**Weighted Moving Average**

Weighted moving averages are difficult to construct but more reliable than the simple moving averages, where the average has a tendency to “bark twice”: once at the start of the moving average period and again at the end of the period.

**Weighted Moving Average Formula**

A Weighted moving average (WMA) attaches greater weight to the most recent data. The weighting is calculated from the sum of days.

Example:

For a 5-day weighted moving average the Sum of Days is 1+2+3+4+5 = 15

The weighting is shown below:

Day | 1 | 2 | 3 | 4 | 5 |

Price ($) | 16 | 17 | 17 | 10 | 17 |

Weighting | 1/15 | 2/15 | 3/15 | 4/15 | 5/15 |

Weighted value | 1.07 | 2.27 | 3.40 | 2.67 | 5.67 |

5 Day WMA | 15.07 |

Weighted values are calculated by multiplying today’s price by 5/15, yesterday by 4/15, and so on. The weighted moving average is the sum of the 5 weighted values.

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