How You Can Identify Turning Points Using Fibonacci 2008 Elliott Wave International 2 Understanding...

Elliott Wave International, Inc.P.O. Box 1618, Gainesville, GA 30503

(800) 336-1618 (770) 536-0309Fax (770) 536-2514

www.elliottwave.com

Wayne GormanMarch 17, 2008

How You Can Identify Turning Points Using Fibonacci

Part 1: Understanding Fibonacci Mathematics and its Connection to the Wave Principle

Understanding the Fibonacci Relationship in Financial Markets

� Golden Ratio, PHI, , Golden Spiral

� Examples in Nature, Human Biology and Human Decision Making

� Connection to the Wave Principle

� Fibonacci Ratios and Multiples, Golden Section

� Amplitude RelationshipsRetracements � Corrective WavesMultiples � Impulse and Corrective Waves

� Fibonacci Dividers

� Time Relationships

� Fibonacci Clusters

� Summary

Golden Ratio, PHI,

The Golden Ratio

.618 or 1.618

The Golden Spiral

The Golden Spiral in Nature

The Golden Ratio in DNA

The Golden Ratio in the Human Body

The Golden Ratio in Human Decision Making

Binary-Choice Under Conditions of Uncertainty

Opinion is predisposed to 62/38 inclination.

62% is associated with positive responses.

38% is associated with negative responses.

Fibonacci-Based Behavior in Financial Markets

Golden Ratio, PHI,

Fibonacci Ratios and Multiples

Fibonacci Sequence Ratio Inverse

Adjacent .618 1.618 (1.618)1

Alternate .382 2.618 (1.618)2

2nd Alternate .236 4.236 (1.618)3

3rd Alternate .146 6.854 (1.618)4

4th Alternate .090 11.089 (1.618)5

Fibonacci Relationships are Seenin Time and Amplitude

� Retracements

� Multiples

Amplitude

Retracements

Multiples in Impulse Waves

Net of waves 1 through 3 times .382 = percent movement of wave 5

Multiples in Impulse Waves with Extensions

Fibonacci Dividers in Impulse Waves

Multiples within Corrective Waves � Zigzags

Fibonacci Relationships

Single Zigzag

� Wave C = Wave A

� Wave C = .618 Wave A

� Wave C = 1.618 Wave A

� Wave C = .618 Wave A past Wave A

Double Zigzag

� Wave Y = Wave W

� Wave Y = .618 Wave W

� Wave Y = 1.618 Wave W

� Wave Y = .618 Wave W past Wave W

Triple Zigzag

� Equality for W, Y and Z

� Ratio of .618, i.e. Wave Z = .618 Wave Y

Multiples within Zigzags

Guidelines for Typical Retracementsof Wave A by Wave B in Zigzags

Wave B Net Retracement (%)

Zigzag 50-79

Triangle 38-50

Running Triangle 10-40

Flat 38-79

Combination 38-50

Multiples for Flats

Fibonacci Multiples for Expanded Flats

Multiples within Flats

Multiples for Triangles

Fibonacci Time Relationships

The progression of years from the 1928 (possible orthodox) and 1929 (nominal) high of the last Supercycle produces a Fibonacci sequence:

1929 + 3 = 1932 bear market bottom

1929 + 5 = 1934 correction bottom

1929 + 8 = 1937 bull market top

1928 + 34 = 1962 crash bottom

1928 + 55 = 1983 probable Supercycle peak

Fibonacci Time Dividers in Impulse Waves

Multiple Fibonacci Relationships

Fibonacci Clusters

Summary

� The Fibonacci Ratio ( ), an irrational number approximating .618, known as the Golden Ratio, is found in nature, human biology, human thought, and aggregate human behavior such as the stock market.

� The Wave Principle is a robust fractal governed by Fibonacci mathematics.

� Sharp wave corrections tend to retrace 61.8% or 50% of the previous wave.

� Sideways corrections tend to retrace 38.2% of the previous wave.

� Subdivisions of impulse waves tend to be related by Fibonacci numbers .618, 1.0, 1.618 and 2.618.

� Subdivisions of corrective waves tend to be related by Fibonaccinumbers .382, .618, 1.0 and 1.618.

Elliott Wave International

770-536-0309 or 800-336-1618

www.elliottwave.com

How You Can Identify Turning Points Using Fibonacci 2008 Elliott Wave International 2 Understanding...

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