# Vwap and moving average

VWAP and Moving VWAP VWAP is a trading acronym for Volume-Weighted Average Price, the ratio of the value traded to total volume traded over a particular time horizon (usually one day). In this video, Ross from Warrior Trading explain how to use the volume weighted average price and how it is different from a moving average. Volume-Weighted Average Price [VWAP] is a dynamic, weighted average designed to more accurately reflect a security’s true average price over a given period. value trading calculator volume-weighted average price vwap stakebuilding securities Description By simply exporting prices and volume you'll be able to work out a company's historic trading bands. I am looking to adding VWAP and exponential moving average (EMA) into an intraday 1min candlestick. Example: SPY Chart with Moving VWAP(50) Anchored VWAP. บทนำ Volume-Weighted Average Price (VWAP) เป็นอะไรที่ฟังดูคล้ายกับ average price weighted by volume VWAP เท่ากับมูลการเทรดที่เกิดขึ้นในช่วงเวลาใดเวลาหนึ่งหารด้วย ปริมาณการเทรดทั้งหมด It's simply a moving average but with volume also thrown into the calculation. Both moving averages are based on the 1 minute bars for that day. VWAP The VWAP Study plots the Volume Weighted Average Price as generated by our streamers on a trade by trade basis. Day traders also use VWAP for assessing market direction and filtering trade signals. This provides longer-term traders with a moving average volume weighted price. Delivers Intra-day VWAP, Weekly VWAP, Monthly VWAP, Yearly VWAP, Anchored VWAP, and Moving VWAP functionality. Although there are many ways how to use the VWAP, most investors use it to calculate the daily average. Volume Weighted Average Price Signals. Retail forex. Calculating the Volume Weighted Average Price (VWAP) involves the price of the security multiplied by the number of securities traded divided by the total volume of securities. ; A rising VWAP, and/or the price above The 1-minute VWAP value at the end of the day is often quite close to the ending value for a 390-minute moving average. However, these tools are used most frequently by short-term The volume weighted average price (VWAP) appears as a single line on intraday charts (1 minute, 15 minute, and so on), similar to how a moving average looks. ) In Chartmill, you can add both anchored and moving VWAPS to your chart. In a moving average, depending on parameter used (Moving Average of 50 Periods or 200 Periods) and depending on Time Frame, value changes constantly. Volume weighted average price (VWAP) and moving volume weighted average price (MVWAP) are trading tools that can be used by all traders to make sure they are getting the best price. VWAP Basics. VWAP is factored into numerous algorithmic VWAP is an intra-day calculation used primarily by algorithms and institutional traders to assess where a stock is trading relative to its volume weighted average for the day. The average price for this period is 49. Hi, I've been struggling to find an answer for this, but if anyone can help, it would be very appreciable. Moving VWAP. The associated delay will be similar to the 48 periods of the moving average: A discrepancy between VWAP and SMA (48) During the day, the volume accumulates — this lag will increase and by the end of the day will reach the maximum value. That is all there is to it. The Volume Weighted Average Price indicator (VWAP) is similar to a moving average in that when prices are advancing they are above the indicator line and when they are declining, they are below the indicator line. It is true that every closed transaction is recorded and most charting websites prefer one minute or five minute trading prices. The latest (beta) version of the TWS platform sees the addition of a new Intraday Volume-Weighted Average Price (Intraday VWAP) study to the charts. To calculate VWAP, each price is multiplied (read: “weighted”) by the volume done at that price, these products are added, and then divided by the sum of the volumes for the period under consideration. VWAP is the abbreviation of Volume Weighted Average Price. Unlike Moving Averages, Value of VWAP does not change with Time Frame. A recent addition to our ever-growing list of indicators is volume-weighted average price, or VWAP, which is included in the Order Flow + premium tool set for NinjaTrader 8. A moving average is a trading indicator that is employed in nearly all types of trading and is calculated by taking the average price of the x-last bars. Kaufman, in 1998. Typically, traders prefer the EMA to a standard moving average because it will react faster to price movements, causing less lag than a standard moving average. It has been likened to a moving average, in that when the price is above the VWAP line the market is seen The Volume Weighted Average Price (VWAP) is, as the name suggests, is the You can keep a running total of the volume as they aggregate through the day to Jun 8, 2018 The Volume-Weighted Average Price (VWAP) is a unique intraday (In contrast, typical moving averages include prices from the past session. The VWAP calculation, like the moving average Kaufman’s Adaptive Moving Average (KAMA) Kaufman’s Adaptive Moving Average (KAMA) was developed by American quantitative financial theorist, Perry J. Volume-Weighted Average Price [VWAP] is a dynamic, weighted average designed to more accurately Traditional moving averages (Simple, Exponential , etc. The volume weighted adjusted price is the true average price of the stock and does not affect its closing price. And when you start to understand how professional traders at large hedge funds and such are incentivized to trade relative to VWAP, it really becomes a no brainer. Mathematically, VWAP is the summation of money (i. cTrader Fractal Adaptive Moving Average FRAMA Indicator. cTrader Desktop So, you can put the VWAP at this moment and follow the volume average weighted price by volume. According to the naming conventions in category:technical analysis, it should be named moving average (if no conflicts) or moving average (technical analysis) (if conflicts occur). . The VWAP is usually used on the lower intraday time-frames. Volume Moving Averages Tutorial about Simple and exponential volume moving average on our stock charts and using VMA in technical analysis to track ubnormal volume activity. VWAP används främst av tekniska analytiker för att identifiera marknadstrender. I have been mentioning the volume weighted average price (VWAP) for about 8 years and a lot of people have picked up on the usefulness of it from a short term trading perspective. Both moving averages are based on the 1-minute bars for that day. These two indicators are calculating different things. Before using VWAP, understand how it VWAP is cumulative indicator and as such the number of data points increases throughout the day. At the close, both are based on 390 minutes of data (one full day). In essence the VWAP will appear on your chart as a moving average that is heavily weighted toward volume. Technical Analysis, Signals and Trading Systems. Daily - In this mode the The Volume Weighted Average Price (VWAP) tells us the average price for all transaction executed during a trading session, such as the current day, week, month or quarter. This is why the Volume-Weighted Moving Average (VWMA) is a great choice for new traders. VWAP indicator MT4. And as a challenge to myself I did it in four Apr 28, 2017 VWAP resembles a moving average, where prices above the VWAP indicate a bullish trend and prices below the VWAP indicate a bearish FNSR, 07/31/19, 18:09:12, Price crossed below VWAP (23. Moving VWAP is a trend following indicator and works in the same way as moving averages or moving average proxies, such as moving linear regression. VWAP is the ratio of the value traded to total volume traded over a particular time horizon (usually one session). VWAP by v2v Recycle Bin ☛ Deviation-Scaled Moving Average (DSMA) based APB PAC 3:45 AM For VWAP by v2v. Vwap Indicator Mt4 Download. Another ratio we can use similar to VWAP is the moving VWAP (MVWAP) that is similar to a simple moving average. VWAP stands for volume weighted average price. I have the below code, using which I can calculate the volume-weighted average price by three lines of Pandas code. Indicator Description. Keep in mind however, that much like a moving average, VWAP can also experience lag. Designed to make it easier to integrate VWAP (Volume Weighted Average Price) into your trading plan for equities and futures: 1. Real Useful and I urge Any/All Traders in such shares to start keeping $'s Transacted figures Daily and the Volume so as to Use this VWAP figure for calculating a VWAP 3/5 day Moving Average. However, you will see that this VWAP is a bit different because price trades very close to the VWAP at all times. The most important property is the possibility to set the exact time where you want to start the calculate to VWAP (Volume Weighted Average Price). VWAP is similar to a moving average in that when price is above VWAP, prices are rising & when price is below VWAP, prices are falling VWAP is primarily used by technical analysts to identify market trend. VWAP is usually used alongside 1. Notice that the longer the anchor point is on the chart, the less sensitive to current price action it will become. The Difference Between Volume Weighted Average Price (VWAP) and a Simple Moving Average. But, the VWAP is more than that. Volume Weighted Moving Average (VWAP) Volume Weighted Average Price (VWAP) is an indicator, or an intra-day calculation that is used to determine where a stock is trading relative to it’s volume weighted average for the market day. VWAP liknar ett glidande medelvärde genom att priset ligger över VWAP, stiger priserna och när priset ligger under VWAP faller priserna. If prices remain above the VWAP from the election, the average participant from that date is assumed to be in a winning position from that point. The later in the day we are, the more periods the indicator has averaged and the bigger pressure it would need in order to do a move. In finance, volume-weighted average price (VWAP) is the ratio of the value traded to total volume traded over a particular time horizon (usually one day). Thus . VWAP is calculated as a moving average derived from the price and adjusted by traded volume. In practice, the VWAP might look like the moving average but these two numbers are calculated in very, very different ways. It is a measure of the average price a stock traded at over the trading horizon. If this When I started looking at moving average systems and so forth, I naturally gravitated toward volume weighted average price because it just made sense. TradingView India. So what is the logic, when it rises price will rise and when it becomes flat , see the volume, it will be below average, and one should not trade whe Description. Will come back later with some more FREE information on the Why's 'n' Whens. Meanwhile JP Morgan, Bank of America, Goldman Sachs and Taiwan Semiconductor are among the companies reporting results this weeks. VWAP is similar to a moving average in that when price is above VWAP, prices are rising and when price is below VWAP As a long-run average, moving VWAP is more appropriate for long-term traders who take trades spanning days, weeks, or months. Sep 28, 2015 markets is traded with Volume Weighted Average Price (VWAP) orders, benchmarked In §5. A Simple Moving Average (SMA) is an average of the past N closing prices. It means this average it is related to the volume too. For example, if 5 contracts trade at a price of 50 then one more trades at 56, the Volume Weighted Average Price is 51. @PatrickKonig, 1min VWAP and 5min VWAP is all the same. In finance, volume-weighted average price (VWAP) is the ratio of the value traded to total volume traded . So the higher the volume when an equity goes up the higher VWAP will move as well; if you combine with a standard 30 day moving average I found that the signals are reliable - look for times when VWAP crosses it up or down. Typically Mar 19, 2019 Volume-weighted average price (VWAP) is a technical indicator that help you determine trend changes, often quicker than moving averages. The VWAP indicator gives a fair reflection of the market conditions throughout the trading day and is probably the most popular benchmark used by large traders. Trading with the Volume by Price Indicator A video tutorial designed to teach . A moving average indicator is based only on the closing value of an asset’s price, and it will never give you an accurate information about the true average price. With the help of this robot, the trader can VWAP is the ONLY moving average you need on your chart. Pandas Efficient VWAP Calculation. close. Institutions often base VWAP on every single tick of data that occurs during the trading day. VWAP is similar to a moving average in that it helps eliminate much of the noise seen in stock throughout the day, but even more so than a moving average would. The indicator is a basic line on the chart. It measures the average price of the instrument much better than the simple moving average. This will use a different Two of the most common indicators I see used by traders are the EMA ( Exponential Moving Average) and VWAP (Volume Weighted Average Price). In finance, volume-weighted average price (VWAP) is the ratio of the value traded to total The VWAP can be used similar to moving averages, where prices above the VWAP reflect a bullish sentiment and prices below the VWAP reflect a Volume weighted average price (VWAP) and moving volume weighted average price (MVWAP) can be used by traders to ensure they're getting the best price. Volume Weighted Average Price (VWAP) is an average price calculation that assigns value to trade volume rather than trade time. VWAP is calculated as a moving average derived from the price and adjusted by traded Dec 26, 2018 Hi, yes, among many other items I've created a rolling VWAP for backtrader which I've found useful. This increasing dataset, over longer periods of time, such as four, six or eight hours in a day can cause lag between the VWAP moving average and the actual VWAP. What is a Volume-Weighted Moving Average (VWMA)? Compared to indicators like On-Balance Volume and Ease of Movement, the VWMA is simple. VWAP expansion is volume weighted average. Jun 25, 2019 Retail traders tend to use VWAP more as a trend confirmation tool, similar to a moving average. standard deviation channels for mean reversion Reading the study: You can compare the VWAP with the price level to determine the general trend for intraday prices. If a trader wanted a 10 period MVWAP, they would simply wait for the first ten periods to elapse and then would average the first 10 VWAP calculations. Volume Moving Average is a basic technical indicator representing the average volume over a specified period of time. 2- The AVWAP from the beginning of 2017. 1295 and its 50-day Moving Average at 1. , Volume x Price) transacted divided by the total volume over any time horizon, typically from market open to market close. The technique VWAP is a common indicator traders use to help manage entries and exits. TWAP, VWAP → Moving average (finance). At first look, you can think that VWAP is just a moving average price indicator. However, it looks like the TWAP & VWAP articles overlap the Weighted moving average & Other weightings sections of this article. The volume weighted average price is available on intraday charts and is the average price of a stock over the course of a day. Most traders expect their strategies to be 90–100% accurate but they forget to consider some of th Traders who purchase it from now on will get the improved version which now supports any of the built-in moving averages in ThinkOrSwim, and additionally lets you choose your moving average’s price type (close, open, high, low, etc. You can see that the VWAP indicator basically looks like a moving average. Some traders either don't know or have undervalued its importance. VWAP is typically used with intraday charts as a way to determine the general direction of intraday prices. The volume weighted average price (VWAP) is a trading benchmark used especially in pension plans. Trading With A Short-Term Moving Average of NYSE T. The VWAP is a key measure of execution quality for large orders used by institutional investors. If you are working on a 5-minute chart, after 4 hours of trading, VWAP will be calculated for 48 periods. When I started looking at moving average systems and so forth, I naturally gravitated toward volume weighted average price because it just made sense. What you need to know is that VWAP is similar to moving average – when the price is high, it is above VWAP and when the price is below, it's below VWAP. e. VWAP or volume weighted average price indicator is one of the main intraday trading indicators, this indicator uses typical price which is sum of high, low and close divided by three and then it multiplies the typical price to the volume of that particular bar after that it divides the result to the cumulative volume Read more about VWAP[…] Neither is suitable: Moving average (in this article) is neither a financial nor statistics term. ). The signals from the VWAP could be confusing at some point. Moving averages are often used to help highlight trends, spot trend reversals and provide trade signals. If VWAP is an element of your trading plan, then this product is for you: Delivers Intra-day VWAP, Weekly VWAP, Monthly VWAP, Yearly VWAP, Anchored VWAP, Moving VWAP, Feature-rich chart display shows VWAP with color-coded trend, configurable standard deviation bands, and "naked" VWAPs for equities and futures, This indicator is an auxiliary tool for analyzing and visualizing the Volume Weighted Average Price of institutional players positions in the market. Essentially, instead of starting at one day, we will calculate our MVWAP using the data over the period we wish to study. As such, most investors never use a VWAP longer than one day. However, because of this, a 5-day moving average will also have considerably more noise, negating the effect of the moving average in the first place. . As was already mentioned in the description above, the Volume Weighted Average Price indicator is used in technical analysis on the intraday carts - mostly on 1-minute (1 bar = 1 minute) charts. VWAP is only calculated each day, but MVWAP can move from day to day because it is an average of an average. Volume weighted average price (VWAP) is a trading tool that is used by traders. VWAP is calculated by adding up the dollars traded for every transaction (price multiplied by number of shares traded) and then dividing by the total shares traded for the day. This will use a different period and will sometimes be carried over from day to day depending on the period used. The indicator works in five modes: Moving - In this mode the PipTick WVAP works as Moving Average with the specified period. With an anchored VWAP you can check if buyers are mainly in winning or losing positions over a certain period of time. One cannot compare the 390 minute moving average to VWAP during the day though. In addition to day trading, the VWAP is also quite useful as a measurement of average price “since an event” The two … Read More VWAP. One cannot compare the 390-minute moving average to VWAP during the day though. The VWAP is a moving average but its based on volume so its showing you where more people are engaged and involved. Typically we can use VWAP a lot like a moving average whereby we look to trend in the direction of price relative to the average e. The VWAP trading strategy is a common indicator traders use. When the price is above VWAP they look only Volume weighted average price (VWAP) and moving volume weighted average price (moving VWAP, or sometimes MVWAP) are a type of weighted average Volume-Weighted Average Price (VWAP) is exactly what it sounds like: the Like moving averages, VWAP lags price because it is an average based on past Nov 27, 2018 If you thought that we are talking about a moving average, that's not entirely true. What is VWAP? Volume-weighted average price (VWAP) is similar to a moving average, but incorporates volume data as well. It give the same weight to every closing price. You may register for FREE trial anytime. Each period’s data is multiplied by a weight, with the weighting determined by the number of periods selected. 3 we describe the “rolling testing” framework in. The Premium VWAP version can be compared to the Library VWAP version here. Every time price jumps above or below the VWAP, traders tend to look at these as trading signals. The Weighted Moving Average (WMA) places more emphasis on recent prices than on older prices. VWAP is the best free trading indicator for MT4 platform, VWAP is used by novice traders as well as financial markets experts - MTDownloads free trading robots catalog The indicator provides indexes directly on the price chart of the financial instrument. The VWAP can be used like a moving average line. Volume Weighted Average Price (VWAP) — Check out the trading ideas, strategies, opinions, analytics at absolutely no cost! — Indicators and Signals For example, a 5-day moving average will be a lot more responsive to recent price moves than a 200-day. There are ’N’ number of methodologies used by each trader to identify the upcoming trend. 5583). For the matheletes out there, the equation is below. This is a moving average over the last 15 minutes, weighted by the volume Long term investors or day traders trading penny stocks use Volume Weighted Average Price (VWAP) to base their calculations off every tick of data in any particular trading day. ” Trading With VWAP Indicator – VWAP Chart. Follow the price, it will give some hint on the next move. 1- The AVWAP from the Election. On a chart, VWAP and a moving average may look similar. Designed to make it easier to integrate VWAP (Volume Weighted Average Price) into your trading plan for equities and futures: <br />1. A Moving VWAP over a period of 50- days gives a trader information on the average price traded over the last 50-days adjusted by volume. open to the 4:00 pm EST. The VWAP is displayed on the chart as a moving average but is much slower moving than your 8 and 20 day moving averages. This is where the VWAP can add more value than your standard 10, 50, or 200 moving average indicators because the VWAP reacts to price movements based on the volume during a given period. It is a measure of the average price a stock Custom Volume Weighted Average Price (VWAP) Indicator. It is an indicator (trend-type) for technical analysis. Any one know where I would be able to find the data on how many or what %age of stocks are trading about thier 5-10-20 day moving average?As well as how many were trading above/below their vwap. and 2. Two of the most common indicators I see used by traders are the EMA (Exponential Moving Average) and VWAP (Volume Weighted Average Price). Volume weighted average price (VWAP) and moving volume weighted average price (MVWAP) are trading tools that can be used by all traders. VWAP is a trading acronym for Volume-Weighted Average Price, the ratio of the value traded to total volume traded over a particular time horizon (usually one day). There is so much more to VWAP. These tools are used most frequently by short-term traders and in algorithm-based trading programs. VWAP is a trading acronym for Volume-Weighted Average Price, the ratio of the value traded to total volume traded over a particular Nov 9, 2011 Do you mean VWAP, volume weighted average price, or VWMA, I have found all other moving averages to be "teaser" indicators which look The VWAP ratio is then presented on a chart as a line. Standard deviations. Basically it calculates the average price of the stock based on how many shares were traded at different prices and its usually calculated within a one day time frame. Traders often use it as a support and resistance line as it continues to re-calculate continuously every minute from the 9:30am EST. Similarly to a Moving Average, if the VWAP is above the price line then this usually indicates a downtrend, conversely, if the VWAP is below the price line then this usually indicates an uptrend. VWAP is typically used with intraday charts as away to determine the general direction of intraday prices. 88, which would be the value we would get from a 5 period moving average. Confirmed by volume. 1242 since Friday. I'm not sure that a pure merge of these three is the right answer. It is a measure of the average price at which a stock is traded over the trading horizon. rules, including the moving average and trading range break-out rules, using the Keywords: volume weighted average price, market impact, technical trading Apr 20, 2017 In previous articles we have looked at the Volume Weighted Average Price indicator or VWAP, which is a type of moving average that considers We collect Price and Volume data for some stock (or mutual fund), for the past N days, namely: (P1, V1), (P2, V2), (P3, V3), (PN, VN) and compute, with this Volume Weighted Average Price (VWAP) is a technical indicator attempting to gauge Total Volume = sum(volume); Calculate running total sum of Money Flow Mar 12, 2018 Values calculated by this study will be different from the non-rolling Volume Weighted Average Price because a rolling period of time is used Feb 25, 2016 VWAP stands for Volume Weighted Average Price and is derived by applying the most well known concept of technical analysis, the moving Nov 16, 2008 Trending Markets and the Volume Weighted Average Price (VWAP) We can think of VWAP as the market's emerging estimate of value for the trading day. Buy condition: Find the scripts from the recent top gainers & cross check whether 5 EMA (Exponential moving average) has crossed above VWAP (volume weighted average price) line from below. Lets talk about the VWAP trading strategy. VWAP - Volume Weighted Average Price. When the price is above the line, it’s above VWAP. Most traders use VWAP for short term trading, meaning you'll rarely see people using it on hourly and above time frame charts. Removed average price line but added to HA-APB with PAC VWAP stands for Volume Weighted Average Price and is used to identify the true average price of a stock or commodity by factoring volume into the equation. Läs mer om Volume Weighted Average Price (VWAP) på TradingViews wiki. This study tracks VWAP throughout the day, and displays as a colored line linking VWAP values at varying times throughout the one-day period. I can't find any solution about adding VWAP is the volume weighted average price for a futures contract plotted as a back period and smooth the price data similar to a standard moving average. VWAP is calculating the sum of price multiplied by volume, divided by total volume. It is used as a benchmark to decide the price at which the security should be bought or sold. VWAP and Moving VWAP. Charts of the Day Technician’s Corner EURUSD has been held between its 20-day Moving Average of 1. VWAP is a common indicator traders use to help manage entries and exits. There is no playing down its importance. The Current Day VWAP is the volume-weighted average price (VWAP) of a security for the current day’s trading session. Volume-weighted average price (VWAP) is the average price weighted by volume. How to calculate vwap (volume weighted average price) using groupby and apply? Apply a weighted average function to a dataframe without grouping it, as if it was Moving averages act as a technical indicator to show you how a security’s price has moved, on average, over a certain period of time. In this article, we will explore the seven reasons day traders love using the VWAP indicator. The reason for this is that it gives the average price value during the trading day. And when it’s below, the price is below VWAP. Simple moving average calculations assign an equal weight to trade prices at constant time intervals. The Volume Weighted Average Price is similar to a moving average, except volume is included to weight the average price over a period. Crossed below 200 day moving average ? Crossed above 50 day The Volume Weighted Average Price (VWAP) calculates the average Go to the top menu, choose Study>Moving Average>Volume Weighted Average Price. Now there is a tool we can use to combine both a moving average and volume in order to get At point #1, the moving averages are moving together, simply because the volume is staying What do you think about VWAP instead of VWMA? Aug 10, 2015 Another ratio we can use similar to VWAP is the moving VWAP (MVWAP) that is similar to a simple moving average. VWAP is an excellent moving average indicator, and like any moving average indicator, its great disadvantage is lagging. A moving average. All normally anchored from the open of each day, regardless the timeframe it’ll plot the same line. Thus, all moving averages are a trade-off between noise and lag. A falling VWAP indicates a price downtrend and a rising VWAP indicates a price uptrend. It looks like that: Volume Weighted Average Price (VWAP) is a technical analysis tool used to measure the average price weighted by volume. It goes way beyond the VWAP for the current day. Trading With VWAP Indicator – VWAP Chart. This is due to its cumulative formula. Define Option Trader! Instead, it displays a price level with a relatively high volume, which is a consequence of high vwap indicator mt4 download liquidity the major players altcoin cpu mining need to perform transactions. Now I reckon these are the types of shares where VWAP comes into Prominence. This depicts a much more objective average price since it takes into account traded volume distribution. Calculating VWAP based on other time frames, such as 1-minute or 5-minute price bars is also acceptable, and is how most chart platforms like Investar plot it. g bullish when price is above and bearish when price is below. What Is VWAP? Volume-weighted average price (VWAP) is a technical indicator that shows where the majority of volume trades in a stock. “Volume Weighted Average Price (VWAP) is a technical analysis tool used to measure the average price weighted by Volume. A Moving VWAP over a period of 50- days gives a trader information on the average price traded over the last 50-days adjusted by volume . That’s why so many people use it: it’s effective because everybody is looking at the same line/price levels. The indicator offers significant advantages over VWAP and Moving VWAP. ) Feb 7, 2019 I am looking to adding VWAP and exponential moving average (EMA) into an intraday 1min candlestick. When the price is high, it is above VWAP and when the price is low, it is below VWAP. The length of the lookback period can be altered to suit with the style of the investor and the market that is invested in. The 1-minute VWAP value at the end of the day is often quite close to the ending value for a 390 minute moving average. vwap and moving average

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