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发表于 2008-4-19 12:41
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3/11 More on Fibonacci, and Waves This gives us additional ratios of secondary importance (0.382 and 2.618), and tertiary importance (0.236 and 4.682), as summarized in the next table.
Fibonacci Sequence (example)
| Factor
(55/34, etc)
| Divisor
(34/55, etc)
| Inverse
1-(34/55), etc | 2 (34, 55)
| 1.618
| 0.618
| 0.382 | 3 (34, 89)
| 2.618
| 0.382
| 0.618 | 4 (34, 144)
| 4.236
| 0.236
| 0.764 | Other
| 1.382
| 0.50
| | The table also shows two other numbers that are important in the Fibonacci sequence, 0.5 and 1.382. 0.5 is an important retracement ratio because, well, it is halfway between 0.382 and 0.618. Need more reason? The midway point is always important in any growth cycle; just ask anyone who has reached that age! In the financial markets, when prices drop to the midpoint of a previous trading range, the buyers and sellers will notice this and, collectively if not consciously, take pause to decide whether to move back up again, or to continue on down. As for 1.382, I cannot explain why it is also an important growth number, other than to say that it inherently relates to 1.618 just as 0.382 relates to 0.618.
No, prices do not move in a straight lineBefore we apply the ratios in Table 1 to the market, let’s look at the relationship between growth and retracement, because this is important to understanding how prices move in the markets. Luckily for traders, prices do not move in a straight line. The “dips,” or retracements, are what provide us with the opportunity not only to enter the trade, but also to estimate when to get out of the same trade.
Generally, when buyers outnumber sellers, the price goes up. This, of course, attracts more buyers – and more willing sellers – until the buying pressure is spent. Then what happens? Prices usually collapse, or retrace, in the direction from which they came. Why? Because the buyers have “switched sides” to become sellers in order to take profits. These sellers now outnumber the buyers and are chasing the price back down. In a trending market, this tends to have a rubber band effect; each advance is met by a retracement. After the sellers have taken their profits, if the overall uptrend is still intact, the retracement will then be met by another advance.
The combination of an advance, a retracement, and another higher advance forms a wave pattern, as shown in Figure 3. Note how the wave pattern is made up of a MSL, followed by a MSH, followed by a higher MSL. This is the basic building block of any wave: MSL, MSH, Higher MSL. For a downward wave, the pattern is simply the reverse: MSH, MSL, and Lower MSH. The first wave in a sequence is known as the seed wave because it is the seed from which the subsequent waves grow.
Figure 3

As you will see, the ratios that we derived from the Fibonacci sequence can be used to both gauge the retracement of one wave and predict the advance of the next. All we need to know is the size of the first “seed.”
Figure 4 shows the same wave pattern as Figure 3, but in the slightly more chaotic context of the real world: an actual chart of Microsoft.
Note again the pattern of MSL, MSH, and Higher MSL. - Note also that this Wave Pattern is the beginning of a reversal from a down trend to an uptrend (from short to long), so it is a seed wave.
Figure 4

You may also have noticed that (1) is a MSH and (2) is a higher MSL. Why not use these as the “seed”? There are many different ways to determine a wave. Strict observers of the Fibonacci sequence contend that there should be between eight and thirteen time periods between the first MSL and the next higher MSL. This gives the wave a “reasonable” amount of time to develop. Strictly speaking, then, the MSL labeled (2) occurs before the eighth candle and so is not counted.
Using Fibonacci to forecast wavesNow that we have identified a seed wave, we can use the Fibonacci growth ratios to estimate how high the next wave(s) will be. This is useful because it tells us when to exit the trade. Note that the ratios do not tell us that there will be a subsequent wave. They only tell us what to do if there is another, higher, wave.
Figure 5 shows the same 13-minute chart of Microsoft, with the Fibonacci growth targets and retracement pivots drawn in.
Figure 5

(1) This is the beginning of the wave, as determined by the MSL. Because it is also the low point of the previous trading range, it is the start of a seed wave.
(2) This is the end of the first wave, as determined by the MSH. Subtract the bottom of the wave from the top of the wave to get the range. In this case, the range is 55.76 – 54.55 = 1.21. Note how this range is shown in the drawing tool on the chart, with (1) as 0% and (2) as 100%.
(3) This is the higher MSL. It also represents the retracement back down from the initial advance to the MSH. Typically, if prices are moving upward with strength, the retracement will be to about 50% of the range of the previous wave. This is the “what shall we do now” point that I mentioned earlier, where buyers and sellers take a pause and, collectively, try to decide what to do next. As you can see in this example, the main candle bodies of the MSH found support at the 50% retracement pivot.
(4) This is the end of the next advance. Once prices retrace to point (3), and once we see them pivot and move on up, we can then use the Fibonacci targets to estimate where the top of the next wave will be, like magic! The calculation is easy. Take the range of the seed wave, which we already know is 1.21. Multiply that by the Fibonacci ratio of 1.618 to get 56.5. That is the target for the growth of the next wave up. As you can see, prices rose exactly to that target before falling back.
This was an ideal example. On any given day in the market, the trading action is such that you rarely witness a retracement to exactly 50% of the previous wave, followed by a growth to exactly 161.8% of that wave. But you will find that in strongly trending markets, this ideal is the rule more than it is the exception. Shortly, I will take you through some trades that are not quite as ideal.
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