In finance, Fibonacci retracement is a method of technical analysis for determining support and resistance levels. They are named after their use of the Fibonacci sequence. Fibonacci retracement is based on the idea that markets will retrace a predictable portion of a move, after which they will continue to move in the original direction.
The appearance of retracement can be ascribed to ordinary price volatility as described by Burton Malkiel, a Princeton economist in his book A Random Walk Down Wall Street, who found no reliable predictions in technical analysis methods taken as a whole. Malkiel argues that asset prices typically exhibit signs of random walk and that one cannot consistently outperform market averages. Fibonacci retracement is created by taking two extreme points on a chart and dividing the vertical distance by the key Fibonacci ratios. 0.0% is considered to be the start of the retracement, while 100.0% is a complete reversal to the original part of the move. Once these levels are identified, horizontal lines are drawn and used to identify possible support and resistance levels. See Trend Lines. The significance of such levels, however, could not have been statistically confirmed. Arthur Merrill, CMT determined there is no reliable standard retracement; not 50%, 33%, 38.2,61.8%,or any other. See his book "Filtered Waves."
Bhattacharya, Sukanto and Kumar, Kuldeep (2006) A computational exploration of the efficacy of Fibonacci sequences in technical analysis and trading. Annals of Economics and Finance, Volume 7, Issue 1, May 2006, pp. 219–230. http://epublications.bond.edu.au/business_pubs/32/
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- Fibonacci Retracement: A Myth or Reality? at forexop.com
- What is Fibonacci retracement, and where do the ratios that are used come from? at investopedia.com
- Fibonacci Retracements at stockcharts.com
- Number Sequence Fibonacci Retracement at tradersdaytrading.com