Weighted Moving Average (W-MA)

The Weighted Moving Average is going up against several other MAs in the ‘Technical Indicator – Fight for Supremacy‘ so lets briefly cover how it is calculated and to make things easy I have put together an Excel Spreadsheet for free download.

In an attempt to be more reactive to price changes a Weighted Moving Average applies the most weight to the latest data rather like an EMA does.  But instead of the weighting being exponential it is linear like a SMA.  Below you can see how the weighting is applied to a 50 period W-MA, EMA and SMA:

.

Weight - WMA vs EMA vs SMA.

How To Calculate a Weighted Moving Average

.

The Formula is:

W-MA = (PRICE*n + PRICE(1)*n-1 + … PRICE(n-1)*1) / (n * (n+1) / 2)

Where:

n = The smoothing period.

Here is an example of a 3 period Weighted Moving Average:

.

Calculating a Weighted Moving Average.

Weighted Moving Average Excel File

.

I have put together an Excel Spreadsheet containing a Weighted Moving Average and made it available for FREE download.  It contains a ‘basic’ version displaying the example above and a ‘fancy’ one that will automatically adjust to the length you specify.  Find it at the following link near the bottom of the page under Downloads – Technical Indicators: Weighted Moving Average (W-MA).  Please let me know if you find it useful.

.

Weighted Moving Average and a Simple Moving Average

.

Weighted Moving Average and a Simple MA

.

Test Results

.

We tested several different types of Weighted Moving Averages including the W-MA through 300 years of data across 16 global markets to reveal which is the best and if any of them are worthy of use as a trading tool.  See the results – Weighted Moving Averages Put To The Test

.

.

Wilder’s Smoothing was developed buy J. Welles Wilder, Jr. and he used it as a component in several of his other indicators including the RSI which is one of the most popular technical indicators of all time.