Intoduction to Technical Analysis

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Technical Analysis Questions and Answers (Q&A)

What is Technical Analysis?

Technical Analysis is used to evaluate trading opportunities using the study of past market action to predict the direction of investments and are based on three premises:

  1. Market action discounts the known fundamentals
  2. Prices move in trends
  3. History repeats itself

What is Technical Analysis helpful for?

Helps identify trends and where price action is in relation to that trend, Useful in money management helping to identify stops and price targets, Enables the analyst to cover many markets in a short space of time, and you do not necessarily have to be an expert in that market to analyse it to some degree, Helps you understand the nature of human behaviour by looking at price action, studying emotions of fear and greed and hope become apparent.

What else is Technical Analysis useful for?

Helps understand the supply/demand situation of a particular instrument, Gives you a weapon against economists and rational thinking, Helps you to use this in conjunction with a fundamental view.

What is the relationship between Fibonacci Numbers and Ratios for Technical Analysis?

800 years ago a brilliant mathematician named Leonardo of Pisa, he introduced the Arabic numbering system we use today 1, 2, 3, 4, 5, 6, 7, 8, 9 and also the idea of fractions 5 ½ and the decimal point and the square root symbol. He wrote 5 books the most famous “Liber Abacci”. He also introduced the numbering system as follows 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144 etc and the discovery of certain natural ration relationships.

Why use Fibonacci Numbers in Technical Analysis?

Technical Analysts measure the distances of moves from low to high, or high to low, and ratios of that distance to determine targets and support and resistance points in the future.

0.236%, 0.382%, 0.50%, 0.618% & 0.764% are the common ratios used - these ratios are also used in Gann and Elliott Wave analysis. Remember, using just one technique is not as reliable as multiple techniques to give the confidence to trade i.e. rule of multiple techniques. If various techniques pointing to similar numbers then these are important.

What are the conventional visual chart patterns in Technical Analysis?

These are the most commonly found in western technical analysis techniques

  • Reversal Patterns
  • Continuation Patterns
  • Channels

These patterns all have measuring implications and targets with defined support and resistance. These above patterns re-occur time after time which makes them reliable and helps reinforce the tenet ‘that history repeats itself’. Much of western technical analysis has some basis from Dow Theory also.

Why has Technical Analysis regained popularity?

CitiFX released their first poll of global foreign exchange traders in late 2010. The survey found that 53% of those polled use a combination of fundamental and technical analysis in their trading with 36% using only technical strategies. Only 8% use solely fundamental analysis to trade. The Technical Analyst Q1 2011

Why do traders and other market practitioners use technical analysis?

To attempt to predict future price actions based upon observation of historical prices.

Why do people use Technical Analysis?

Here are some quotes regarding Technical Analysis; In finance, technical analysis is a security analysis discipline for forecasting the direction of prices through the study of past market data, primarily price and volume. Kirkpatrick and Dahlquist. Technical Analysis: The Complete Resource for Financial Market Technicians.

What is now called technical analysis, or market analysis, is the oldest form of financial analysis in the world. Several centuries ago in the corn markets of England and the rice markets of Japan traders developed a method of recording transactions that would enable them to see at a glance how much people had been paying for the product. With the help of that information they were able to assess where supply and demand were in balance and thus see better what price they should agree for their future transactions. Bronwin Wood, Society of Technical Analysts (UK)

Below is the full Technical Analysis course to get a strong foundation in the subject.

Chapter 1: Support and Resistence

1.1 Introduction

One of the most important concepts in technical analysis is the concept of trend. The technical analyst operates on the assumption that prices move in trends, the goal is to identify the trend as early as possible in order to trade in that direction. Trend can be defined as the direction of the market. The markets rarely move in straight lines but through a series of peaks and troughs that are referred to resistance and support levels respectively.

It is the direction of these successive highs and lows which constitutes the market trend. Hence,an uptrend is defined as a series of successively higher lows and higher highs, while a downtrend is a series of successively lower highs and lower lows.

1.2 Support and Resistance Levels

The basic idea behind these support-resistance theory is that the understanding of the future lies in the past. Price levels that were significant in the past will be of importance for the price action in the future.

Usually a support or resistance level is identified by previous lowsb> or previous highs and is a level beyond which process may have difficulty in moving. They are therefore considered important levels in connection with buying and selling decisions.

Big Figures often become psychological resistance or support levels. We see this happen in all markets. The bigger the figure, the bigger the support or resistance.

Price projections and retracementsalso give areas for support and resistance on a chart. The Fibonacci series gives us a key percentage for both projections and retracements.

Recent Support at 1.1172 can be seen on the EURUSD chart above.

Role Reversal

When a support or resistance levels breaks it often reverses roles, i.e. support becomes resistance and resistance becomes support. So it is important to note old levels of support and resistance for the future.

Trading Strategy

Once a level becomes support or resistance, when the price once again trades to that level a position should be taken on the assumption that the level will once more hold with a stop (and reverse) the other side of the line. It is important to note that the longer a price has been support or resistance and the more times the level has been touched and held the more important the level.

1.3 Trendlines

Trendlines are harder to visualise than support and resistance lines. They are diagonal lines that either define an area of support in the market or an area of resistance. It identifies the current trend of a market and a break of the trendline indicates either a reversal or a retracement in that trend.

An uptrend is a succession of higher highs and higher lows and a downtrend is a succession of lower highs  and lower lows.


It is very important to draw a trendline correctly. Unlike a support or resistance line, two points are needed to draw a trendline but a third point is needed to confirm it. The more touches and the longer the trendline has been in place the more important it is.


In an uptrend a line is drawn connecting the lows to form a trendline. This is because the buyers in market are pushing the market in an uptrend. As analysts we are not looking to sell at the top of a market, we are looking to buy into an uptrend. We need to know that following a period of retracement back to the supporting trendline buyers reenter the market and push the market back up. If this fails to happen, then there could be a trend reversal. The vice versa is true for a downtrend.


A correctly drawn downtrend Trend Line USDGBP

Filters - validity of the trendline breaking

A basic trend change signal is created when either a support or resistance line has been penetrated. The use of Time and/or Price Filters is a common method of trying to avoid false signals:

Time filters

  1. Some suggest that a close beyond a broken trendline is needed to confirm a break.

  2. The Two-Day Rule states that the price must close beyond the trendline for two consecutive periods for the break to be considered valid.

Price Filters

A trendline must be broken by a predetermined value or percentage amount (set by the dealer) before the break is considered to be valid. Traders commonly use filters but they are a very personal thing. We suggest experimenting and analysing the market before deciding on your filter. Employ both Time and Price filters at the same time. Once your rules have been set it is important to maintain the discipline in the heat of the moment and stick to them.

1.4 Channels

A channel is an extension of the trendline. In an uptrend, the channel line is drawn parallel to the trendline above the price action. In a downtrend, the channel line is drawn parallel to the trendline below price action. The trendline and channel line should engulf the price action. Channels are more useful to an analyst than a trendline because they identify a minimum price objective for the market should the price break out of the channel.

The important line in a channel pattern is still the trendline. The channel line is purely a measuring line and should not be used as a trading signal. It can be used as a take profit indicator, but it should not be used to establish a position against the prevailing trend.

Once the channel line has been drawn on the chart, the width can be measured and projected from the break of the trendline. This is the Minimum Price Objective (MPO).

Trendline is confirmed by the third touch . Parallel draw in with two touches. Sell expecting market to go lower, still in downtrend. Stop and reverse above trendline currently @ 106.52.

Break above the trendline indicates potential trend reversal. Measure width of channel and project MPO from the break out. Stop and reverse triggered so now long and carrying small loss.

The market moves strongly towards 61.8% of the Minimum Price Objective. It then retraces back to the break out area - chance to buy more or establish a long position if the initial break was missed. Market then moves stronger higher and forms a pennant (covered later in the patterns section), before another strong move up to the MPO,.the market then moves higher again to find resistenace just below 161.8% of the MPO, coinciding with the previous high in august. By this time the market had formed another channel with the new uptrend.

1.5 Percentage Retracements

It was mentioned earlier that prices do not move in straight lines but with successive peaks and troughs. Prices tend to retrace a certain percentage of the previous move before resuming the previous trend.

The best known is the 50% retracement. In a downtrend for instance, prices may retrace 50%of the previous decline before resuming the move in the original downward direction.This 50% level is a common target for support in an uptrend (or resistance in a downtrend.)

Besides the 50% retracement, there are also minimum and maximum retracement parameters widely recognised by chartists. A minimum retracement is one-third and a maximum retracement two-thirds of the previous trend.

Even in a strong trend, the prices will tend to retrace at least one-third of the previous move, but if the correction exceeds the two-thirds level, then the retracement is more likely to be a trend reversal, (i.e. If the prior trend is to be maintained the correction should stop at the ⅔ point.)

Trading using Percentage Retracements

Percentage Retracements can be used for trading purposes, the goal of the system being to trade in the direction of the main trend, but to take advantage of the reaction retracements to get favourable entry and exit points. In an uptrend, the 33% - 50% area may be considered as a ‘buying zone’ under the market and can be used to enter new (or add to previous) long positions.The same reasoning can apply to downtrends where this 33%-50% zone may be considered as a selling area above the market. Notice here that these zones may well coincide with actual trend lines discussed earlier in this chapter, thus giving greater strength to these support or resistance levels.


These parameters (33-50-66) are taken from the Dow Theory, while Elliot Wave Theory and Fibonacci Ratios lead to percentage retracements of 38.2% and 61.8%. Some technical analysts combine these two approaches and use a minimum retracement zone of 33% to 38% and a maximum retracement zone of 62% to 66%. Furthermore, users of Gann Theory divide price action into eighths with special importance being given to ⅜ (37.5%), 4/8 (50%) and ⅝ (62.5%).


Widely recognised retracement parameters:

  • Dow Theory: ⅓ and ⅔ retracements, with the price move divided into thirds. (Minimum retracement 33%, Maximum retracement 66%)

  • Gann Theory: Inverse power of 2 (especially ⅜, 4/8 and ⅝)

  • Elliott Wave Theory and Fibonacci ratios: (0.618 and 0.382)

  • Schabacker: Only ⅓ or ½ were considered, as anything larger he considered a trend reversal.

1.5.1 W. D. Gann (1878-1955)

William D Gann was a legendary stock and commodity trader who developed a unique combination of precise mathematical and geometrical principles. His studies were based on the 'Squaring of time and price', as he considered the duration of a price movement to be almost as important as the actual size of the price change. Hence he concluded that:

  1. The longer the consolidations phase the longer the price movement after the breakout.
  2. A broken resistance level will become support, and vice-versa.
  3. When time and price are 'squared', a market turn is due. (i.e. Look for the combination of a key price level occurring at a specific time interval).

In addition, the geometric form of 360 degrees in a circle was very significant to him.

Gann Retracements

In an uptrend, when the price has moved from a significant low and looks to have peaked, the question arises 'At what levels might we find support as the price declines ?' Gann attempted to answer this question using percentage retracements. Notice, of course, that retracement lines cannot be drawn until a significant high has been made.

Gann divided price actions into eighths. The most significant of these divisions was 4/8 (50%), which also happens to be the Fibonacci ratio (1/2). 3/8 (37.5%) and 5/8 (62.5%) followed this. Notice that these numbers also correspond closely with the Fibonacci retracements of 38.2% and 61.8%, which incidentally also have significance in Elliot Wave Theory.

Less important fractions included 1/8, 2/8, 6/8 and 7/8, although 8/8 (100% retracement) was significant as it signalled a full trend reversal and corresponded again with the Fibonacci ratio 1/1. As well as eighths, Gann was also interested in 1/3 and 2/3 retracements (also Dow Theory minimum and maximum retracements).

Gann Angles

In conjunction with percentage retracements, Gann employed geometric angles for relating price

h areas of potential future support and resistance. Using squared graph paper, he constructed lines based on 'boxes up (or down) versus boxes to the right'.

The starting points for these angles were any significant tops or bottoms , so Gann's price charts soon became rather crowded! Firstly he drew the 1 by 1 primary bullish support line up from a market bottom (or the primary bearish resistance line down from a market top). This line represents a perfect balance between time and price. If the support line is broken downwards, this usually indicates a further price drop to the next lower line. Correspondingly, if prices break upwards through a resistance line, they would be expected to rally to the next higher one.

Chart Analysis combining Gann Angles and Retracements.


Although there are many angles and retracement lines that can be drawn, it is best to concentrate on the most important ones. These are the 1x1, 2x1 and 1x2 Gann Angles, and the 3/8, 4/8 and 5/8 Gann Retracements. (i.e. 50% retracement and the two Fibonacci ratios).


The next move is to find confirmation (or coincidence) between the two techniques, at which points there should exist excellent support or resistance. The best example would be a 50% retracement of an uptrend to the (1x1) 45-degree line, although any combination of line holds more weight as support or resistance than any single line.

Applying Gann Theory in the Foreign Exchange Market.

As mentioned earlier, WD Gann was a trader of stocks and commodities, primarily trading grains for many years. He observed that bull markets lasted longer than bear markets, and concluded that reversal patterns reduce in magnitude as the move persists. The nature of the inflationary environment in which we live is such that prices tend to increase in the long term, but an important condition here is that the supply of the commodity is finite. In the FX market, however, it could be said that 'Dealers buy what they don't want, and sell what they don't have'. This is made possible by the 'infinite' nature of market, which may question the validity of Gann Theory when applied to Foreign Exchange.

Although Gann was a pure technician using charts for all his analyses,he was also a trader with a trader's mentality. The rationale behind many of his theories was behavioural:

  • In a rising market Trader 1 takes a long position towards the end of the rise.
  • The market declines and he has an unrealised loss.
  • As soon as the price returns to his cost, he sells his position to Trader 2, and gets out flat.
  • By selling he has automatically created resistance at that previous high level.
  • Trader 2 who bought the position sees it trade at this level for a while before moving higher.
  • Now he wishes he'd bought more at the lower level, but resolves to do so if the price declines.
  • Trader 1 is angry that he sold when he did, and resolves to buy back if the price declines.
  • In the meantime, Trader 3 sold short when Trader 1 sold out, and has an unrealised loss.
  • He is in trouble, but also resolves to cover the short if the price declines.
  • Trader 4 has been long for months and starts selling to realise a large profit.
  • This causes the price rise to falter and retrace back towards the earlier resistance level.
  • Traders 1,2 and 3 are now alert, waiting for their chance to buy cheaply.
  • The percentage retracement depends on how keen Traders 1,2 and 3 are to buy.

In this way, Gann used his techniques to estimate where the most likely (and the most powerful) support and resistance levels would be in the future. Although the infinite nature of the FX market makes it fundamentally different to stocks and commodities, it is plain to see that the above scenario could just as easily have been applied to the USD/EUR market, for example. Thus, it is fair to say that Gann's techniques are valid when applied to the FX market, although there will always be sceptics who are not soʻsure!

Trading Philosophy

Gann's belief in support and resistance was the backbone of his analyses, but he appreciated that price moves were very seldom exact. The momentum which took prices slightly beyond their likely goals he called 'lost motion' and his philosophy was based on 'targets' or 'target ranges' around his lines of support and resistance. In conclusion, if asked how best to use his analyses, his advice would be 'Conserve your capital and wait for the right opportunity'.

1.5.2 Fibonacci

History of the Fibonacci Sequence

Although use of the Fibonacci series can be found in such ancient monuments as the Parthenon in Greece and the Great Pyramid at Giza, it was only formalised in 1202AD in a book by Leonardo of Pisa, writing as Fibonacci called Liber Abace ('Book of Calculations').

This book actually introduced the Arabic (i.e. Base ten positional) numbering system to Europe, an achievement that made Fibonacci the greatest mathematician of the Middle Ages. He also noted the solution to the trivial 'rabbit' problem (detailed below), that the mathematician Lucas dubbed the 'Fibonacci Sequence' in the late nineteenth century.

The problem was this: How many pairs of rabbits could one pair produce, assuming that this initial pair can reproduce in their first month, but subsequent pairs can only reproduce from their second month onwards?

The answer produces this basic sequence:

1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, ...

Mathematical properties of the sequence

The sequence has four principal properties 

These properties provide us with the most important Fibonacci ratios, 1.618 (the Golden Ratio) plus 0.6180.382 and 0.236.

These ratios display interesting properties.

The Golden Ratio

The Golden Ratio is of fundamental importance to geometry and is best shown with the aid of a diagram.

This forms the basis of the construction of a Golden Rectangle, where the sides are in the Golden Ratio to each other. This rectangle can be split into a square and another Golden Rectangle, which can be similarly split, forming an infinite number of squares/rectangles: this then becomes a Golden Spiral, as shown below.

This spiral is logarithmic, and so has two fundamental properties. It is infinite, and it retains the same shape. These spirals appear in the human body (e.g. In the inner ear), in nature (e.g. The distribution of seeds in a sunflower) and, on the largest scale of all, the universe. (Each arm of a galactic spiral is logarithmic).

The sequence permeates the sciences, most noticeably in the newer disciplines of Chaos Theory and fractional geometry (fractals).

Practical applications for Technical Analysis


The theoretical basis for using the sequence in analysing markets is the fact that the markets display typical crowd behaviour. Self-organisation, irrational (emotional) behaviour, short time horizons and dynamic growth to name but a few.


These characteristics allow us to estimate the behaviour of the markets from their past behaviour and it has been found that the Fibonacci ratios are highly useful in achieving this.


It is worth pointing out that it is not the Fibonacci numbers that are important, but the ratios. These ratios appear with great regularity in dynamic systems such as the financial markets. These ratios can be applied in two dimensions: price and time.

a) Price

The ratios 0.236, 0.382 and 0.618 play a fundamental role in the determination of retracement levels. The TraderMade Fibonacci retracement system calculates levels at 23.6% , 38.2% , 50%, 61.8% and 100%. (Note the close correspondence with Gann's retracement levels at 25%, 33%, 50%, 66% and 100%). These retracement lines form support levels during the growth of an uptrend, and resistance after a trend reversal as the markets react with typical crowd behaviour. Price ratios also play an important part in Elliot Wave Theory in determining the extent of individual waves (and thus reversal points).

b) Time

The calculation of time cycles is a vast and rapidly growing subject. It forms the basis (along with price ratios) of Elliot Wave Theory and is used in, for example, Carolan's Spiral Calendar.

The underlying concept of time cycle theories is that prices move in cycles of varying magnitude, with smaller cycles going on to make larger cycles, and that cycles interact (either augmenting or diminishing each other).

The key in these methods is to determine exactly where the market is in relation to these cycles. Once this is known, then the timing (and size/nature) of positions becomes much easier to decide.


1.6 Speedlines and Fans

The speedline technique combines percentage retracements and trend lines.

Drawing a speedline

a) In an uptrend - Find the highest point in the current uptrend.

  • Draw a vertical line down from that point to the level at which the trend began.
  • Divide this vertical line into thirds.
  • Draw two trend lines from the beginning of the trend through the one-third and two-third points on the vertical line.

b) In a downtrend the reverse process is applied. A vertical line is drawn upwards from the lowest point to the level where the trend began, is divided into thirds and the same process is applied.

  • Note that each time a new high (in an uptrend) or new low (in a downtrend) is achieved, a new set of lines must be drawn.
  • Well known variations of the speedlines technique just described are:

  1. Fibonacci Fan lines. These lines are drawn in exactly the same way as speedlines except that the vertical line is divided at the 23.6%, 38.2%, 50% and 61.8% levels.
  2. Gann Fan lines. Again drawn the same way as speedlines, but this time the vertical line is divided at 25%, 33%, 50%, 66% and 100%.


The theory behind the speedlines approach is similar to the percentage retracement technique.

If an uptrend is in the process of correcting itself, the downside correction will usually stop at the higher speedline (2/3). If not, then the price will probably drop to the lower speedline (1/3). If this line is also broken, then the price will probably retrace back to the level at which the previous trend began. (i.e. The lines act as support during market corrections, but when they are broken, they revert to resistance lines on bounces.)

Combining Retracements and Speedlines

The speedlines (and fans) and percentage retracement techniques seem even more effective when used together.

Coincidence and therefore confirmation of support and resistance levels obtained on a chart by the use of the two methods gives price levels of greater weight. For instance, a price decline to the 50% retracement line and the 2/3 speedline at the same time should represent an excellent support level.


The breaking of such a confirmed support level as this would give more emphasis to the warning of a possible trend reversal.

Chapter 2: Pattern Recognition

2.1 Introduction

We know already that markets move in trends with peaks and troughs in their price movements. The next step is to use these price actions to give more clues as to how the market may move in the future. This is done by identifying recognisable patterns within the price movements, which can then be used to generate price objectives for potential future moves.

2.2 Reversal Patterns

2.2.1 Head and Shoulders

A head and shoulders top is made up of left and right shoulders (A and E), and a head (C) being higher than either shoulder. The 'neckline' is drawn through the two reaction lows (B and D) and the pattern can only be confirmed as a head and shoulders after a close below this neckline. Quite often the price will return to test the neckline (at G), but for the pattern to be valid it should never re-cross this line. The minimum price objective is then the vertical distance (x) from the top of the head to the neckline, projected downward from the point at which the neckline was broken. Note that a prerequisite for a head and shoulders top is a prior uptrend . This pattern can also be seen inverted at the end of a downtrend, in which case it is called an inverse head and shoulders .

2.2.2 Double tops and bottoms.

A double top has two peaks (A and C) at roughly the same level, with a reaction low (at B). As for the head and shoulders, the price objective is the vertical distance (x) projected downwards from the breakout point. This pattern can also be seen inverted at market bottoms.

2.2.3 Triple tops and bottoms.

A triple top has three peaks (A, C and E) at roughly the same level, with two reaction lows (B and D). As with head and shoulders and double tops and bottoms, a prior uptrend is essential. Triple tops have the same price objective calculations and often have a return move (at G). They can be seen inverted as a triple bottom.

2.3 Continuation Patterns

Continuation patterns tell us that a sideways movement on a chart may be just a pause in the prevailing (longer-term) trend, after which prices will continue to move in the same direction as before. As for reversal patterns, we can define minimum price objectives at a fairly early stage to

give us time to profit from the expected future move.

2.3.1 Flags and pennants

Flags and pennants are generally short-term patterns, lasting for anything from a few minutes to a few days (max. 2 weeks). They are formed when a very sharp advance (or decline) stops to consolidate before continuing its move with a further sharp advance (or decline). Both patterns have the same price implications despite their different shapes - i.e. the initial move (x) should be projected vertically from the breakout point of the flag or pennant to give a Minimum Price Objective. Note that these patterns may occasionally repeat themselves within the same fast move, in which case, each occurrence of the pattern will generally be separated by a similar vertical distance.

2.3.2 Triangles

There are three types of triangle - symmetrical, ascending and descending. They appear here under the title 'Continuation Patterns', but they are notoriously badly behaved, and can sometimes be seen as a Reversal Pattern. This should not be a problem because they are not traded until the break out occurs.

A triangle is simply two converging lines (A,C,E and B,D,F in the diagram below). We know already that it takes two points to draw a trendline, but a third point to confirm it. The lines drawn on triangles are not true trendlines and are guide lines for measurement and the signal of the breakout. It is possible to form a triangle from just four points, but the more touches there are the stronger the pattern. There are other rules to note when dealing with triangles:

  1. The vertical height of the triangle, x, projected down from point A to the lower trendline is called the 'base'. In a downtrend, the point A would obviously be on the lower line, but the calculation of the base is the same.

  2. The price should break out of the pattern between a half and three-quarters of the way along from the base to the apex (H). A breakout before halfway means that the triangle has barely had time to take shape and should not be trusted. If the price is still within the triangle beyond the three-quarters point, then there is more likelihood that the price will simply continue to drift sideways and lose it's shape nullifying the measuring properties of the pattern.

  3. Regarding measuring implications, the minimum price objective for a triangle is the vertical height of the base, X, projected vertically from the breakout point in the direction of the break. However, more a cautious MPO would be the height between B and the upper line.

  4. Triangles are generally medium to long-term patterns, typically lasting for 1-3 months (although they can occasionally be seen over longer or shorter periods). iv)

a) Symmetrical triangle

A symmetrical triangle is created when the sideways price movement narrows to form a triangle pattern. Guide lines can be drawn (A,C,E and B,D,F) to converge in the future, with one of them sloping upward and one down. Of the three types of triangle mentioned here, this is the most likely to breakout on the wrong side, as the buyers and sellers are both prepared to accept a worse price as the pattern evolves. (See below for further explanation).

b) Ascending triangle Technical Analysis Ascending Triangle

Ascending triangles are, more often than not, bullish patterns . They have a horizontal upper line (see above A,C,E) and an up-sloping lower line (B,D,F). The up sloping line is created by dealers being prepared to pay a slightly higher price each time the price declines (i.e. the buying pressure is increasing). The flat upper line is telling us that the sellers at A, C and E have been prepared to wait for the price to rise before selling (i.e. The selling pressure is not increasing).

With buying pressure increasing and selling pressure remaining the same it therefore makes sense for the price to breakout on the upside, and a return move back to G is also quite common before the price moves off towards the minimum price objective.

c) Descending triangle Technical Analysis Ascending triangle

Descending triangles are the exact opposite of ascending triangles, and are therefore mostly bearish. The measuring implications are the same as for the others, as are the duration (generally 1-3 months) and time limits for the breakout (one-half to three-quarters of the way from the base to the apex).

Chapter 3: Moving Averages

3.1 Introduction

Prices can only move in three directions - up, down or sideways. The direction determines the trend, which is the most fundamental concept in technical analysis. The purpose of all the tools used by technical traders is to identify and evaluate the trend. A flat market may be referred to as being in a sideways trend, or trendless. Prices do not move in straight lines, but pass through a series of peaks and troughs. The purpose of most technical tools is to smooth out some of the "noise" that occurs in the market so that the underlying trend is more easily viewed. The most widely used technical tool for this purpose is the moving average.

It must be noted at an early stage, however, that all moving average systems work best in 'trending' markets. You will see that using moving averages in a trendless market is one of the quickest ways to lose money, so beware! (There are other tools that are designed for use in sideways trending markets, which can be seen in later chapters). Questions to be answered before using moving averages: a) What type of Standard Moving Average 

Moving Average, Weighted Moving Average

All three are explained below. should I use? Exponential Moving Average b) What price There are many choices. High, low, open, close or typical (which is during the day (high+low+close)/3), or another value such as the day's midpoint value, etc. should I use? However, by far the most popular value is the closing price, as it is considered to be the most significant price of the day. c) What degree of Sensitivity can range from being very 'fast' (i.e. 2 or 3 days) to very 'slow' sensitivity do (i.e. 200 days). require? 

Using a fast moving Using a slow moving average: average: 

+ They give a better view of the general trend. + Trading signals are + They are suitable for use in long-trending given early in the markets. move. 

+ They do not get caught in small corrections in + Signals may be given long trends. against the trend. - They track the trend from a greater distance, 

- Some false signals hence giving trading signals later. may be generated by - They are unsuitable in trendless markets, as market 'noise'. 

the price whipsaws around the line. The more sensitive the

moving average, the earlier the signals and the greater the possibility of false signals or being “whipsawed". The less sensitive the moving average the later the signals to get both in and out of a position. The best moving average to use would be the one that is sensitive enough to give early signals, but insensitive enough to avoid most of the "noise" signals. Easier said than done! d) Where on the Most technical traders place the latest moving average value on the last price chart price value. Others prefer to shift (or 'displace') the moving average. should the This will cause the Moving Average to lead the market or to lag the market moving average even further. Centring of the moving average (placed in the middle of the is positioned? period covered) is a statistically correct method for placing the moving average, although this is mostly used to isolate underlying cycles. 

3.2 Types of Moving Average

3.2.1 Standard

For an 'n' day moving average, simply add up the last 'n' prices and divide by 'n'

Technical Analysis Standard Moving Average

Where P5 is the most recent price. Notes: The same weight is given to each price.

Only the prices in the period covered are taken into account.

3.2.2 Linearly Weighted

This is the most sensitive (or 'fastest') moving average system of the three described here, as greater weight is given to more recent prices.

Technical Analysis Linearly Weighted Moving Average

Where P5 is the most recent price. Notes: Greater weight is given to the more recent prices.

Only the prices in the period covered are taken into account.

3.2.3 Exponential

For an 'n' days moving average,

Technical Analysis Moving Average

Where 2 / n+1 is called the exponential constant. Notes: Greater weight is given to the more recent prices 

All previous prices are taken into account in its calculation. 

3.3 Trading Systems

3.3.1 One Moving Average

The moving average is drawn on a price chart. Buy signals are generated when the price moves above the moving average, and conversely, sell signals are given when the price moves below the moving average. 

To avoid most of the false signals when using a single moving average, some traders wait for a signal to be confirmed - by using candle chart analysis, or looking for the break of a trendline, for example. Others impose time or price filters (as we saw with support and resistance studies) on their moving average signals.


  • The moving average and price line must have the same direction. 
  • The entire day's price range must confirm the signal.
  • The signal must be confirmed by a different signal (e.g. Channel breakout). 

Price filters. The price must penetrate the moving average by a certain predetermined percentage of the current price or by an absolute price value (set by the user).

Example 1: Percentage envelopes. Parallel lines are drawn at a certain percentage above and below the moving average. Then, to generate a sell signal, the price has to close not only below the moving average but also below the lower envelope line. Then a close above the moving average itself leads to the liquidation of the position. A buffer 'neutral zone' is created between each of the percentage envelopes and the moving average, within which no action is taken.

Example 2: High-Low band. Identical moving averages are applied to the highs and the lows of each day. A buy signal is generated when the price crosses above the higher line and then the lower line is used to generate the stop out point. Conversely, a sell signal is generated when the price crosses below the lower line, and the upper line then becomes the stop out point. 

The same comments can be made on the filter's choice as on the choice of the moving average's duration. If the filter is not effective enough, it is not much use in reducing the false signals, but if it is too effective, then an important part of a price movement will be missed before a signal is triggered. The dealer has to determine which filter is the most appropriate to the market. 

Time filters. The user delays for 'n' (usually 2 or 3) days before taking any action. (i.e. The signal must remain in force for more than one day). In this way, a lot of false signals are avoided, but there is the inevitable disadvantage of later entry into good trades

Sometimes a short moving average will work better than a longer moving average and vice versa. Thus, the use of one moving average may not always give the best results, necessitating the use of filters. Therefore, to improve the reliability of this method, most technical traders prefer to use two or three moving average systems.

3.3.2 Two Moving Averages

When using two moving averages, the long one is used for trend identification and the short one as a timing technique. Different rules may be used: 

1) A buy signal is given when the short moving average crosses upwards through the longer one, and a sell signal is given when the short moving average crosses downwards through the longer one. E.g. If a 5-day and 20-day combination is used, a buy signal is given when the 5-day moves above the 20-day, and vice versa for a sell signal. In this approach, the system is continuous, meaning that it is in the market (long or short) all the time. It gives: 

    + Less false signals than using one moving average, but

   - More lagging than using one moving average. 

2) A buy signal occurs when the price moves above both moving averages and a close out signal is given when the price moves below either moving average. (Vice versa for a sell signal). In this approach, the system is not always in the market. A neutral zone is created where no position is taken or kept. Some traders also wait for a confirmation - i.e. Buy signals are only acted upon when the shorter moving average crosses above the longer moving average AND when the latter is itself increasing; sell signals are given when the shorter moving average crosses below the longer one AND when the latter is itself decreasing.

3.3.3 Three Moving Averages

For the three moving average systems, different techniques may be used to calculate the signals. As for the two moving average systems, we can classify these systems into two categories with respect to their presence in the market. Continuous systems and non-continuous systems.

  1. Continuous systems. A buy signal occurs when the shorter moving average crosses above the longer one, and a sell signal occurs when the shorter one crosses below the longer. b) Non-continuous systems. A neutral zone is created when the shortest moving average crosses one of the other two. The trigger signal is the crossing of the shortest with the third one.

  2. Non-continuous systems. A neutral zone is created when the shortest moving average crosses one of the other two. The trigger signal is the crossing of the shortest with the third one.

  3. Triple cross-over method. As stated before, the shorter the moving average, the closer it follows the trend. For a three moving average system, M1, M2 and M3 (with M1 being the shortest and M3 the longest), in an uptrend, the proper alignment should be M1 above M2 above M3 (M1>M2>M3), while in a downtrend, the respective values should be M1 . (i.e. A sell signal is given at the moment the situation M1 occurs). When the uptrend reverses, the first thing that should happen is that the shortest one (M1) crosses below the other two - this is a selling alert. When M2 crosses below M3, the signal is triggered. However, these rules can be adapted by the user, and some dealers use the first crossing to start liquidating their long positions.

Chapter 4: Oscillators

4.1 Introduction

Moving averages, trendlines and channels are technical tools that are essentially trend following (i.e. They may be optimised to identify new trends as soon as possible but will always give the signal after the trend reversal has taken place).

However, oscillators may be used to warn of a trend reversal before the prices reach the actual top or bottom (deceleration of the price increase/decrease). Especially valuable towards the end of market moves, they may signal that a trend is close to its final stage by showing divergence.

When used in conjunction with price charts during trending phases, they indicate:

  1. Overbought & Oversold situations (ie. Short-term market extremes, where the price has moved too far, too fast').

  2. Divergence situations. Usually the oscillator and the price lines have parallel paths, but when their paths diverge - when the oscillator is in an extreme position (i.e. > 100% or < 25% - it is usually a warning that a trend reversal is imminent. There are two different kinds of divergence:

    - The price is rising & the oscillator falling.

    - The price is falling & the oscillator rising.

  3. The crossing of the 'zero line' may be used for generating trading signals, in the direction of the existing trend:

    a) Buy when the values turn from negative values to positive values (or depending on the formula used, from values < 50% to values > 50%), in an uptrend.

    b) Sell when the values turn from positive values to negative values (or from values > 50% to values < 50%), in a downtrend.

4.2 Types of oscillators

Oscillators are indicators of
a) Overbought or Oversold situations

b) Divergence situations

Some measure the rate of change of prices to indicate if the existing trend is accelerating or decelerating (i.e. The market move is coming to an end).

Momentum & Rate Of Change:
acceleration/deceleration, overbought/oversold.
Moving Averages:

acceleration/deceleration, overbought/oversold, trading 


Relative Strength Index:
overbought/oversold, divergence.
Stochastics & Slow Stochastics:
overbought/oversold, divergence, trading signals.
Larry Williams:

4.2.1 Momentum & Rate Of Change

We can deal with these two oscillators simultaneously because their interpretation is similar. Both give a measure of the rate of ascent or descent of the price. (i.e. The acceleration or deceleration of the trend). There are 3 scenarios for an uptrend (and 3 for a downtrend - in brackets):

a) When the price is rising (falling) and the oscillator is above (below) the 'zero line', with a positive (negative) angular coefficient, the uptrend (downtrend) is accelerating.

b) When the price is still rising (falling) and the momentum line is above (below) the 'zero line' but the angular coefficient tends toward zero, the rate of ascent (descent) is levelling off. c) When the price is still rising (falling) and the momentum line is above (below) the 'zero line' but the momentum's angular coefficient has turned to a negative (positive) value, the price line and the momentum line start to move in opposite directions. This situation is known as a divergence.



For example, if P is today's closing price and n=10, then the 10-day momentum is the difference between the today's closing price and the closing price 10 days ago.

For example, if P is today's closing price and n=10, then the 10-day ROC is simply today's closing price divided by the closing price 10 days ago.

Notice that in this case the 'zero line' is actually the 'one line'. Note also that some analysts like to multiply the result by 100 (to give a more easily readable value), giving a '100 line'.

The lines obtained by either method look very similar and are interpreted the same way:

Some technicians for generating trading signals use the crossing of the 'zero line' or the ‘one line' se of the ROC, but momentum signals have to be co-ordinated with the existing trend. The crossing of the 'zero (one) line' should be taken as a selling signal only in a downtrend.

4.2.2 Moving Averages & MACD

These oscillators measure the trend acceleration or deceleration. As the speed of the price move accelerates, the moving average line will also accelerate (although it will be lagging behind).

It is calculated by plotting the difference between a short-term moving average (Ms) and a longer term one (MI). What happens is that MI is 'flattened out' to become the 'zero line' of the oscillator, and Ms then oscillates around this line as the difference between the two values varies. Presenting the data in this form has the advantage of highlighting the classic trading signals of a two moving average system (crossing of the 'zero line')

Overbought (or oversold) situations are spotted when the short-term moving average moves too far above (or below) the long-term moving average (i.e. The 'zero line'). This short term variation from the long term trend usually announces a pause in the market until the shorter-term moving average moves back towards the long-term one.

Trading Signals

a) If Ms approaches Ml but bounces off it, then this usually represents a good buy (sell) area in an uptrend (downtrend). (i.e. The trend is accelerating again after a pause).

b) If, however, Ms approaches Ml and crosses it, then this signals a trend reversal.

MACD (Moving Average Convergence/Divergence)

MACD is an extension of the Ms, MI oscillator system above, except that in this case both Ms and MI are exponential averages. Once the Ms, MI oscillator has been drawn, the MACD ('signal line') can be plotted by calculating the exponential moving average of the difference between Ms and MI. The resulting line is called the 'Signal line'.

This gives a second line on the oscillator (making a total of 3 if we include the MI 'zero line'), which lags behind Ms. For convenience, we will call this MACD line 'Mm'.

Trading Signals

a) A buy (sell) signal is generated when Ms crosses above (below) Mm.

b) Divergences can also be found, although the buy or sell signal is only confirmed once the 'zero line' is crossed by both Ms and Mm.

c) Trend lines can also be drawn on the oscillator, so that a break of a trendline on the actual oscillator, for example, could warn of a trend reversal before the price breaks its equivalent trendline.

4.2.3 Relative Strength Index (RSI)

A simple observation made here is that, in an uptrend, each closing price is likely to be higher than the previous one, and in a downtrend, each closing price is likely to be lower than the previous one. The official definition of relative strength index is:


where RS is the ratio of the number of points gained (close-to-close) on each 'up day' to the number of points lost (close-to-close) on each 'down day', during the past 'n' days.

A simpler way of looking at this can be derived by rearranging the above formula to give:


Compared to the previous oscillators (Momentum, ROC, Moving Average and MACD) the RSI may be called a 'smoothed' oscillator because, for example, even if the price is currently very stable, the momentum or ROC line can still show erratic movements if there has been a sharp price movement 'n' events ago.

As mentioned above, one of the advantages of oscillator analysis is to point out short-term market extremes. For this purpose, the constant 0 to 100% RSI scale is very useful in order to compare different situations, and it gives the possibility of identifying 'danger zones' corresponding to overbought and oversold situations. Generally, an RSI value above 100% indicates an overbought situation whilst a value below 25% indicates oversold. However, the user should be flexible here, as 80% & 20% seem to be more appropriate in strong trending markets, while values 70% & 30% may be used in 'trading' markets.

The oscillator's first move into the overbought area (oversold for a downtrend) should only be considered as a warning. Indeed, any strong trend produces extreme values for the RSI, and in strong markets the oscillator line may remain in an extreme zone for some time.


A possibility of a divergence situation exists:

a) When the oscillator moves for a second time into the extreme zone.

b) When this second move fails to confirm the price move into new highs (or lows), forming a double top (or bottom) on the oscillator.

The second (or third!) time the oscillator moves into the extreme zone and diverges from the price line, the boundaries of the extreme zone may be used to generate trading signals. Long positions should be liquidated when the oscillator is above the 100% line, and a crossing back under this 100% line can then be used as a sell signal. The same applies to short positions around the 25% zone.

NB : Caution is urged when trading on these signals, as the oscillator may enter the extreme zone .e. You may have sold as the RSI crossed below the 100% line for the 2nd time, but it is possible that the price may then recover to make an even higher high (after only a small decline) as the RSI re-enters the overbought zone. It is therefore advisable to seek confirmation from other tools to avoid potential bad trades.

4.2.4 Stochastics & Slow Stochastics

These oscillators are based on two fairly straightforward observations. In an uptrend, today's closing price is likely to be close to the highest value recorded over the last few days. Conversely, in a downtrend, today's closing price is likely to be close to the lowest value recorded over the last few days. As with all oscillators, the exact number of days (parameter) is set by the user. Unlike the RSI, the stochastic oscillator uses two lines:

The Percentage Alert line: %K (sometimes called %A), and The Percent Definite line: %D.

The formulae used to determine both lines are given using a popular parameter set: 5 and 3 days.

Percent Alert

%K represents a measure (on a percentage basis) of the last closing price within the price range of a chosen period (here 5 days):


Where C is today's close, L5 is the lowest low during the last 5 days, and H5 is the highest high during the last 5 days.

A closing price near or equal to the top of the price range will give a high value to the %K line, while a close near or equal to the bottom of the price range will give a low reading.

Percent Definite

%D is in this case) a three day 'moving average' of %K such that:

Where h3 is the 3-day sum of (C - L5), and * 13 is the 3-day sum of (H5 - L5).

The same 100% and 25% values are used to identify overbought and oversold situations. Divergences are used the same way as with the RSI. The signal to watch for is a divergence between the %D line and the underlying price when the %D line is in the overbought (or oversold) zone. Divergence should always be confirmed by a break of a trendline. When confirmation is given this signal is usually very strong and accurate.

Slow Stochastics

A slower version of the two lines seemed to be preferred. In this version, the %K line is dropped and a new line is plotted which is the %Dn line. This is a moving average of the %D line. The Slow Stochastic gives a smoother view of market movements and removes many false signals.

Chapter 5: Parabolic and Weekly Rules

5.1 Parabolic

This is a trend following, a mechanical trading system developed by J. W. Wilder. The name was derived from the pattern formed by the stops. The system is a true reversal system, each point on the line plotted is a reversal point (SAR). If the market reaches the SAR point a signal to reverse the position is given. This initiates a new position.

Each day the SAR for the following day is calculated using either of 2 formulas:


The SAR moves only in the direction in which the trade has been initiated.If long, the stop will move up every day; if short, the stop will move down (regardless of the direction the price has been moving).

The amount by which the stop moves up or down is a function of:

  • a) Extreme Point (EP) = the most favourable price reached since the trade was initiated.(i.e. The highest high when long, or the lowest low when short).
  • b) Acceleration Factor (AF). The AF value starts at 0.02 and is increased by 0.02 each time a new EP for the trade is made until it reaches 0.2

When a new trade is initiated, the initial SAR is the previous trade's EP, allowing time for the trend to materialise. If the trend fails to materialise, then the system is stopped and the position reversed.

Three situations are encountered during a trend period and usually occur in the following order:

  • a) Both the values of EP and AF increase. Every time a new EP is reached for the trade, AF is increased by 0.02 - As the AF increases, the SAR curve begins to move faster towards the price.
  • b) The EP value increases and AF has reached its maximum value of 0.2 - The SAR is then a function of price only.
  • c) The values of both EP and AF are constant. No new EP (no higher high or lower low) is made for the trade (AF value is not increased). The trend falters and the result is usually that the SAR curve catches up with the price action.

The Parabolic is a sensitive system reacting to relatively minor market moves, which implies that it gets whipsawed during sideways, non-trending periods. To reduce the number of whipsaws, one possible solution is to use Wilder's Directional Movement Index as a filter and to follow only those signals which are in the same direction as the DMI lines. (See later Chapter).

5.1.1 Using the Parabolic

A position is taken when a price penetrates a SAR (or any time provided that it is taken in the direction of the existing trend). If Long, the EP = highest high made during this trade.

Then, every time today's high is higher than the previous EP, the acceleration factor is increased by .02 until AF = 0.2. Note that the calculated SAR must be < today's and yesterday's low - If not, the lower of these two lows is used for tomorrow's SAR.

If Short, the EP = lowest low made during this trade.

Then every time the low for today is lower than the previous EP, the AF is increased by 0.02 until AF = 0.2. Note here that the SAR calculated for tomorrow must be > today's and yesterday's high - If not, the higher of these two highs is used for tomorrow's SAR.

At the closing of the market, tomorrow's SAR is calculated using the above formula with today's values for EP and SAR, the acceleration factor being given the appropriate value.

If during the day (SARn) the signal is triggered (i.e. The SAR value has been penetrated), then the position is reversed and the SAR for the next day (= SAR(n+1)] is calculated with:

  • SARn = Extreme point reached while in the previous trade MA (= Highest high, if the position is reversed from long to short, or = Lowest low, if the position is reversed from short to long).
  • EPn = HIGHn (if reversed to long) or LOWn (if reversed to short)
  • AF = 0.02

5.2 Weekly Rule

The Four-Week Rule (or Donchian Rule) is a very simple trend-following mechanical system, which is continuous by nature. (i.e. It is always in the market, either long or short). It is a channel breakout system in which the previous twenty days (i.e. Four full calendar weeks) are examined and the system goes (or stays) either:

  • a) Long - When the price exceeds the highs of the four preceding weeks, or
  • b) Short - When the price falls below the lows of the four preceding weeks.

Practical Approach

Count back twenty days and find the highest high and the lowest low in that period. These two points define a channel parallel to the x-axis. If today's action is:

  • a) Above the upper value, then short positions are liquidated and long positions are taken (or kept).
  • b) Below the lower value, then long positions are liquidated and short positions are taken (or kept).
  • c) Within the channel, then the current position is maintained.

Note: If both parts of the channel are penetrated in one day, then only the first signal is taken.


This model can be modified by using a different time period.

  • a) Shortening the period leads to a more sensitive system, which may therefore get caught up in minor corrections (signalling trades against the prevailing trend), but it will be better when the trend is in the process of reversal.
  • b) Expanding the period suits a 'trading' (sideways) market better, as no signals will be generated until an important trend signal is given. The original system can also be modified to make it non-continuous. In this case, a four-week rule is used to initiate a new position, but only a one or two-week rule is used to liquidate the position.

There are three different variations on the original model whose adjustable parameters are as follows:

  • a) The prices which define the channel (giving buy and sell signals); either the highest and lowest close , or the highest high and the lowest low over the period chosen
  • b) The price on which the signal is executed: either the close, or action is initiated on penetration (i.e. Stop orders are used).

The length of the 'weekly rule' can be adjusted, and the three models are continuous systems.

  • 1. Intra-day Close. The highest and lowest closes of the last 'n' days are found: (CHN & CLn). Then, buy if the price on the day (n+1) > CHn, sell if the price on day (n+1) < CLn, or keep the current position if the price remains within the channel's limits.
  • 2. Inter-day Close. This model operates under the same assumptions as the Intra-day close model, except that the signal is executed on the daily close.
  • 3. Intra-day Extreme Price. This model also operates under the same assumptions as the Intra-day Close model, except that the high value of the channel is the highest high, and the low value is the lowest low of the last 'n' days. This last model is the original Donchian rule with n = 20 days.

Chapter 6: Wilder's Directional Movement Index (DMI)

6.1 Introduction

Technical trading systems such as moving average systems give high returns in 'trending' markets. On the other hand, non-trending systems (such as oscillators) may be used in 'trading' markets. If a trend-following method is used, the instruments, which are in directional markets, should be traded and it would therefore be interesting to determine if a currency is trending before following the buy and sell signals. To determine whether or not a market is 'trending' Wilder's Directional Movement Index (DMI) has been developed to identify a trending market and to provide an indication of the extent of this trend.

The DMI consists of two lines +Dlp and -Dlp, the first one being a measure of uptrend and the second one a measure of downtrend.

A third line, ADX (Average Directional Movement Index) is an indicator of how much the market is trending (either up or down). The higher the ADX line, the more the market is trending and the more suitable it becomes for a trend-following system.

Wilder's ADX line rates the directional movement on a scale of 0 to 100%. The higher the ADXR line value, the more trending the market. When the ADXR line is below 25%, it indicates a 'trading' market (which is not suitable for trend-following systems). Non-trending systems, however, such as oscillators or support and resistance lines could be used.

Directional Movement lines may be used as a system on their own or as a filter on a trend following system. The crossing of the two lines generates buy and sell signals. Buy when +Dlp crosses above -Dlp, and sell when -Dlp crosses above +Dlp.

6.2 Calculating DMI

6.2.1 Directional Movement (DM)

The basic statement is that the trend is defined as a directional movement. The increment of directional movement, +DM/-DM, is defined as the largest part of today's range that is outside yesterday's range.

If the largest part of today's range is above/below yesterday's range, the +DM/-DM will be incremented (Directional Movement must be either up or down).

The second step is then to relate this Directional Movement to the price range.

6.2.2 Today's True Range (TR1)

  • a) D1 = 1H(n+1) - L(n+1)| (The distance between today's high & low)
  • b) D2 = |H(n+1) - Cn (The distance between today's high & yesterday's close)
  • c) D3 = |L(n+1) - Cn| (The distance between today's low & yesterday's close)

6.2.3 Directional Indicator (DI)

To make directional movement relative to the range, Directional Movement is divided by the True Range. For one day (today is either up or down):

  • On up days, (+D11) = (+DM1) / TR1 (= percentage of the True Range that is up), and
  • on down days, (-D11) = (-DM1)/ TR1 (= percentage of the True Range that is down).

Then Dip is calculated by summing up the DM1 and the TR1 over a period 'p', so:

  • (+Dlp) = (+DMP) / TRp, and (-Dlp) = (-DMp) / TRP

Once the first Dlp has been determined, an accumulation technique is used to determine the Di's for the following days. The sum (+Dlp)+(-Dlp) is the percentage of the True Range that was directional (either up or down) over period p.

The difference (+Dlp) - (-Dlp) is the True Directional Movement. The greater the difference between (+Dlp) & (-Dlp), the more trending the movement is in a certain direction:

  • If (+Dlp) > (-Dlp), then the trend is up
  • If (+Dlp) < (-Dlp), then the trend is down
  • if (+Dlp) = (-Dlp), the trend is non-directional. (Equilibrium point).

6.2.4 Directional Movement Index (DX)

p24-2.png and has a value between 0 and 100.

The higher the DX, the more directional the movement, either up or down, so:

  • As the price is going up, (+Dlp) > (-Dip) and DX will increase
  • and
  • As the price is going down, (-Dlp) > (+Dlp) and DX will increase

Both the up move and the down move represent good directional movements.

If (+Dlp) = (-Dlp), an equilibrium point is reached and DX = 0.

When the price curve is flattening out, the difference between (+Dlp) and (-Dlp) will decrease.

(I.e. The price is moving non-directionally).

6.2.5 Average Directional Movement Index (ADX)

ADX is the 'p' moving average. of DX. The peaks and troughs of the ADX curve indicate a change of direction.

If the major trend is down, then peaks = low price points, and troughs = high price points.

If the major trend is up, then peaks = high price points, and troughs = low price points

The higher the amplitude (peaks and troughs) of the ADX curve, the more directional the movement is in one direction (either up or down). The greater the distance between the peaks and troughs of the ADX curve, the greater is the reaction to the trend.

6.2.6 Average Directional Movement Index Rating (ADXR)

ADXR is simply the ADX today plus the ADX 'p' days ago, all divided by 2.

p24-2.png and has a value between 0 and 100.

This curve is used to rate the different instruments on a directional movement scale.

6.3 DMI Systems

  • 1) A buy signal is given when +Dlp crosses over -Dlp and a sell signal is given when -Dlp crosses over +Dlp. In this approach the system is continuous in the market all the time, long or short). This system can be compared to moving averages' system, the signal being the rate for which a crossing will occur. Nevertheless, the main difference is that DMI systems are dynamic systems, the signal calculation has to take into account the daily price range.
    The ADX curve may be used as a filter on the Dlp signals:
    • a) The Dlp crossings are not taken into account when ADX is below the 25% line and the current position is kept as long as the ADX curve remains below this limit. When the ADX line crosses over the 25% line, the open position is kept or reversed, regarding the relative position of the +Dlp and -Dlp curves
    • b) The Dlp crossings are not taken into account when ADX crosses below the 25% line but the current position is closed. No position is held as long as the ADX curve remains below this limit. The system is re-entered if the ADX line crosses over the 25% line, a long (short) position being taken if +Dlp is above (below) -Dlp.
  • 2) Extreme Points System On the day the two lines cross, the extreme price made that day is used as the reverse point:
    • If the position is long, the trigger signal is the Low
    • If the position is short, the trigger signal is the High
    • If the high (low) point made on the day of crossing is not penetrated, the current short (long) position is kept.
    • If the high (low) point is penetrated, the position is reversed and the next signal will be the low (high) price made on the day the two Dlp lines cross.
      The ADX curve may be used as a filter on the signals as described above.

Chapter 7: Popular Parameters

Relative Strength Index (RSI)

J Welles Wilder, in his book "New Concepts in Technical Trading Systems", used the RSI

14 days (= One half moon cycle)
Very long-term
21 weeks
21 days (1 Month)

10 days (2 weeks), or 9 days (reacts a bit faster than the 10-day)
24 hours (or 22 hours)
15 minutes or 25 minutes (for non-volatile markets)


(Note that Slow Stochastics are more popular than Normal stochastics) Lane devised his own stochastic parameters

Chart Type
1st Number
2nd Number
3rd Number
Long-term (Daily bars)
%K = 5
%D = 3 %Dn = 3
or %K = 10
%D = 6 %Dn = 6
or %K = 15 etc.
%D = 9 etc. %Dn = 9 etc.
Medium-term (Hourly bars)
%K = 22
%D = 15 %Dn = 15
or %K = 15
%D = 14 %Dn = 14
or %K = 8
%D = 5 %Dn = 5
Short-term (10-min bars)
%K = 15
%D = 9 %Dn =9

Larry Williams, for long-term charts used %R = 10 days.

Moving Average Convergence/Divergence (MACD)

Appel devised his parameters using an optimisation on the Silver market

12, 26 and 9 days

Some variations of Appel's values are also popular for MACD

10, 20 and 10 days, (i.e. 2 weeks, 4 weeks, 2 weeks), or

10, 20 and 9 days (which gives slightly earlier signals)

Directional Movement Indicator (DMI)

Wilder's DMI : Long-term 14
14 Days
10 days
10 days
Medium-term 24 hours or 12 hours (1 day or 1/2 day)

Moving Averages

(Standard moving averages seem to be most popular)

Long-term 13, 21, 34 & 55 days (Fibonacci Numbers, with 21 = 1 monthly cycle)

5, 10, 20 & 40 days (=1 week, 2 weeks, etc.)

200 days (or 200 weeks for very long-term) Medium-term
Medium-term 18 hours
Intra-day 60 monute or 120 minute (=1 hour or 2 hour)