## Who was Fibonacci?

Leonardo Pisano, was Italian mathematician born in Pisa during the The middle Ages. He was renowned as one of the most talented mathematicians of his day. . The name Fibonacci itself was a nickname given to Leonardo. It was derived from his grandfather’s name and means son of Bonaccio. While most attribute the Fibonacci Sequence to Leonardo, he was not responsible for discovering the sequence.

In 1202 Leonardo published a book called, Liber Abaci. In it he derived a method for calculating the growth of the rabbit population. Suppose a newly-born pair of rabbits, one male, one female, are put in a field. Rabbits are able to mate at the age of one month so that at the end of its second month a female can produce another pair of rabbits. Suppose that our rabbits never die and that the female always produces one new pair (one male, one female) every month from the second month on. The puzzle that Fibonacci posed was…

# Fibonacci and How do his Methods Apply to Trading

How many pairs will there be in one year?

At the end of the first month, they mate, but there is still one only 1 pair.

At the end of the second month the female produces a new pair, so now there are 2 pairs of rabbits in the field.

At the end of the third month, the original female produces a second pair, making 3 pairs in all in the field.

At the end of the fourth month, the original female a second pair, making 3 pairs in all in the field.

At the end of the fourth month, the original female has produced yet another new pair, the female born two months

ago produces her first pair also, making 5 pairs.

## How do his Methods Apply to Trading

This mathematical progression is now recognized as the Fibonacci Sequence. Starting with zero and adding one, each new number in the sequence is the sum of the previous two numbers. In our example, 0+1 = 1, 1+1=2, 1+2=3,2+3=5, and so on. The sequence of numbers looks like this: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, to infinity. From this sequence you can easily reason that at the end of one year there would be 233 pairs of rabbits.

This sequence has repeatedly appeared in popular culture from architecture to music to television. While the series is a powerful tool, the analysis of one number with the number up to four places to the right. The first three are shown below. While some are not exact, if you repeat this mathematical analysis through multiple sets of data, you will see we arrive at some well known and fairly consistent ratios.

### Fibonacci as a Technical Analysis Tool

While there have been countless books and articles written on the use of Fibonacci in technical analysis, the basics are simple. On the price scale, these ratios, and several others related to the Fibonacci sequence, often indicate levels at which strong resistance and support will be found. Many times, markets tend to reverse right at levels that coincide with the Fibonacci ratios. On the time scale Fibonacci ratios are one method of identifying potential market turning points. When Fibonacci levels of price and time coincide you have high probability entry points.

*Two most common applications of Fibonacci:*

• Price Retracements – A strategy for quality entry points

• Price Extensions – An approach to determining how far price will run

Then after we have covered the basics we will talk about bringing it all together and using both Fibonacci Retracements

and Fibonacci Extensions at same time and how clustering of these ratios increases the probability of profit.