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What It Is and the Formula

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What Is a Simple Moving Average (SMA)?

A simple moving average (SMA) calculates the average of a selected range of prices, usually closing prices, by the number of periods in that range.

Key Takeaways

  • Simple moving averages calculate the average of a range of prices by the number of periods within that range.
  • A simple moving average is a technical indicator that can aid in determining if an asset price will continue or if it will reverse a bull or bear trend.
  • A simple moving average can be enhanced as an exponential moving average (EMA) that is more heavily weighted on recent price action.

Understanding Simple Moving Average (SMA)

A simple moving average (SMA) is an arithmetic moving average calculated by adding recent prices and then dividing that figure by the number of time periods in the calculation average. For example, one could add the closing price of a security for a number of time periods and then divide this total by that same number of periods. Short-term averages respond quickly to changes in the price of the underlying security, while long-term averages are slower to react. There are other types of moving averages, including the exponential moving average (EMA) and the weighted moving average (WMA).

Investopedia / Sabrina Jiang


The formula for SMA is:


SMA = A 1 + A 2 + . . . + A n n where: A n = the price of an asset at period  n n = the number of total periods \begin{aligned} &\text{SMA}=\dfrac{A_1 + A_2 + … + A_n}{n} \\ &\textbf{where:}\\ &A_n=\text{the price of an asset at period } n\\ &n=\text{the number of total periods}\\ \end{aligned}
SMA=nA1+A2+...+Anwhere:An=the price of an asset at period nn=the number of total periods

For example, this is how you would calculate the simple moving average of a security with the following closing prices over a 15-day period.

Week One (5 days): 20, 22, 24, 25, 23

Week Two (5 days): 26, 28, 26, 29, 27

Week Three (5 days): 28, 30, 27, 29, 28

A 10-day moving average would average out the closing prices for the first 10 days as the first data point. The next data point would drop the earliest price, add the price on day 11, then take the average, and so on. Likewise, a 50-day moving average would accumulate enough data to average 50 consecutive days of data on a rolling basis.

A simple moving average is customizable because it can be calculated for different numbers of time periods. This is done by adding the closing price of the security for a number of time periods and then dividing this total by the number of time periods, which gives the average price of the security over the time period.

A simple moving average smooths out volatility and makes it easier to view the price trend of a security. If the simple moving average points up, this means that the security’s price is increasing. If it is pointing down, it means that the security’s price is decreasing. The longer the time frame for the moving average, the smoother the simple moving average. A shorter-term moving average is more volatile, but its reading is closer to the source data.

One of the most popular simple moving averages is the 200-day SMA. However, there is a danger to following the crowd. As The Wall Street Journal explains, since thousands of traders base their strategies around the 200-day SMA, there is a chance that these predictions could become self-fulfilling and limit price growth.

Special Considerations

Analytical Significance

Moving averages are an important analytical tool used to identify current price trends and the potential for a change in an established trend. The simplest use of an SMA in technical analysis is using it to quickly determine if an asset is in an uptrend or downtrend.

Another popular, albeit slightly more complex, analytical use is to compare a pair of simple moving averages with each covering different time frames. If a shorter-term simple moving average is above a longer-term average, an uptrend is expected. On the other hand, if the long-term average is above a shorter-term average then a downtrend might be the expected outcome.

Popular Trading Patterns

Two popular trading patterns that use simple moving averages include the death cross and a golden cross. A death cross occurs when the 50-day SMA crosses below the 200-day SMA. This is considered a bearish signal, indicating that further losses are in store. The golden cross occurs when a short-term SMA breaks above a long-term SMA. Reinforced by high trading volumes, this can signal further gains are in store.

Simple Moving Average vs. Exponential Moving Average

The major difference between an exponential moving average (EMA) and a simple moving average is the sensitivity each one shows to changes in the data used in its calculation. More specifically, the EMA gives a higher weighting to recent prices, while the SMA assigns an equal weighting to all values.

The two averages are similar because they are interpreted in the same manner and are both commonly used by technical traders to smooth out price fluctuations. Since EMAs place a higher weighting on recent data than on older data, they are more reactive to the latest price changes than SMAs are, which makes the results from EMAs more timely and explains why the EMA is the preferred average among many traders.

Simple Vs. Exponential Moving Averages

Limitations of Simple Moving Average

It is unclear whether or not more emphasis should be placed on the most recent days in the time period or on more distant data. Many traders believe that new data will better reflect the current trend the security is moving with. At the same time, other traders feel that privileging certain dates over others will bias the trend. Therefore, the SMA may rely too heavily on outdated data since it treats the 10th or 200th day’s impact the same as the first or second day’s.

Similarly, the SMA relies wholly on historical data. Many people (including economists) believe that markets are efficient—that is, that current market prices already reflect all available information. If markets are indeed efficient, using historical data should tell us nothing about the future direction of asset prices.

How Are Simple Moving Averages Used in Technical Analysis?

Traders use simple moving averages (SMAs) to chart the long-term trajectory of a stock or other security, while ignoring the noise of day-to-day price movements. This allows traders to compare medium- and long-term trends over a larger time horizon. For example, if the 200-day SMA of a security falls below its 50-day SMA, this is usually interpreted as a bearish death cross pattern and a signal of further declines. The opposite pattern, the golden cross, indicates potential for a market rally.

How Do You Calculate a Simple Moving Average?

To calculate a simple moving average, the number of prices within a time period is divided by the number of total periods. For instance, consider shares of Tesla closed at $10, $11, $12, $11, $14 over a five day period. The simple moving average of Tesla’s shares would equal $10 + $11 + $12 + $11 + $14 divided by 5, equaling $11.6.

What Is the Difference Between a Simple Moving Average and an Exponential Moving Average?

While a simple moving average gives equal weight to each of the values within a time period, an exponential moving average places greater weight on recent prices. Exponential moving averages are typically seen as a more timely indicator of a price trend, and because of this, many traders prefer using this over a simple moving average. Common short-term exponential moving averages include the 12-day and 26-day. The 50-day and 200-day exponential moving averages are used to indicate long-term trends.

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NBA Top 10 Plays of the Night | February 15, 2023

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Using Bullish Candlestick Patterns to Buy Stocks

Written by admin. Posted in Technical Analysis

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Candlestick charts are a type of financial chart for tracking the movement of securities. They have their origins in the centuries-old Japanese rice trade and have made their way into modern-day price charting. Some investors find them more visually appealing than the standard bar charts and the price actions easier to interpret.

Candlesticks are so named because the rectangular shape and lines on either end resemble a candle with wicks. Each candlestick usually represents one day’s worth of price data about a stock. Over time, the candlesticks group into recognizable patterns that investors can use to make buying and selling decisions.

Key Takeaways

  • Candlestick charts are useful for technical day traders to identify patterns and make trading decisions.
  • Bullish candlesticks indicate entry points for long trades, and can help predict when a downtrend is about to turn around to the upside.
  • Here, we go over several examples of bullish candlestick patterns to look out for.

Click Play to Learn How to Use Bullish Candlestick Patterns to Buy Stock

How to Read a Single Candlestick

Each candlestick represents one day’s worth of price data about a stock through four pieces of information: the opening price, the closing price, the high price, and the low price. The color of the central rectangle (called the real body) tells investors whether the opening price or the closing price was higher.

A black or filled candlestick means the closing price for the period was less than the opening price; hence, it is bearish and indicates selling pressure. Meanwhile, a white or hollow candlestick means that the closing price was greater than the opening price. This is bullish and shows buying pressure.

The lines at both ends of a candlestick are called shadows, and they show the entire range of price action for the day, from low to high. The upper shadow shows the stock’s highest price for the day, and the lower shadow shows the lowest price for the day.

Image by Julie Bang © Investopedia 2020


Bullish Candlestick Patterns

Over time, groups of daily candlesticks fall into recognizable patterns with descriptive names like three white soldiers, dark cloud cover, hammer, morning star, and abandoned baby, to name just a few. Patterns form over a period of one to four weeks and are a source of valuable insight into a stock’s future price action. Before we delve into individual bullish candlestick patterns, note the following two principles:

  1. Bullish reversal patterns should form within a downtrend. Otherwise, it’s not a bullish pattern, but a continuation pattern.
  2. Most bullish reversal patterns require bullish confirmation. In other words, they must be followed by an upside price move which can come as a long hollow candlestick or a gap up and be accompanied by high trading volume. This confirmation should be observed within three days of the pattern.

The bullish reversal patterns can further be confirmed through other means of traditional technical analysis—like trend lines, momentum, oscillators, or volume indicators—to reaffirm buying pressure. There are a great many candlestick patterns that indicate an opportunity to buy. We will focus on five bullish candlestick patterns that give the strongest reversal signal.

1. The Hammer or the Inverted Hammer

Image by Julie Bang © Investopedia 2021


  • The Hammer is a bullish reversal pattern, which signals that a stock is nearing the bottom in a downtrend.
  • The body of the candle is short with a longer lower shadow. This is a sign of sellers driving prices lower during the trading session, only to be followed by strong buying pressure to end the session on a higher close.
  • Before we jump in on the bullish reversal action, however, we must confirm the upward trend by watching it closely for the next few days.
  • The reversal must also be validated through the rise in the trading volume.

Image by Julie Bang © Investopedia 2021


The Inverted Hammer also forms in a downtrend and represents a likely trend reversal or support.

  • It’s identical to the Hammer except for the longer upper shadow, which indicates buying pressure after the opening price.
  • This is followed by considerable selling pressure, which wasn’t enough to bring the price down below its opening value.

Again, bullish confirmation is required, and it can come in the form of a long hollow candlestick or a gap up, accompanied by a heavy trading volume.

2. The Bullish Engulfing

Image by Julie Bang © Investopedia 2020

The Bullish Engulfing pattern is a two-candle reversal pattern.

  • The Bullish Engulfing pattern appears in a downtrend and is a combination of one dark candle followed by a larger hollow candle.
  • The second candle completely ‘engulfs’ the real body of the first one, without regard to the length of the tail shadows.
  • On the second day of the pattern, the price opens lower than the previous low, yet buying pressure pushes the price up to a higher level than the previous high, culminating in an obvious win for the buyers.

It is advisable to enter a long position when the price moves higher than the high of the second engulfing candle—in other words when the downtrend reversal is confirmed.

3. The Piercing Line

Image by Julie Bang © Investopedia 2020

Similar to the engulfing pattern, the Piercing Line is a two-candle bullish reversal pattern, also occurring in downtrends.

  • The first long black candle is followed by a white candle that opens lower than the previous close.
  • Soon thereafter, the buying pressure pushes the price up halfway or more (preferably two-thirds of the way) into the real body of the black candle.

4. The Morning Star

Image by Julie Bang © Investopedia 2020

As the name indicates, the Morning Star is a sign of hope and a new beginning in a gloomy downtrend.

  • The pattern consists of three candles: one short-bodied candle (called a doji or a spinning top) between a preceding long black candle and a succeeding long white one.
  • The color of the real body of the short candle can be either white or black, and there is no overlap between its body and that of the black candle before. It shows that the selling pressure that was there the day before is now subsiding.
  • The third white candle overlaps with the body of the black candle and shows renewed buyer pressure and a start of a bullish reversal, especially if confirmed by the higher volume.

5. The Three White Soldiers

Image by Julie Bang © Investopedia 2021


This pattern is usually observed after a period of downtrend or in price consolidation.

  • It consists of three long white candles that close progressively higher on each subsequent trading day.
  • Each candle opens higher than the previous open and closes near the high of the day, showing a steady advance of buying pressure.
  • Investors should exercise caution when white candles appear to be too long as that may attract short sellers and push the price of the stock further down. 

While there are some ways to predict markets, technical analysis is not always a perfect indication of performance. Either way, to invest you’ll need a broker account. You can check out Investopedia’s list of the best online stock brokers to get an idea of the top choices in the industry.

Putting It All Together

The chart below for Enbridge, Inc. (ENB) shows three of the bullish reversal patterns discussed above: the Inverted Hammer, the Piercing Line, and the Hammer.

The chart for Pacific DataVision, Inc. (PDVW) shows the Three White Soldiers pattern. Note how the reversal in downtrend is confirmed by the sharp increase in the trading volume.

What Is the Most Bullish Candlestick Pattern?

The bullish engulfing pattern and the ascending triangle pattern are considered among the most favorable candlestick patterns. As with other forms of technical analysis, it is important to look for bullish confirmation and understand that there are no guaranteed results.

What Is a Spinning Top Candlestick Pattern?

A spinning top, or doji, is a candlestick with a short body and two long shadows, indicating that prices fluctuated over the course of a trading period before ultimately closing near the opening price. In technical analysis, this indicates that neither buyers or sellers have the upper hand.

What Is a Bullish Belt Hold Candlestick Pattern?

A bullish belt hold is a pattern of declining prices, followed by a trading period of significant gains. In technical analysis, this is considered a sign of reversal after a downtrend. As with other forms of technical analysis, traders should be careful to wait for bullish confirmation. Even with confirmation, there is no guarantee that a pattern will play out.

The Bottom Line

Investors should use candlestick charts like any other technical analysis tool (i.e., to study the psychology of market participants in the context of stock trading). They provide an extra layer of analysis on top of the fundamental analysis that forms the basis for trading decisions.

We looked at five of the more popular candlestick chart patterns that signal buying opportunities. They can help identify a change in trader sentiment where buyer pressure overcomes seller pressure. Such a downtrend reversal can be accompanied by a potential for long gains. That said, the patterns themselves do not guarantee that the trend will reverse. Investors should always confirm reversal by the subsequent price action before initiating a trade. 

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Industrial ETFs Bouncing Off Key Support

Written by admin. Posted in Technical Analysis

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Despite the overshadow of trade tariffs, industrial stocks remain underpinned by a lower corporate tax rate (35% down to 21%), a push for increased infrastructure spending and a strengthening U.S. housing market. Economic data also shows increased industrial activity. Industrial production, which measures the value of output from manufacturers, mines and utilities, is up 5.1% year over year as of September 2018. The sector should additionally benefit from early investor rotation into value names, robust profit forecasts and increased buyback activity.

Senior analyst at Wolfe Research Nigel Coe told Barron’s that he believes industrial stocks can maintain strong growth momentum while the Federal Reserve’s policy remains loose and supportive of growth. However, he cautioned that companies in the sector need to grow into their earnings multiplesforward earnings currently sit at 16.7 times as of October 2018. Price action also suggests that industrial stocks are at key support levels. Three leading exchange-traded funds (ETFs) in the sector have all bounced at critical technical areas on their respective charts. Let’s further analyze each fund.

Launched in 2006, the iShares U.S. Aerospace & Defense ETF seeks to track the performance of the Dow Jones U.S. Select / Aerospace & Defense Index. The fund invests in companies that manufacture, assemble and distribute airplane and defense equipment. ITA charges investors an annual management fee of 0.43% and has returned 9.3% year to date (YTD) as of October 2018. The recent pullback found support on the uptrend line the connects the early May and late June swing lows. This $200 support level on the chart also finds support from the 200-day simple moving average (SMA), making it a high-probability buying area. A stop-loss order could be placed just below the candlestick that reversed on the trendline/moving average.

The Invesco DWA Industrials Momentum ETF, also created in 2006, aims to provide similar returns to the DWA Industrials Technical Leaders Index. The ETF’s portfolio holds U.S. industrial firms that are showing strong relative strength and price momentum. As of October 2018, the fund has a -4.69% YTD return and charges a 0.6% management fee. PRN’s chart appears to be forming a double bottom – the most recent swing low found support near the early May swing low at the $57 level. Short-term momentum looks to be moving back to the upside, with the relative strength index (RSI) crossing back above 30. Stops should be placed slightly below double bottom pattern to protect trading capital.

Formed in 2013, the Fidelity MSCI Industrials ETF attempts to replicate the performance of the MSCI USA IMI Industrials Index. It holds companies that cover the broad U.S. industrials sector. The fund has a low expense ratio of just 0.08%, well below the 0.5% category average. Performance wise, FIDU has returned -1.33% YTD. Although FIDU’s share price is trading below the 200-day SMA, it found strong support from the uptrend line that commenced in early May. The recent bounce at the $37.5 support level has moved the RSI out of oversold territory and occurred on above-average volume. Traders who take a long position should protect it with a stop below the most recent swing low.

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