February 2000Study Insight:
Fibonacci
Numbers by Howard Arrington
Leonardo de Pisa de Fibonacci (born around 1170 in Pisa, Italy)
was a mathematician who studied the Great Pyramid at Giza and
discovered a number series which we now call Fibonacci
numbers. The number in the series is the sum of the two
previous numbers, and includes the set 1, 2, 3, 5, 8, 13, 21,
34, 55, 89, and 144. Dividing one number by the next
after the 8th sequence yields 0.618, which happens
to be the relationship of the height of the Great Pyramid to its
base. Another relationship is that the next number in the
sequence is approximately 1.618 times the preceding
number. These relationships are also a Fibonacci number
series: 0.382, 0.618, 1.000, 1.618, and 2.618, etc.
Fibonacci numbers are valuable because these numbers and
relationships are found everywhere in nature and in the
markets. Frequently the magnitude of a wave will have a
Fibonacci relationship to the magnitude of another wave
structure. A wave's magnitude is determined by
measuring the price range from a significant top to a significant
bottom. The magnitude of a Trend wave might be 1.618 times the
magnitude of the previous Retracement wave. A corrective
Retracement wave might be 0.618 times the magnitude of the previous
Trend.
Larry Pesavento shows in his book 'Profitable Patterns for
Stock Trading' that two additional ratios are
frequently found in the markets. These ratios are the
square roots of the two primary Fibonacci ratios. The square
root of 0.618 = 0.786, and the square root of
1.618 = 1.272. Larry uses these two
additional relationships, 0.786 and 1.272, because not all waves are
a ratio of 0.618 and 1.618, or the other common ratios of 0.382,
0.500, and 2.618.
This example daily chart, Lucent Technologies Inc. (LU), is
loaded with Fibonacci relationships. The number of bars
in each trend is shown in a red box. Note that the
number of bars in the initial trend and its narrowing triangle
consolidation sum to a Fibonacci number 55 = 8 + 8 + 5 + 8 + 5 + 8 +
8 + 5. Note the three wave bottoms that occur on
the 13th bar cycle from the prior bottom. Note the break away
gap and the 21 bar run to the 1.618 Fibonacci extension level
top.
Fibonacci ratios are easily applied to a chart using the
Fibonacci Levels tool in Ensign Windows. When you click
on the Fibonacci Levels button, the cursor will change to
a pencil while in the draw mode. A start and end point are
necessary to draw Fibonacci Levels on a chart. The distance
between the start and end points is divided into Fibonacci Levels
which suggest possible support and resistance points. To
draw Fibonacci Levels on a chart move the cursor on the chart to the
starting point. The starting point is generally an important
high or low on the chart. Click the left mouse button down and
drag the mouse to the ending point, and release the mouse
button. The ending point is usually the end of an important
trend or correction following the starting point. Watch for
the completion of a trend or correction at a Fibonacci Level.
After drawing Fibonacci lines on a chart, click the right mouse
button to display the tool's properties window. The properties
window is used to change the levels, color, style, and
defaults. A check box list of common ratios is provided so
that specific levels can be displayed or hidden. The list
includes the levels 0.786 and 1.272 that are the focus of this
month's study insight.
'Profitable Patterns for Stock Trading' , by
Larry Pesavento, Copyright 1999, published by Traders Press, Inc.,
ISBN# 0-934380-47-3
Article:
Do Your Own
Thinking by Howard
Arrington
Perhaps it is just an inherent human trait, but it never ceases
to amaze me the eagerness with which we want to embrace someone
else's opinion. What worries me is when traders don't think
for themselves and place too much trust in supposed
'experts'. That characteristic is even manifest by some who
subscribed to this newsletter hoping it would tell them what to buy
or sell. This newsletter won't do that. Instead it will
try to teach you to think, and give you tools and insight to help
you do your own technical analysis.
One can find on the Internet countless web sites offering advice,
newsletters, and stock picks. I raise a warning voice that
traders should not be so eager to embrace the information they
peddle. I offer the following look behind the smoke screen.
Many of the newsletters which offer daily picks, or hot-stocks to
watch, fall in the category which I call 'pump and dump' services.
They artificially manipulate stock prices for the benefit of
the owners of the service. Some of the picked stocks pay the
newsletter or brokerage for the promotion. Several years
ago my broker would call with suggested stocks to buy. I
remember investing in Ramada Inns around $11 on the broker's
recommendation. His firm's research department had
issued a buy recommendation for Ramada. The stock ended
up being near its peak when I bought, and I eventually exited
around $7. Where was the broker during the
decline? It sure felt like I had been a victim of a
'pump and dump' promotion so my broker's firm could unload Ramada
stock, or he could turn a commission.
One of the stock-pick web sites I visited bragged that 83% of
their picks hit their suggested target price. I looked at
their stock picks for the month of December, and their
table showed an impressive 20 out of 20 picks with a positive
value in the column labeled 'The Point Move It Made So
Far'. So, I looked at daily charts for each of their 20
stock picks for December, and marked the price and the day of the
suggested pick. In so doing, I then saw through the
smoke screen and got an immediate distaste in my mouth for this
stock-pick service. Look at the following
example that was their stock pick on 12-02-1999 at a price of
$18 1/4.
The following irritates me. First of all, this
service says their entry price is $18 1/4. This is the
closing price on December 1st and is pointed to with a red
arrow. The stock pick was supposedly in an e-mail issued
on December 2nd prior to the market opening. If one
acted promptly, one might have bought the December 2nd open, but
that is at a higher price than the $18 1/4 they imply their
subscribers bought at based on their pick recommendation.
The real irritation is that they say this stock has made a $2
7/16 move so far. When you study the chart, $2 7/16 is
the difference between the pick price of $18 1/4 and the highest
high following the pick, which just happens to be on December 2nd,
the day of the pick. One would have had to buy the
previous day's close (impossible to do on December 2nd), and sell at
the highest high since then in order to realize the results implied
by this service. Come on people, give me a
break. That isn't going to happen. The
implied 13% gain on this recommendation is in reality probably a 30%
loss. In all fairness, some of their December picks have
good gains after 4 to 8 weeks. What I am trying to
illustrate is that there is no substitute for doing your own
thinking.
A second Internet stock-pick service I found, on the surface
looked exciting. This service evaluates 7,000 stocks each day
and rank orders them according to scores given for value, safety,
and timing. To monitor their stock picks, I entered
their top 50 buy recommendations in a paper trading account and used
the closing price on January 25th as the entry price. I
dollar balanced the portfolio to invest $5000 to $6000 in each
stock. Was it just my 'bad luck' to start this exercise
before the DOW had a down week because of fear interest rates
would rise?
Anyway, one week later the account was down 4.7%.
But, during the same time period, the DOW fell 2.6%. So, what
gives? One would not expect a list of BUY recommendations to
crash faster than the DOW. In fairness to this stock-pick
service, they expect you to invest for the long haul, and my
critique of one week's setback is probably unfair.
Whether I am right or wrong in my assessment, or whether either
of these stock-pick services are worth the monthly fee they charge
is not the issue. What I am trying to do is to get you
to think. Be suspicious of stock-pick
recommendations. Do your own analysis and thinking. The
greatest value I personally find in these stock-pick services is it
causes me to look at charts I otherwise would not have
examined. Occasionally, I find a recommended stock with
a chart formation that is attractive to me. Usually the
biggest problem is that by the time the stock appears on a
recommendation list, the move I am interested in is already history,
and the chart is about to enter a consolidation or correction
wave.
Trader Profile:
Allan Cook
ES: How long have you been trading, and what software do
you use?
AC: I have been trading for more than 20 years.
Years ago when I was a large potato farmer, I traded Ag
products during the winter months. Now that I no longer have
the farm, I am a full-time S&P day trader. I
have used Ensign Software programs since 1984.
ES: Which markets do you trade?
AC: I day trade just the S&P. 4 or 5
times a year I might make a position trade in an Ag
market. I would consider positions in wheat, soybeans,
cotton, sugar, heating oil, orange juice, US bonds, live cattle,
feeder cattle, live hogs, and pork bellies.
ES: What chart time-frames do you use?
AC: I watch a 3-minute chart and a daily chart for the
S&P. I don't look at anything else.
ES: What studies and tools do you use?
AC: None. I know you didn't want to hear that
answer. I pay attention to the bar formations on the
3-minute chart, and have developed a sense or gut feel of how the
market will behave. Yesterday was a huge down day, and
my gut feel a couple hours into today's trading was that the bottom
for today had been put in, and a sizable rally of 2000 to 3000
points would occur before the close. I watch for support
and resistance levels and try to safely enter the market in the
direction of the trend.
ES: How frequently do you trade?
AC: I trade 4 to 10 times a week. I am patient and
wait for the market to establish a trend. If the trend is up,
I try to board the trend using stops above resistance, or buy a
setback. When the trend is down, I will sell short using
stops below support, or sell a rally. But my trading is always
in the direction of the trend. I never keep an S&P
position overnight.
ES: What kind of market do you look for?
AC: One or two days a week, the market fits my style.
I stand aside in fast markets because they can't guarantee fills and
it is hard to know if one is in or out of a fast
market. Presently, these dynamic markets are historic in
their volatility. Markets like these have never existed
before, so I don't think there is a system out there that has the
experience to deal with today's markets. Even prior experience
may not be sufficient. I am constantly learning and adapting
to the market as it evolves.
ES: Since you don't use any of Ensign 6's studies or draw
tools, what do you look for in a chart?
AC: I watch price congestion levels, flags, pennants,
breakouts and retracements. I watch highs and lows, where the
market closed the day before and where it opened today. I
wait for the market to establish a trend and try to board using
stops, or buy setbacks and sell rallies.
ES: What about risk management?
AC: When I place an order, my broker sends the order to the
floor, and then while the broker is still on the phone, I place a
protective stop. I never hang up with my broker without
a stop in place. Years ago there was a time when my broker's
phone quit working, and there have been times when a news
event moved the market and one won't know about it in
time. For example, I was long the S&P the day the
Challenger exploded. I always place a protective stop
while I am on the phone with my broker. Then I am not in a
panic if the market turns on me and does something unexpected.
ES: What do you look for in a broker?
AC: The primary factor I need is best
execution. That is more important to me than the
commission. The way I trade, I am often in the market
for only 10 to 15 minutes. My broker has a flash line to the
floor. I basically quit trading the Ag products because
their opportunities come only 4 to 5 times a year. But with
the S&P's volatility, there is opportunity every day.
For my style of day trading, I need quick execution.
ES: What is the ideal trade for you?
AC: The perfect trade is a small move with a large position
in a highly predictable formation. The money I take out
of the market is a small move in a short period of time, but
with a large position. (ES: AC gave more
details but wanted the specifics withheld.) I really
don't like to suffer a lot. I am quick to be in and out of the
market. If the market does not do what I expect immediately,
then I get out of the trade.
ES: What advice would you share with the readers of the
newsletter?
AC: Don't trade bigger positions than you are ready
for. You need to get your trading style worked out
first. Too often traders have a few successes, and then get
their head handed to them on a plate. I work very hard at not
having any preconceived ideas about where the market will go.
Last of all, you have to do the work yourself. I remember
years ago being in a pork belly spread at my broker's advice before
a report. The broker said the spread was a safe way to play
the report. The day of the report, each leg of the
spread went limit against me. If you want advice from a
broker, you should consider why he is a broker instead of a
trader. You just have to do your own work. Trading
today's markets is a technologically based art.
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