# Hard-Coded Liquidation Ratios ⎊ Area ⎊ Greeks.live --- ## What is the Constraint of Hard-Coded Liquidation Ratios? Hard-coded liquidation ratios represent the predetermined collateralization thresholds embedded directly into smart contract logic. These constants define the precise point at which a system automatically initiates the seizure and auction of user assets to maintain protocol solvency. By removing discretionary intervention, these parameters ensure that the mathematical integrity of the underlying derivative or lending platform remains protected against rapid price volatility. ## What is the Mechanism of Hard-Coded Liquidation Ratios? The operational process triggers when the calculated value of a user's collateral drops below the established ratio relative to their outstanding debt or open position. Upon breach, the protocol executes an immediate, permissionless sale of the collateral to cover the deficit and restore the pool balance. This automated response architecture functions as a definitive fail-safe, eliminating the latency inherent in manual margin calls or traditional broker-led liquidation processes. ## What is the Risk of Hard-Coded Liquidation Ratios? Quantitative analysts view these fixed thresholds as critical boundaries for managing tail risk and systemic insolvency within decentralized finance. If the market experiences a flash crash, these ratios dictate the severity and speed of liquidations, which can subsequently exacerbate downward price pressure through cascading sell-offs. Effective portfolio management therefore requires a sophisticated understanding of these boundaries to avoid involuntary exposure reduction during periods of high market turbulence. --- ## [Drawdown Management Strategies](https://term.greeks.live/term/drawdown-management-strategies/) Meaning ⎊ Drawdown management strategies provide the essential systemic safeguards for preserving capital integrity within volatile decentralized derivative markets. ⎊ Term ## [Collateral Efficiency Ratios](https://term.greeks.live/definition/collateral-efficiency-ratios/) A metric evaluating the ratio of leverage or borrowing power achieved relative to the amount of locked collateral. ⎊ Term ## [Over-Collateralization Ratios](https://term.greeks.live/definition/over-collateralization-ratios/) The required excess collateral value held against borrowed debt to buffer against asset price volatility and insolvency. ⎊ Term ## [Hard Fork](https://term.greeks.live/definition/hard-fork/) A non backward compatible network upgrade requiring all nodes to upgrade or risk becoming incompatible with the new chain. ⎊ Term ## [Collateral Debt Ratios](https://term.greeks.live/term/collateral-debt-ratios/) Meaning ⎊ Collateral debt ratios serve as the essential mathematical guardrail for decentralized solvency by enforcing mandatory over-collateralization. ⎊ Term ## [Collateral Coverage Ratios](https://term.greeks.live/term/collateral-coverage-ratios/) Meaning ⎊ Collateral coverage ratios provide the automated risk boundary required to maintain solvency within permissionless derivative markets. ⎊ Term ## [Hard Fork Protection](https://term.greeks.live/definition/hard-fork-protection/) Technical and social safeguards ensuring network continuity and preventing transaction replay during protocol upgrades. ⎊ Term ## [Collateralization Ratios Analysis](https://term.greeks.live/term/collateralization-ratios-analysis/) Meaning ⎊ Collateralization Ratios Analysis quantifies the safety margin between position liability and liquidation to ensure solvency in decentralized markets. ⎊ Term ## [Hard-Capped Assets](https://term.greeks.live/definition/hard-capped-assets/) Digital assets with a strict, immutable maximum supply limit, designed to ensure scarcity. ⎊ Term ## [Liquidity-Adjusted Margin Ratios](https://term.greeks.live/definition/liquidity-adjusted-margin-ratios/) Refined margin metrics that discount collateral value based on the market depth and ease of liquidation of the assets. ⎊ Term ## [Liquidity-Adjusted Ratios](https://term.greeks.live/definition/liquidity-adjusted-ratios/) Dynamic risk parameters that scale leverage limits based on the actual market liquidity available for an asset. ⎊ Term ## [Loan-to-Value Ratios](https://term.greeks.live/term/loan-to-value-ratios/) Meaning ⎊ Loan-to-Value Ratios define the permissible leverage limits in decentralized credit, balancing capital utility against the risk of protocol insolvency. ⎊ Term ## [Capital Efficiency Ratios](https://term.greeks.live/definition/capital-efficiency-ratios/) Metrics used to evaluate the amount of market exposure generated per unit of collateral deposited in a trading account. ⎊ Term ## [Hedging Ratios](https://term.greeks.live/definition/hedging-ratios/) The calculated proportions of assets used to hedge a position, ensuring the desired level of risk exposure. ⎊ Term ## [Leverage Ratios](https://term.greeks.live/definition/leverage-ratios/) The ratio of borrowed capital to owned capital, determining risk exposure and the likelihood of liquidation in trading. ⎊ Term ## [Volume and Liquidity Ratios](https://term.greeks.live/definition/volume-and-liquidity-ratios/) Numerical metrics comparing trading volume to market depth or asset size. ⎊ Term ## [Risk-Weighted Capital Ratios](https://term.greeks.live/term/risk-weighted-capital-ratios/) Meaning ⎊ Risk-Weighted Capital Ratios define the solvency threshold for crypto derivative entities by calibrating capital reserves against asset volatility. ⎊ Term ## [Liquidation Premium Calculation](https://term.greeks.live/term/liquidation-premium-calculation/) Meaning ⎊ Liquidation premiums function as a systemic volatility tax, incentivizing immediate debt resolution to maintain protocol solvency in decentralized markets. ⎊ Term ## [Liquidation Cost Analysis](https://term.greeks.live/term/liquidation-cost-analysis/) Meaning ⎊ Liquidation Cost Analysis quantifies the financial friction and capital erosion occurring during automated position closures within digital markets. ⎊ Term ## [Liquidation Black Swan](https://term.greeks.live/term/liquidation-black-swan/) Meaning ⎊ The Stochastic Solvency Rupture is a systemic failure where recursive liquidations outpace market liquidity, creating a terminal feedback loop. ⎊ Term ## [Liquidation Engine Integrity](https://term.greeks.live/term/liquidation-engine-integrity/) Meaning ⎊ Liquidation Engine Integrity is the algorithmic backstop that ensures the solvency of leveraged crypto derivatives markets by atomically closing under-collateralized positions. ⎊ Term ## [Liquidation Transaction Costs](https://term.greeks.live/term/liquidation-transaction-costs/) Meaning ⎊ Liquidation Transaction Costs quantify the total economic value lost through slippage, fees, and MEV during the forced closure of margin positions. ⎊ Term ## [Liquidation Fee Structure](https://term.greeks.live/term/liquidation-fee-structure/) Meaning ⎊ The Liquidation Fee Structure is the dynamically adjusted premium on leveraged crypto positions, essential for incentivizing external agents to restore protocol solvency and prevent systemic bad debt. ⎊ Term ## [Private Liquidation Systems](https://term.greeks.live/term/private-liquidation-systems/) Meaning ⎊ Private Liquidation Systems protect protocol solvency by internalizing distressed debt within permissioned networks to prevent cascading market failure. ⎊ Term ## [Real-Time Liquidation](https://term.greeks.live/term/real-time-liquidation/) Meaning ⎊ Real-Time Liquidation ensures systemic solvency by programmatically terminating underwater positions the instant collateral falls below maintenance levels. ⎊ Term ## [Margin-to-Liquidation Ratio](https://term.greeks.live/term/margin-to-liquidation-ratio/) Meaning ⎊ The Margin-to-Liquidation Ratio measures the proximity of a levered position to its insolvency threshold within automated clearing systems. ⎊ Term ## [Liquidation Game Modeling](https://term.greeks.live/term/liquidation-game-modeling/) Meaning ⎊ Decentralized Liquidation Game Modeling analyzes the adversarial, incentive-driven interactions between automated agents and protocol margin engines to ensure solvency against the non-linear risk of crypto options. ⎊ Term ## [Margin Call Liquidation](https://term.greeks.live/term/margin-call-liquidation/) Meaning ⎊ Margin Call Liquidation is the automated, non-discretionary forced closure of an undercollateralized leveraged position to protect protocol solvency and prevent systemic bad debt accumulation. ⎊ Term ## [Behavioral Game Theory Liquidation](https://term.greeks.live/term/behavioral-game-theory-liquidation/) Meaning ⎊ The Strategic Liquidation Reflex is the game-theoretic mechanism where the collective rational self-interest of leveraged participants triggers an algorithmically-enforced, self-accelerating price collapse. ⎊ Term ## [Zero-Knowledge Liquidation Proofs](https://term.greeks.live/term/zero-knowledge-liquidation-proofs/) Meaning ⎊ ZK-LPs cryptographically verify a solvency breach without exposing sensitive account data, transforming derivatives market microstructure to mitigate front-running and MEV. ⎊ Term --- ## Raw Schema Data ```json { "@context": "https://schema.org", "@type": "BreadcrumbList", "itemListElement": [ { "@type": "ListItem", "position": 1, "name": "Home", "item": "https://term.greeks.live/" }, { "@type": "ListItem", "position": 2, "name": "Area", "item": "https://term.greeks.live/area/" }, { "@type": "ListItem", "position": 3, "name": "Hard-Coded Liquidation Ratios", "item": "https://term.greeks.live/area/hard-coded-liquidation-ratios/" } ] } ``` ```json { "@context": "https://schema.org", "@type": "FAQPage", "mainEntity": [ { "@type": "Question", "name": "What is the Constraint of Hard-Coded Liquidation Ratios?", "acceptedAnswer": { "@type": "Answer", "text": "Hard-coded liquidation ratios represent the predetermined collateralization thresholds embedded directly into smart contract logic. 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The complex frame features a circular element resembling a wheel and several bright green cylindrical connectors." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/risk-weighted-capital-ratios/", "url": "https://term.greeks.live/term/risk-weighted-capital-ratios/", "headline": "Risk-Weighted Capital Ratios", "description": "Meaning ⎊ Risk-Weighted Capital Ratios define the solvency threshold for crypto derivative entities by calibrating capital reserves against asset volatility. ⎊ Term", "datePublished": "2026-02-14T09:15:51+00:00", "dateModified": "2026-02-14T09:17:06+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/asymmetric-data-aggregation-node-for-decentralized-autonomous-option-protocol-risk-surveillance.jpg", "width": 3850, "height": 2166, "caption": "A close-up view shows a stylized, high-tech object with smooth, matte blue surfaces and prominent circular inputs, one bright blue and one bright green, resembling asymmetric sensors. The object is framed against a dark blue background." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/liquidation-premium-calculation/", "url": "https://term.greeks.live/term/liquidation-premium-calculation/", "headline": "Liquidation Premium Calculation", "description": "Meaning ⎊ Liquidation premiums function as a systemic volatility tax, incentivizing immediate debt resolution to maintain protocol solvency in decentralized markets. ⎊ Term", "datePublished": "2026-01-08T00:02:15+00:00", "dateModified": "2026-01-08T00:17:08+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-execution-of-a-structured-options-derivative-across-multiple-decentralized-liquidity-pools.jpg", "width": 3850, "height": 2166, "caption": "A 3D render displays an intricate geometric abstraction composed of interlocking off-white, light blue, and dark blue components centered around a prominent teal and green circular element. This complex structure serves as a metaphorical representation of a sophisticated, multi-leg options derivative strategy executed on a decentralized exchange." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/liquidation-cost-analysis/", "url": "https://term.greeks.live/term/liquidation-cost-analysis/", "headline": "Liquidation Cost Analysis", "description": "Meaning ⎊ Liquidation Cost Analysis quantifies the financial friction and capital erosion occurring during automated position closures within digital markets. ⎊ Term", "datePublished": "2026-01-07T19:28:04+00:00", "dateModified": "2026-01-07T19:29:48+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/advanced-algorithmic-trading-system-for-high-frequency-crypto-derivatives-market-analysis.jpg", "width": 3850, "height": 2166, "caption": "The image displays a high-tech, multi-layered structure with aerodynamic lines and a central glowing blue element. The design features a palette of deep blue, beige, and vibrant green, creating a futuristic and precise aesthetic." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/liquidation-black-swan/", "url": "https://term.greeks.live/term/liquidation-black-swan/", "headline": "Liquidation Black Swan", "description": "Meaning ⎊ The Stochastic Solvency Rupture is a systemic failure where recursive liquidations outpace market liquidity, creating a terminal feedback loop. ⎊ Term", "datePublished": "2026-01-07T17:49:28+00:00", "dateModified": "2026-01-07T17:50:19+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/a-multi-layered-collateralization-structure-visualization-in-decentralized-finance-protocol-architecture.jpg", "width": 3850, "height": 2166, "caption": "The abstract artwork features a central, multi-layered ring structure composed of green, off-white, and black concentric forms. This structure is set against a flowing, deep blue, undulating background that creates a sense of depth and movement." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/liquidation-engine-integrity/", "url": "https://term.greeks.live/term/liquidation-engine-integrity/", "headline": "Liquidation Engine Integrity", "description": "Meaning ⎊ Liquidation Engine Integrity is the algorithmic backstop that ensures the solvency of leveraged crypto derivatives markets by atomically closing under-collateralized positions. ⎊ Term", "datePublished": "2026-01-07T16:58:58+00:00", "dateModified": "2026-01-07T17:00:55+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/advanced-synthetic-asset-execution-engine-for-decentralized-liquidity-protocol-financial-derivatives-clearing.jpg", "width": 3850, "height": 2166, "caption": "A cross-section view reveals a dark mechanical housing containing a detailed internal mechanism. The core assembly features a central metallic blue element flanked by light beige, expanding vanes that lead to a bright green-ringed outlet." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/liquidation-transaction-costs/", "url": "https://term.greeks.live/term/liquidation-transaction-costs/", "headline": "Liquidation Transaction Costs", "description": "Meaning ⎊ Liquidation Transaction Costs quantify the total economic value lost through slippage, fees, and MEV during the forced closure of margin positions. ⎊ Term", "datePublished": "2026-01-07T16:17:15+00:00", "dateModified": "2026-01-07T16:20:06+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-derivative-settlement-mechanism-and-smart-contract-risk-unbundling-protocol-visualization.jpg", "width": 3850, "height": 2166, "caption": "The abstract visualization features two cylindrical components parting from a central point, revealing intricate, glowing green internal mechanisms. The system uses layered structures and bright light to depict a complex process of separation or connection." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/liquidation-fee-structure/", "url": "https://term.greeks.live/term/liquidation-fee-structure/", "headline": "Liquidation Fee Structure", "description": "Meaning ⎊ The Liquidation Fee Structure is the dynamically adjusted premium on leveraged crypto positions, essential for incentivizing external agents to restore protocol solvency and prevent systemic bad debt. ⎊ Term", "datePublished": "2026-01-07T15:05:24+00:00", "dateModified": "2026-01-07T15:14:28+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-liquidation-engine-mechanism-for-decentralized-options-protocol-collateral-management-framework.jpg", "width": 3850, "height": 2166, "caption": "A high-resolution 3D render displays an intricate, futuristic mechanical component, primarily in deep blue, cyan, and neon green, against a dark background. The central element features a silver rod and glowing green internal workings housed within a layered, angular structure." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/private-liquidation-systems/", "url": "https://term.greeks.live/term/private-liquidation-systems/", "headline": "Private Liquidation Systems", "description": "Meaning ⎊ Private Liquidation Systems protect protocol solvency by internalizing distressed debt within permissioned networks to prevent cascading market failure. ⎊ Term", "datePublished": "2026-01-07T14:24:11+00:00", "dateModified": "2026-01-07T14:25:48+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/collateralization-mechanism-design-and-smart-contract-interoperability-in-cryptocurrency-derivatives-protocols.jpg", "width": 3850, "height": 2166, "caption": "A close-up view shows an intricate assembly of interlocking cylindrical and rod components in shades of dark blue, light teal, and beige. The elements fit together precisely, suggesting a complex mechanical or digital structure." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/real-time-liquidation/", "url": "https://term.greeks.live/term/real-time-liquidation/", "headline": "Real-Time Liquidation", "description": "Meaning ⎊ Real-Time Liquidation ensures systemic solvency by programmatically terminating underwater positions the instant collateral falls below maintenance levels. ⎊ Term", "datePublished": "2026-01-07T00:18:05+00:00", "dateModified": "2026-01-07T00:18:38+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/decentralized-perpetual-contracts-architecture-visualizing-real-time-automated-market-maker-data-flow.jpg", "width": 3850, "height": 2166, "caption": "An abstract, high-contrast image shows smooth, dark, flowing shapes with a reflective surface. A prominent green glowing light source is embedded within the lower right form, indicating a data point or status." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/margin-to-liquidation-ratio/", "url": "https://term.greeks.live/term/margin-to-liquidation-ratio/", "headline": "Margin-to-Liquidation Ratio", "description": "Meaning ⎊ The Margin-to-Liquidation Ratio measures the proximity of a levered position to its insolvency threshold within automated clearing systems. ⎊ Term", "datePublished": "2026-01-06T12:56:06+00:00", "dateModified": "2026-01-06T12:57:01+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/visualizing-complex-collateralized-positions-and-synthetic-options-derivative-protocols-risk-management.jpg", "width": 3850, "height": 2166, "caption": "A high-resolution 3D render shows a complex mechanical component with a dark blue body featuring sharp, futuristic angles. A bright green rod is centrally positioned, extending through interlocking blue and white ring-like structures, emphasizing a precise connection mechanism." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/liquidation-game-modeling/", "url": "https://term.greeks.live/term/liquidation-game-modeling/", "headline": "Liquidation Game Modeling", "description": "Meaning ⎊ Decentralized Liquidation Game Modeling analyzes the adversarial, incentive-driven interactions between automated agents and protocol margin engines to ensure solvency against the non-linear risk of crypto options. ⎊ Term", "datePublished": "2026-01-05T13:22:40+00:00", "dateModified": "2026-01-05T13:22:54+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/precision-digital-asset-contract-architecture-modeling-volatility-and-strike-price-mechanics.jpg", "width": 3850, "height": 2166, "caption": "The image displays two stylized, cylindrical objects with intricate mechanical paneling and vibrant green glowing accents against a deep blue background. The objects are positioned at an angle, highlighting their futuristic design and contrasting colors." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/margin-call-liquidation/", "url": "https://term.greeks.live/term/margin-call-liquidation/", "headline": "Margin Call Liquidation", "description": "Meaning ⎊ Margin Call Liquidation is the automated, non-discretionary forced closure of an undercollateralized leveraged position to protect protocol solvency and prevent systemic bad debt accumulation. ⎊ Term", "datePublished": "2026-01-05T10:17:06+00:00", "dateModified": "2026-01-05T10:17:45+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/advanced-algorithmic-trading-visualization-of-delta-neutral-straddle-strategies-and-implied-volatility.jpg", "width": 3850, "height": 2166, "caption": "A high-tech, symmetrical object with two ends connected by a central shaft is displayed against a dark blue background. The object features multiple layers of dark blue, light blue, and beige materials, with glowing green rings on each end." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/behavioral-game-theory-liquidation/", "url": "https://term.greeks.live/term/behavioral-game-theory-liquidation/", "headline": "Behavioral Game Theory Liquidation", "description": "Meaning ⎊ The Strategic Liquidation Reflex is the game-theoretic mechanism where the collective rational self-interest of leveraged participants triggers an algorithmically-enforced, self-accelerating price collapse. ⎊ Term", "datePublished": "2026-01-04T12:25:02+00:00", "dateModified": "2026-01-04T12:25:02+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/advanced-smart-contract-architecture-visualizing-collateralized-debt-position-dynamics-and-liquidation-risk-parameters.jpg", "width": 3850, "height": 2166, "caption": "A digitally rendered mechanical object features a green U-shaped component at its core, encased within multiple layers of white and blue elements. The entire structure is housed in a streamlined dark blue casing." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/zero-knowledge-liquidation-proofs/", "url": "https://term.greeks.live/term/zero-knowledge-liquidation-proofs/", "headline": "Zero-Knowledge Liquidation Proofs", "description": "Meaning ⎊ ZK-LPs cryptographically verify a solvency breach without exposing sensitive account data, transforming derivatives market microstructure to mitigate front-running and MEV. ⎊ Term", "datePublished": "2026-01-03T11:49:42+00:00", "dateModified": "2026-01-03T11:49:42+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-liquidation-engine-mechanism-for-decentralized-options-protocol-collateral-management-framework.jpg", "width": 3850, "height": 2166, "caption": "A high-resolution 3D render displays an intricate, futuristic mechanical component, primarily in deep blue, cyan, and neon green, against a dark background. The central element features a silver rod and glowing green internal workings housed within a layered, angular structure." } } ], "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/algorithmic-trading-strategies-and-derivatives-risk-management-in-decentralized-finance-protocol-architecture.jpg" } } ``` --- **Original URL:** https://term.greeks.live/area/hard-coded-liquidation-ratios/