EMA Log Return
EMA Log Return (N Bars)
This indicator measures the logarithmic return of an Exponential Moving Average (EMA) over a configurable number of bars.
Instead of calculating returns from price, the script calculates returns from a smoothed series (EMA). This reduces noise and highlights structural momentum in the market.
The log return is computed as:
log( EMA(t) / EMA(t − N) )
Where:
EMA(t) — current EMA value
EMA(t − N) — EMA value N bars ago
Inputs
EMA Length — period of the exponential moving average (default: 100)
Return Bars (N) — number of bars used to compute the logarithmic return (default: 5)
Interpretation
Positive values → EMA is increasing relative to N bars ago (upward momentum)
Negative values → EMA is decreasing relative to N bars ago (downward momentum)
Zero line → no net change in the EMA over the selected interval
Because the calculation is based on EMA rather than raw price, the indicator can be useful for identifying smoother momentum regimes and trend acceleration.
Typical Use Cases
Trend strength estimation
Momentum regime detection
Quantitative signal inputs
Filtering noisy price returns
The parameters can be adjusted to match different trading horizons or market volatility.
This indicator measures the logarithmic return of an Exponential Moving Average (EMA) over a configurable number of bars.
Instead of calculating returns from price, the script calculates returns from a smoothed series (EMA). This reduces noise and highlights structural momentum in the market.
The log return is computed as:
log( EMA(t) / EMA(t − N) )
Where:
EMA(t) — current EMA value
EMA(t − N) — EMA value N bars ago
Inputs
EMA Length — period of the exponential moving average (default: 100)
Return Bars (N) — number of bars used to compute the logarithmic return (default: 5)
Interpretation
Positive values → EMA is increasing relative to N bars ago (upward momentum)
Negative values → EMA is decreasing relative to N bars ago (downward momentum)
Zero line → no net change in the EMA over the selected interval
Because the calculation is based on EMA rather than raw price, the indicator can be useful for identifying smoother momentum regimes and trend acceleration.
Typical Use Cases
Trend strength estimation
Momentum regime detection
Quantitative signal inputs
Filtering noisy price returns
The parameters can be adjusted to match different trading horizons or market volatility.
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