Indicators · Published May 7, 2026 · 6-min read
The Weighted Moving Average (WMA) gives more importance to recent prices than older ones using a linear weight schedule. Here is the formula, a worked example, and when it beats SMA and EMA on Indian indices.
The Weighted Moving Average (WMA) is one of three core moving-average flavours every Indian-index trader should understand — alongside SMA (Simple) and EMA (Exponential). Where SMA gives every bar in the lookback equal weight, and EMA gives recent bars exponentially decaying influence, WMA does something in between: it uses a linear weight schedule that puts the most weight on the most recent close and steps down by 1 for each older bar.
This linearity gives WMA a distinct character. It reacts slightly faster than EMA at the latest bar, but it has a sharper “edge” — the oldest bar in the window completely drops out the moment it leaves, rather than fading exponentially. This guide explains what WMA is, how to compute it, and when to choose it over SMA or EMA for trading NIFTY 50 and BANK NIFTY.
For a closing-price series P over a window of n bars, the Weighted Moving Average is defined as:
WMA = (n × P_t + (n−1) × P_t−1 + (n−2) × P_t−2 + ... + 1 × P_t−(n−1))
÷
(n + (n−1) + (n−2) + ... + 1)
The denominator — the sum of weights — has a closed-form expression: n × (n + 1) / 2. For a 10-period WMA, the weight sum is 10 × 11 / 2 = 55. The most recent bar contributes 10/55 ≈ 18.2%, the next bar contributes 9/55 ≈ 16.4%, the third 8/55 ≈ 14.5%, and so on down to the oldest at 1/55 ≈ 1.8%.
Compare this to a 10-period SMA where every bar contributes exactly 10%, or a 10-period EMA where the most recent bar weighs ~18% and the influence of older bars decays geometrically without a sharp cut-off.
Suppose the last 5 NIFTY 50 daily closes are:
| Day | Close | Linear weight |
|---|---|---|
| t−4 (oldest) | 24,000 | 1 |
| t−3 | 24,100 | 2 |
| t−2 | 24,250 | 3 |
| t−1 | 24,200 | 4 |
| t (most recent) | 24,400 | 5 |
The numerator: (5 × 24,400) + (4 × 24,200) + (3 × 24,250) + (2 × 24,100) + (1 × 24,000) = 122,000 + 96,800 + 72,750 + 48,200 + 24,000 = 363,750.
The denominator: 5 + 4 + 3 + 2 + 1 = 15.
The 5-period WMA = 363,750 / 15 = 24,250.
Compare to a 5-period SMA over the same five closes: (24,000 + 24,100 + 24,250 + 24,200 + 24,400) / 5 = 24,190. The WMA, at 24,250, is closer to the most recent close (24,400) because the weighting pulls it toward recent strength. SMA, at 24,190, lags more.
Catching the leading edge of a trend. Because the most recent bar contributes nearly 1/5 of the average in a 10-period WMA, a strong move on the latest bar moves the WMA noticeably more than it moves the equivalent SMA. Traders who want to enter trends early often prefer WMA over SMA for this reason.
Crossover signals with modest noise. WMA crossovers (e.g., 9-WMA crossing 21-WMA) flip slightly earlier than the equivalent EMA crossovers without dramatically increasing the false-signal rate. On daily NIFTY charts, the 9/21 WMA crossover historically flips a few days before the 9/21 EMA crossover at trend changes.
Smooth-but-responsive trend filters. A 50-period WMA on the daily chart sits between a 50-EMA (smoother) and a 50-SMA (smoother still) in terms of responsiveness. For traders who feel EMA reacts too quickly to short-term noise but SMA lags too much, WMA is a sensible middle ground.
Sharp drop-off at the lookback edge. Because the oldest bar in the window has weight 1 and the bar just outside has weight 0, a single old extreme bar can cause the WMA to “jump” the moment it falls off the back of the window. This produces small artefacts on the line that EMA, which fades older bars exponentially, does not have.
Single-bar volatility. On a 5-minute NIFTY chart, a single 50-point bar at the latest close moves the WMA proportionally more than it moves an equivalent SMA. In choppy markets this can amplify noise.
Less smoothing than SMA at long lookbacks. A 200-period WMA is somewhat smoother than a 50-WMA but never quite as smooth as a 200-SMA. For very long-term trend definition, SMA still wins.
A practical decision tree:
For Indian-index trend definition on the daily timeframe, the practical performance difference between 50-EMA, 50-WMA, and 50-SMA is small — usually 1 to 3 bars of timing difference at trend turns. The choice matters more on intraday charts where each bar is shorter and the front-of-window weighting has bigger impact.
For a head-to-head comparison of EMA and SMA specifically on NIFTY 50, see our EMA vs SMA page which publishes the average lag in trading days, total cross counts, and forward 1-day and 30-day returns for each.
These are the conventions:
The same fast/slow logic from EMA applies: slow above fast = bullish; slow below fast = bearish; the slope tells you trend strength; a fresh crossover is the trigger.
For a single WMA used as a trend filter, longer is smoother but slower. The conventional pairings — 9/21 intraday, 20/50 hourly, 50/200 daily — exist because they balance signal frequency against false-signal rate. Pushing the lookback shorter (e.g., 5/13) generates more signals but most of the extra signals are noise. Pushing it longer (e.g., 100/300) suppresses noise but you’ll be late to trend changes.
For Indian indices specifically, the daily 50-period and 200-period are the most quoted because they correspond loosely to “the 2-month average” and “the 9-month average” — meaningful chunks of business cycle. WMA at these lookbacks tends to flip 1–3 trading days before SMA at the same length and roughly together with EMA.
A WMA on its own is a single number that says one thing: are recent prices net-up or net-down on this lookback? It tells you nothing about regime, volatility, or alignment across timeframes. For a complete picture before taking a WMA-driven trade:
A WMA crossover on the 15-minute chart, confirmed by 1-hour regime alignment and a low whipsaw count, is a far higher-conviction setup than a WMA crossover taken in isolation.
WMA is a useful middle-ground moving average — faster than SMA, simpler than EMA, with a clean linear weighting that’s easy to understand and easy to implement. For Indian-index daily trend filtering, the 50-WMA is a sensible alternative to the more popular 50-EMA. On intraday charts, 9-WMA and 21-WMA crossovers fire slightly earlier than EMA equivalents. As always, no single moving average is a complete trading system — pair it with regime and alignment filters before risking real capital.