# BTC - Power Law Oscillator with Dynamic Bands
Introducing the **BTC - Power Law Oscillator with Dynamic Bands**, a cutting-edge TradingView indicator designed to help traders identify key market conditions for Bitcoin using mathematical modeling and statistical insights. Here's everything you need to know:
## 🎯 Key Features:
1. **Power Law Oscillator**: Tracks Bitcoin's deviation from an exponential growth model since its inception (January 3, 2009). This oscillator provides insights into BTC's price positioning relative to historical trends.
2. **Dynamic Bands**: Automatically calculates upper and lower percentile bands to identify overbought and oversold conditions dynamically, based on recent oscillator values.
3. **Customizable Percentiles**: Users can adjust the upper and lower percentile thresholds to fine-tune the overbought/oversold zones according to their trading strategy.
4. **Visual Highlights**: Easily spot key zones with color-coded background highlighting:
- 🔴 **Overbought**: Oscillator exceeds the upper band.
- 🟢 **Oversold**: Oscillator falls below the lower band.
## 📈 How It Works:
- The indicator computes Bitcoin's model price using an **exponential growth formula**:
\[
\text{price} = \exp(5.71 \cdot \ln(\text{days}) - 38.16)
\]
- The **Power Law Oscillator** measures the percentage deviation of the actual BTC price from this model.
- Upper and lower bands are derived from the oscillator's historical percentiles, dynamically adjusting based on the last 200 bars (default setting).
## 🛠️ Customization Options:
- **Percentile Calculation Period**: Set the number of bars used for percentile calculations.
- **Upper Percentile**: Default at 95% for identifying extreme overbought conditions.
- **Lower Percentile**: Default at 45% for pinpointing oversold conditions.
## 📊 Use Cases:
- Spot reversal points in extreme market conditions.
- Monitor Bitcoin's behavior relative to long-term growth trends.
- Enhance your trading strategy with dynamic overbought/oversold zones.