Bollinger bands indicator formula

Volatility is based on the standard deviationwhich changes as volatility increases and decreases. The bands automatically widen when volatility increases and narrow when volatility decreases.

This dynamic nature of Bollinger Bands also means they can be used on different securities with the standard settings. For signals, Bollinger Bands can be used to identify M-Tops and W-Bottoms or to determine the strength of the trend. Signals derived from narrowing BandWidth are discussed in the chart school article on BandWidth. Click here for download this spreadsheet example. Bollinger Bands consist of a middle band with two outer bands. The middle band is a simple moving average that is usually set at 20 periods.

A simple moving average is used because the standard deviation formula also uses a simple moving average. The look-back period for the standard deviation is the same as for the simple moving average.

The outer bands are usually indicator 2 standard bands above and below the middle band. Settings can be adjusted to suit the characteristics of particular securities or trading styles. Bollinger recommends making small incremental adjustments to the standard deviation multiplier.

Changing the number of periods for the moving average also affects the number of periods used to calculate the standard deviation. Therefore, only small adjustments are required for the standard deviation multiplier. An increase in the moving average period would automatically bands the number of periods used to bands the standard deviation and would also warrant an increase in the standard deviation multiplier.

With a day SMA and day Standard Deviation, the standard deviation multiplier is set bollinger 2. Bollinger formula increasing the standard deviation multiplier bollinger 2. W-Bottoms were part of Arthur Merrill's work that identified 16 patterns with a basic W shape. Bollinger uses these various W patterns with Bollinger Bands to identify W-Bottoms.

In particular, Bollinger looks for W-Bottoms where the second low is bands than bollinger first but holds above the lower band. There are four steps to confirm a W-Bottom with Bollinger Bands. First, a reaction low forms.

This low is usually, but not always, below the lower band. Second, there is a bounce towards the middle band. Third, there is a new price low in the security. This low holds above the lower band.

The ability to hold above the lower band on the test shows less weakness indicator the last decline. Fourth, the pattern is confirmed with a strong move off the second low and a resistance break.

Chart 2 shows Nordstrom JWN with a W-Bottom in January-February First, the stock formed a reaction low in January black arrow and broke below the lower band. Second, indicator was a bounce back above the middle band. Third, the stock moved below its January low and held above the lower band. Even though the 5-Feb spike low broke the lower band, Bollinger Bands are calculated using closing prices so signals should also be based on closing prices. Fourth, the stock surged with expanding volume in late February and broke above the early February high.

Chart 3 shows Sandisk with a smaller W-Bottom in July-August M-Tops were also part of Arthur Merrill's work that identified 16 patterns with a basic M shape. Bollinger uses these various M patterns with Bollinger Bands to identify M-Tops.

According to Bollinger, tops are usually more complicated and drawn out than bottoms. Double tops, head-and-shoulders patterns, and diamonds represent evolving tops. In its most basic formula, an M-Top bands similar to a bollinger top. However, the reaction highs are not always equal. The first high can be higher or lower than the second high.

Bollinger suggests indicator for signs of non-confirmation when a security is bollinger new highs. This is basically the opposite of the W-Bottom. A non-confirmation occurs with three steps. First, a security creates a reaction high above the upper band.

Second, there is a pullback towards the middle band. Third, prices move above the prior high but fail to reach the upper band. This is a warning sign. The inability of the second reaction high to reach the upper band shows waning momentum, which can foreshadow a trend reversal. Final confirmation comes with a support break or bearish indicator signal. Chart 4 shows Exxon Mobil XOM with an M-Top in April-May The stock moved above the upper band in April.

There was a bands in May and then another push above Even though the stock moved above the upper band on an intraday basis, it did bands CLOSE above the upper band. The M-Top was confirmed with a support break two weeks later. Also, notice that MACD formed indicator bearish divergence and moved below its signal line for confirmation. Chart 5 shows Pulte Homes PHM within an uptrend in July-August Price exceeded the upper band in early September to affirm the uptrend.

After a pullback below the day SMA middle Bollinger Bandthe stock moved to a higher high above Despite this new high for the move, formula did not exceed the upper band. This flashed a warning sign. The stock broke support a week later and MACD moved below its signal line.

Notice that this M-top is more complex because there are lower reaction highs on either side of the peak blue arrow. This evolving top formed a small head-and-shoulders pattern.

Moves above or below the bands are not signals per se. On the face of it, a move to the upper band shows strength, while a sharp move to the lower band shows weakness.

Momentum oscillators work much the same way. Overbought is not necessarily bullish. It takes strength to reach overbought levels and overbought conditions can extend in a strong uptrend. Think about it for a moment.

The upper band is 2 standard deviations above the period simple moving average. It takes a pretty strong price move to exceed this upper band. An upper band touch that occurs after a Bollinger Band confirmed W-Bottom would signal the start of an uptrend. Just as a strong uptrend produces numerous upper formula tags, it is formula common for prices to never reach the lower band during an uptrend.

The day SMA sometimes acts as support. In fact, dips below the day SMA sometimes provide buying opportunities before the next tag of the upper band. Chart 6 shows Air Products APD with a surge and close above the upper band in mid-July. First, notice that this is a strong surge that broke above two resistance levels.

A strong upward thrust is a sign of strength, not weakness. Trading turned flat in August and the day SMA moved sideways. The Bollinger Bands narrowed, but APD did not close below the lower band. Prices indicator the day SMA turned up in September. Overall, APD closed above the upper band at least five times formula a four month period.

The indicator window shows the period Commodity Bollinger Index CCI. Dips below are deemed oversold and moves back above signal bollinger start of an oversold bounce green dotted line. The upper band tag and breakout started the uptrend. CCI then identified tradable pullbacks with dips below indicator This is an example of combining Bollinger Bands with a momentum oscillator for trading signals.

Chart 7 shows Monsanto MON with a walk down the lower band. The stock broke down in January with a support break and closed below the lower band. From mid-January until early May, Monsanto closed below formula lower band at least five times. Notice that the stock did not close above the upper band once during this period. The support break and initial close below the lower band signaled a downtrend. As such, the period Commodity Channel Index CCI was used to identify short-term overbought situations.

This system triggered two good signals in early As such, they can be used to determine if prices are relatively high or low. Technically, prices are relatively high when above the upper band and relatively low when below the lower band.