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BTC - Power Law Oscillator

Description:
The BTC - Power Law Oscillator is a technical analysis tool designed to help traders and investors identify potential overbought and oversold conditions in the Bitcoin market. This oscillator is based on a power law model that approximates Bitcoin's historical price trajectory, providing a framework for understanding deviations from this trajectory over time.
Key Features:
Exponential Model: The oscillator uses an exponential model that represents Bitcoin's price growth over time since its inception on January 3, 2009. This model is mathematically expressed as:
price=exp(5.71×ln(days since inception)−38.16)
This captures the long-term growth trend of Bitcoin, allowing for the analysis of deviations from this model.
Deviation Analysis: The Power Law Oscillator measures the percentage deviation of Bitcoin's closing price from the model price. This deviation is expressed as a percentage to illustrate how far the current price is from the expected model trajectory.
Normalization: The oscillator values are normalized to a 0-100 range. A quadratic transformation is applied to enhance sensitivity to higher values, allowing for better visualization and interpretation of extreme conditions.
Bands and Zones:
Upper Band (50): Indicates the 20% threshold. Values above this band suggest overbought conditions, where Bitcoin's price may be significantly above the expected trajectory.
Lower Band (15): Indicates the 5% threshold. Values below this band suggest oversold conditions, where Bitcoin's price may be significantly below the expected trajectory.
Top Zone: The area above the upper band is shaded red, highlighting potential sell or caution areas.
Bottom Zone: The area below the lower band is shaded green, highlighting potential buy or accumulation areas.
Benefits:
Trend Analysis: Helps identify long-term trends and potential reversals by analyzing price deviations from a theoretical model based on historical growth.
Market Timing: Assists in market timing decisions by indicating overbought and oversold conditions with visual bands and zones.
Enhanced Sensitivity: The quadratic normalization enhances sensitivity to changes in the oscillator, providing clearer signals for traders.
Usage Tips:
Complementary Tool: Use this oscillator in conjunction with other technical indicators and fundamental analysis for more comprehensive market insights.
Risk Management: Always employ sound risk management strategies when trading, as no single indicator can guarantee accurate predictions.
Market Context: Consider the broader market context, as Bitcoin's volatility can lead to significant short-term fluctuations.
The BTC - Power Law Oscillator provides a unique perspective on Bitcoin's price movements by leveraging a mathematical model to understand historical growth trends and deviations. Use this tool to gain deeper insights into market dynamics and enhance your trading strategy.
The BTC - Power Law Oscillator is a technical analysis tool designed to help traders and investors identify potential overbought and oversold conditions in the Bitcoin market. This oscillator is based on a power law model that approximates Bitcoin's historical price trajectory, providing a framework for understanding deviations from this trajectory over time.
Key Features:
Exponential Model: The oscillator uses an exponential model that represents Bitcoin's price growth over time since its inception on January 3, 2009. This model is mathematically expressed as:
price=exp(5.71×ln(days since inception)−38.16)
This captures the long-term growth trend of Bitcoin, allowing for the analysis of deviations from this model.
Deviation Analysis: The Power Law Oscillator measures the percentage deviation of Bitcoin's closing price from the model price. This deviation is expressed as a percentage to illustrate how far the current price is from the expected model trajectory.
Normalization: The oscillator values are normalized to a 0-100 range. A quadratic transformation is applied to enhance sensitivity to higher values, allowing for better visualization and interpretation of extreme conditions.
Bands and Zones:
Upper Band (50): Indicates the 20% threshold. Values above this band suggest overbought conditions, where Bitcoin's price may be significantly above the expected trajectory.
Lower Band (15): Indicates the 5% threshold. Values below this band suggest oversold conditions, where Bitcoin's price may be significantly below the expected trajectory.
Top Zone: The area above the upper band is shaded red, highlighting potential sell or caution areas.
Bottom Zone: The area below the lower band is shaded green, highlighting potential buy or accumulation areas.
Benefits:
Trend Analysis: Helps identify long-term trends and potential reversals by analyzing price deviations from a theoretical model based on historical growth.
Market Timing: Assists in market timing decisions by indicating overbought and oversold conditions with visual bands and zones.
Enhanced Sensitivity: The quadratic normalization enhances sensitivity to changes in the oscillator, providing clearer signals for traders.
Usage Tips:
Complementary Tool: Use this oscillator in conjunction with other technical indicators and fundamental analysis for more comprehensive market insights.
Risk Management: Always employ sound risk management strategies when trading, as no single indicator can guarantee accurate predictions.
Market Context: Consider the broader market context, as Bitcoin's volatility can lead to significant short-term fluctuations.
The BTC - Power Law Oscillator provides a unique perspective on Bitcoin's price movements by leveraging a mathematical model to understand historical growth trends and deviations. Use this tool to gain deeper insights into market dynamics and enhance your trading strategy.
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オープンソーススクリプト
TradingViewの精神に則り、この作者はスクリプトのソースコードを公開しているので、その内容を理解し検証することができます。作者に感謝です!無料でお使いいただけますが、このコードを投稿に再利用する際にはハウスルールに従うものとします。
免責事項
これらの情報および投稿は、TradingViewが提供または保証する金融、投資、取引、またはその他の種類のアドバイスや推奨を意図したものではなく、またそのようなものでもありません。詳しくは利用規約をご覧ください。