Quote from TraderZones:
fib levels are not more significant than any other level. Studies such as the following (attached):
"Our conclusion must be that there is no significant difference between the frequencies with which price and time ratios occur in cycles in the Dow Jones Industrial Average, and frequencies which we would expect to occur at random in such a time series. In our introduction, we noted that empirical evidence from academic studies suggests that not all of technical analysis can be dismissed prima facie. The evidence from this paper suggests that the idea that round fractions and Fibonacci ratios occur in the Dow can be dismissed."
Same post to this guy, different forum:
I see what you're saying. I don't think there's any special magic in the fib numbers themselves, but it's more of a visual gauge for people. For example, a 50% retracement is a 1/2, and 61.8 is about 2/3. I don't take trades just because I'm at a fib level either... I wait for my momentum indicator and price action to line up.
Fib extensions are kind of the same... 100% extension equals the same move as the previous run, minus the retracement. From my experience, the extension levels are very accurate, especially 61, 100, and 138. There's no way you can tell me the market doesn't react to those levels... just happens to much.