Fibonacci Moving Average PlusFibonacci Moving Average Plus is a sophisticated technical indicator that employs the first 15 numbers of the Fibonacci sequence to create dynamic moving average channels. This indicator aims to capture both immediate and long-term price movements by calculating Exponential Moving Averages (EMAs) based on these Fibonacci values. By using Fibonacci-based moving averages for both high and low price points, the indicator generates a visual channel that reflects the ebb and flow of market trends, acting as potential zones of support and resistance. Additionally, the indicator provides midline, retracement, and extension levels rooted in Fibonacci ratios, which are frequently observed as key levels for reversals or trend continuation.
Ideology Behind Using Fibonacci Sequence-Based Moving Averages
The Fibonacci sequence, known for its mathematical harmony and prevalence in natural patterns, is widely utilized in technical analysis to identify potential turning points in markets. In this indicator, the first 15 Fibonacci numbers (5, 8, 13, 21, etc.) are used as the lookback periods for EMAs to capture different layers of market sentiment. These moving averages represent timeframes that are theoretically in alignment with the natural rhythms of market cycles, where key levels—often coinciding with Fibonacci numbers—can act as magnetic points for price.
The Fibonacci high and low channels aim to encapsulate price action, giving traders a sense of whether the market is trending, consolidating, or experiencing reversal pressure. These levels, grounded in both mathematics and market psychology, help traders spot areas where price might face resistance or find support.
Key Features
Fibonacci Moving Average High and Low: This indicator calculates the high and low EMAs based on Fibonacci sequence numbers (e.g., 5, 8, 13, etc.) for enhanced trend analysis.
Golden Pocket Retracement (GPR) and Extension (GPE) Bands: Displays common Fibonacci retracement and extension levels (0.618, 0.65 for retracement, and 1.618, 1.65 for extension).
Midline: Plots the average of the Fibonacci high and low to act as an additional reference level.
Stop-Loss Levels: Provides suggested stop-loss levels based on Fibonacci levels for both long and short positions.
Basic User Guide
Adjust Input Settings:
Input Timeframe: Set a specific timeframe for the Fibonacci moving average calculation, separate from the chart's primary timeframe.
Show Fibonacci MA High/Low: Toggle the visibility of the high and low Fibonacci moving averages.
Show Mid Line: Display a midline for added trend reference.
Show Golden Pocket Bands: Choose to display retracement or extension bands for potential support or resistance zones.
Show Stop-Loss Levels: Enable to visualize potential stop-loss levels for both long and short trades.
Interpretation:
Fibonacci MA High and Low: Use these lines to gauge the general trend. When the price is above both, it may indicate an uptrend; below both, a downtrend.
Golden Pocket Retracement: This zone (between 0.618 and 0.65) is often a key level for potential reversals or support/resistance.
Golden Pocket Extension: The 1.618 and 1.65 levels can indicate potential profit-taking or trend exhaustion points.
Stop-Loss Levels: The calculated stop-loss levels (long SL below and short SL above) can aid in risk management.
Customization:
You can customize the appearance and visibility of each component through the input settings to fit your specific strategy and visual preferences.
This indicator should be used alongside other technical analysis tools to provide a more comprehensive trading approach.
This Indicator would not exist without the original contributions and blessing from Sofien Kaabar
Goldenratio
Automatic Fibonacci Retracement Golden Pocket (GP)Main info
This script automatically draws you the Fibonacci retracement level called golden pocket from the latest detected pivot point to the actual price. This level is very popular among traders because the price tends to reverse on this level pretty often. You should use this on higher timeframes 15m+.
It is good to keep in mind that this level alone is not enough, you should still have another level there to enter the trade, for example golden pocket in combination with a demand zone is pretty solid. :)
Settings
The length for pivot point calculation is available in the script settings.
You can enable inverted golden pocket (for shorts)
You can hide/show the pivot point labels
If you want any updates, just feel free to write me :)
Fibonacci Golden Wave | Flux Charts💎 GENERAL OVERVIEW
Introducing the new Fibonacci Golden Wave indicator! This indicator plots the Fibonacci golden zone from the last highs / lows instead of the pivots so that the resulting zone is shaped like a "wave". We believe this will help you to see the latest trend of the Fibonacci retracement levels easier. For more information of the working progress of the indicator, check the "How Does It Work" section of the description.
Features of the new Fibonacci Golden Wave Indicator :
Plots Fibonacci Golden Zone Based On Highs / Lows
A Different Approach To Fibonacci Retracement Levels
Customizable Swing Range & Retracement Levels
Customizable Visuals
🚩UNIQUENESS
The Fibonacci Golden Zone is a widely used concept in trading. To achieve the golden zone, the Fibonacci retracement levels are generally placed between pivot high / lows, resulting in a rectangular zone. However, this indicator will place the Fibonacci retracement levels between the last highest / lowest points going back from the current bar, resulting in a "wave" shape. This will help traders understand the latest trend of the Fibonacci golden zone. The ability to change the Fibonacci retracement levels to your liking in the settings is another unique function of this indicator.
📌 HOW DOES IT WORK ?
To calculate the Fibonacci wave, first of all we need to place a line at the lowest low and the highest high of the last 20 bars (can be changed from the settings)
Then, Fibonacci retracement levels are placed between those lines.
For the next step, put two points in the (1.0 - 0.618) = 0.382 and (1.0 - 0.5) = 0.5 (can be changed from the settings) levels of the Fibonacci retracement.
Repeat this step for each bar in the chart, then connect all the points.
Instead of a pivot approach to the Fibonacci retracement levels, this approach will not need a new pivot point to form before calculating the new Fibonacci golden zone, thus indicating the latest trend of the current golden zone.
🚨HOW YOU CAN USE THIS INDICATOR
Fibonacci retracement tool is typically used to find entries after a pullback in an uptrend or downtrend. The Fibonacci Golden Wave can be used in the same way. It can be used to find entries after markets retrace. In this example, the Fibonacci Golden Wave is able to catch 2 pullback opportunities to enter long in the market with the trend.
⚙️SETTINGS
1. General Configuration
Swing Range -> This setting determines how the highest high / lowest low levels are calculated. This essentially means that the script will look back X bars before the current bar in calculation to find the highest / lowest wick points.
2. Golden Zone
Here you can select which range of the Fibonacci retracement levels should be considered as the golden zone. The default value is 0.5 - 0.618.
Golden Level Predictions v1.0Golden Level Predictions (GLP) Trading Indicator
This script introduces a custom trading indicator named "GLP" tailored for the TradingView platform. It offers various price levels derived from Fibonacci calculations and other mathematical models, assisting traders in pinpointing potential overpriced and discounted price levels.
Key Features:
User Inputs : Users have the flexibility to select their desired timeframe, with options ranging from Weekly, Daily, Monthly, and more. Additionally, they can opt to showcase Fibonacci lines and the associated prices within these levels.
Price Level Calculations :
- Employs constants such as the Golden Ratio (PHI) and Pi (PI) to extract various multipliers and factors.
- Assesses if the current asset is a cryptocurrency and tweaks calculations accordingly.
- Determines overpriced and discounted price levels, drawing from the current open price and past data.
Fibonacci Levels :
- For each overpriced and discounted level, the script computes intermediary Fibonacci levels, including 23.6%, 38.2%, 50%, 61.8%, and 78.6% (the 3rd level is excluded due to plot limitations).
- These levels are illustrated on the chart, granting traders a more detailed view of price targets.
Visual Elements :
- Projects horizontal lines to the subsequent selected indicator interval for every calculated price level.
- Exhibits potential percentage gains or losses at each tier, indicating the prospective price alteration upon reaching that level.
- Differentiates overpriced (green) and discounted (red) levels using color codes. A neutral price is depicted in yellow.
Anticipated Close Calculation : Offers a projected closing price for the current timeframe, based on a myriad of factors.
This indicator is particularly effective with cryptocurrencies due to their inherent volatility. It's also compatible with stocks and is most efficient with tickers that provide volume data.
Bitcoin Golden Pi CyclesTops are signaled by the fast top MA crossing above the slow top MA, and bottoms are signaled by the slow bottom MA crossing above the fast bottom MA. Alerts can be set on top and bottom prints. Does not repaint.
Similar to the work of Philip Swift regarding the Bitcoin Pi Cycle Top, I’ve recently come across a similar mathematically curious ratio that corresponds to Bitcoin cycle bottoms. This ratio was extracted from skirmantas’ Bitcoin Super Cycle indicator . Cycle bottoms are signaled when the 700D SMA crosses above the 137D SMA (because this indicator is closed source, these moving averages were reverse-engineered). Such crossings have historically coincided with the January 2015 and December 2018 bottoms. Also, although yet to be confirmed as a bottom, a cross occurred June 19, 2022 (two days prior to this article)
The original pi cycle uses the doubled 350D SMA and the 111D SMA . As pointed out this gives the original pi cycle top ratio:
350/111 = 3.1532 ≈ π
Also, as noted by Swift, 111 is the best integer for dividing 350 to approximate π. What is mathematically interesting about skirmanta’s ratio?
700/138 = 5.1095
After playing around with this for a while I realized that 5.11 is very close to the product of the two most numerologically significant geometrical constants, π and the golden ratio, ϕ:
πϕ = 5.0832
However, 138 turns out to be the best integer denominator to approximate πϕ:
700/138 = 5.0725 ≈ πϕ
This is what I’ve dubbed the Bitcoin Golden Pi Bottom Ratio.
In the spirit of numerology I must mention that 137 does have some things going for it: it’s a prime number and is very famously almost exactly the reciprocal of the fine structure constant (α is within 0.03% of 1/137).
Now why 350 and 700 and not say 360 and 720? After all, 360 is obviously much more numerologically significant than 350, which is proven by the fact that 360 has its own wikipedia page, and 350 does not! Using 360/115 and 720/142, which are also approximations of π and πϕ respectively, this also calls cycle tops and bottoms.
There are infinitely many such ratios that could work to approximate π and πϕ (although there are a finite number whose daily moving averages are defined). Further analysis is needed to find the range(s) of numerators (the numerator determines the denominator when maintaining the ratio) that correctly produce bottom and top signals.
OhManLan Golden CloudThis indicator is a modification of the popular Ichimoku indicator, build high/low channels using the Golden Ratio, Volume-weighted average price allows smoother components.
high/low channels moves based on Fibo Levels (Golden Ratio: 1.618).
- Settings -
The indicator can be adjusted to your needs.
- How to use -
OhManLan Golden can be used a Support/Resistance , Stop loss, Trailing stop and Price target.
Volume-weighted average price allows smoother components.
Can be used with other indicators such as Moving Average Convergence Divergence (MACD).
[SS]_TrendAVGZones_and_GoldenRatioMAThe _TrendAVGZones_and_GoldenRatioMA is an indicator that is composed first of a channel made of three price averages ( base average, middle lower and middle upper ) in red is the previous corrections average and in green the previous rises average. So that way we the setting of stop loss targets and price targets can be set up at first glance. It adjusts to any timeframe so no worries 'bout that.
Also I added two exponential moving averages ( white and silver lines ) on the chart which I modified their equations by multiplying as it follows :
is the simple modification I added to fine tune it's precision and after some trials and errors I finally found a perfect spot. Now I tried it with historical data of Bitcoin and when the two Golden Ratio EMA crosses there's a big move coming imminently : if the white one is on top of the silver one the trend is bullish inversely the white one finds itself under the silver line then it needs to cross to expect a reversal.
rphi = 0.6180339887498948 = is the conjugate root of the golden ratio also called the silver ratio
phi = 1.6180339887498948 = golden ratio
It should be used to find short to mid term price targets selling as well as buying ones. If you're a long term trader I suggest using trend lines analysis in combination with it.
I hope to make this indicator a community owned indicator so don't hesitate to perfect it so we can build the best tool traders can hope for ! Together we will no longer ask wen lambo? we will get it!
IF you've got any question you can always DM me
take care of yourselves you future millionaires :D
-SS
Pythagorean Means of Moving AveragesDESCRIPTION
Pythagorean Means of Moving Averages
1. Calculates a set of moving averages for high, low, close, open and typical prices, each at multiple periods.
Period values follow the Fibonacci sequence.
The "short" set includes moving average having the following periods: 5, 8, 13, 21, 34, 55, 89, 144, 233, 377.
The "mid" set includes moving average having the following periods: 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597.
The "long" set includes moving average having the following periods: 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181.
2. User selects the type of moving average: SMA, EMA, HMA, RMA, WMA, VWMA.
3. Calculates the mean of each set of moving averages.
4. User selects the type of mean to be calculated: 1) arithmetic, 2) geometric, 3) harmonic, 4) quadratic, 5) cubic. Multiple mean calculations may be displayed simultaneously, allowing for comparison.
5. Plots the mean for high, low, close, open, and typical prices.
6. User selects which plots to display: 1) high and low prices, 2) close prices, 3) open prices, and/or 4) typical prices.
7. Calculates and plots a vertical deviation from an origin mean--the mean from which the deviation is measured.
8. Deviation = origin mean x a x b^(x/y)/c.
9. User selects the deviation origin mean: 1) high and low prices plot, 2) close prices plot, or 3) typical prices plot.
10. User defines deviation variables a, b, c, x and y.
Examples of deviation:
a) Percent of the mean = 1.414213562 = 2^(1/2) = Pythagoras's constant (default).
b) Percent of the mean = 0.7071067812 = = = sin 45˚ = cos 45˚.
11. Displaces the plots horizontally +/- by a user defined number of periods.
PURPOSE
1. Identify price trends and potential levels of support and resistance.
CREDITS
1. "Fibonacci Moving Average" by Sofien Kaabar: two plots, each an arithmetic mean of EMAs of 1) high prices and 2) low prices, with periods 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181.
2. "Solarized" color scheme by Ethan Schoonover.
Center Of Gravity OscillatorThe COG Oscillator (center of gravity) is an indicator based on statistics and the Fibonacci golden ratio. It uses ALMA as a trigger and LSMA as "zero line". The trigger is set tight by default but can be tweaked by adjusting the window size and sigma in settings. This is a great indicator for setting up trades and spotting reversals. There are 2 main strategies that come with this indicator:
Strategy 1: Long positions are entered when current low point is higher than previous low. Short positions are entered as current high is lower than previous high. (Shown in image above)
Strategy 2 : If market is bullish long trades are entered as COG line crosses over red LSMA line. Traders have the option of scalping the first crossover or even scaling out of trade to close on second exit. This works the opposite for shorts when market is bearish.
Above shows different configurations of the indicator. Top shows length of 50, Middle has length of 21 and bottom is default 9.
Beam Bands + Fibonacci LevelsThis indicator calculates the Fibonacci retracement levels based on beam bands. As you can see the price very often reacts to these levels.
Euler Cubes - CubᵋI give you the "Euler Cubes", inspired by the mathematical number 'e' (Euler's number).
It is suggested (fibonacci ratios analogy) that price/e ratio can give Support/Resistance area's.
The first cube is made by a low/high of choice, for example:
You set the 'source low'/'source high' in position:
Then you choose the 'e ratio' (x times 'e')
This multiplies the distance 'high-low' times '0.271828' times 'the set number' .
For example, choosing 5 gives 5 x 0.271828 = 1.35914, the distance 'high-low' hereby multiplied by 1.35914, the following cubes multiply the previous distance by 1.35914.
(Settings below 5 will give cubes smaller than the 'high-low' distance)
In the case of x times 'e' = 5:
You can extend the lines:
Now you can give it an angle:
Do mind, using it over very little bars and using an angle can cause some lines to not align as intended, because for now, it is not possible to plot in between bars.
There are also 'Euler' SMA and EMA available with following length's:
27, 54, 82,109, 136, 163, 190 and 217
Cheers!
Fiveral: Repulsion/Golden Radio HackAnother in a series of experimental indicators using logarithmic scale visualisation.
This one extends into some work on I've been doing on 'the cube', but Pine isn't liking multiple log lines even when the equations are included for each plotted variable, meaning, no variables used in the definition of a variable, as is done here. As a result, accuracy of this indicator can't be guaranteed between scales, or during use.
Have at it, and enjoy!
Pi Cycle Top IndicatorIndicator Overview
The Pi Cycle Top Indicator has historically been effective in picking out the timing of market cycle highs to within 3 days.
It uses the 111 day moving average (111DMA) and a newly created multiple of the 350 day moving average, the 350DMA x 2.
Note: The multiple is of the price values of the 350DMA not the number of days.
For the past three market cycles, when the 111DMA moves up and crosses the 350DMA x 2 we see that it coincides with the price of Bitcoin peaking.
It is also interesting to note that 350 / 111 is 3.153, which is very close to Pi = 3.142. In fact, it is the closest we can get to Pi when dividing 350 by another whole number.
It once again demonstrates the cyclical nature of Bitcoin price action over long time frames. Though in this instance it does so with a high degree of accuracy over the past 7 years.
How It Can Be Used
Pi Cycle Top is useful to indicate when the market is very overheated. So overheated that the shorter term moving average, which is the 111 day moving average, has reached a x2 multiple of the 350 day moving average. Historically it has proved advantageous to sell Bitcoin at this time in Bitcoin's price cycles.
Created By
Philip Swift
Golden Ratio MultiplesI call this "Phi Ribbons." The Golden Ratio, also known as Phi, is fantastic at predicting areas of price reversal.
Every moving average is a fibonacci multiple of the base function 355 SMA .
The rainbow above is an array of fibonacci multiples that are greater than one (1.618, 2, 2.618, 3, 5, 8, 13, 21)
The rainbow below is an array of fibonacci multiples that are less than one (0.786, 0.618, 0.5, 0.382, 0.236, 0.14)
Notice the precision of marking areas of potential price reversals
EASTER EGG: The two moving averages at the top of the script are 355 SMA & 113 SMA . This is one of the lowest ratios that closely approximates Pi (3.14159).
Simply plotting the 133 SMA will add a unique feature:
355/133 = 3.14159
When the 113 crosses below the 355 it tends to mark the end of major bullish impulses, and a crossover is a bullish sign.
Fib Thermometer - S&P500Fib Retracement is such an amazing tool 😎 , and when u incorporate it onto a chart, no matter a forex , stock or future one, you will always secure some important and meaningful levels for your trading. I am not a huge fan of it actually 😵, but I would say it is an eye opener for me, because sometimes things don't fully make sense will make you money. I can't deny its popularity in our community and also in the trading world.
In this script, I am not intending to give a brand new version of auto drawing fib levels, but to catch the optimal timings to buy the upcoming rally after a crash 😊. Buying the dips is the approach to get rich , right? But more wisely, we can instead to buy the higher lows , not the lowest lows in order to avoid the bankruptcy risk. Nothing advanced to teach here, doing so just takes your extra patience and willingness to seek confirmation. 🕵
To cut it short, I have utilized 52-week highs and lows and two important fib levels (0.236 and 0.618) , with ten most heavily weighted stocks in s&p500 index to create some awesome signals. The rationale is first defining two fib levels with the 52-week-high-low range, then if those stocks rebounded just higher than 0.236 levels, we can confirm the trend has changed and start our buying . For the 0.618 level, you can use it as a profit taker , or a sell signal during the bull run. What decides a trend continuation or a trend change is the degree of the retracement , and 0.236 would be an ideal level to confirm the trend has changed.😃
For your own convenience, you can amend or diy the script to make it work for you by simply put your favorite stocks or indexes on the list. Hope you find it really helpful and HAPPY TRADING!!! 😃
If you find my scripts useful, please click the FOLLOW button and I am VERY VERY GRATEFUL.😘
Golden Ratio Fibonacci Multipliers Top Detector [UO]Fibonacci levels that show the critical top and bottom levels. There is no way to miss the top and bottom. And a top detector.
Also the most important SMA lines (SMA 50, 200), EMA21. Those are the most frequently used lines by traders.
This indicator is based on the work of www.tradingview.com
His work set me thinking. Could I also see the bottom using Fibonacci numbers? Yes, of course.
My favorite timeframes with this indicator are 6H, 1D, 3D.
Intensively used for BTC and BNB. And useful for any other coin.
The Golden Ratio MultiplierBy Philip Swift
As Bitcoin continues to progress on its adoption journey, we learn more about its growth trajectory.
Rather than Bitcoin price action behaving like a traditional stock market share price, we see it act more like a technology being adopted at an exponential rate.
This is because Bitcoin is a network being adopted by society, and because it is decentralised money with limited supply, its price is a direct representation of that adoption process.
There are a number of regression analysis tools and stock to flow ratio studies that are helping us to understand the direction of Bitcoin’s adoption curve.
The new tool outlined in this paper brings an alternative degree of precision to understanding Bitcoin’s price action over time. It will demonstrate that Bitcoin’s adoption is not only following a broad growth curve but appears to be following established mathematical structures.
In doing so, it also:
Accurately and consistently highlights intracycle highs and lows for Bitcoin’s price.
Picks out every market cycle top in Bitcoin’s history.
Forecasts when Bitcoin will top out in the coming market cycle.
To begin, we will use the 350 day moving average of Bitcoin’s price. It has historically been an important moving average because once price moves above it, a new bull run begins.
more ...
medium.com
All rights reserved to Philip Swift (@PositiveCrypto)
Golden Short Testing 1.1New version of Golden Short Strategy based on the golden number theory and is for long positions. It has two parameters:
1. Step to form the body of candle to generate a possible enter
2. Number of steps to form the body of the candle
Profit 1: 1:0.61 Risk/Reward Ratio -> WinRate on EURUSD: 61.41%
Values on EURUSD:
Interval: 1h
Step: 0.00022
Body: 3
Golden Long Testing 1.1New version of Golden Long Strategy based on the golden number theory and is for long positions. It has two parameters:
1. Step to form the body of candle to generate a possible enter
2. Number of steps to form the body of the candle
Profit 1: 1:0.61 Risk/Reward Ratio -> WinRate on EURUSD: 66.70%
Profit 2: 1:1.61 Risk/Reward Ratio -> WinRate on EURUSD: 48.04%
Profit 3: 1:3.23 Risk/Reward Ratio -> WinRate on EURUSD: 28.40%
Values on EURUSD:
Interval: 1h
Step: 0.00022
Body: 7
Golden Short TestingThis scripts is based on the golden number theory and is for short entries. It has three parameters:
1. Step of the body i.e: pip-0.0001, cents-0.01
2. Number of steps of the body of the candle
2. Number of contracts to put on 3 orders executed at the same time
Golden Long TestingThese scripts is based on the golden number theory and is for long entries. It has two parameters:
1. Number of pips of the body of candles to put an entry
2. Number of contracts to put on 3 orders executed at the same time
Fractal Regression Bands [DW]This study is an experimental regression curve built around fractal and ATR calculations.
First, Williams Fractals are calculated, and used as anchoring points.
Next, high anchor points are connected to negative sloping lines, and low anchor points to positive sloping lines. The slope is a specified percentage of the current ATR over the sampling period.
The median between the positive and negative sloping lines is then calculated, then the best fit line (linear regression) of the median is calculated to generate the basis line.
Lastly, a Golden Mean ATR is taken of price over the sampling period and multiplied by 1/2, 1, 2, and 3. The results are added and subtracted from the basis line to generate the bands.
Williams Fractals are included in the plots. The color scheme indicated whether each fractal is engulfing or non-engulfing.
Custom bar color scheme is included.
Multi-Timeframe Probability Zones [DW]This is an experimental study based on multi-timeframe price action and a simple average.
Use it to quickly identify MTF support and resistance, and high probability price levels.
NOTE: Because higher timeframe levels are not certain until the interval is closed, refresh your chart as new levels are drawn.
