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Indicators & Oscillators

Weighted Moving Average

A moving average in which weights decline linearly from the most recent period to the oldest in the window.

Formula WMA = (P1 x n + P2 x (n-1) + ... + Pn x 1) / (n + (n-1) + ... + 1)
Unit

In depth

The WMA sits between the simple and exponential averages: it emphasises recent data like the EMA but drops the oldest value entirely like the SMA, so it retains a smaller version of the drop-off effect. Linear weighting is arbitrary — there is no reason a price four days ago should matter exactly four-fifths as much as one three days ago — and the choice is convention rather than theory. It is less used than the other two, largely because it offers no clear advantage over an EMA of comparable responsiveness. Its main appearance today is inside the Hull moving average and similar composite constructions.

Worked example

A 4-period WMA of ₹480, 486, 492, 504 with the newest weighted 4 gives (504 x 4 + 492 x 3 + 486 x 2 + 480 x 1) / 10 = (2,016 + 1,476 + 972 + 480) / 10 = ₹494.40, against a simple average of ₹490.50.

Illustrative figures, chosen so the arithmetic is easy to follow. Not a live price and not a valuation of any company.

Educational reference only

This entry explains what “Weighted Moving Average” means. It is not investment advice and not a recommendation to buy or sell any security. Any numbers above are illustrative, not live prices, and nothing here predicts price direction or rates a stock. Consider your own circumstances and consult a SEBI-registered investment adviser before acting.