Although many will use lines in order to make support and resistances, others might use curves, this is logical since trends are not always linear. Therefore it was also important to take this into consideration, and when i published the price-line channel indicator, i already started a curved version of it. Therefore i propose this new indicator based on the recursive bands framework that allow to return curved support and resistances. The benefits of this indicator are : a totally stable approach, user friendly, and extremities able to converge faster toward the price.
The indicator is way faster than the price-line channel one, this is due to the fast convergence toward the price of the extremities. Length control the reactivity of the indicator, while mult is more related to the rate of convergence, values of mult lower than 1 will make the curve converge slower,
mult = .5
Higher values of mult will make the extremities converge faster toward the price.
mult = 2
Unlike the price-line channel indicator this one is directly "readjusted", this is due to the fact that the extremities are no longer linear, of course a "perfectly" curved version could come in an update, but for the moment it wasn't really a necessity.
Comparison With Price-Line
The fact that the extremities converge faster toward the price allow to possibly capture more tops/bottoms/retracements. However the extremities of both indicator have the same behavior regarding their accuracy, for example the upper extremity have a higher chance to detect a retracement when on a downtrend, while the lower extremity have higher chance to detect a retracement while on a up-trend.
On The Indicator Construction
The recursive bands framework is the core of the indicator, it is important to use it. The curved effect is given by multiplying the correction factor by the barssince function, therefore the correction factor is no longer constant which in return allow for a non linear output.
The size is divided by the square of length in order to keep a certain logic between the output and the length period.
The recursive bands framework prove again to be quite interesting, lot of indicators can be made using it, i only posted a fraction of what can be done with it, which make the recursive bands indicator one of the best indicators i ever made in my opinion.
The proposed indicator is stable, and don't require nightmarish manipulations (unlike the linear channels indicator), its ability to detect possible support and resistances points, although subjective, remain a feature of the indicator. The use of recursion make the indicator efficient. I hope the indicator find some use in the community.
Thanks for reading !
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You can also check out some of the indicators I made for luxalgo : https://www.tradingview.com/u/LuxAlgo/#published-scripts
In true TradingView spirit, the author of this script has published it open-source, so traders can understand and verify it. Cheers to the author! You may use it for free, but reuse of this code in a publication is governed by House Rules. You can favorite it to use it on a chart.