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# Fibonacci Retracements

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### Fibonacci Retracements

1. 1. Technical Analysis -Fibonacci Retracements 1NSFX Trading Desk
2. 2. Agenda •Who is Fibonacci? •What are Fibonacci Retracements? •Why are they followed? 2NSFX Trading Desk
3. 3. Who is Fibonacci? • Leonardo Pisano, was born in Pisa during the 12th century, and he is most prominently recognized for his publication of the modern numbering sequence called Fibonacci series. • Although Leonardo was not responsible for discovering the number sequence, it was his publication of Liber Abaci in 1202 which introduced it to the West. 3NSFX Trading Desk
4. 4. The Golden Ratio • 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987 to infinity • If you divide one number by the previous one, the ratio approaches 1.618 – anywhere along the sequence. This is called the ‘golden ratio’. It has been used in classical architecture, art, and music as being the most perfect to our human senses. It is the number that mathematically describes the natural growth of systems (such as, some argue, the financial markets). 4NSFX Trading Desk
5. 5. NSFX Trading Desk 5
6. 6. What are Fibonacci Retracements? NSFX Trading Desk 6 • Fibonacci retracements use horizontal lines to indicate areas of support or resistance at the key Fibonacci levels before the trend continues in the original direction. • These levels are created by drawing a trend- line between two extreme points and then dividing the vertical distance by the key Fibonacci ratios of 23.6%, 38.2%, 61.8% and 76.4%.
7. 7. How we get Fibonacci levels. • 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987 to infinity, and the key Fibonacci ratios are 0%, 23.6%, 38.2%, 61.8%, and 100%. • The 0% & 100% levels are the start and end level, or high and low points of the wave. • The 0.236 ratio is found by dividing any number in the sequence by the number that is three places to the right. • The 0.382 ratio is found by dividing any number in the sequence by the number that is found two places to the right. • The key Fibonacci ratio (Golden Ratio) of 0.618 is derived by dividing any number in the sequence by the number that immediately follows it. • The 0.764 ratio is the result of subtracting 0.236 from the number 1. • Finally, the 0.500 ratio is a true recognized Fibonacci level, but still applied by many traders in technical analysis and a measure of a mid-level in the current wave. NSFX Trading Desk 7
8. 8. Fibonacci Levels continued. 8NSFX Trading Desk
9. 9. Why are they followed? • Following Leonardo’s book, Liber Abaci, the theory gradually became accepted in the Financial Markets following the 1990s. • The more accepted and used an indicator is the more powerful, Fibonacci levels are widely used and therefore you should be aware of them while trading. NSFX Trading Desk 9
10. 10. Examples 10NSFX Trading Desk
11. 11. NSFX Trading Desk 11