Calculator TSI (True Strength Index)
Analyze momentum and trend strength with high precision.
What is Calculator TSI?
The calculator tsi is a specialized technical analysis tool designed to compute the True Strength Index (TSI). Developed by William Blau, the TSI is a momentum oscillator that helps traders determine overbought and oversold conditions, signal potential trend reversals, and confirm price direction through centerline crossovers.
Unlike simple oscillators, the calculator tsi uses a double-smoothing process based on Exponential Moving Averages (EMA). This reduces “noise” and provides a much smoother curve than the Relative Strength Index (RSI) or Stochastics. Investors use the calculator tsi to filter out short-term fluctuations and focus on the primary market trend.
A common misconception is that the calculator tsi is the same as the MACD. While both use EMAs, the TSI is unique because it is “double-smoothed” and then divided by a double-smoothed absolute price change, which normalizes the result between +100 and -100.
Calculator TSI Formula and Mathematical Explanation
The math behind the calculator tsi involves several layers of smoothing. Here is the step-by-step derivation:
- Price Change (PC): Today’s Close – Yesterday’s Close.
- First Smoothing: A 25-period EMA of the PC.
- Second Smoothing: A 13-period EMA of the First Smoothing result.
- Absolute Price Change (APC): The absolute value of the Price Change.
- Double Smooth APC: Repeat the same 25 and 13-period EMA smoothing on the APC values.
- Final TSI: 100 * (Double Smoothed PC / Double Smoothed APC).
| Variable | Meaning | Unit | Typical Range |
|---|---|---|---|
| Price Close | The closing price of the asset | Currency/Points | Asset Dependent |
| r | Long smoothing period | Periods (Days) | 20 – 30 |
| s | Short smoothing period | Periods (Days) | 5 – 15 |
| TSI Output | The resulting index value | Index Points | -100 to +100 |
Practical Examples (Real-World Use Cases)
Example 1: Identifying a Bullish Crossover
Imagine a stock trading at $150. Over 30 days, the price consistently rises to $170. Using the calculator tsi with (25, 13) settings, the TSI line crosses from -15 to +5. This “centerline crossover” signals that the momentum has shifted from negative to positive, encouraging a “Buy” position.
Example 2: Overbought Exhaustion
During a parabolic run, a cryptocurrency reaches a TSI value of +75. The calculator tsi indicates an extreme overbought condition. As the TSI begins to slope downward while the price is still rising (divergence), the trader recognizes a potential reversal and sets a tight stop-loss.
How to Use This Calculator TSI
- Input Prices: Paste your historical closing prices into the text area. Use commas to separate them.
- Set Periods: Choose your smoothing lengths. 25 and 13 are industry standards, but shorter periods (e.g., 13, 7) make the calculator tsi more sensitive.
- Analyze Results: Look at the primary TSI value. Above 0 is bullish; below 0 is bearish.
- Review the Chart: Watch the trend of the blue line. If it is rising, momentum is increasing.
For better results, compare these figures with relative strength index guide metrics to confirm momentum signals.
Key Factors That Affect Calculator TSI Results
- Smoothing Periods (r and s): Longer periods create a lag but fewer false signals; shorter periods respond faster to price changes but can be “choppy.”
- Price Volatility: High volatility assets (like tech stocks) will cause the calculator tsi to reach extreme levels more frequently.
- Data Sample Size: Because EMAs are recursive, you need a long history of prices (at least 3x the longest smoothing period) for the calculator tsi to stabilize.
- Time Horizon: Daily data is standard, but the calculator tsi works on 5-minute charts for scalping or weekly charts for long-term investing.
- Market Trend: In a strong trending market, the TSI may stay above/below zero for months, making it a “trend-following” indicator rather than just an oscillator.
- Price Gaps: Large overnight gaps significantly impact the “Price Change” component, causing sharp spikes in the index.
Frequently Asked Questions (FAQ)