themselves, how they in turn link to form the same patterns of the next larger size, and so on, producing a structured progression. He called this phenomenon The Wave Principle.

Although it is the best Forex Signals tool in existence, the Wave Principle is not primarily a Forex Signals tool; it is a detailed description of how markets behave. Nevertheless, that description does impart an immense amount of knowledge about the market’s position within the behavioral continuum and therefore about its probable ensuing path. The primary value of the Wave Principle is that it provides a context for market analysis and FREE Forex Signals . This context provides both a basis for disciplined thinking and a perspective on the market’s general position and outlook. At times, its accuracy in identifying, and even anticipating, changes in direction is almost unbelievable. Many areas of mass human activity display the Wave Principle, but it is most popularly used in the stock market. Truly, however, the stock market is far more significant to the human condition than it appears to casual observers and even to those who make their living by it. The level of aggregate stock prices is a direct and immediate measure of the popular valuation of man’s total productive capability. That this valuation has form is a fact of profound implications that will ultimately revolutionize the social sciences. That, however, is a discussion for another time.

R.N. Elliott’s genius consisted of a wonderfully disciplined mental process, suited to studying charts of the Dow Jones Industrial Average and its predecessors with such thoroughness and precision that he could construct a network of principles that reflected all market action known to him up to the mid-1940s. At that time, with the Dow near 100, Elliott predicted a great bull market for the next several decades that would exceed all expectations at a time when most investors felt it impossible that the Dow could even better its 1929 peak. As we shall see, exceptional stock market forecasts, some of pinpoint accuracy years in advance, have accompanied the history of the application of the Elliott wave approach.

Elliott had theories regarding the origin and meaning of the patterns he discovered, which we will present and expand upon in Chapter 3. Until then, suffice it to say that the patterns described in Chapters 1 and 2 have stood the test of time.

Often one will hear several different interpretations of the market’s Elliott wave status, especially when cursory, offthe- cuff studies of the averages are made by latter-day experts. However, most uncertainties can be avoided by keeping charts on both arithmetic and semilogarithmic scale and by taking care to follow the rules and guidelines as laid down in this book. Welcome to the world of Elliott.

 

Leading Diagonal

 

Leading Diagonal

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When diagonal triangles occur in the wave 5 or C position, they take the 3-3-3-3-3 shape that Elliott described. However, it has recently come to light that a variation on this pattern occasionally appears in the wave 1 position of impulses and in the wave A position of zigzags. The characteristic overlapping of waves 1 and 4 and the convergence of boundary lines into a wedge shape remain as in the ending diagonal triangle. However, the subdivisions are different, tracing out a 5-3-5-3-5 pattern. The structure of this formation (see Figure 1-20) fits the spirit of the Wave Principle in that the five-wave subdivisions in the direction of the larger trend communicate a "continuation" message as opposed to the "termination" implication of the three-wave subdivisions in the ending diagonal. Analysts must be aware of this pattern to avoid mistaking it for a far more common development, a series of first and second waves. The main key to recognizing this pattern is the decided slowing of price change in the fifth subwave relative to the third. By contrast, in developing first and second waves, short term speed typically increases, and breadth (i.e., the number of stocks or subindexes participating) often expands.

 

Figure 1-21 shows a real life example of a leading diagonal triangle. This pattern was not originally discovered by R.N. Elliott but has appeared enough times and over a long enough period that we are convinced of its validity.

WAVE FUNCTION Elliott wave

WAVE FUNCTION Elliott wave

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Every wave serves one of two functions: action or reaction. Specifically, a wave may either advance the cause of the wave of one larger degree or interrupt it. The function of a wave is determined by its relative direction. An actionary or trend wave is any wave that trends in the same direction as the wave of one larger degree of which it is a part. A reactionary or countertrend wave is any wave that trends in the direction opposite to that of the wave of one larger degree of which it is part. Actionary waves are labeled with odd numbers and letters. Reactionary waves are labeled with even numbers and letters.

All reactionary waves develop in corrective mode. If all actionary waves developed in motive mode, then there would be no need for different terms. Indeed, most actionary waves do subdivide into five waves. However, as the following sections reveal, a few actionary waves develop in corrective mode, i.e., they subdivide into three waves or a variation thereof. A detailed knowledge of pattern construction is required before one can draw the distinction between actionary function and motive mode, which in the underlying model introduced so far are indistinct. A thorough understanding of the forms detailed in the next five lessons will clarify why we have introduced these terms to the Elliott Wave lexicon.

Lesson 4: Motive Waves

Motive waves subdivide into five waves with certain characteristics and always move in the same direction as the trend of one larger degree. They are straightforward and relatively easy to recognize and interpret.

Within motive waves, wave 2 never retraces more than 100% of wave 1, and wave 4 never retraces more than 100% of wave 3. Wave 3, moreover, always travels beyond the end of wave 1. The goal of a motive wave is to make progress, and these rules of formation assure that it will.

Elliott further discovered that in price terms, wave 3 is often the longest and never the shortest among the three actionary waves (1, 3 and 5) of a motive wave. As long as wave 3 undergoes a greater percentage movement than either wave 1 or 5, this rule is satisfied. It almost always holds on an arithmetic basis as well. There are two types of motive waves: impulses and diagonal triangles

 

 

Common trading mistakes: part two

Common trading mistakes: part two

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Overreliance on software

Most people use some form of technology to assist their trading.

 

For example, you might study chart patterns or use automated alerts and algorithms as prompts to trade.

 

But, as useful as all of these tools are, it is important to remember that they are only tools, and must be employed wisely.

 

Just as your satnav can occasionally direct you to drive into a deep torrent of water because it doesn't know the river has flooded, trading technology isn't something to follow blindly. You still need to keep your eyes open and react intelligently to the signs you see.

 

Car

So when using technology, such as charting software or other analysis tools, it's important that you understand the underlying concepts and the reasons behind what the charts are telling you. This will allow you to see the bigger picture and avoid unnecessary mistakes.

 

Lack of record keeping

Do you remember your first trade? What about the third, or the fifth?

 

If you're new to trading, the details may still be clear in your memory. But in a few months' time will you still be able to describe each step and decision in detail?

 

Unless you keep a trading log or diary, the chances are that this information will be lost. And if you can't remember what you did right, how can you replicate it? Similarly, if you don't know where you went wrong you could easily make the same mistakes again.

 

Your trading diary will let you look back at your experiences with the value of hindsight and learn from them. So what should you record in it?

 

Question

Which of the following is NOT worth putting in your trading diary?

A

Why you decided to trade

B

What you were wearing at the time

C

Where you placed your stops or limits

D

How you felt at the time you opened and closed the trade

 

Reveal answer

Bad timing

Timing is not only the art of good comedy - it's also central to good trading.

 

In the same way that a stand-up artist needs to deliver the punchline at exactly the right moment, you need to time your entry and exit from a market perfectly to maximise any profit or minimise any loss.

 

Timing mistakes are common among new traders. So how can you avoid them? Although getting your timing right isn't an exact science, there are a few tools that will help you to act at the right moment:

 

Chart analysis will help you forecast potential scenarios by revealing market patterns

A trading plan will help you to define your strategy, meaning you're more likely to avoid impulsive actions

Stops and limits will allow you to go about your business without having to monitor the markets constantly

summary

Remember the limitations of software and use it intelligently

Keep a trading diary and reflect on the strategies that have worked well (or not so well)

Use tools such as charts, stops and limits to help you get your timing right when opening and closing positions

Controlling emotions that cloud your judgment

Controlling emotions that cloud your judgment

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Some types of emotion can affect the clarity of your thinking, and so impact any trading decisions you make.

Anger

A losing trade can make you furious - often simply with yourself, for making a bad decision.

 

But we all make mistakes - it's an important way to learn. If it happens to you, as it inevitably will one day, put it down to experience and make a mental note about what to do differently next time.

 

One common impulse in moments of anger is to try and 'get back at the market' by placing another trade. This sort of knee-jerk reaction - or 'hair-trigger trade' - is nearly always a bad idea. Alternatively, you might just start buying anything and everything indiscriminately. This is known as 'shotgun trading'.

 

Take a moment to sit back and breathe deeply, then consider objectively whether your proposed trade really makes sense and is in line with your overall trading strategy.

 

Relax

Regret

Another common source of annoyance is missing an opportunity - something that's easy to do in the fast-moving world of financial markets.

 

When this happens, it's easy to give yourself a hard time about it, repeating things like 'I should have bought there' or 'I knew that was going to happen'. But this sort of mentality can lure you into traps capable of undoing all your hard work at a stroke.

 

You might, for example, be tempted to place a belated trade anyway, or to risk placing a number of trades in quick succession - known as overtrading - to set things right. You might even 'go on tilt', a particular state of mind which means you make irrational decisions, rather than those based on the merit of what's right in front of you.

 

That's why, if the moment has passed, you need a few tricks to remain clear-headed until the next signal comes along.

 

Fortunately, those tricks are as simple as taking a break, casting an eye over your original trading plan and exercising a positive mentality - remember, missing a move is not the end of the world.

 

Sentimentality

Suppose you've traded gold several times, and each time you've made a healthy profit. It might be tempting to start believing (perhaps subconsciously) that 'gold is your friend', and that it will reward you in the same way every time.

 

Gold

Once this conviction grows, there's a danger that you'll open further positions in gold without properly considering the current situation.

 

Unfortunately, the fact that a particular instrument has been profitable in the past is no guarantee that it will continue to perform for you. But likewise, if you've had a bad experience with a certain asset that's no reason to shy away from any future opportunities it offers.

 

Stress

There are times in all of our lives when events beyond our control affect our ability to think clearly.

 

It could be divorce, family illness, bereavement, or just moving house or changing jobs. All of these things will distract you from trading and could cloud your judgment.

 

The world of financial trading can be hectic, demanding your undivided attention. So when you're going through stressful periods, it's often safest to put your trading on hold until you can commit the necessary time and energy to it again.

 

summary

Don't beat yourself up about poor decisions or missed opportunities. Learn from your mistakes and look forward to getting it right next time

To avoid going on tilt when things go wrong, take a break, remind yourself of your trading plan, and wait until you're back in a positive state of mind

Remember that sentimentality and superstition have no place in trading. No market is your friend or enemy, and every opportunity should be assessed on its merits

When you're suffering from stress in other areas of your life, it may be wise to put your trading on hold