Tuesday, September 18, 2007

Basic Tenets of the Elliott Wave Principle

“The Wave Principle” is Ralph Nelson Elliott’s discovery that social, or crowd, behavior trends and reverses in recognizable patterns. Using stock market data for the Dow Jones Industrial Average (DJIA) as his main research tool, Elliott discovered that the ever-changing path of stock market prices reveals a structural design that in turn reflects a basic harmony found in nature. From this discovery, he developed a rational system of market analysis.

Under the Wave Principle, every market decision is both produced by meaningful information and produces meaningful information. Each transaction, while at once an effect, enters the fabric of the market and, by communicating transactional data to investors, joins the chain of causes of others’ behavior. This feedback loop is governed by man’s social nature, and since he has such a nature, the process generates forms. As the forms are repetitive, they have predictive value.

Elliott isolated thirteen “waves,” or patterns of directional movement, that recur in markets and are repetitive in form, but are not necessarily repetitive in time or amplitude. He named, defined and illustrated the patterns. He then described how these structures link together to form larger versions of the same patterns, how those in turn are the building blocks for patterns of the next larger size, and so on. His descriptions constitute a set of empirically derived rules and guidelines for interpreting market action. The patterns that naturally occur under the Wave Principle are described below.

The Five Wave Pattern

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. The two interruptions are apparently a requisite for overall directional movement to occur.

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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.

Wave Mode

There are two modes of wave development: impulsive and corrective. Impulsive waves have a five wave structure, while corrective waves have a three wave structure or a variation thereof. Impulsive mode is employed by both the five wave pattern of Figure 1 and its same-directional components, i.e., waves 1, 3 and 5. Their structures are called “impulsive” because they powerfully impel the market. Corrective mode is employed by all countertrend interruptions, which include waves 2 and 4 in Figure 1. Their structures are called “corrective” because they can accomplish only a partial retracement, or “correction,” of the progress achieved by any preceding impulsive wave. Thus, the two modes are fundamentally different, both in their roles and in their construction, as will be detailed in an upcoming section.

The Complete Cycle


A five-wave impulse (whose subwaves are denoted by numbers) is followed by a three-wave correction (whose subwaves are denoted by letters) to form a complete cycle of eight waves. The concept of five waves up followed by three waves down is shown in Figure 2. The eight-wave cycle

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shown in Figure 2 is a component of a cycle of one degree larger, as shown in Figure 3. As Figure 3 illustrates, each same-direction component of an impulsive wave, 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 crucial to understand an essential point: Figure 3 not only illustrates a larger version of Figure 2, it also illustrates Figure 2 itself, in greater detail. In Figure 2, each subwave 1, 3 and 5 is an impulsive wave that will subdivide into a “five,” and each subwave 2 and 4 is a corrective wave that will subdivide into an a, b, c. Waves (1) and (2) in Figure 3, if examined under a “microscope,” would take the same form as waves and . Thus, waves of any degree in any series always subdivide and re-subdivide into waves of lesser degree and simultaneously are components of waves of higher degree. We can use Figure 3 to illustrate two waves, eight waves or thirty-four waves, depending upon the degree to which we are referring.

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The Essential Design

Now observe that within the corrective pattern illustrated as wave in Figure 3, waves (a) and (c), which point downward, are composed of five waves: 1, 2, 3, 4 and 5. Similarly, wave (b), which points upward, is composed of three waves: a, b and c. This construction discloses a crucial point: that impulsive waves do not always point upward, and corrective waves do not always point downward. The mode of a wave is greatly determined not by its absolute direction but by its relative direction. Aside from four specific exceptions, which will be discussed later in this booklet, waves divide in impulsive mode (five waves) when trending in the same direction as the wave of one larger degree of which it is a part, and in corrective mode (three waves or a variation) when trending in the opposite direction. Waves (a) and (c) are impulsive, trending in the same direction as wave . Wave (b) is corrective because it corrects wave (a) and is countertrend to wave . In summary, the essential underlying tendency of the Wave Principle is that action in the same direction as the one larger trend develops in five waves, while reaction against the one larger trend develops in three waves, at all degrees of trend.

Neither does Figure 3 imply finality. As before, the termination of yet another eight wave movement (five up and three down) completes a cycle that automatically becomes two subdivisions of the wave of next higher degree. As long as progress continues, the process of building to greater degrees continues. The reverse process of subdividing into lesser degrees apparently continues indefinitely as well. As far as we can determine, then, all waves both have and are component waves.

Variations on the Basic Theme

The Wave Principle would be simple to apply if the basic theme described above were the complete description of market behavior. However, the real world, fortunately or unfortunately, is not so simple. The rest of this chapter fills out the description of how the market behaves in reality.

Wave Degree

All waves may be categorized by relative size, or degree. Elliott discerned nine degrees of waves, from the smallest wiggle on an hourly chart to the largest wave he could assume existed from the data then available. He chose the names listed below to label these degrees, from largest to smallest:

Grand Supercycle
Supercycle
Cycle
Primary
Intermediate
Minor
Minute
Minuette
Subminuette

Cycle waves subdivide into Primary waves that subdivide into Intermediate waves that in turn subdivide into Minor and sub-Minor waves. It is important to understand that these labels refer to specifically identifiable degrees of waves. By using this nomenclature, the analyst can identify precisely the position of a wave in the overall progression of the market, much as longitude and latitude are used to identify a geographical location. To say, “the Dow Jones Industrial Average is in Minute wave v of Minor wave 1 of Intermediate wave (3) of Primary wave of Cycle wave I of Supercycle wave (V) of the current Grand Supercycle” is to identify a specific point along the progression of market history.

When numbering and lettering waves, some scheme such as the one shown below is recommended to differentiate the degrees of waves in the stock market’s progression:
Wave Degree 5s With the Trend 3s Against the Trend
Supercycle (I) (II) (III) (IV) (V) (A) (B) (C)
Cycle I II III IV V A B C
Primary
Intermediate (1) (2) (3) (4) (5) (a) (b) (c)
Minor 1 2 3 4 5 A B C
Minute i ii iii iv v a b c
Minuette 1 2 3 4 5 a b c
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Tuesday, September 11, 2007

Article by Neal Hughes

First, a few words about Fibonacci himself…

Leonardo Pisano (nickname Fibonacci) was a mathematician, born in 1170, in Pisa (now Italy). His father was Guilielmo, of the Bonacci family. His father was a diplomat, as a result Fibonacci was educated in North Africa, where he learned "accounting" and "mathematics".

Fibonacci also contributed to the science of numbers, and introduced the "Fibonacci sequence"

The Fibonacci sequence is the sequence 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, introduced in his work "Liber abaci" in a problem involving the growth of a population of rabbits.

Aside from this sequence of number where every next number is the sum of the proceeding two, 0, 1 (0+1), 2 (1+1), 3 (2+1), 5 (3+2), 8 (5+3), 13 (8+5), etc.

There are the "Fibonacci ratios".. By comparing the relationship between each number, and each alternate number, and even each number to the one four places to the right, we arrive at some fairly consistent ratios.. The important ones are .236, 50, .382, .618, .764, 1.382, 1.618, 2.618, 4.236, and for good measure we include 1.00 ..

It turns out that the ratios are mathematical principles prevalent in nature around us, and is also in man-made objects. There are many interesting, entertaining, and poetic observations about Fibonacci numbers and ratios in the universe (see the reference section below). Fibonacci numbers appear in ancient buildings, in plants, planets, molecules, the dimensions of human bodies, and of course snails… But of what use is all that to the lowly trader?

What really interests you, the application of Fibonacci techniques in the trading environment..

Traders usually study charts! Fibonacci ratios may be applied to the Price scale, and also to the time scale of charts. I study the price scale. My focus here will be on the price scale for now, perhaps in the future I'll add some time-scale studies.

Prices never move in a straight line. Look at any chart, you will see many wiggles, as price advances and retraces.. Stocks, Futures, Forex, all instruments which are liquid, will often retrace in Fibonacci proportions, and advance in Fibonacci proportions. Not always, and not precisely to the penny. But very often, and reasonably close! This happens often enough that profitable trades can result. I will show you some examples below.

I used Fibonacci ratios with a few simple indicators to help determine probable price turning points, optimum entry, exit and stop-loss levels. My complete techniques are available in on-line video seminars, in-person seminars, and via my real-time on-line chat facility. For more details, see the following web page: http://www.surefire-trading.com/fibmaster.html

The application of Fibonacci to trading can be very complex, and take much time and experience to perfect. Many traders enjoy making the process as difficult and as complex as they can tolerate.. I do the opposite, I try to simplify, try to bring clarity.