Definition
EMA applies exponentially decreasing weights to older prices, making it more responsive to recent price changes than SMA. The weighting multiplier is 2/(period+1). Traders often use 12-day and 26-day EMAs for MACD calculation, and 9-day EMA for signal lines.
Formula
Example
For a 10-day EMA, k = 2/11 = 0.182. If yesterday's EMA was $50 and today's close is $52, today's EMA = $52 × 0.182 + $50 × 0.818 = $50.36.
FAQ
What is Exponential Moving Average (EMA)?
A moving average that gives more weight to recent prices.
How do you calculate Exponential Moving Average (EMA)?
A common formula for Exponential Moving Average (EMA) is: EMA = Price(t) × k + EMA(y) × (1-k), where k = 2/(n+1)
Why is Exponential Moving Average (EMA) important?
Exponential Moving Average (EMA) helps investors evaluate technical analysis and make more informed decisions.
Related Terms
Simple Moving Average (SMA)
An average of closing prices over a specific number of periods.
MACD (Moving Average Convergence Divergence)
A trend-following momentum indicator showing the relationship between two moving averages.
Moving Average
An indicator that smooths price data by calculating the average over a specific period.