GARCH Improved Nelder Mead MT4

4

Introduction to GARCH Indicator

GARCH is the short initial for Generalized Autoregressive Conditional Heteroskedasticity and it is the volatility prediction model commonly used in financial industry. GARCH model was first appeared in the work by Danish Economist, Tim Peter Bollerslev in 1986. The 2003 Nobel Prize winner, Robert F Engle also added much contribution for the refinement of GARCH model with Tim’s work. Our GARCH INM predictor took the original method of Nelder Mead for GARCH model building. However, the original Nelder Mead’s method occasionally misses convergence and therefore, we improved the original Nelder Mead method by incorporating intermediate ARMA (Autoregressive Moving Average) step before GARCH step.


How to use GARCH Indicator

The whole purpose of GARCH INM predictor is to improve trading performance. Here are few tips.

  1. Our GARCH INM predictor uses point as basic unit. Therefore, the predicted volatility can provide trader scalable idea on future volatility. For example, if GARCH predicted 1120 point (112 pips) for current candle with 95% confidence interval, then you might expect that there is 95% of chance for current market to stay within the 112 pips range.

  2. Detecting anomaly market is also another important function with GARCH. If price range for current market moved outside the predicted volatility (95% confidence interval), then this is the anomaly event with 5% Probability to occur.

  3. Volatility has very close connection to trend. Increasing volatility often tell you start of trend. Filtering out range market using our GARCH INM predictor, you can aim to enter trend market.


Mathematical Description of GARCH

GARCH INM predictor uses standard GARCH (1, 1) model. Its mathematical description is simply relating the variance of time series to previous variance and previous squared return. In mathematical notation, this would be:

Variance at t = omega + alpha * squared return at t-1 + beta * Variance at t-1

Where time series return y at t = mean + error and t = time


Description for input parameters
  • NumberOfObs: Number of observations (data point) to be used for calculation. We recommend minimum 1000 data point.
  • UseHighLow: With use of High-Low mode (true), the range is calculated using high – low. If UseHighLow = false, then close – previous close will be used to calculate range. We recommend using default for your trading.
  • ConfidenceInterval: Confidence Interval for GARCH prediction. We provide 90%, 95% and 99% confidence interval. This confidence interval provides you probabilistic sense for future market range.
  • SafetyFactor: Safety Factor is added for extra safety of trading operation. Safety Factor should be greater than 1. If Safety Factor = 1, then the predicted volatility is equal to original GARCH volatility. If Safety Factor = 1.5, then the predicted volatility will have 50% safe margin over the original GARCH volatility.


Some Trading Ideas with GARCH Nelder Mead


User can adjust Safety Factor from 1.0 to 3.0 to work best for your trading. If GARCH prediction envelope does not touch the price at all, then you can decrease the Safety factor. If GARCH prediction envelope touch the price too often, then you can increase the Safety factor. The main idea is to tune the GARCH prediction to pick extreme bullish or bearish shock in the market. In the shock, use the mean reversion style trading to profit.


Trading Strategy Guide

You can find the detaild trading strategy guide about how to use volatility indicator from the link below. We recommend to read this article before using this volatiltiy indicator for your trading.

Guide for Volatility Indicator


In addition, you can find the trading stratgy for Forex from links below. 

Guide for Volume Spread Analysis

Guide for Harmonic Pattern Detection Indicator

Guide for Momentum Indicator

Guide for Supply Demand Indicator

Guide for Triangle Pattern, Falling Wedge Pattern, Rising Wedge Pattern and Channel

Guide for Elliott Wave Indicator


Important Note

This is the off the shelf product. Therefore, we do not accept any modification or customization request on this product. In addition, we do not provide any code library or any support for your coding for this product.


Değerlendirmeler 5
John Winsome Munar
3471
John Winsome Munar 2022.06.20 15:03 
 

Nice work

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PRO Renko Sistemi, RENKO grafikleri ticareti için özel olarak tasarlanmış son derece hassas bir ticaret sistemidir. Bu, çeşitli ticaret araçlarına uygulanabilen evrensel bir sistemdir. Sistemi etkin piyasa sana doğru ters sinyallerine erişim hakkı denilen ses nötralize eder. Göstergenin kullanımı çok kolaydır ve sinyal üretiminden sorumlu tek bir parametreye sahiptir. Aracı, seçtiğiniz herhangi bir ticaret aracına ve renko çubuğunun boyutuna kolayca uyarlayabilirsiniz. Yazılımımla karlı bir
Identify key turning points with reliable fractal analysis This indicator examines the price structure of fractals of different periods to determine possible reversal points in the market, providing timing to positional traders that already have a fundamental or technical valuation model. Unlike its younger brother, Reversal Fractals , this indicator won't miss reversals because of the period selected, and will find reversal fractals on a zig-zag fashion, ignoring those reversals which do not
Reversal Master
Alexey Minkov
4.81 (16)
Reversal Master helps you read the current direction of price movement and spot potential reversal points on the chart. It is built for traders who want a clearer view of the market situation before making a decision. You can use it as a standalone tool, as an add-on to a ready-made trading system, or as a building block for developing your own strategies. To locate reversal points, Reversal Master evaluates several market conditions at once, since combined analysis gives a more complete picture
RFI levels PRO
Roman Podpora
5 (1)
Bu gösterge, fiyat dönüş noktalarını ve fiyat geri dönüş bölgelerini doğru bir şekilde gösterir.       Başlıca oyuncular   . Yeni trendlerin nerede oluştuğunu görüyorsunuz ve her işlem üzerinde kontrolü elinizde tutarak, azami hassasiyetle kararlar alıyorsunuz. TREND LINES PRO   göstergesiyle birlikte kullanıldığında maksimum potansiyelini ortaya koyar.  VERSION MT5 Göstergenin gösterdiği şey: Yeni bir trendin başlangıcında aktivasyonla birlikte tersine dönüş yapıları ve tersine dönüş seviyeler
Oversold and Overbought Candles, Trendlines, and BUY-SELL arrows in the single Indicator. Built from 8 default MT4 Indicators. Stochastic,RSI,SAR,CCI,RVI,DeMarker,WPR and MA. It is " NON REPAINT " indicator. All buffers do not repaint.  Double Trendline buffers that can also be used to identify sideway market and support resistance area.  Any timeframes and any currency pairs. Parameters: Show Trend . TRUE/FALSE to show trendlines on the chart Follow Trend. If TRUE , Dapitrend will show only
Volume Break Oscillator, fiyat hareketini osilatör biçiminde hacim trendleriyle eşleştiren bir göstergedir. Stratejilerime hacim analizini entegre etmek istedim ancak OBV, Money Flow Index, A/D ve ayrıca Volume Weighted Macd ve diğerleri gibi çoğu hacim göstergesinden her zaman hayal kırıklığına uğradım. Bu nedenle bu göstergeyi kendim için yazdım, ne kadar kullanışlı olduğundan memnunum ve bu nedenle piyasada yayınlamaya karar verdim. Başlıca özellikleri: Fiyatın hacimlerdeki bir artış (kır
Tek bir grafik üzerinden favori indikatörlerinizle her sembolü ve her zaman dilimini izleyin. Ultimate Indicator Dashboard size tek, temiz ve sürüklenebilir bir panelde kapsamlı çoklu sembol, çoklu indikatör ve çoklu zaman dilimi görünümü sunar. Grafikler arasında geçiş yapmayı bırakın. Tüm enstrümanlarınızda RSI, MACD, Bollinger Bands, Ichimoku, ATR, hacim ve daha fazlasını tek bakışta görün. Renk kodlu sinyaller size fırsatların tam olarak nerede olduğunu gösterir ve akıllı uyarılar koşullar d
Advanced Supply Demand
Bernhard Schweigert
4.91 (302)
Özel Ticaret –%30 İndirim Yeni Başlayanlar veya Uzman Yatırımcılar İçin En İyi Çözüm! Bu gösterge, bir dizi özel özellik ve yeni bir formül içerdiği için benzersiz, yüksek kaliteli ve uygun fiyatlı bir işlem aracıdır. Bu güncelleme ile çift zaman dilimi bölgeleri gösterebileceksiniz. Sadece daha yüksek bir zaman dilimini değil, hem grafik zaman dilimini hem de daha yüksek zaman dilimini gösterebileceksiniz: İÇ İÇE GEÇMİŞ BÖLGELER GÖSTERİYOR. Tüm Arz Talep yatırımcıları buna bayılacak. :) Önem
Resmi BlueDigitsFx Ekosistemi Erişimi Altyapı güncellemelerine, işlem kaynaklarına, ürün yayınlarına ve resmi BlueDigitsFx ekosistemine erişim sağlayın. Telegram Ekosistemi Web Sitesi MT5 Sürümü BlueDigitsFx Easy 123 System — MT4 İçin Güçlü Dönüş ve Kırılım Tespit Sistemi Piyasa dönüşlerini ve kırılımları tespit etmek için tasarlanmış, yeniden çizim yapmayan (Non-Repaint) hepsi bir arada sistem — yapı, netlik ve onay temelli işlem yaklaşımına önem veren yatırımcılar için geliştirilmiştir. Blu
M1 Arrow Scalping - shows signals on the M1 period, does not redraw entry points and can work on all major currency pairs + metals (gold/silver). The indicator analyzes the market using algorithms for determining price patterns and shows the trader the price reversal points on the chart. The red dot shows that the price will turn down and the blue dot shows that the price will turn up. The indicator also sends signals to the phone in the form of PUSH notifications. Therefore, you do not need to
TrendLine PRO MT4
Evgenii Aksenov
4.83 (168)
Trend Line PRO   göstergesi bağımsız bir işlem stratejisidir. Trend değişimini, işleme giriş noktasını gösterir ve ayrıca üç seviyede Kar Al ve Zarar Durdur korumasını otomatik olarak hesaplar. Trend Line PRO , tüm Meta Trader sembolleri için mükemmeldir: para birimleri, metaller, kripto para birimleri, hisse senetleri ve endeksler. Gösterge, gerçek hesaplarda işlem yaparken kullanılır ve bu da stratejinin güvenilirliğini doğrular. Trend Line PRO   ve gerçek Sinyal kullanan robotlar burada bu
Zoryk Gold mt4
Reda El Koutbane
5 (1)
ZORYK — MetaTrader 4 için gelişmiş XAUUSD sinyal ve işlem planlama sistemi Bu durumu muhtemelen daha önce yaşadınız. Altını analiz edersiniz, giriş için beklersiniz ve sonunda işlemi açarsınız. Fiyat hemen ters yönde hareket eder. Çok erken kapatırsınız, Stop Loss seviyesini değiştirirsiniz veya birkaç saniye tereddüt edersiniz. Kısa süre sonra piyasa, siz işlemde değilken başlangıçta beklediğiniz yöne ve hedefe ulaşır. Sorun her zaman yön değildi. Asıl sorun belirsizlikti. Tam olarak nere
The Storm Prices indicator is trendy, arrow family. It is easy to work and understand when the first red arrow appears, you need to buy, when the first blue arrow appears, sell. The indicator is used for scalping and pipsing. The indicator makes calculations based on several technical indicators. Determines the direction of the trend and gives a fairly clear indication of the position. The indicator allows you to determine the opportunities for entering the market for a short time. There is a sw
TPSproTREND PrO
Roman Podpora
4.67 (27)
TPSproTrend PRO   - Bu, piyasayı otomatik olarak analiz eden ve trend ile değişimleri hakkında bilgi veren, ayrıca alım satım işlemleri için giriş noktalarını gösteren bir trend göstergesidir.   Yeniden çizmeden! Yeni sürüm       Trend Çizgileri PRO     — Geliştirilmiş giriş noktası tespit algoritması, ek sinyal filtreleme ve güncellenmiş görselleştirme. TALİMATLAR RUSÇA       -     TALİMATLAR       İNG         -     MT5 VERSION Başlıca Faydalar Yeniden çizim yapmadan sinyaller.   Tüm sinyaller
KURAMA GOLD SIGNAL PRO (MT4) — 7 Katmanlı Filtre, Otomatik TP/SL, Kalite Puanı ve Sinyal Geçmişi Kaydı | Eksiksiz XAUUSD Ticaret Sistemi Gerçek zamanlı olarak yeniden çizmez. Bir sinyal belirdiği anda ok, giriş, TP ve SL anında sabitlenir ve sonradan hareket etmez. Sizin işlem yaptığınız şey bu gerçek zamanlı sinyaldir. Ve v7.20'de, gerçekten gönderilen her sinyal otomatik olarak kaydedilir ve yeniden başlatmanın ardından olduğu gibi geri yüklenir. ALICILARA ÖZEL HEDİYE
Prop Firm Sniper
Mohamed Hassan
4.33 (6)
Prop Firm Sniper MT4  is a professional market structure indicator that automatically identifies high-probability BUY and SELL opportunities using BOS and CHoCH analysis. Recommended Timeframes: For backtesting, use the indicator on   M5 or M15   for Gold (XAUUSD), and   M15 or H1   for more volatile Forex pairs such as   GBPUSD, USDJPY, EURGBP , and similar markets. CONTACT ME AFTER PURCHASE TO CLAIM YOUR FREE BONUSES! Prop Firm Sniper  is a professional market structure indicator designed t
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Ace Supply Demand Zone Indicator The concept of supply demand relies on the quantity mismatching between buying and selling volumes in the financial market. Supply and demand zone can provide the good entry and exit. A zone is easier to trade than a line. The supply demand zone can provide the detailed trading plan and the risk management. Its ability to predict market direction is high. There are two distinctive points about Ace Supply Demand Zone Indicator. Ace Supply Demand Zone indicator was
Peak Trough Analysis is the great tool to detect peaks and troughs in your chart. Peak Trough Analysis tool can use three different peaks and troughs detection algorithm. The three algorithm include the orignal Fractals Indicator by Bill Williams, the Modified Fractals indicator and ZigZag indicator. You can use this peak and trough analysis tool to detect the price pattern made up from Equilibrium Fractal-Wave process. For further usage, there are good guide line on how to use this peak trough
FREE
Introduction Harmonic Patterns are best used to predict potential turning point. Traditionally, Harmonic Pattern was identified manually connecting peaks and troughs points in the chart. Manual harmonic pattern detection is painfully tedious and not suitable for everyone. You are often exposed under subjective pattern identification with manual pattern detection. To avoid these limitations, Harmonic Pattern Plus was designed to automate your harmonic pattern detection process. The functionality
Introduction to Harmonic Pattern Scenario Planner The present state of Forex market can go through many different possible price paths to reach its future destination. Future is dynamic. Therefore, planning your trade with possible future scenario is an important step for your success. To meet such a powerful concept, we introduce the Harmonic Pattern Scenario Planner, the first predictive Harmonic Pattern Tool in the world among its kind. Main Features Predicting future patterns for scenario
Introduction This indicator detects volume spread patterns for buy and sell opportunity. The patterns include demand and supply patterns. You might use each pattern for trading. However, these patterns are best used to detect the demand zone (=accumulation area) and supply zone (=distribution area). Demand pattern indicates generally potential buying opportunity. Supply pattern indicates generally potential selling opportunity. These are the underlying patterns rather than direct price action. T
FREE
Introduction to Fractal Pattern Scanner Fractal Indicator refers to the technical indicator that makes use of the fractal geometry found in the financial market. Fractal Pattern Scanner is the advanced Fractal Indicator that brings the latest trading technology after the extensive research and development work in the fractal geometry in the financial market. The most important feature in Fractal Pattern Scanner is the ability to measure the turning point probability as well as the trend probabi
Introduction to Sideways Market Analyzer Notable period of Low volatility and non-trending movements in the financial market is considered as Sideways Market. Sooner or later, the low volatility will increase and the price will pick up a trend after Sideways Market. In terms of trading point of view, Sideways Market can serve as the very good entry timing for traders. Sideways Market is also quite often the representation of accumulation of large orders from big investors. Therefore, knowing the
Introduction Harmonic Patterns are best used to predict potential turning point. Traditionally, Harmonic Pattern was identified manually connecting peaks and troughs points in the chart. Manual harmonic pattern detection is painfully tedious and not suitable for everyone. You are often exposed under subjective pattern identification with manual pattern detection. To avoid these limitations, Harmonic Pattern Plus was designed to automate your harmonic pattern detection process. The functionality
Mean Reversion Supply Demand Indicator Mean Reversion Supply Demand is the indicator to detect the important supply demand zone in your chart. The concept of supply demand trading relies on the quantity mismatching between buying and selling volumes in the financial market. Typically, supply demand zone serves to predict the turning point. The wave pattern, for any supply demand zone to work as an successful trade, looks like the price must touch the base zone, move away and then return to zone
Introduction Auto Chart Alert is a convenient tool to set alert for your trading in your chart. With Auto Chart Alert, you can set the alert line in one click in your desired location in your chart. You can even set alert over the sloped lines in your chart. Auto Chart Alert is a great tool when you have to watch out importnat support and resistance levels for your trading. You can receive the sound alert, email and push notification when the price hit the alert line at you desired location. Au
FREE
Introduction To Time Box Indicator Time Box Indicator is a must have indicator for any trader. It will display daily, weekly and Monthly box according to your preferences. Yet, you can extend any important price levels in your chart automatically. You can use them as the significant support and resistance levels. It is very simple but effective tool for your trading. Graphic Setting Use White Chart Line Style for Current Open price Daily Setting Update Timeframe for daily box Number of days to
FREE
Introduction to Fractal Moving Average Fractal Moving Average indicator was designed as part of Fractal Pattern Scanner. Inside Fractal Pattern Scanner, Fractal Moving Average Indicator was implemented as multiple of chart objects. With over thousands of chart object, we find that it was not the best and efficient ways to operate the indicator. It was computationally too heavy for the indicator. Hence, we decide to implement the indicator version of Fractal Moving Average indicator to benefit ou
FREE
Introduction This indicator detects volume spread patterns for buy and sell opportunity. The patterns include demand and supply patterns. You might use each pattern for trading. However, these patterns are best used to detect the demand zone (=accumulation area) and supply zone (=distribution area). Demand pattern indicates generally potential buying opportunity. Supply pattern indicates generally potential selling opportunity. These are the underlying patterns rather than direct price action. T
FREE
How to use Pair Trading Station Pair Trading Station is recommended for H1 time frame and you can use it for any currency pairs. To generate buy and sell signal, follow few steps below to apply Pair Trading Station to your MetaTrader terminal. When you load Pair Trading Station on your chart, Pair Trading station will assess available historical data in your MetaTrader platforms for each currency pair. On your chart, the amount of historical data available will be displayed for each currency pai
Introduction To Time Box Indicator Time Box Indicator is a must have indicator for any trader. It will display daily, weekly and Monthly box according to your preferences. Yet, you can extend any important price levels in your chart automatically. You can use them as the significant support and resistance levels. It is very simple but effective tool for your trading. Graphic Setting Use White Chart Line Style for Current Open price Daily Setting Update Timeframe for daily box Number of days to
FREE
Introduction Auto Chart Alert is a convenient tool to set alert for your trading in your chart. With Auto Chart Alert, you can set the alert line in one click in your desired location in your chart. You can even set alert over the sloped lines in your chart. Auto Chart Alert is a great tool when you have to watch out importnat support and resistance levels for your trading. You can receive the sound alert, email and push notification when the price hit the alert line at you desired location. Au
FREE
Introduction to Fractal Moving Average Fractal Moving Average indicator was designed as part of Fractal Pattern Scanner. Inside Fractal Pattern Scanner, Fractal Moving Average Indicator was implemented as multiple of chart objects. With over thousands of chart object, we find that it was not the best and efficient ways to operate the indicator. It was computationally too heavy for the indicator. Hence, we decide to implement the indicator version of Fractal Moving Average indicator to benefit o
FREE
Introduction to Order Risk Management EA ORM EA is specially designed for fast and accurate market order execution to be used with our Price Action and Econometric Trading strategies listed below. ORM EA is fully automatic and ORM EA is also very easy to use. ORM EA is totally free of charge. You can also use this robust order execution feature of this ORM EA for any other your own trading strategy. Trading Strategy Guide Order Risk Management EA provides the guide for the risk management for y
FREE
Introduction to GARCH Indicator GARCH is the short initial for Generalized Autoregressive Conditional Heteroskedasticity and it is the volatility prediction model commonly used in financial industry. GARCH model was first appeared in the work by Danish Economist, Tim Peter Bollerslev in 1986. The 2003 Nobel Prize winner, Robert F Engle also added much contribution for the refinement of GARCH model with Tim’s work. Our GARCH INM predictor took the original method of Nelder Mead for GARCH model bu
FREE
Peak Trough Analysis is the great tool to detect peaks and troughs in your chart. Peak Trough Analysis tool can use three different peaks and troughs detection algorithm. The three algorithm include the orignal Fractals Indicator by Bill Williams, the Modified Fractals indicator and ZigZag indicator. You can use this peak and trough analysis tool to detect the price pattern made up from Equilibrium Fractal-Wave process. For further usage, there are good guide line on how to use this peak trough
FREE
Introduction to Order Risk Management EA ORM EA is specially designed for fast and accurate market order execution to be used with our Price Action and Econometric Trading strategies listed below. ORM EA is fully automatic and ORM EA is also very easy to use. ORM EA is totally free of charge. You can also use this robust order execution feature of this ORM EA for any other your own trading strategy. Trading Strategy Guide Order Risk Management EA provides the guide for the risk management for y
FREE
How to use Pair Trading Station Pair Trading Station is recommended for H1 time frame and you can use it for any currency pairs. To generate buy and sell signal, follow few steps below to apply Pair Trading Station to your MetaTrader terminal. When you load Pair Trading Station on your chart, Pair Trading station will assess available historical data in your MetaTrader platforms for each currency pair. On your chart, the amount of historical data available will be displayed for each currency pai
Price Breakout pattern Scanner is the automatic scanner for traders and investors. It can detect following patterns automatically from your chart. Head and Shoulder - Common tradable pattern. Reverse Head and Shoulder - This pattern is the reverse formation of the Head and Shoulder. Double Top - When the price hits resistance level twice and decline toward the support level, the trader can anticipate sudden bearish breakout through the support level. Double Bottom - The double bottom pattern is
Introduction to Sideways Market Analyzer Notable period of Low volatility and non-trending movements in the financial market is considered as Sideways Market. Sooner or later, the low volatility will increase and the price will pick up a trend after Sideways Market. In terms of trading point of view, Sideways Market can serve as the very good entry timing for traders. Sideways Market is also quite often the representation of accumulation of large orders from big investors. Therefore, knowing the
Introduction to Harmonic Pattern Scenario Planner The present state of Forex market can go through many different possible price paths to reach its future destination. Future is dynamic. Therefore, planning your trade with possible future scenario is an important step for your success. To meet such a powerful concept, we introduce the Harmonic Pattern Scenario Planner, the first predictive Harmonic Pattern Tool in the world among its kind. Main Features Predicting future patterns for scenario
Introduction to Smart Renko The main characteristics of Renko Charting concern price movement. To give you some idea on its working principle, Renko chart is constructed by placing a brick over or below when the price make the movement beyond a predefined range, called brick height. Therefore, naturally one can see clear price movement with less noise than other charting type. Renko charting can provide much clearer trend direction and it helps to identify important support and resistance level
Introduction to Support Resistance Indicator Support and Resistance are the important price levels to watch out during intraday market. These price levels are often tested before development of new trend or often stop the existing trend causing trend reversal at this point. Highly precise support and resistance are indispensable for experienced traders. Many typical trading strategies like breakout or trend reversal can be played well around these support and resistance levels. The Precision Sup
This innovative technical indicator was created to detect quiet market period before the beginning of the high volatile market. Like many good technical indicators, this Market Activity Index is very stable and it is widely applicable to many financial and non financial instruments without too much restriction. The Market Activity Index can be used best to visualize the alternating form of low and high volatile market. It is very useful tool to pick up the quiet market but ironically this is the
Elliott Wave Trend was designed for the scientific wave counting. This tool focuses to get rid of the vagueness of the classic Elliott Wave Counting using the guideline from the template and pattern approach. In doing so, firstly Elliott Wave Trend offers the template for your wave counting. Secondly, it offers Wave Structural Score to assist to identify accurate wave formation. It offers both impulse wave Structural Score and corrective wave Structure Score. Structural Score is the rating to sh
Introduction To Turning Point Indicator The trajectories of Financial Market movement are very much like the polynomial curvatures with the presence of random fluctuations. It is quite common to read that scientist can decompose the financial data into many different cyclic components. If or any if the financial market possess at least one cycle, then the turning point must be present for that financial market data. With this assumption, most of financial market data should possesses the multipl
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Elijah Montefalco
185
Elijah Montefalco 2024.05.31 03:37 
 

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John Winsome Munar
3471
John Winsome Munar 2022.06.20 15:03 
 

Nice work

malasuerte
27
malasuerte 2021.04.14 09:10 
 

Thank you so mauch releasing

Maksym Mudrakov
30051
Maksym Mudrakov 2016.08.31 07:30 
 

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[Silindi] 2015.08.05 14:47 
 

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