ATR with Smoothing – indicator MetaTrader 4

This Indicator is based on the True Range which is the maximum of (High – Low), Abs(High – Close[1]) and Abs(Low – Close[1]), with Abs being mathematical absolute.
In order to get the first data, it calculates the true range value for a number of bars (which is the input Length) and then calculates the SMA of these values (which is the sum of all these values by the Length – a simple average). This average is set as the first ATR value.

Smoothing methods:

RMA: a coefficient alpha is defined as : alpha = 1/Length. The calculation of RMA is: rma = alpha * (true range value of this candle) + (1-alpha) * (last rma).
SMA: for each bar it calculates the simple average of the true range value for the defined number of bars (Length). This mode is equal to the iATR value.
EMA: a coefficient alpha is defined as : alpha = 2/(1+Length). The calculation of EMA is: ema = alpha * (true range value of this candle) + (1-alpha) * (last ema).
WMA: for each bar it calculates the weighted average of the true range value for the defined number of bars (Length) like this:
sum = N * (tr[0]) + (N-1) * (tr[1]) + … + 1 * (tr[N-1]); tr is true range value of the candle
wma = sum / (N*(N+1)/2)

Example: XAUUSD, H1

• RMA

• EMA

• SMA

• WMA