Gann vs. geometric angles .... I

Angles drawn on price charts are similar to trendlines except that they are not drawn with the benefit of hindsight. Two approaches to such angles, geometric angles and Gann angles, are similar but they are not the same. Here is how to apply each.

Analysts sometimes attempt to equate the line slopes known as Gann angles, with line slopes commonly known as geometric angles. If the intent is to illustrate Gann angles and approximate them to geometric angles, then there is agreement.

But if the inference is to suggest that a Gann angle is the same as a geometric angle (a 1×1 Gann angle for instance, equaling a 45-degree geometric angle) then there is some difference in opinion.
This article will clarify the difference between Gann angles and geometric angles - a subject that has been argued for longer than the question of whether the chicken or the egg did indeed come first.

GEOMETRICANGLES
In high school geometry, it is learned that a line connecting two points in space forms a geometric angle to the horizontal line.

We can easily adapt this to technical analysis of market prices. Connecting two or more lows, or two price points, forms a line of a specific geometric degree to the horizontal. Price is the only factor that is considered for determining the geometric angle at which the line rises or falls.

Horizontal and vertical lines form angles of O degrees and 90 degrees, respectively. How "high above" or "low below" the second price point is in relation to the first point determines the "angularity" - or slope - of the line.

GANN ANGLES
Gaiin angles are based on the analysis techniques of W.D. Gann. Gann was a well-known trader of the 20th century. His original works, and those articles, books, training courses and videos that followed him, are legion in number. As with most legends that have taken on a life of their own, separating fact from fiction about his abilities and techniques is becoming difficult.

One aspect of Gann's research went one step further than to use only geometric angles to define price slopes. Gann considered the time needed for prices to complete a rising or falling trend to be even more important than the price change in the market.

Resulting are Gann angles that define price-trend slopes not only as a function of price but also of time. Drawing lines from a major high or a major low and using a proportional ratio factor, unique for each market, determines the line's slope of ascent or descent. "Another angle" (right) shows how Gann angles can differ from a 45-degree line and across different markets.

The ratio factor is the determining factor for differentiating between a Gann angle and a geometric angle. When a chart's scale for price or time changes, the slope of a Gann angle will not change; the slope of a geometric angle will change.

For instance, using the Gann-angle concept, the line's slope of following the prices' rise in 30 minutes would be steeper than the line's slope at which prices rose the same number of points, but in 60 minutes.


Rather than identifying the priceline slope of his angles in terms of geometric degrees (33 degrees, 45 degrees, etc.), Gann identified his angles by the unique expression reflecting the ratio of price to time (A × B) in which:
* A is the number of price units by which prices rise or fall
* B is the number of time units required for prices to complete a trend by moving the number of price units.

Examples of Gann-angle expressions are 1×1, 2×1, 1×2, etc. A 1×1 Gann angle, for instance, means that price is moving at the rate of one unit of price (whatever a "unit" of price - or ratio of price to time - may be) in one unit of time (minute, hour, day, etc). The next faster Gann angle would be a 2×1, meaning that prices are rising (or falling) at the rate of two units of price in one unit of time.
Conversely, the next slower Gann angle before a 1×1 is a 1×2 - prices are rising (or falling) at the rate of one unit of price in two units of time.
Gann Angles, which could be bearish or bullish, assist in three goals of the technical trader:
1. Monitoring trend slopes
2. Projecting price turning points
3. Identifying levels of support and resistance.

MONITORINGTRENDSLOPES
Gann said that price trends follow certain pre-determined slopes. The angle of these slopes reflect the stages of a price trend.
For example, when a trend begins, the trend's slope is of a slighter degree - a "shallower" slope, such at a 1x4 Gann angle. At the end of a trend, a trend's slope may be "steeper," such as at a 4×1 or 8×1 Gann angle.

The best known expression related to Gann angles is questioning if prices are "at a 45," "above a 45" or "below a 45." These comments refer to prices being at (normal), above (demonstrating a bull market) or below (demonstrating a bear market) a 45-degree angle. Should prices break a 45, it may be an indication that the trend direction has, or is about to, change from bear to bull or bull to bear.

PROJECTING TURNING POINTS
Certain intersections of bear and bull Gann angles may indicate future turning points for prices.
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Using Gann to Trade the Main Trend

Last month I wrote a broad-based article about Gann Theory. The piece described Gann Theory as the study of pattern, price and time relationships. This month's article covers the concept of pattern.

When writing about pattern under the context of Gann, the Gann Swing chart is the first pattern which comes to mind. The Gann Swing chart is also often referred to as the Gann Trend Indicator. Creating a Gann Swing Chart is an important first step in using Gann analysis because it identifies the trend and the important tops and bottoms from which to draw the Gann angles. In addition, the chart provides valuable information to the trader such as size and duration of the swings. This information helps the trader find price and time targets and to identify when the market is ahead or behind target.

Gann Swing Charts can be created for the minor trend or the main trend. Some analysts prefer the minor, intermediate and main trend outlook. For this article we will use the 2-bar swing chart as our main trend indicator. A 2-bar swing chart measures swings only after the market has made two consecutive higher-highs or two-consecutive lower-lows. A minor or 1-bar swing chart would follow the one day swings of the market.

Before we learn how to construct the 2-bar swing chart let's look at some of the benefits it has over a minor swing chart.

1. Main trend chart opportunities occur less frequently than minor trend opportunities. This keeps the cost of trading to a minimum.

2. Trading less frequently than the minor trend indicator makes the trader less likely to be whipsawed and also makes the possibility of a long series of losses less likely.

3. Main trend trading opportunities develop more slowly and more predictably than minor trend opportunities. This give the trader time to watch the formation and to make adjustments when necessary.

4. Although the same technique is required to create the main trend chart, and the minor trend chart, the amount of time devoted can be less especially if the market is in a steep uptrend or downtrend.

5. The mental exhaustion caused by frequently changing direction, overtrading, and taking a series of losses is not as common for the main trend trader as it is for the minor trend trader.

CONSTRUCTION

The main trend chart can be used to identify the main trend tops and bottoms for any time period. In order to avoid confusion about whether we are speaking exclusively of the monthly, weekly, daily, or intraday charts, we call each trading time period a bar.

The main trend swing chart, or 2-bar chart, follows the 2-bar movements of the market. From a low price each time the market makes a higher-high than the previous bar for two consecutive time periods, a main trend line moves up from the low two bars back to the new high. This action makes the low price from two bars back a main bottom.

Figure 1:












From a high price each time the market makes a lower-low than the previous bar for two consecutive time periods, a main trend line moves down from the high two bars back to the new low. This action makes the high price from two bars back a main top.

Figure 2:












The combination of a main trend line from a main bottom and a main trend line from a main top forms a main swing. This is important information, because when stop placement is discussed, traders will be told to place stops under main swing bottoms, not under lows, and over main swing tops, not over highs. Learn and know the difference between a low and a main swing bottom, and a high and a main swing top.

Once the first main top and bottom is formed, the trader can anticipate a change in the main trend. Starting from the first day of trading, if the main trend line moves up to a new high, this does not mean that the main trend has turned up. Conversely, if the first move is down, this does not mean the main trend is down. The only way for the main trend to turn up is to cross a main top, and the only way for the main trend to turn down is to cross a main bottom.

Figure 3:












In addition, if the main trend is up and the market makes a main swing down that does not take out the previous main swing bottom, this is a correction. If the main trend is down and the market makes a main swing up that does not take out the previous main swing top, this is also a correction. A market is composed of two types of up and down moves. The main swing chart draw attention to these types of moves by identifying trending up moves and correcting up moves, as well as trending down moves and correcting down moves.

In summary, when implementing the main swing chart, the analyst is merely following the two-bar up and down movements of the market. The intersection of an established downtrending line with a new uptrending line is a main swing bottom. The intersection of an established uptrending line with a new downtrending line is a main swing top. The combination of main swing tops and main swing bottoms forms the main trend indicator chart. The crossing of a main swing top changes the main trend to up. The penetration of a main trend bottom changes the main trend to down. The market is composed of main uptrends, main downtrends, and main trend corrections.

James A. Hyerczyk is a registered Commodity Trading Advisor with the National Futures Association. Mr. Hyerczyk has been actively involved in the futures markets since 1982 and has worked in various capacities from technical analyst to commodity trading advisor. Using W. D. Gann Theory as his core methodology, Mr. Hyerczyk incorporates combinations of pattern, price and time to develop his daily, weekly and monthly analysis.

His published works include articles for Futures Magazine, Trader's World, SFO Magazine, Forex Journal, and Commodity Perspectives (Commodity Research Bureau), and, his book Pattern, Price & Time published by John Wiley & Sons, Inc. in 1998.
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