Fibonacci Time PeriodsThe " Fibonacci Time Periods " indicator uses power exponents of the constant Phi based on your custom time period to generate Fibonacci sequence-based progression on a given chart. This tool can help to anticipate the timing of potential turning points by highlighting Fib time zones where significant price movements may occur.
It is different from other alternatives specifically for the ability to alter the rate of progression .
Most famous regular Fib sequence expands with 1.618^(n+1) rate which produces vast change just after few iterations.
Those ever-expanding big intervals don't allow us to cover the smaller details of the chart which we might find crucial. So, the idea was born to break down the constant Phi to a self-fraction using power exponents. In other words, reducing rate of progression to make the expansion more gradual without losing properties of Fibonacci proportions.
Default settings have a rate of 0.25 which is basically Phi^1/4
That means we expect 4x more lines than in regular sequence to cover missing bits owing to formula: 1.618^(0.25*(n+1))
(Line 0.618 is added to enhance visual orientation and perception of proportions)
How it works:
Exponential rate of progression
First, it works out the difference between your custom start (0) and end (1) period
The result is multiplied by 1.618^rate to get the step
Rest lines are created by iterations. For instance, with default rate of 0.25, the 1st generated line = start + (End-Start)*1.618^0.25* 1 , second line = start + (End-Start)*1.618^0.25* 2 , etc.
If we change the rate to 1 it will produce the regular fib sequence with 1.618^(n+1) rate
Fixed rate of progression:
In this mode, when rate is 0.25, it grows exactly with exponent step of 0.25 so first, second, third, etc generated lines also have the fixed exponent of 0.25. The distance between lines do not expand.
How to use:
Set the start and end dates
Choose the type of progression
Choose your desired rate of progression
Customize the colors to match your chart preferences.
Observe the generated Fibonacci time intervals and use them to identify potential market movements and reactions.
Exponent
Hurst Exponent Market Phases [DW]This study is an experiment designed to identify market phases using changes in an approximate Hurst Exponent.
The exponent in this script is approximated using a simplified Rescaled Range method.
First, deviations are calculated for the specified period, then the specified period divided by 2, 4, 8, and 16.
Next, sums are taken of the deviations of each period, and the difference between the maximum and minimum sum gives the widest spread.
The rescaled range is calculated by dividing the widest spread by the standard deviation of price over the specified period.
The Hurst Exponent is then approximated by dividing log(rescaled range) by log(n).
The theory is that a system is persistent when the Hurst Exponent value is above 0.5, and antipersistent when the value is below 0.5.
The color scheme indicates 4 different phases I found to be significant in this formula:
- Stabilization Phase
- Destabilization Phase
- Chaos Increase Phase
- Chaos Decrease Phase
This script includes two visualization types to choose from:
- Bar Counter Mode, which displays the number of bars the exponent is consecutively in each phase.
- Hurst Approximation Mode, which displays the approximated exponent value.
Custom bar colors are included.
Please note: This is a rough estimate of the Hurst Exponent. It is not the actual exponent. Numerous approximations exist, and their results all differ slightly.
