---
title: "Average Directional Movement Index Wilder - Trend Indicators - Technical Indicators - Price Charts, Technical and Fundamental Analysis - MetaTrader 5 Help"
description: "Average Directional Movement Index Wilder (ADX Wilder) helps to determine if there is a price trend. This technical indicator... - Average Directional Movement Index Wilder - Trend Indicators - Technical Indicators"
image: "https://www.metatrader5.com/i/logo_metatrader5.png"
url: "https://www.metatrader5.com/en/terminal/help/indicators/trend_indicators/admiw"
---

[MetaTrader 5 Help](https://www.metatrader5.com/en/terminal/help) → [Price Charts, Technical and Fundamental Analysis](https://www.metatrader5.com/en/terminal/help/charts_analysis) → [Technical Indicators](https://www.metatrader5.com/en/terminal/help/charts_analysis/indicators) → [Trend Indicators](https://www.metatrader5.com/en/terminal/help/indicators/trend_indicators) → Average Directional Movement Index Wilder

# Average Directional Movement Index Wilder

Average Directional Movement Index Wilder (ADX Wilder) helps to determine if there is a price trend. This technical indicator is constructed as a strict correspondence with the algorithm described by Welles Wilder in his book "New concepts in technical trading systems".

Trading rules of this indicator are described in the section ["Average Directional Movement Index"](https://www.metatrader5.com/en/terminal/help/indicators/trend_indicators/admi).

![Average Directional Movement Index Wilder](https://www.metatrader5.com/i/help/terminal/en/admiw.png)

## Calculation

First positive (dm_plus) and negative (dm_minus) changes at each bar are calculated, as well as the true range tr:

If High(i) - High(i-1) > 0 dm_plus(i) = High[(i) - High(i-1), otherwise dm_plus(i) = 0.
If Low(i-1) - Low(i) > 0 dm_minus(i) = Low(i-1) - Low(i), otherwise dm_minus(i) = 0.

```
tr(i) = Max(ABS(High(i) - High(i-1)), ABS(High(i) - Close(i-1)), ABS(Low(i) - Close(i-1)))
```

Where:

High(i) — maximal price of the current bar;
Low(i) — minimal price of the current bar;
High(i-1) — maximal price of the previous bar;
Low(i-1) — minimal price of the previous bar;
Close(i-1) — close price of the previous bar;
Max (a, b , c) — maximal value out of three numbers: a, b and c;
ABS(X) — value of the number X absolute in its module.

After that smoothed values are calculated: Plus_D(i), Minus_D(i) and ATR():

```
ATR(i) = SMMA(tr, Period_ADX,i)
```

```
Plus_D(i) = SMMA(dm_plus, Period_ADX,i)/ATR(i)*100
```

```
Minus_D(i) = SMMA(dm_minus, Period_ADX,i)/ATR(i)*100
```

Where:

SMMA(X, N, i) — [Smoothed Moving Average](https://www.metatrader5.com/en/terminal/help/indicators/trend_indicators/ma#smma) by values of X series on the current bar;
Period_ADX — number of periods used for calculation.

Now Directional Movement Index - DX(i) - is calculated:

```
DX(i) = ABS(Plus_D(i) - Minus_D(i))/(Plus_D(i) + Minus_D(i)) * 100
```

After preliminary calculations we obtain the value of the ADX(i) indicator on the current bar by smoothing DX index values:

```
ADX(i) = SMMA(DX, Period_ADX, i)
```

## In this section

- [Adaptive Moving Average](https://www.metatrader5.com/en/terminal/help/indicators/trend_indicators/ama)
- [Average Directional Movement Index](https://www.metatrader5.com/en/terminal/help/indicators/trend_indicators/admi)
- Average Directional Movement Index Wilder
- [Bollinger Bands](https://www.metatrader5.com/en/terminal/help/indicators/trend_indicators/bb)
- [Double Exponential Moving Average](https://www.metatrader5.com/en/terminal/help/indicators/trend_indicators/dema)
- [Envelopes](https://www.metatrader5.com/en/terminal/help/indicators/trend_indicators/envelopes)
- [Fractal Adaptive Moving Average](https://www.metatrader5.com/en/terminal/help/indicators/trend_indicators/fama)
- [Ichimoku Kinko Hyo](https://www.metatrader5.com/en/terminal/help/indicators/trend_indicators/ikh)
- [Moving Average](https://www.metatrader5.com/en/terminal/help/indicators/trend_indicators/ma)
- [Parabolic SAR](https://www.metatrader5.com/en/terminal/help/indicators/trend_indicators/psar)
- [Standard Deviation](https://www.metatrader5.com/en/terminal/help/indicators/trend_indicators/sd)
- [Triple Exponential Moving Average](https://www.metatrader5.com/en/terminal/help/indicators/trend_indicators/tema)
- [Variable Index Dynamic Average](https://www.metatrader5.com/en/terminal/help/indicators/trend_indicators/vida)

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