# Volatility-Adjusted Bands ⎊ Area ⎊ Greeks.live --- ## What is the Application of Volatility-Adjusted Bands? Volatility-Adjusted Bands represent a dynamic adaptation of traditional Bollinger Bands, specifically engineered for the unique characteristics of cryptocurrency and derivatives markets. These bands incorporate implied volatility, derived from options pricing models, to refine the standard deviation calculation, providing a more responsive measure of price fluctuation. Their primary application lies in identifying potential overbought or oversold conditions, adjusting for the inherent volatility skew often present in these asset classes, and informing trading decisions related to mean reversion or breakout strategies. Consequently, traders utilize these bands to dynamically adjust position sizing and risk parameters based on prevailing market conditions and anticipated price movements. ## What is the Calculation of Volatility-Adjusted Bands? The construction of Volatility-Adjusted Bands begins with determining the implied volatility from actively traded options contracts related to the underlying asset, often utilizing a surface constructed from multiple strike prices and expiration dates. This implied volatility figure then replaces or is weighted with the historical volatility component typically used in standard Bollinger Bands, influencing the band's width. The central moving average remains a key component, with the bands positioned at a specified number of standard deviations—adjusted by the volatility input—above and below this average. Precise formulas vary, but commonly involve a weighted average of historical and implied volatility, ensuring responsiveness to both past price action and current market expectations. ## What is the Adjustment of Volatility-Adjusted Bands? These bands offer a crucial adjustment to traditional volatility measures, recognizing that historical volatility alone can be a lagging indicator in rapidly evolving markets like cryptocurrency. By incorporating implied volatility, the bands proactively reflect market sentiment and anticipated price swings, enhancing their predictive capability. This adjustment is particularly valuable during periods of significant news events or macroeconomic shifts, where implied volatility tends to spike, signaling increased uncertainty and potential for large price movements. The dynamic nature of the adjustment allows for a more nuanced assessment of risk and opportunity, facilitating more informed trading strategies and portfolio management. --- ## [Asset Rebalancing Strategies](https://term.greeks.live/term/asset-rebalancing-strategies/) Meaning ⎊ Asset Rebalancing Strategies maintain portfolio risk profiles through systematic derivative adjustments, mitigating volatility-induced asset drift. ⎊ Term ## [Latency Adjusted Pricing](https://term.greeks.live/term/latency-adjusted-pricing/) Meaning ⎊ Latency Adjusted Pricing reconciles temporal drift in decentralized markets by incorporating data age into valuation to prevent toxic arbitrage. ⎊ Term ## [Real-Time Circuit Breakers](https://term.greeks.live/term/real-time-circuit-breakers/) Meaning ⎊ Real-time circuit breakers serve as the critical algorithmic governors that halt systemic contagion by decoupling recursive liquidation feedback loops. ⎊ Term ## [Risk-Adjusted Cost of Carry Calculation](https://term.greeks.live/term/risk-adjusted-cost-of-carry-calculation/) Meaning ⎊ RACC is the dynamic quantification of a derivative's true forward price, correcting for the non-trivial smart contract and systemic risks inherent to decentralized collateral and settlement. ⎊ Term ## [Gas Adjusted Options Value](https://term.greeks.live/term/gas-adjusted-options-value/) Meaning ⎊ Gas Adjusted Options Value quantifies the net economic worth of on-chain derivatives by integrating variable transaction costs into pricing models. ⎊ Term ## [Risk-Adjusted Capital Allocation](https://term.greeks.live/definition/risk-adjusted-capital-allocation/) Strategically distributing capital to match the specific risk profiles of different assets to maintain protocol stability. ⎊ Term ## [Risk Adjusted Margin Requirements](https://term.greeks.live/term/risk-adjusted-margin-requirements/) Meaning ⎊ Risk Adjusted Margin Requirements are a core mechanism for optimizing capital efficiency in derivatives by calculating collateral based on a portfolio's net risk rather than static requirements. ⎊ Term ## [Risk-Adjusted Leverage](https://term.greeks.live/definition/risk-adjusted-leverage/) Leverage limits scaled according to the specific risk profile and volatility of the underlying asset. ⎊ Term ## [Risk-Adjusted Protocol Parameters](https://term.greeks.live/term/risk-adjusted-protocol-parameters/) Meaning ⎊ Risk-adjusted protocol parameters dynamically adjust leverage and collateral requirements based on real-time market volatility and portfolio risk metrics to ensure decentralized protocol solvency. ⎊ Term ## [Risk-Adjusted Return on Capital](https://term.greeks.live/definition/risk-adjusted-return-on-capital/) A performance metric evaluating investment profitability by normalizing returns against protocol risk and volatility. ⎊ Term ## [Risk-Adjusted Margin Systems](https://term.greeks.live/term/risk-adjusted-margin-systems/) Meaning ⎊ Risk-Adjusted Margin Systems calculate collateral requirements based on a portfolio's net risk exposure, enabling capital efficiency and systemic resilience in volatile crypto derivatives markets. ⎊ Term ## [Risk-Adjusted Price Feed](https://term.greeks.live/term/risk-adjusted-price-feed/) Meaning ⎊ A risk-adjusted price feed provides a dynamic collateral valuation by incorporating real-time volatility and liquidity data to mitigate systemic risk in decentralized derivatives markets. ⎊ Term ## [Risk-Adjusted Capital Efficiency](https://term.greeks.live/term/risk-adjusted-capital-efficiency/) Meaning ⎊ Risk-Adjusted Capital Efficiency quantifies the return generated per unit of capital at risk, serving as the core metric for balancing security and capital utilization in decentralized options protocols. ⎊ Term ## [Risk-Adjusted Collateralization](https://term.greeks.live/term/risk-adjusted-collateralization/) Meaning ⎊ Risk-Adjusted Collateralization dynamically calculates collateral requirements based on asset risk to enhance capital efficiency and systemic solvency in decentralized derivatives. ⎊ Term ## [Risk-Adjusted Collateral](https://term.greeks.live/term/risk-adjusted-collateral/) Meaning ⎊ Risk-Adjusted Collateral dynamically discounts collateral value based on volatility and liquidity to prevent cascading liquidations during market downturns. ⎊ Term ## [Volatility Regimes](https://term.greeks.live/definition/volatility-regimes/) Distinct periods of market behavior defined by varying levels of volatility and characteristic price action patterns. ⎊ Term ## [Volatility Management](https://term.greeks.live/definition/volatility-management/) Strategies and instruments used to control the impact of price fluctuations on a portfolio. ⎊ Term ## [Local Volatility Models](https://term.greeks.live/definition/local-volatility-models/) Advanced pricing models where volatility depends on price and time to match observed market option prices perfectly. ⎊ Term ## [Volatility Risk Management](https://term.greeks.live/definition/volatility-risk-management/) Strategies and tools used to mitigate the impact of extreme price fluctuations within a high-risk asset portfolio. ⎊ Term ## [Synthetic Volatility Products](https://term.greeks.live/term/synthetic-volatility-products/) Meaning ⎊ Synthetic volatility products isolate and financialize price fluctuation, allowing for direct speculation on or hedging against future market uncertainty without directional price exposure. ⎊ Term ## [Volatility Futures](https://term.greeks.live/term/volatility-futures/) Meaning ⎊ Volatility futures are derivatives that enable participants to trade on the market's expected future price variance, providing essential tools for hedging risk and speculating on market sentiment. ⎊ Term ## [Volatility Exposure](https://term.greeks.live/definition/volatility-exposure/) The degree to which a portfolio is sensitive to fluctuations in the implied volatility of the underlying assets. ⎊ Term ## [Digital Asset Volatility](https://term.greeks.live/term/digital-asset-volatility/) Meaning ⎊ Digital Asset Volatility, driven by protocol physics and behavioral feedback loops, requires risk models that account for systemic on-chain risks. ⎊ Term ## [Volatility Spikes](https://term.greeks.live/definition/volatility-spikes/) Sudden, intense increases in market volatility, often resulting in rapid price swings and increased risk. ⎊ Term ## [Historical Volatility](https://term.greeks.live/definition/historical-volatility/) A statistical measure of past price dispersion over a specific period, usually expressed as an annualized percentage. ⎊ Term ## [Volatility Oracles](https://term.greeks.live/term/volatility-oracles/) Meaning ⎊ Volatility Oracles provide the critical, forward-looking risk metric required for accurate options pricing and robust collateral management in decentralized markets. ⎊ Term ## [Volatility Derivatives](https://term.greeks.live/term/volatility-derivatives/) Meaning ⎊ Volatility derivatives are essential instruments for isolating and managing the extreme price variance and systemic risk inherent in decentralized financial markets. ⎊ Term ## [Volatility Forecasting](https://term.greeks.live/term/volatility-forecasting/) Meaning ⎊ Volatility forecasting in crypto options requires integrating market microstructure and behavioral data to model systemic risk, moving beyond traditional statistical models to capture non-linear market dynamics. ⎊ Term ## [Volatility Swaps](https://term.greeks.live/term/volatility-swaps/) Meaning ⎊ A volatility swap is a derivative contract designed to exchange a fixed rate of volatility for the realized volatility of an underlying asset over a specified period. ⎊ Term ## [Volatility Risk Premium](https://term.greeks.live/definition/volatility-risk-premium/) The excess return earned by selling options, reflecting the gap between expected and actual asset price fluctuations. ⎊ Term --- ## 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Light blue and beige components interlock within the frame, with a bright green piece positioned along the upper edge." } }, { "@type": "Article", "@id": "https://term.greeks.live/definition/volatility-regimes/", "url": "https://term.greeks.live/definition/volatility-regimes/", "headline": "Volatility Regimes", "description": "Distinct periods of market behavior defined by varying levels of volatility and characteristic price action patterns. ⎊ Term", "datePublished": "2025-12-14T09:53:29+00:00", "dateModified": "2026-03-22T05:11:20+00:00", "author": { "@type": "Person", "name": "Greeks.live", "url": "https://term.greeks.live/author/greeks-live/" }, "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/intertwined-layers-symbolizing-complex-defi-synthetic-assets-and-advanced-volatility-hedging-mechanics.jpg", "width": 3850, "height": 2166, "caption": "A digital rendering presents a series of fluid, overlapping, ribbon-like forms. The layers are rendered in shades of dark blue, lighter blue, beige, and vibrant green against a dark background." } }, { "@type": "Article", "@id": "https://term.greeks.live/definition/volatility-management/", "url": "https://term.greeks.live/definition/volatility-management/", "headline": "Volatility Management", "description": "Strategies and instruments used to control the impact of price fluctuations on a portfolio. ⎊ Term", "datePublished": "2025-12-14T09:46:00+00:00", "dateModified": "2026-04-03T10:17:53+00:00", "author": { "@type": "Person", "name": "Greeks.live", "url": "https://term.greeks.live/author/greeks-live/" }, "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/decentralized-finance-volatility-management-and-interconnected-collateral-flow-visualization.jpg", "width": 3850, "height": 2166, "caption": "A complex, multicolored spiral vortex rotates around a central glowing green core. The structure consists of interlocking, ribbon-like segments that transition in color from deep blue to light blue, white, and green as they approach the center, creating a sense of dynamic motion against a solid dark background." } }, { "@type": "Article", "@id": "https://term.greeks.live/definition/local-volatility-models/", "url": "https://term.greeks.live/definition/local-volatility-models/", "headline": "Local Volatility Models", "description": "Advanced pricing models where volatility depends on price and time to match observed market option prices perfectly. ⎊ Term", "datePublished": "2025-12-14T09:41:45+00:00", "dateModified": "2026-04-01T08:43:02+00:00", "author": { "@type": "Person", "name": "Greeks.live", "url": "https://term.greeks.live/author/greeks-live/" }, "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/conceptual-framework-for-decentralized-finance-derivative-protocol-smart-contract-architecture-and-volatility-surface-hedging.jpg", "width": 3850, "height": 2166, "caption": "The image displays a futuristic, angular structure featuring a geometric, white lattice frame surrounding a dark blue internal mechanism. A vibrant, neon green ring glows from within the structure, suggesting a core of energy or data processing at its center." } }, { "@type": "Article", "@id": "https://term.greeks.live/definition/volatility-risk-management/", "url": "https://term.greeks.live/definition/volatility-risk-management/", "headline": "Volatility Risk Management", "description": "Strategies and tools used to mitigate the impact of extreme price fluctuations within a high-risk asset portfolio. ⎊ Term", "datePublished": "2025-12-14T09:26:09+00:00", "dateModified": "2026-03-25T04:32:50+00:00", "author": { "@type": "Person", "name": "Greeks.live", "url": "https://term.greeks.live/author/greeks-live/" }, "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/decentralized-options-trading-mechanism-algorithmic-collateral-management-and-implied-volatility-dynamics-within-defi-protocols.jpg", "width": 3850, "height": 2166, "caption": "A close-up view shows a sophisticated mechanical component, featuring a central dark blue structure containing rotating bearings and an axle. A prominent, vibrant green flexible band wraps around a light-colored inner ring, guided by small grey points." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/synthetic-volatility-products/", "url": "https://term.greeks.live/term/synthetic-volatility-products/", "headline": "Synthetic Volatility Products", "description": "Meaning ⎊ Synthetic volatility products isolate and financialize price fluctuation, allowing for direct speculation on or hedging against future market uncertainty without directional price exposure. ⎊ Term", "datePublished": "2025-12-13T11:16:25+00:00", "dateModified": "2026-01-04T13:01:54+00:00", "author": { "@type": "Person", "name": "Greeks.live", "url": "https://term.greeks.live/author/greeks-live/" }, "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/visualizing-decentralized-finance-protocol-mechanics-and-synthetic-asset-liquidity-layering-with-implied-volatility-risk-hedging-strategies.jpg", "width": 3850, "height": 2166, "caption": "A layered abstract form twists dynamically against a dark background, illustrating complex market dynamics and financial engineering principles. The gradient from dark navy to vibrant green represents the progression of risk exposure and potential return within structured financial products and collateralized debt positions." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/volatility-futures/", "url": "https://term.greeks.live/term/volatility-futures/", "headline": "Volatility Futures", "description": "Meaning ⎊ Volatility futures are derivatives that enable participants to trade on the market's expected future price variance, providing essential tools for hedging risk and speculating on market sentiment. ⎊ Term", "datePublished": "2025-12-13T11:11:30+00:00", "dateModified": "2026-01-04T12:59:41+00:00", "author": { "@type": "Person", "name": "Greeks.live", "url": "https://term.greeks.live/author/greeks-live/" }, "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/algorithmic-perpetual-futures-execution-engine-digital-asset-risk-aggregation-node.jpg", "width": 3850, "height": 2166, "caption": "The image captures a detailed shot of a glowing green circular mechanism embedded in a dark, flowing surface. The central focus glows intensely, surrounded by concentric rings." } }, { "@type": "Article", "@id": "https://term.greeks.live/definition/volatility-exposure/", "url": "https://term.greeks.live/definition/volatility-exposure/", "headline": "Volatility Exposure", "description": "The degree to which a portfolio is sensitive to fluctuations in the implied volatility of the underlying assets. ⎊ Term", "datePublished": "2025-12-13T11:07:32+00:00", "dateModified": "2026-03-25T08:16:20+00:00", "author": { "@type": "Person", "name": "Greeks.live", "url": "https://term.greeks.live/author/greeks-live/" }, "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/dynamic-representation-of-layered-risk-exposure-and-volatility-shifts-in-decentralized-finance-derivatives.jpg", "width": 3850, "height": 2166, "caption": "The abstract composition features a series of flowing, undulating lines in a complex layered structure. The dominant color palette consists of deep blues and black, accented by prominent bands of bright green, beige, and light blue." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/digital-asset-volatility/", "url": "https://term.greeks.live/term/digital-asset-volatility/", "headline": "Digital Asset Volatility", "description": "Meaning ⎊ Digital Asset Volatility, driven by protocol physics and behavioral feedback loops, requires risk models that account for systemic on-chain risks. ⎊ Term", "datePublished": "2025-12-13T10:51:10+00:00", "dateModified": "2025-12-14T05:21:03+00:00", "author": { "@type": "Person", "name": "Greeks.live", "url": "https://term.greeks.live/author/greeks-live/" }, "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/intertwined-layers-symbolizing-complex-defi-synthetic-assets-and-advanced-volatility-hedging-mechanics.jpg", "width": 3850, "height": 2166, "caption": "A digital rendering presents a series of fluid, overlapping, ribbon-like forms. The layers are rendered in shades of dark blue, lighter blue, beige, and vibrant green against a dark background." } }, { "@type": "Article", "@id": "https://term.greeks.live/definition/volatility-spikes/", "url": "https://term.greeks.live/definition/volatility-spikes/", "headline": "Volatility Spikes", "description": "Sudden, intense increases in market volatility, often resulting in rapid price swings and increased risk. ⎊ Term", "datePublished": "2025-12-13T10:31:56+00:00", "dateModified": "2026-04-02T10:49:38+00:00", "author": { "@type": "Person", "name": "Greeks.live", "url": "https://term.greeks.live/author/greeks-live/" }, "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/algorithmic-smart-contract-visualization-representing-implied-volatility-and-options-risk-model-dynamics.jpg", "width": 3850, "height": 2166, "caption": "The abstract render displays a blue geometric object with two sharp white spikes and a green cylindrical component. This visualization serves as a conceptual model for complex financial derivatives within the cryptocurrency ecosystem." } }, { "@type": "Article", "@id": "https://term.greeks.live/definition/historical-volatility/", "url": "https://term.greeks.live/definition/historical-volatility/", "headline": "Historical Volatility", "description": "A statistical measure of past price dispersion over a specific period, usually expressed as an annualized percentage. ⎊ Term", "datePublished": "2025-12-13T10:08:25+00:00", "dateModified": "2026-04-08T23:26:00+00:00", "author": { "@type": "Person", "name": "Greeks.live", "url": "https://term.greeks.live/author/greeks-live/" }, "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/conceptual-framework-for-decentralized-finance-derivative-protocol-smart-contract-architecture-and-volatility-surface-hedging.jpg", "width": 3850, "height": 2166, "caption": "The image displays a futuristic, angular structure featuring a geometric, white lattice frame surrounding a dark blue internal mechanism. A vibrant, neon green ring glows from within the structure, suggesting a core of energy or data processing at its center." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/volatility-oracles/", "url": "https://term.greeks.live/term/volatility-oracles/", "headline": "Volatility Oracles", "description": "Meaning ⎊ Volatility Oracles provide the critical, forward-looking risk metric required for accurate options pricing and robust collateral management in decentralized markets. ⎊ Term", "datePublished": "2025-12-13T10:04:01+00:00", "dateModified": "2025-12-13T10:04:01+00:00", "author": { "@type": "Person", "name": "Greeks.live", "url": "https://term.greeks.live/author/greeks-live/" }, "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/complex-decentralized-finance-protocol-collateral-mechanism-featuring-automated-liquidity-management-and-interoperable-token-assets.jpg", "width": 3850, "height": 2166, "caption": "This image features a futuristic, high-tech object composed of a beige outer frame and intricate blue internal mechanisms, with prominent green faceted crystals embedded at each end. The design represents a complex, high-performance financial derivative mechanism within a decentralized finance protocol." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/volatility-derivatives/", "url": "https://term.greeks.live/term/volatility-derivatives/", "headline": "Volatility Derivatives", "description": "Meaning ⎊ Volatility derivatives are essential instruments for isolating and managing the extreme price variance and systemic risk inherent in decentralized financial markets. ⎊ Term", "datePublished": "2025-12-13T10:02:59+00:00", "dateModified": "2026-03-09T13:25:09+00:00", "author": { "@type": "Person", "name": "Greeks.live", "url": "https://term.greeks.live/author/greeks-live/" }, "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/asymmetrical-algorithmic-execution-model-for-decentralized-derivatives-exchange-volatility-management.jpg", "width": 3850, "height": 2166, "caption": "A futuristic, sharp-edged object with a dark blue and cream body, featuring a bright green lens or eye-like sensor component. The object's asymmetrical and aerodynamic form suggests advanced technology and high-speed motion against a dark blue background." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/volatility-forecasting/", "url": "https://term.greeks.live/term/volatility-forecasting/", "headline": "Volatility Forecasting", "description": "Meaning ⎊ Volatility forecasting in crypto options requires integrating market microstructure and behavioral data to model systemic risk, moving beyond traditional statistical models to capture non-linear market dynamics. ⎊ Term", "datePublished": "2025-12-13T10:01:54+00:00", "dateModified": "2026-01-04T12:57:01+00:00", "author": { "@type": "Person", "name": "Greeks.live", "url": "https://term.greeks.live/author/greeks-live/" }, "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/dynamic-financial-derivatives-liquidity-funnel-representing-volatility-surface-and-implied-volatility-dynamics.jpg", "width": 3850, "height": 2166, "caption": "This abstract visual composition features smooth, flowing forms in deep blue tones, contrasted by a prominent, bright green segment. The design conceptually models the intricate mechanics of financial derivatives and structured products in a modern DeFi ecosystem." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/volatility-swaps/", "url": "https://term.greeks.live/term/volatility-swaps/", "headline": "Volatility Swaps", "description": "Meaning ⎊ A volatility swap is a derivative contract designed to exchange a fixed rate of volatility for the realized volatility of an underlying asset over a specified period. ⎊ Term", "datePublished": "2025-12-13T09:53:56+00:00", "dateModified": "2026-01-04T12:54:45+00:00", "author": { "@type": "Person", "name": "Greeks.live", "url": "https://term.greeks.live/author/greeks-live/" }, "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/algorithmic-collateralization-mechanism-for-cross-chain-asset-tokenization-and-advanced-defi-derivative-securitization.jpg", "width": 3850, "height": 2166, "caption": "A minimalist, dark blue object, shaped like a carabiner, holds a light-colored, bone-like internal component against a dark background. A circular green ring glows at the object's pivot point, providing a stark color contrast." } }, { "@type": "Article", "@id": "https://term.greeks.live/definition/volatility-risk-premium/", "url": "https://term.greeks.live/definition/volatility-risk-premium/", "headline": "Volatility Risk Premium", "description": "The excess return earned by selling options, reflecting the gap between expected and actual asset price fluctuations. ⎊ Term", "datePublished": "2025-12-13T09:50:14+00:00", "dateModified": "2026-04-08T21:16:04+00:00", "author": { "@type": "Person", "name": "Greeks.live", "url": "https://term.greeks.live/author/greeks-live/" }, "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/visualizing-layered-financial-derivative-tranches-and-decentralized-autonomous-organization-protocols.jpg", "width": 3850, "height": 2166, "caption": "The image displays an exploded technical component, separated into several distinct layers and sections. The elements include dark blue casing at both ends, several inner rings in shades of blue and beige, and a bright, glowing green ring." } } ], "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/algorithmic-asset-allocation-architecture-representing-dynamic-risk-rebalancing-in-decentralized-exchanges.jpg" } } ``` --- **Original URL:** https://term.greeks.live/area/volatility-adjusted-bands/