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1. General overview
Why Technical Analysis?
Technical analysis has a quite different approach to the estimation
of buying and selling levels compared with fundamental analysis.
Indeed, fundamental analysis, as used by bank analysts (leading
to recommendations), mainly relies on financial ratios linked
with the companys fundamentals.
Thus, ratios such as stock price on expected earnings, market
cap on turnover, debt level, will be studied
. As norms
are determined, they enable to determine the risk level associated
with an acquisition or a sale of a share. For example, a quite
common norm consists in looking mainly for stocks whose stock
price / expected earnings per share ratio stands below twenty,
which is considered as a major threshold. Similarly, a major
level for the market cap / turnover ratio stands around two.
Still, this method may lack some elements. Let us take the
case of IT stocks at the beginning of the year. Many of these
stocks reached a stock price / earnings ratio above 100 and
a cap / turnover ratio above 10. From a fundamental point of
view, how can we behave? Either we establish new ratios, specific
to the New Economy, which can take some time, either
we stay with the former ratios, which leads to avoiding some
good opportunities.
Moreover, it often appears that the stock price evolution does
not necessarily reflect actual fundamentals of the companies,
as over-reaction effects (both on the downside and on the upside)
are quite common, especially relatively to announcements.
Psychology
For its part, technical analysis comes from a simple financial
theory: at a T period of time, a stock price precisely reflects
all information available on this stock, all its history. This
is due to the fact that time is considered as continuous, as
any variation of the price determines a new level, which constitutes
a new basis for further variations. It is thus possible to use
prices evolution, on different levels, to try to determine further
likely evolutions.
Still, this identification of variations directions and extents
is not self-understanding. Indeed, it becomes quickly obvious
that psychological effects (such as threshold effects or the
behavior of individuals compared to that of institutional investors)
can actually be just as important as pure technical reflections.
Thus, opposite opinions can happen on the basis of still similar
information. This is even on this very principle that stock
prices are determined, as they reproduce a market consensus
between buyers and sellers.
Thus, technical analysis does not aim, by itself, at determining
precise reasons for stocks variations but rather at measuring
their evolution and, if possible, at determining their future
likely behavior.
This approach thus enables to take a greater account of the
psychology of operators.
Indeed, up and down markets moves are almost always following
trends, in short or longer terms. These trends are based on
the investors approach to the stocks, either pessimistic
(bear) or optimistic (bull). The optimism situation is characterized
by stock prices always higher even though the fundamentals do
not at all justify this rise. Ratios are thus increasing, which
can lead analysts to sell the stocks.
Still, this is often on such up trends that individuals slowly
convince themselves that it may be wise to buy, just as the
rise potential is significantly diminished. This observation
is an example of the 'sheep like' effect of the markets, and
thus the interest of belonging to the first beneficiaries of
movements.
Dow's
analysis
Keynes himself asserted in its main book, the Theory of employment,
interest and money (1936) that most investors and professional
speculators care less about making precise previsions in the long
term than forecasting just before the public the upcoming changes
on the conventional evaluation scale. This approach follows
initial Dows analysis, the creator of the eponymous index
and of the Wall Street Journal. Dows theory is a core aspect
of technical analysis and is worth developing.
Indeed, Dow understood among the firsts the importance of timing
and reactivity. Its model lies on the idea that, when stocks
are heading down, there will always be more aggressive and better
informed investors ready to buy stocks in prevision of the recovery
(aggressive buyers, step "a" in the graph),
while individuals are getting rid of their shares. Following
this period is the improvement of the companys results,
having investors become more attracted by the stock (accumulation,
step "b"). This amelioration phase is then likely
to put very high buying pressure on individuals, willing to
take part in what they consider an everlasting movement. This
period is for the first investors an occasion to sell (distribution,
step "c"), forecasting the upcoming reversing
These different analyses come from essential points, which need
to be clearly defined. Though every investor conceives the prices
up or down concepts, it still needs to be understood how this
expresses itself graphically and in prices.
For example, an upward trend is characterized by ever-higher
lows while a downward trend is characterized by ever-lower highs.
This approach of trends can appear trifling but it really is
essential to integrate the principles of the technical indicators
construction.
Contrary
opinion
Right in the continuation of Dows theory, Neil (1954) developed
the contrary opinion principle.
This system lies on the idea that, whenever all investors have
the same opinion at the same moment, it is very unlikely that
this opinion will materialize in facts
This is due to
the fact that, if everybody is bullish, who is left to buy?
This approach can appear extremely systematic and hazardous
but it still stands in the logical continuation of Dow.
Indeed, in the theory of this latter, the second period corresponds
to a phase of growing confidence in the stock, associated with
its acquisition by a growing number of investors. Thus, at the
beginning of the third phase, all investors, which are bullish
on the stock, have already bought it, while the first aggressive
buyers are selling. We can then wonder, who will be the
buyers enabling the stock to go on with its rise! The market
would even have a tendency to fall as the first investors get
rid of their shares
So as to estimate sensitive levels, investors use mostly opinion
polls related to professionals confidence: a very high
confidence level is likely to indicate an overbought situation,
announcing a reversing on the downside. A symmetric situation
could of course be handled on the downside.
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2.
Technical Analysis basis
Horizontal resistances and supports
The notion of supports and resistances is one of the key points
of technical analysis. It is mainly based on the idea that buying
and selling decisions are partly due, on both the individual and
market levels, to psychological reasons.
Thus, thresholds effects can be very effective. A level is considered
as a support if, every time a stock tries to break this threshold
down, the stock does not achieve that and heads back up. If
we take the example of Vivendi (cf. graph), we can see that
the stock came on the 100 EUR level several times in April and
May, therefore 100 can be considered as a support.
We also can find psychological levels on the upside, preventing
the stock from rising above certain levels: they are then called
resistances. We can for example identify a resistance in the
100 EUR area for Casino, as shown opposite.
However, these levels, once tested, can be crossed up or down
and thus get the opposite function. For example, on the Alcatel
stock, the 50 EUR was used to constitute a resistance. Still,
it was finally crossed and turned into a support.
The existence of such figures is also due to the markets memory
principle. Indeed, investors remind themselves of previous reversing
points and are thus able, when approaching these levels, to
act accordingly. These anticipations thus turn , and reinforce
the strength of the threshold, support or resistance. In the
support case, buyers are the ones recalling the previous situation
and winning, while sellers outclass buyers in the resistance
case.
Oblique resistances and supports
Though such figures are quite easily recognisable on an horizontal
level, since often corresponding to psychological or technical
thresholds, this is not the case for oblique supports and resistances,
i.e. trend lines.
Indeed, it is often possible to have oblique lines appear,
on which the stock bumps (resistance) or rebounds (support),
as shown by both graphs opposite. The predictive interest of
trend lines lies in the ability to thus determine targets on
the up and down sides and to optimise ones timing.
It is even possible to identify parallel combinations of these
lines, forming channels, heading up or down (cf. graphs). The
price thus comes bumping under the upper part of the channel
and landing on its lower part.
These trends are often extremely strong and express the memory
of markets, as channels can be valid simultaneously on the short
and long terms. The power of these trends explains that, whenever
they come to an end (we say that the channel is broken,
often down for an upward channel and up for a downward channel),
a strong volatility occurs, which can lead the stock to enter
a reverse trend. This situation can be preceded by the evolution
of the stock in intermediary zones or channels of the channel,
thus suggesting that the tendency is about to be invalidated
(cf. graph).
Though it is quite difficult, when there are no obvious signs
(horizontal resistance, intermediary channel,
), to forecast
the moment the price will exit the channel, it is still possible
to estimate the extent of the following move. The occurring
principle is simple: just move the channel width where the price
exited the channel in the exit direction.
Channels can also be found in a horizontal configuration; then
they are called range. These figures indicate a
little enthusiastic market concerning the variation direction
of the stock or the index.
This latter is then evolving around a horizontal mid level.
Whenever these ranges are broken (and it is then less obvious
to determine the new direction compared to the case of a tendency
channel), the target is defined as other channels, by moving
the channel width at the exit point in the direction the stock
took.
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3. Figures
Consolidation figures
Symmetric triangles
Apart from channels, it is important to notice that trend line
associations are not necessarily parallel. It is possible to
have other significant figures appear, the most common being
triangles. These do not constitute trend figures, but consolidation
ones.
Symmetric triangle figures (cf. graph below) are the most frequently
used. They are formed by a downward resistance line and an upward
support line. The spot price thus comes bumping against the
upper line and landing on the lower line, in smaller and smaller
moves due to the crossing of both trend lines. The more often
the price comes on both lines, the more valid the figure is
(the minimum being of course two impacts so as to determine
the lines orientation).
This figure is quite common in the case of long term trends.
That is, the exit direction when the figure is broken is in
the continuation of the entry direction. This exit normally
occurs before the top of the triangle, usually near three quarters
of its length (measured from the impact on the second trend
line). The form of the figure itself, getting narrower, explains
that the power accumulated by the stock suddenly
appears at the end of the figure, the share moving considerably,
often with much higher volumes.
With this formation too, it is possible to determine targets.
Indeed, it is often standing, in the case of an upward consolidation,
on the parallel line to the support line going through the first
impact point (resistance line). Another target corresponds to
the triangle height used at the exit point. In both cases, this
level has to be reached before the date corresponding to the
top of the triangle (cf. graph)

Flag
Another consolidation form exists, under the form of a channel,
called flag. It corresponds to a slightly decreasing channel
(in the case of an upward trend) or a slightly increasing channel
(in the case of a downward trend). In terms of targets, this
figure often occurs in the middle of a trend, which means that
one can move the height of the segment preceding the flag to
the exit of the figure.
Formal figures
Double tops and double bottoms
The preceding figures are all related to trend lines so as
to delimit them. Still, other figures exist, called formal figures,
which are defined by their sole appearance.
They then are reversal figures: the stock trend is reversing
on these levels. The most significant of these figures is the
double top (on the upside) and the double bottom (on the downside).
As shown below, these formations correspond to two consecutive
tops (or bottoms).
These figures are often characterized by lower volumes during
the second extreme, showing the decreasing interest of investors
and the expectation of a trend reversal.
In terms of target, it can be found by moving the height of
the double top (or bottom) figure itself at the level of the
end of the figure (cf. graph).
Head-and-shoulders
From this figure head-and-shoulders is derived. This expression
comes from the form of the figure, showing three consecutive
tops, the first one and the third one being of the same height
while the second one is higher (cf. graph).
The main element of this figure is what is called neckline,
corresponding to a horizontal line joining the low points of
the second top. Indeed, this figures often characterizes a trend
reversal.
Up to the second top (head), the stock is standing on a bullish
trend, which is broken down by drawing the second shoulder.
It then reaches a downward trend, which is confirmed by the
crossing down of the neckline after the second shoulder.
Still, one can often have a phenomenon called pull back,
corresponding to a return of the price right under the neckline.
This return often corresponds to a technical rebound, as it
often occurs in low volumes.
More precisely, the appearance of the top (head) can be forecasted
whenever volumes significantly fall, standing at a lower level
compared to volumes reached during the first shoulder.
In terms of target, it is calculated just as the double top,
by moving the figure height (head height relatively to the neckline)
at the end of the figure (crossing down of the neckline). Of
course, a symmetric figure can be drawn on the downside. It
is then called reverse head-and-shoulders.
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4. FIBONACCI
This name refers to a set of mathematical and graphical considerations, based on the eponymous
series. This latter, formalised by the famous 13th century Italian
mathematician, is expressed as:
the sum of the two preceding terms (i.e. Un+2 = Un+1 + Un), with
the first two terms being 1 and 1 (i.e. U0 = U1 = 1).
The first terms of the series are thus: 1, 1, 2, 3, 5, 8, 13,
21, 34, 55,
This series has very numerous interesting properties,
the most useful being the limit of two consecutive terms of this
series. Indeed, the Un+1/Un ratio aims at the golden ratio (about
0.618) for n infinitely high.
In the field of finance, this ratio and its fractions are used
to determine resistance and support levels as well as targets.
The main proportions used are 38.2 %, 50 % and 61.8 %. They are
used to determine what is called retracements.
Let us take the example of a stock, which following the announcement
of good news or a speculation wave, rises from 100 (the level
around which it usually evolves) to 300 in a few weeks. If a decrease
occurs from the 300 level, corresponding to profit taking or the
awareness of the excess of the increase, it can be interesting
to measure the extent of this correction before a new upward move,
or at least a rebound or the end of the bearish trend, occurs.
In this case, we can expect the stock to find a support after
having dropped by 38.2 % of the upward move. This latter representing
300-100 = 200, the fall extent is 0.382 x 200 = 76.4. A support
could thus appear at 300 76.4 = 223.6. The most confident
investors could thus buy the stock on this level. Of course,
a similar analysis could be done in the case of a fall corrected
by an upward move.
Quite often, the levels determined by these ratios also correspond
to supports or resistances, which get stronger as time goes by.
Apart from the role of corrections target, Fibonacci ratios can
also constitute thresholds, encouraging the sale of ones
stocks after a sufficiently significant rise.
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5. Trend indicators
Presentation
Technical analysis is composed of two parts: graphical analysis
and numerical analysis. The first is essentially based on the
simple observation of prices and volumes levels, as well as the
existence of characteristic graphical figures. The second one,
in comparison, uses mathematical constructions. On the basis of
prices (especially closing and extreme levels), technical indicators
are created.
These latter can belong to two categories, referring to both
facets of the investors psychology. These are trend indicators,
usually based on averages, on the one hand and counter-trends
indicators, usually based on derivatives, on the other hand.
The main interest of technical indicators is their predictive
capacity, while graphical analysis often has this possibility
only when figures are at least partially drawn. This is especially
true for counter-trend models.
Usefull indicators
Moving averages
The most simple trend indicators are moving averages. They
simply correspond to an average calculated on an evolving time
scale: every day, the oldest value (often taken at the close)
in the average calculus is replaced by the value of the new
session.
Consequently, the predictive interest of this indicator is nil
(since it represents prices evolution with a certain delay).
Still, it enables one to determine trends of mid or long term,
stronger and stronger as the average direction is steady.
In spite of the simplicity of this indicator, the length of
averages used should be handled with caution. Indeed, analysts
prefer using two moving averages simultaneously, with quite
different lengths to forecast possible trend reversals. Thus,
one will often jointly use moving averages calculated on 20
and 50 days, or on 50 and 100 days
In particular, this simultaneous use makes it possible to determine
buying signals. These occur whenever a short term moving average
(e.g. 20 days) crosses a longer term moving average (e.g. 50
days) coming from beneath and thus comes above. This expresses
the tendency of the stock to have its most recent prices at
a level higher than older prices, thus showing a bullish trend.
Reciprocally, a selling signal occurs whenever a short term
moving average crosses down (i.e. from above) a longer term
moving average and thus comes beneath.
Overall, the interest of moving averages is to avoid going
against the market trend when it follows a strong move.
Bollinger bands
These indicators are derived from moving averages and aim at
filling in an important gap. Indeed, moving averages give buying
and selling signals at punctual levels, which can thus quickly
be invalidated should the market reverse on the very short term
(during the session or from a session to another).
It can thus be wise, rather than defining precise thresholds,
to use zones defined as intervals on both sides of the moving
average. Bollinger bands are built on this very principle. This
figure is composed of three trend lines: the middle, upper and
lower bands.
The middle band corresponds to a simple moving average, often
calculated on 20 days.
The level of the upper band, in every point, corresponds to
the sum of the level of the middle band and twice the value
of the standard deviation associated to the moving average.
Reciprocally, the level of the lower band corresponds to the
level of the middle band diminished by twice the value of the
standard deviation associated to the moving average.
An envelop of the stock price is thus determined. This makes
it possible to then identify the variation margin in which the
stock should stay almost systematically. In the case of a stock
following a Gauss law, 95 % of the trades will thus occur between
these bands.
These latter then constitute very strong support (lower band)
and resistance (upper band) levels. These levels respectively
represent interesting buying and selling levels, particularly
when no real trend appears on the market (and bands are thus
stable on both sides of the average), which enables to play
with a trading target (short term target).
In opposition, in a trend market, clues given by bands are
related to their spread. Indeed, a growing spread of bands means
a growing standard deviation, which is the sign of the beginning
a strong trend. Then, when bands narrow, variations on both
sides of the moving average get smaller, which suggests the
end of a trend. It is then possible to use bands as supports
and resistances.
The MACD
One of the most commonly studied technical indicators is the
MACD. This indicator (Moving Average Convergence / Divergence)
reflects a difference between moving averages and refers to
the ascendancy or not of the mid-term relative to the short
term.
The considered average lengths are respectively 26 days (0.075
exponential coefficient) and 12 days (exponential coefficient
of 0.15).
Moreover, to estimate the variations of the trend, an auxiliary
indicator (named signal line) is formed. It is based on a new
exponential average on 9 days (0.20 coefficient).
The advantage of this indicator is triple: absolute position
of the MACD, relative position to its signal line and existence
of divergences.
From the first point of view, oversold and overbought situations
can be identified. Thus, a strong rise of the MACD indicates
that the 12-day moving average is more rapidly rising than the
26-day one, thus showing a stronger volatility in the short
term. Then, the crossing of the zero level should be considered
with special caution.
From the second point of view, one of the most relevant invitations
to buy is the crossing up of the signal line by the MACD, especially
when it occurs on up reversing levels for the MACD (cf. graph).
From the third point of view, divergences can be identified
between the MACD trend and that of the stock price on a given
period. This phenomenon is marked by the more than proportional
increase or decrease of the MACD compared to the stock variation
(cf. graph).
The DMI
As opposed to other indicators, the DMI (Directional Movement
index) does not aim at defining excesses (oversold / overbought
areas) or divergences but rather at determining trends, used
to identify buy and sell signals.
It is much more complex to form than other oscillators. First,
pressure indicators to buy (+DM) and sell (-DM) are identified.
These pressures are then expressed as a percentage of the maximum
variation of the market on the period, and a moving average
of these indicators is calculated, respectively +DMI and DMI.
Let us take the example of a 14-day period, with +DMI14 = 0.2
and DMI = 0.36. This means that 20 % of the market range
in the past 14 days was done on the upside and 36 % on the downside.
On this range, 56 % (0.2 + 0.36) was directional.
Thus, the more directional the market (on the upside AND on
the downside), the greater the sum of the DMIs (DMI sum). Still,
the difference between +DMI and DMI is more often calculated
(DI diff). The information given on the trend is then different:
the higher this difference, the more directional the market
in the same direction. The DI diff / Di sum ratio, expressed
as a percentage, then gives DX, which is smoothened on the period
(often 14 days) to form ADX.
Once these oscillators are built, it becomes quite easy to
use them. First, one can compare the respective positions of
+DMI and DMI. If +DMI stands above DMI, the trend
on the upside is strong, which means that buyers win more and
more. In opposition, if +DMI stands under DMI, this is
the trend on the downside which is strong, and the sellers then
become the winners.
Moreover, signals are also given by the ADX. As this latter
bypasses 17, the market is considered as following a trend.
It is then possible to buy (+DMI above DMI) or sell (-DMI
above +DMI).
Finally, the ADX enables one, along with moving averages, to
determine the validity of the latter. Indeed, as moving averages
sometimes have false signals, it is possible to buy only when
the ADX shows a trend, and then to follow signals given by moving
averages.
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6. Counter-trend indicators
Presentation
These indicators are numerous but only a few of them are commonly
referred to. They correspond to the graphical representation of
mathematical calculations. The latter represents the prices evolution,
not their absolute level. They are called oscillators, as they
correspond to an estimate of market tensions and behave like a
derivative function.
This aspect is crucial in order to understand the representation
principle of oscillators. For example, a technical indicator
reversing up, getting in an up move after having been heading
downward, expresses the beginning of an upward trend on the
stock to which it is related. Symmetrically, this is the same
on the downside. The crossing of a mid-level by indicators thus
expresses a move power at its climax letting expect a lower
trend pace ahead of a reversal.
Oversold
/ overbought levels
The first interest of oscillators, linked to their tension indicator
status, is to mark sensitive levels, forecasting possible reversals.
It is for this reason that the overbought and oversold
concepts have been set up. These levels correspond to market excesses.
For example, in the case of an overbought situation, the stock
rose steadily without consolidating or correcting significantly,
thus letting expect a forthcoming reversal. This is expressed
by the oscillator at a high level, in a zone, which has been defined
as oversold area and which shows the existing tension on the market.
This is also the case, symmetrically, on the downside while, between
both extremities, the market is considered as neutral.
Still, reading these overbought and oversold zones can be more
complex. Indeed, oscillators can take two different forms, with
or without boundaries. Indicators with boundaries evolve between
two fixed limits (often 0 and 100). It is then easy to determine
these zones (for example above 75 for overbought and below 25
for oversold). In comparison, indicators without boundaries,
by definition, have no theoretical limits on the upside and
on the downside, which makes it more difficult to set up such
zones. However, though it is careless to buy in an already overbought
market, the sole analysis of the indicator level does not necessarily
give all information (see graph).
Divergences
The main analysis element of indicators, though often underestimated,
lies in the divergences principle. This corresponds to a disconnection
between the prices evolution and that of the indicator (cf.
graph). One will thus consider a downward (upward) divergence
when the oscillator is following a downward (upward) trend while
prices are still rising (falling).
This phenomenon is directly linked to the derived function status
of indicators. Indeed, a decrease of the indicator while prices
are rising indicates that this rise is pursuing at a lower pace.
This breathlessness of the market then lets expect a reversal
on the downside. Still, this approach is valid only when linked
to the preceding aspect, i.e. the presence of the oscillator
in an oversold or overbought area. Indeed, these zones are the
predilection place for trend reversals, as they mark an uninterrupted
trend. In comparison, a neutrality (cf. graph) of markets makes
breathlessness quite unlikely and thus little relevance to the
analysis of divergences. Moreover, as divergences are premonitory
signs, it is often careless to act in consequence just after
the apparition of divergences. It is then much safer to check
whether they are validated or not, i.e. if the indicator can
rebound on the overbought or on the oversold line (cf. graph).
Graphical figures
Beyond calculations on indicators, this latter can also provide
information by themselves, just as stock prices. Trends and figures
can thus be identified. Indicators can also bump under resistances
or land on supports. This aspect is also interesting as trend
ruptures on oscillators often precede that on stock prices. Within
this framework, the neutrality zone (corresponding to the middle
of the boundaries for indicators with boundaries) is especially
overseen, as it often constitutes a major support or resistance.
Moreover, it is possible to use filters. For example, it is
often wise to compare oscillators with their moving average
on a certain number of days to eliminate punctual and non-significant
variations. It then becomes possible to set up a systematic
method, based on the fundamental principle of indicators: not
going against the trend. This rule consists in buying as the
oscillator breaks up the zero level, while it stands above its
moving average, and to sell as this level is crossed down, with
the indicators turning around and crossing down the zero level.
This set of counter-trend indicators is based on a simple observation:
when stock prices stand in a bullish trend, closes stand at
higher and higher levels from day to day while, when stock prices
stand in a bearish trend, closes stand at lower and lower levels.
Combining both conclusions, it becomes possible to forecast
reversals as soon as new tops appear but with closes on the
downside.
The RSI
This indicator (aka Relative Strength Index) aims at establishing
a reference scale independently from the stock prices levels themselves.
As the RSI has boundaries (0 and 100), it then becomes very easy
to determine overbought and oversold areas. Thus, the RSI is one
of the most commonly used counter-trend indicators.
It is based on the average of rises and drops of a stock, with
the formula :
RSI = 100 [100 / (1 + RS)]
where RS represents the average of up closes divided by the
average of down closes on the considered period.
Consequently, the shorter the studied period, the more volatile
the RSI. Depending on trading habits, longer or shorter lengths
can thus be used but the most common length is 14 days.
On a graph, lines can be drawn at 30 and 70. A crossing down
of 30 indicates that the market is oversold while a crossing
up of 70 indicates that the market is overbought.
Just as for the MACD, it is possible to smooth signs given by
the RSI by forming two RSI on two different periods. Then, a
crossing up of the long-term RSI by the short-term RSI constitutes
a buying signal while a crossing down of the long-term RSI by
the short-term RSI constitutes a selling signal.
The principle of divergences is also applicable to the RSI,
and is more easily applicable than on the MACD, as overbought
and oversold areas can legitimately be drawn.
Finally, just as on stock prices themselves, supports and resistances
can appear, especially when nearing the neutrality zone (near
50).
Stochastic Oscillator (by METASTOCK)
The Stochastic Oscillator compares where a security's price closed
relative to its trading range over the last x-time periods.
The formula for the %K parameter of the Stochastic is :
%K = 100 x [ (C Lx) / (Hx Lx) ]
For example, to calculate a 10-day %K: First, find the security's
highest high and lowest low over the last 10 days. For this
example, let's assume that during the last 10 days the highest
high was 46 and the lowest low was 38--a range of 8 points.
If today's closing price was 41, %K would be calculated as :
The 0.375 in this example shows that today's close was at the
level of 37.5% relative to the security's trading range over
the last 10 days. If today's close was 42, the Stochastic Oscillator
would be 0.50. The 0.50 would show that the security closed
today at 50%, or the mid-point, of its 10-day trading range.
The above example used a %K Slowing Period of 1-day (no slowing).
If you enter a value greater than one, MetaStock will average
the highest high and the lowest low over the number of %K Slowing
Periods before performing the division.
A moving average of %K is then calculated using the number of
time periods you specified in the %D Periods. This moving average
is called %D.
Finally, MetaStock multiplies all stochastic values by 100 to
change decimal values into percentages for better scaling (e.g.,
0.375 is displayed as 37.5%).
The Stochastic Oscillator always ranges between 0% and 100%.
A reading of 0% shows that the security's close was the lowest
price that the security has traded during the preceding x-time
periods. A reading of 100% shows that the security's close was
the highest price that the security has traded during the preceding
x
-time periods.
Stochastic Oscillators can be used as both short- and intermediate-term
trading oscillators depending on the number of time periods
used when calculating the oscillator. When displaying a short
term Stochastic Oscillator (e.g., 5-25 days), it is popular
to slow the %K value by 3-days.
There are several ways to interpret a Stochastic Oscillator.
Three popular methods include :
-- Buy when the Oscillator (either %K or %D) falls below a specific
level (e.g., 20) and then rises above that level, and sell when
the Oscillator rises above a specific level (e.g., 80) and then
falls below that level. However, before basing any trade off
of strict overbought/oversold levels it is recommended that
you first qualify the trend of the market using indicators such
as r2 (see r2) or CMO (see Chande Momentum Oscillator). If these
indicators suggest a non-trending market, then trades based
on strict overbought/oversold levels should produce the best
results. If a trending market is suggested, then you can use
the oscillator to enter trades in the direction of the trend.
-- Buy when the %K line rises above the %D (dotted) line and
sell when the %K line falls below the %D line.
-- Look for divergences. For example, where prices are making
a series of new highs and the Stochastic Oscillator is failing
to surpass its previous highs.
The constitution of these indicators is more complex than that
of other oscillators. A first oscillator, called %K, is constituted,
with the formula :
%K = 100 x [(C Lx) / (Hx Lx)]
where C represents the last close price, Lx the lowest price
on the past x days and Hx the highest price in the past x days.
The most common length used is five days.
Thus, when the market stands on its highs, the closing price
is close to its tops of the last few days. The ratio then tends
towards 1 and the %K oscillator towards 100. Oppositely, on
the downside, the ratio tends towards 0 and so does %K.
%K thus expresses market tensions (oversold or overbought) in
the RSI manner but, as opposed to the latter, is related to
extreme prices and not close prices.
A second indicator, %D, is then constituted, so as to smooth
%K, with the formula :
%D = 100 x Hy /Ly
where Hy represents the sum of (C Lx) on the past y
days and Ly the sum of (Hx Lx) on the past y days, with
y < x. In other words, %D is an average of %K (x days) expressed
on the past y days. This new length is often three days.
In spite of this smoothing, it remains difficult to compare
%D and %K as %K can easily come from 0 to 100 from a session
to another. Then, %D becomes the new reference indicator. A
third indicator, slow %D, is then created so as to smooth %D.
This indicator is formed by taking the average of %D on three
days. %D and slow %D are then respectively called fast and slow
stochastics.
Stochastics can be used in different ways. First, the presence
of the fast stochastic on extremes (near 0 or 100) indicates
oversold or overbought situations. Despite the smoothing of
%K by %D, this indicator remains volatile, which makes it difficult
to use in this framework. Reciprocally, this strong volatility
makes it possible to consider that, if %D remains on high (resp.
low levels) for a long time, stock prices are standing on a
strongly rising (resp. falling) trend.
Moreover, buying (resp. selling) signals occur when the slow
stochastic stands on low (resp. high) levels and crosses up
(resp. down) the slow stochastic.
Finally, as for the other indicators with boundaries, divergences
between the oscillator evolution and that of stock prices can
occur.
Source : TRADING Central
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