Rate of Change (ROC)

Name Type Prerequisite Use Cases
Rate of Change (ROC) Momentum OHLC Data Identifies price velocity and potential trend exhaustion.

Definition

The Price Rate of Change (ROC) is a momentum-based technical indicator that measures the percentage change in price between the current price and the price a certain number of periods ago.

Mathematical Equation

\[ ROC = \frac{\text{Close}_t - \text{Close}_{t-n}}{\text{Close}_{t-n}} \times 100 \]

Special cases

  • Maximum possible value: Unbounded
  • Minimum possible value: Unbounded
  • Behavior: Oscillates around zero, representing the percentage change in price over a period.

Visualization

ROC

Trading Significance

  1. Momentum: Rising ROC indicates increasing bullish momentum. Falling ROC (even if positive) indicates waning momentum.

  2. Zero Line Cross: Crossing above zero is a buy signal; below zero is a sell signal.