Simple Moving Average (SMA)

Name Type Prerequisite Use Cases
Simple Moving Average (SMA) Trend OHLC Data Baseline trend identification and institutional support/resistance.

Definition

The Simple Moving Average (SMA) is one of the most fundamental technical indicators used in financial analysis. It calculates the arithmetic mean of a security's prices over a specific number of periods. By smoothing out price data, the SMA helps to identify the direction of the trend and filter out short-term price fluctuations or "noise." It is a lagging indicator, meaning it reacts to past price movements.

Mathematical Equation

The SMA is calculated by summing the closing prices over the last \(n\) periods and dividing by \(n\).

\[ SMA_n = \frac{P_1 + P_2 + \dots + P_n}{n} \]

Where:

  • \(P_i\) is the price at period \(i\)

  • \(n\) is the number of periods

Special cases

  • Maximum possible value: Unbounded
  • Minimum possible value: 0
  • Behavior: Follows the price smoothly to highlight the underlying trend.

Visualization

SMA

Trading Significance

The SMA is widely used by traders for several purposes:

  1. Trend Identification: If the price is above the rising SMA, the trend is considered bullish (upward). Conversely, if the price is below the falling SMA, the trend is bearish (downward).

  2. Support and Resistance: Major SMAs (like the 50-day or 200-day) often act as dynamic support levels in uptrends and resistance levels in downtrends.

  3. Crossovers:

    • Price Crossover: A buy signal is generated when the price crosses above the SMA, and a sell signal when it crosses below.

    • MA Crossover: Traders often use two SMAs (e.g., 50-day and 200-day). A "Golden Cross" occurs when the shorter-term SMA crosses above the longer-term SMA (bullish), while a "Death Cross" occurs when it crosses below (bearish).