0.786 Fibonacci Retracement Level

In standard classical charting, many analysts abandon a trend hypothesis the moment price retraces beyond the 61.8% Golden Ratio, assuming that a breakdown past 0.618 confirms a complete trend failure. In structural market geometry, this assumption is dangerously premature. There exists a vital, secondary harmonic threshold that serves as the final line of defense before […]

0.500 Fibonacci Retracement Level

In strict mathematical taxonomy, the number 0.500 is not a pure Fibonacci ratio generated by dividing adjacent numbers in the sequence. Yet in the empirical geometry of market charts, 0.500 is one of the most powerful and heavily respected retracement levels in technical analysis. Ralph Nelson Elliott, W.D. Gann, and modern quantitative analysts all recognize […]