Figure 1: Estimating the date of a cycle high.
Figure 1 is a close-up of the S&P 500 chart I used in my article "Cycles and the S&P 500 Index." In the article I identified a 53-day cycle, the latest of which began on December 23, 2002, and ends on the 5th of March, 2003. From this cycle, I have calculated the three main Fibonacci ratios:
53 days x 38.2% = 20.24 = 20 trading days
53 days x 50% = 26.5 = 27 trading days
53 days x 61.8% = 32.75 = 33 trading days
Looking at a calendar and adding these days to the December 23 will give you the date of the expected high. Do not count weekends, but do count public holidays. Most computer programs have a Fibonacci time indicator available for quick calculations. Also, do allow two days ether side for error and do not forget that in a bear market, the high will lean to the 38.2% mark, a neutral market will be at 50%, and a bull market will lean to the 61.8% mark.
|Will the chart actually meet these dates as predicted? No, not necessarily. These are meant to be used as guides only. My second technique, Gann analysis, allows for a more accurate forecast.|
|Figure 2: Forecasting market turning points using a Gann fan.|
|Graphic provided by: AdvancedGET.|
The fan technique was developed by WD Gann. A Gann fan is created by drawing horizontal lines from prominent highs and lows. From these initial lines, a 45 degree angle line, called a 1 x 1 line is drawn, then a second line at 63 degrees called a 1 x 2, and a third line at 75 degrees called a 1 x 4 are added. From the low, the angles are calculated upwards, and for a high, the angle lines are calculated downwards. Each line on my chart has a different color, which is important. The 1x1 (45 degree angle) is red; the 2 x 1 and 1 x 2 are blue, and the 4 x 1 and 1 x 4 are green. Where the fan lines intersect are thought to be market turning points.
|Being a traditionalist, I prefer to calculate the angle using Gann numbers 1, 2, 5 and multiples and divisions by 10 of these numbers. Today's computer programs allow Gann fans to be drawn from fractions of any number. |
Figure 2 shows my Gann fan lines from the August 22nd high, the October 8th low, and the December 2nd high.
|I have found that an accurate way to use a Gann fan to determine a market turning point is to place the fan on the most recent turning point, and draw a horizontal line from that point. Where the fan crosses that horizontal line drawn from the PREVIOUS pivot point, suggests a possible turning point. For example December 27th, point D on the chart, could be the cycle low, and not December 23rd as the 53-day cycle has determined. The downward 1 x 1 angle from December 2nd (A), crosses the horizontal line drawn from the low of the 8th October, on January 23rd. Is this a possible date for the high? Or could it be January 24th as suggested by the 1 x 2 line (blue) crossing the horizontal line drawn from the pivot point at 'A'?|
Finally I will take notice of the date that two of the same coloured lines cross, highlighted by the points 'B' and 'C' on the chart. These points can be major or intermediate highs or low turning points.
In conclusion, do note that where the simple cycle analysis calls for a major low on March 5, 2003, the Gann fan is calling for a turning point (high or low) on the 17th March.
Do I use Gann fans in my analysis? Yes, I do, but more for trading than investing. They can be very complicated but once you understand the technique they can also be very rewarding.
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