Fibonacci
numbers are used in calculating Retracements patterns.
For
e.g. Many securities, after making long sustained moves in one direction,
will eventually retrace a portion of the move before continuing
on to extend it. The most popular Retracements amount used is 50%.
Meaning, if on its latest move, a stock went from 50 to 100 and
then started backing off, a 50% Retracements would bring it to $75
before it turns around and continues its upward march. In addition
to the 50% level, technicians also look at the 38.2% and 61.8% Retracements.
Originally discovered by
Pingala in India in 450 B.C., the 12th century mathematician,
Leonardo Fibonacci re-discovered this simple numerical series
that is the foundation for an incredible mathematical relationship.
Starting
with 0 and 1, each new number in the series is simply the sum
of the two before it.
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233 . . .
Adding the first two numbers to arrive at the third derives the
Fibonacci number sequence. The ratio of any number to the next
number is 61.8 percent, which is frequently characterized as a
major Fibonacci retracement number. The inverse of 61.8 percent
is 38.2 percent, also characterized as a major Fibonacci retracement
number. Also the ratio of any number in the series to the previous
number approaches 1.618 (called ‘Phi’), which some
times called the ‘most beautiful number’ by mathematicians
since this ratio is widely observed even in seemingly random and
unrelated natural phenomenon.
Fibonacci
Retracements are based on a trend line drawn between a significant
trough and peak. If the trend is rising, the Retracements lines
will descend from 100% to 0% .If the trend line is falling, the
Retracements lines will ascend from 0% to 100% .Horizontal lines
are drawn at the common Fibonacci levels of 38%, 50%, & 62%
.As the price retraces, support and resistance often occur at or
near the Fibonacci Retracements levels.
Usage:
Markets
trend up and down, pause to retrace (consolidate, correct) then
continue onward. These Retracements often reclaim constant percentages
of the original trend's move and can be predicted with good accuracy
by the Fibonacci sequence. Retracements help anticipate support
and resistance levels along with price targets.
|