Integration of Gann, Elliott,
and Fibonacci Techniques
by Peter Matske
If your trading is based only upon study indicators you
may find that adding additional techniques may be of
benefit. Most studies are based upon price, in fact very
few consider time at all, other than to smooth or average a
number. The techniques of Gann, Elliott, and Fibonacci all
offer the integration of time as well as price, and
therefore may add value to your trading.
W. D. Gann, R. N. Elliott, and L. Fibonacci all developed
techniques which can be useful to project future areas which
may be significant in either price or time. Some of the
following topics may be contentious to some people, since
many of the techniques have not been verified to theoretical
academic standards. The counter point is that becomes the
exact reason why the principles may be of value, because
they may provide a trader’s edge. J.P. Morgan was a very
successful trader, perhaps one of the greatest of all time.
From his writings, I believe that he would concur with the
techniques of Gann, Elliott and Fibonacci. He was quoted as
saying, 'Anyone can become a millionaire, but if you want to
become a billionaire, then you need an astronomer.' I
believe that he was referring to the price time
relationships, which have been associated by some as
'spatial relationships.'
Fibonacci found that a number series, which increases by
1.618, has importance. He found this series to be almost
universal in nature, from the structure or composition of
plants to animals. The series is 1, 2, 3, 5, 8, 13, 21, 34,
55, 89, 144, 233, etc. What is interesting is that the
relationship can be arrived at in many different ways and
yet still comes to the same conclusion. I will later
attempt to show that time and price are directly related.
But first here’s a little math teaser.
Write down on a piece of paper any two numbers. Start a
Fibonacci sequence by adding the first number to the second
number to create the third number. Continue adding pairs of
numbers to get the next number in the sequence. For
example: 72, 81, 153, 234, 387, 621, 1008, 1629, 2637, 4266
etc. The more numbers in the series, no matter what numbers
are used as the starting point, will yield a relationship of
1.618 (i.e. 2637 *1.618=4266).
Fibonacci found this relationship of 1.618 to be of
great significance and he used it throughout his works.
Note the following:
0.382 * 1.618 = 0.618
0.618 * 1.618 = 1.000
1.000 * 1.618 = 1.618
1.618 * 1.618 = 2.618
Referring to the first graph, note the use of the 1.618
relationship in the following ways:
On the left side a retracement scale exists depicting the
Fibonacci range from 173374 to 177242. Using Fibonacci
extension principles the subsequent high 179633 would be an
area that may be considered significant to watch. Note also
the Fibonacci circles use the same relationships. These
tools function both forward and backward, in time and
price. Gann and Fibonacci found a few relationships which
are more significant than others 90, 180, 270, and 360
degrees of rotation may mark points of interest in both
price and time. If a tool exhibits at least two of these
points of interaction it has the potential to be significant
in a third or fourth point. Note that each time price came
in contact with the circle there was a change in market
direction. This interaction may carry forward or backwards
over many subsequent circles.
In this figure the same construction is applied from the
preceding low point, and again shows multiple points of
significant interaction both forward and backwards in time
and price. Circles may be placed upon a chart well in
advance of anticipated significant areas with the use of the
Fibonacci circles tool.
The Fibonacci numbers series should be used in Fibonacci
circles and retracements. R.N. Elliot used this same
sequence as a cornerstone in the development of the Elliot
Wave structure. Elliott found several patterns to be quite
common that exhibit this relationship. One very important
thing to keep in mind is that there are many continuous
interactions on different levels. The same or opposite
structure may exist on a 1 min, 15 min, 45 min, daily,
weekly, or monthly chart. The interaction of the different
chart structures may be of significance as it can reaffirm
points or areas that may become significant.
This figure shows Fibonacci cycles using the 1.618
relationship. Note how the tool identified areas of
significance. The first line at bar 8 points to the first
high. The 13 line points to the end of the congestion and
the start of the next wave up to the 21 line and another
high. Note how the series continues to be useful at
pointing to future areas of importance at bars 34, 55, and
89.
This figure shows a daily chart of the $Compq. Depicted
on the chart are Fibonacci levels from each visually
significant high or low. Two retracements are depicted, one
measures the high of 01-24-01 to the low of 04-04-01. The
other measures the low of 04-04-01 to the most recent high
of 05-22-01. Whenever there is a retracement of a minimum
price movement of .382%, the point that the retracement
began from should mark a valid point for a Fibonacci
circle. Note in this graph that the low of 04-04-01 is the
starting point a circle that uses the 05-22-01 high as its
1.000 circle. Another circle can be drawn from the high on
01-24-01 which uses the low of 04-22-01 as its 1.000 circle.
This graph shows a Gann Square anchored on the preceding
low which shows many points of interaction with the fan
lines along the way. Squares are generally best constructed
from visually significant highs or lows. Although many
shapes and sizes of the square may be used and prove useful,
some demonstrate more consistent results which include
height to width (rise to run) of 1x1, 1x5, 5x1, 10x1, and
1x10
Another method for constructing the box is to use Gann’s
square of nine to calculate what I refer to as natural box
sizes. This is done for you when you use the Pyrapoint
tool.
I would contend that each of the following 8 statements
could be verified with the sufficient desire, time, and
resources to support the verification. Obviously that’s a
pretty bold statement since verifying mere fractional
portions of a contention by academic theorists has resulted
in significant awards.
1. Time forecasts Time (time can be used to
suggest future areas of significance, by counting different
time series. Some possible uses include: high to low, low
to high, high to high, and low to low)
Tools available for this task include the Gann cycle,
square, and fan; and Fibonacci cycle, circles, and arcs.
2. Price forecasts Price (price can be used to
suggest future areas of significance, by counting different
price series. Some possible uses include: high to low, low
to high, high to high, and low to low)
Tools available for this task include the Gann square and
fan, Andrews pitchfork, Fibonacci retracement, and Elliott
wave.
3. Time forecasts Price (time can be used to
suggest future points, repetitive levels, or increments in
price)
Tools available for this task include the Gann fan and
square, Andrews pitchfork, Fibonacci circles, and arcs.
4. Price forecasts Time (price can be used to
suggest future points, repetitive levels, or increments in
time)
Tools available for this task include the Gann fan and
square, Andrews pitchfork, Fibonacci circles, and arcs.
5. Time forecasts Price and Time (time can be used
to suggest future points in price and time)
Tools available for this task include the Gann fan and
square, Andrews pitchfork, Fibonacci circles, and arcs.
6. Price forecasts Price and Time (price can be
used to suggest future points in price and time)
Tools available for this task include the Gann fan and
square, Andrews pitchfork, Fibonacci circles, and arcs.
7. Price and Time forecasts Price (price and time
can be used in conjunction to suggest future points in
price)
Tools available for this task include the Gann fan and
square, Andrews pitchfork, Fibonacci circles, and arcs.
8. Price and Time forecasts Time (price and time
can be used in conjunction to suggest future points in
time)
Tools available for this task include the Gann fan and
square, Andrews pitchfork, Fibonacci circles, and arcs.
The numbers or series may be created by any of the
following methods and may be viable: addition, subtraction,
multiplication, division, squaring or square root of a
number.
The relationships may also be represented graphically in
simple geometric shapes: circle, triangle, square. They may
be represented in two or three dimensions: square to cube,
circle to sphere etc. Three-dimensional representations can
often demonstrate speed of movement, as what may appear to
be congestion in an x-y plane may be continuous motion in
the y-z plane.
Ensign Windows provides the tools to easily create
forward-looking interactions. I find it useful when
multiple techniques point to the same conclusion. This may
suggest that the identified area may become significant and
that may provide the desired trader’s edge.
Trading Tip:
Gann Squares and Fibonacci Circles
Analysis by Steve Grimaldi
gts@nb.net
Text by Howard Arrington
This chart is the weekly Dow Jones
Industrial, analyzed using the major high of 11750.28 on
01-14-00 (point A) and the prior major low of 7400.30 on
09-04-98 (not shown). All constructions are based on these
two major points. Both the major high and the major low are
marked by horizontal blue lines.
The Gann Square was sized so its vertical
range used these two major prices, and its horizontal width
used the 01-14-00 bar for its left edge and the recent high
on 05-25-01 as the right edge. The Fibonacci circles were
sized with the center on the major high on 01-14-00 and the
1.00 circle passing through 05-25-01. The chart scale was
adjusted so the 45 degree line from the circle tool would
pass through the corners of the Gann Square, thus squaring
Time and Price.
There are 71 weeks between the 09-04-98 low and the
01-14-00 high, and 71 weeks between 01-14-00 and 05-25-01!
This cycle is close to the 72 week cycle - half of Gann's
144.
There is considerable symmetry of moves on the different
radii. You will need to construct the circles yourself to
see the symmetry for the data off the left side of the
chart. Sorry the chart size that can be included in this
newsletter does not permit more chart bars to be shown.
Note the Arc support at points B and D. Note the Arc
expiration at points C and E.
Compliance News:
01-26 SEC Approves Proposed Rule Change Relating To
Day-Trading Margin Requirements
The Securities and Exchange Commission (SEC) approved
amendments to National Association of Securities Dealers,
Inc. (NASD®) NASD Rule 2520 relating to margin
requirements for day traders (the “amendments”). The
amendments become effective on September 28, 2001 and are
substantially similar to amendments by the New York Stock
Exchange (NYSE) to its margin rules.
The amendments provide for the following changes to
current margin requirements:
(1) Definition of “pattern day trader.” Under the
amendments, “pattern day traders” are defined as those
customers who day trade four or more times in five business
days. If day-trading activities do not exceed six percent
of the customer’s total trading activity for the five-day
period, the clearing firm is not required to designate such
accounts as pattern day traders. The six percent threshold
is designed to allow clearing firms to exclude from the
definition of pattern day trader those customers whose
day-trading activities comprise a small percentage of their
overall trading activities.
In addition, if the firm knows or has a reasonable basis
to believe that the customer is a pattern day trader (for
example, if the firm provided training to the customer on
day trading in anticipation of the customer opening an
account), the customer must be designated as a pattern day
trader immediately, instead of delaying such determination
for five business days.
(2) Minimum equity requirement. The amendments
require that a pattern day trader have deposited in his or
her account minimum equity of $25,000 on any day in which
the customer day trades. The required minimum equity must
be in the account prior to any day-trading activities;
however, firms are not required under the rule to monitor
the minimum equity requirements on an intra-day basis. The
minimum equity requirement addresses the additional risks
inherent in leveraged day trading activities and ensures
that customers cover losses incurred in their accounts from
the previous day before continuing to day trade.
(3) Day-trading buying power. The amendments
limit day-trading buying power to four times the day
trader’s maintenance margin excess. This calculation is
based on the customer’s account position as of the close of
business of the previous day.
(4) Day-trading margin calls. Under the
amendments, in the event a day-trading customer exceeds his
or her day-trading buying power limitations, additional
restrictions are imposed on the pattern day trader that more
adequately protect the firm from the additional risk and
help prevent a recurrence of such prohibited conduct.
Members are required to issue a day-trading margin call to
pattern day traders that exceed their day-trading buying
power. Customers have five business days to deposit funds
to meet this day-trading margin call. The day-trading
account is restricted to day-trading buying power of two
times maintenance margin excess based on the customer’s
daily total trading commitment, beginning on the trading day
after the day-trading buying power is exceeded until the
earlier of when the call is met or five business days. If
the day-trading margin call is not met by the fifth business
day, the account must be further restricted to trading only
on a cash-available basis for 90 days or until the call is
met.
(5) Two-day holding period requirement. The
amendments require that funds used to meet the day-trading
minimum equity requirement or to meet a day-trading margin
call must remain in the customer’s account for two business
days following the close of business on any day when the
deposit is required.
(6) Prohibition of the use of cross-guarantees.
Under the amendments, pattern day traders are not permitted
to meet day-trading margin requirements through the use of
cross-guarantees. Each day-trading account is required to
meet the applicable requirements independently, using only
the financial resources available in the account.
Accordingly, pattern day traders are prohibited from using
cross-guarantees to meet the minimum equity requirements or
to meet day-trading margin calls.
In addition, the amendments revise the current
interpretation that requires the sale and repurchase on the
same day of a position held from the previous day to be
treated as a day trade. The amendments treat the sale of an
existing position as liquidation and the subsequent
repurchase as the establishment of a new position not
subject to the rules affecting day trades. Similarly, if a
short position were carried overnight, the purchase to close
the short position and subsequent new sale would not be
considered a day trade.
For more information regarding the SEC Approval of
Proposed Rule Change Relating To Day-Trading Margin
Requirements, please refer to NASD Notice-To-Members 01-26 |