# Discrete-Time Settlement ⎊ Area ⎊ Greeks.live --- ## What is the Settlement of Discrete-Time Settlement? Discrete-time settlement, particularly relevant in cryptocurrency derivatives and options trading, represents a departure from continuous settlement models. It involves finalizing positions and transferring assets at predetermined, discrete points in time, rather than continuously throughout the lifecycle of a contract. This approach introduces a periodic valuation and payment schedule, impacting risk management and capital requirements, especially within decentralized finance (DeFi) protocols. The choice of settlement frequency—daily, weekly, or bi-weekly—directly influences counterparty credit risk and operational complexity. ## What is the Context of Discrete-Time Settlement? The application of discrete-time settlement is gaining traction in the crypto space due to the inherent challenges of real-time, continuous settlement on blockchain networks. Traditional options and derivatives markets often rely on continuous mark-to-market, which can be difficult to replicate efficiently and securely on decentralized ledgers. Consequently, discrete-time settlement provides a practical framework for managing exposures and facilitating periodic payments, aligning with the operational constraints of many blockchain infrastructures. This methodology is also increasingly explored for synthetic assets and tokenized derivatives. ## What is the Algorithm of Discrete-Time Settlement? Designing an effective discrete-time settlement algorithm necessitates careful consideration of several factors, including the frequency of valuation, the methodology for calculating settlement amounts, and the mechanisms for handling potential discrepancies. The algorithm must incorporate robust error detection and reconciliation procedures to ensure the accuracy and integrity of the settlement process. Furthermore, it should be designed to minimize latency and maximize throughput, particularly in high-volume trading environments, while maintaining compliance with relevant regulatory requirements and accounting standards. The selection of appropriate pricing models and risk parameters is also crucial for accurate valuation and settlement. --- ## [Discrete Time Models](https://term.greeks.live/term/discrete-time-models/) Meaning ⎊ Discrete Time Models provide a structured, iterative framework for calculating derivative values by mapping price states across fixed time intervals. ⎊ Term ## [Discrete Block Time Settlement](https://term.greeks.live/term/discrete-block-time-settlement/) Meaning ⎊ Discrete Block Time Settlement aligns financial finality with cryptographic state transitions to eliminate temporal arbitrage and synchronize systemic risk. ⎊ Term ## [Real-Time Settlement Verification](https://term.greeks.live/term/real-time-settlement-verification/) Meaning ⎊ Real-Time Settlement Verification eliminates counterparty risk by mandating the simultaneous validation of collateral and ownership transfer. ⎊ Term ## [Zero-Knowledge Contingent Settlement](https://term.greeks.live/term/zero-knowledge-contingent-settlement/) Meaning ⎊ Zero-Knowledge Contingent Settlement is a cryptographic primitive enabling verifiable, private settlement of derivatives by proving the payoff function's execution without revealing the contract's confidential parameters. ⎊ Term ## [Settlement Latency](https://term.greeks.live/definition/settlement-latency/) The time delay between initiating a trade and its final confirmation on the blockchain. ⎊ Term ## [Blockchain Settlement Integrity](https://term.greeks.live/term/blockchain-settlement-integrity/) Meaning ⎊ Blockchain Settlement Integrity provides deterministic finality by unifying execution and settlement into atomic, immutable on-chain state transitions. ⎊ Term ## [Greek Exposure Calculation](https://term.greeks.live/term/greek-exposure-calculation/) Meaning ⎊ Greek Exposure Calculation quantifies a crypto options portfolio's sensitivity to market variables, serving as the real-time, computational primitive for decentralized risk management. ⎊ Term ## [Cross Chain Settlement Latency](https://term.greeks.live/term/cross-chain-settlement-latency/) Meaning ⎊ Cross Chain Settlement Latency is a protocol physics constraint that introduces a quantifiable Latency Premium, corrupting margin integrity and demanding systemic risk mitigation. ⎊ Term ## [Financial Settlement Efficiency](https://term.greeks.live/term/financial-settlement-efficiency/) Meaning ⎊ Atomic Options Settlement Layer ensures immediate, cryptographically-guaranteed finality for options, drastically compressing counterparty risk and enhancing capital efficiency. ⎊ Term ## [Blockchain Settlement Constraints](https://term.greeks.live/term/blockchain-settlement-constraints/) Meaning ⎊ Blockchain Settlement Constraints are the non-negotiable latency and cost friction defining the risk window between trade execution and final, irreversible ledger state. ⎊ Term ## [Layer 2 Settlement Costs](https://term.greeks.live/term/layer-2-settlement-costs/) Meaning ⎊ Layer 2 Settlement Costs are the non-negotiable, dual-component friction—explicit data fees and implicit latency-risk premium—paid to secure decentralized options finality on Layer 1. ⎊ Term ## [Real-Time Gross Settlement](https://term.greeks.live/term/real-time-gross-settlement/) Meaning ⎊ Real-Time Gross Settlement eliminates counterparty credit risk by ensuring the instantaneous and irrevocable transfer of value for every transaction. ⎊ Term ## [Decentralized Settlement Efficiency](https://term.greeks.live/term/decentralized-settlement-efficiency/) Meaning ⎊ Decentralized Settlement Efficiency optimizes trustless markets by collapsing the temporal gap between trade execution and asset finality. ⎊ Term ## [Zero Knowledge Settlement](https://term.greeks.live/term/zero-knowledge-settlement/) Meaning ⎊ Zero Knowledge Settlement uses cryptographic proofs to verify options account solvency and margin sufficiency without revealing proprietary position details. ⎊ Term ## [Intent-Based Settlement Systems](https://term.greeks.live/term/intent-based-settlement-systems/) Meaning ⎊ Intent-Based Settlement Systems replace imperative transaction scripts with declarative outcomes, shifting execution complexity to competitive solver networks. ⎊ Term ## [Modular Blockchain Settlement](https://term.greeks.live/term/modular-blockchain-settlement/) Meaning ⎊ Modular Blockchain Settlement provides the auditable, high-integrity root of trust required to achieve capital-efficient, low-latency finality for decentralized options and derivatives. ⎊ Term ## [Settlement Proofs](https://term.greeks.live/term/settlement-proofs/) Meaning ⎊ ZK-Settlement Proofs use zero-knowledge cryptography to verify the correct outcome of complex options payoffs without revealing private trade parameters, ensuring trustless, scalable on-chain finality. ⎊ Term ## [Settlement Cost Component](https://term.greeks.live/term/settlement-cost-component/) Meaning ⎊ The Settlement Cost Component represents the total economic friction, including network fees and slippage, required to finalize a derivative contract. ⎊ Term ## [Gas Optimized Settlement](https://term.greeks.live/term/gas-optimized-settlement/) Meaning ⎊ Merkle Proof Settlement is a cryptographic mechanism that batches thousands of options operations into a single, low-cost transaction, drastically reducing gas fees and enabling scalable decentralized derivatives. ⎊ Term ## [Settlement Proof Cost](https://term.greeks.live/term/settlement-proof-cost/) Meaning ⎊ Settlement Proof Cost defines the economic and computational expenditure required to achieve deterministic finality in decentralized derivative markets. ⎊ Term ## [Black-Scholes Verification Complexity](https://term.greeks.live/term/black-scholes-verification-complexity/) Meaning ⎊ The Discontinuous Volatility Verification Paradox is the systemic challenge of proving the integrity of complex, jump-diffusion options pricing models within the gas-constrained, adversarial environment of a decentralized ledger. ⎊ Term ## [Off Chain Matching on Chain Settlement](https://term.greeks.live/term/off-chain-matching-on-chain-settlement/) Meaning ⎊ OCM-OCS provides high-speed execution by matching orders off-chain, securing the final transfer of assets and collateral updates on-chain via smart contracts. ⎊ Term ## [Blockchain Settlement](https://term.greeks.live/term/blockchain-settlement/) Meaning ⎊ Blockchain Settlement replaces intermediary trust with cryptographic finality, enabling atomic, real-time resolution of derivative obligations. ⎊ Term ## [Real-Time Risk Settlement](https://term.greeks.live/term/real-time-risk-settlement/) Meaning ⎊ Continuous Risk Settlement is the block-by-block enforcement of portfolio-level margin requirements, mitigating systemic risk through automated, decentralized liquidation mechanisms. ⎊ Term ## [Time Decay Verification Cost](https://term.greeks.live/term/time-decay-verification-cost/) Meaning ⎊ Time Decay Verification Cost is the total systemic friction required for a decentralized protocol to securely and trustlessly validate the continuous erosion of an option's extrinsic value. ⎊ Term ## [Off-Chain Settlement Systems](https://term.greeks.live/term/off-chain-settlement-systems/) Meaning ⎊ Off-Chain Options Settlement Layers utilize validity proofs and Layer 2 architecture to enable high-throughput, capital-efficient derivatives trading by moving execution and complex margining off the base layer. ⎊ Term ## [Numerical Methods](https://term.greeks.live/definition/numerical-methods/) Computational techniques used to approximate solutions for complex mathematical models that lack simple formulas. ⎊ Term ## [Discrete Rebalancing](https://term.greeks.live/term/discrete-rebalancing/) Meaning ⎊ Discrete rebalancing optimizes options portfolio risk management by adjusting hedges at specific intervals to mitigate transaction costs in high-friction decentralized markets. ⎊ Term --- ## 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The design features multiple rings in dark blue, green, beige, and bright blue, culminating in an intricate, web-like green structure in the foreground." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/intent-based-settlement-systems/", "url": "https://term.greeks.live/term/intent-based-settlement-systems/", "headline": "Intent-Based Settlement Systems", "description": "Meaning ⎊ Intent-Based Settlement Systems replace imperative transaction scripts with declarative outcomes, shifting execution complexity to competitive solver networks. ⎊ Term", "datePublished": "2026-02-02T13:02:02+00:00", "dateModified": "2026-02-02T13:09:20+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/cross-chain-liquidity-provisioning-protocol-mechanism-visualization-integrating-smart-contracts-and-oracles.jpg", "width": 3850, "height": 2166, "caption": "A cutaway visualization shows the internal components of a high-tech mechanism. Two segments of a dark grey cylindrical structure reveal layered green, blue, and beige parts, with a central green component featuring a spiraling pattern and large teeth that interlock with the opposing segment." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/modular-blockchain-settlement/", "url": "https://term.greeks.live/term/modular-blockchain-settlement/", "headline": "Modular Blockchain Settlement", "description": "Meaning ⎊ Modular Blockchain Settlement provides the auditable, high-integrity root of trust required to achieve capital-efficient, low-latency finality for decentralized options and derivatives. ⎊ Term", "datePublished": "2026-02-02T11:24:54+00:00", "dateModified": "2026-02-02T11:26:32+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/modular-architecture-of-a-decentralized-options-pricing-oracle-for-accurate-volatility-indexing.jpg", "width": 3850, "height": 2166, "caption": "A high-tech object is shown in a cross-sectional view, revealing its internal mechanism. The outer shell is a dark blue polygon, protecting an inner core composed of a teal cylindrical component, a bright green cog, and a metallic shaft." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/settlement-proofs/", "url": "https://term.greeks.live/term/settlement-proofs/", "headline": "Settlement Proofs", "description": "Meaning ⎊ ZK-Settlement Proofs use zero-knowledge cryptography to verify the correct outcome of complex options payoffs without revealing private trade parameters, ensuring trustless, scalable on-chain finality. ⎊ Term", "datePublished": "2026-02-01T13:54:56+00:00", "dateModified": "2026-02-01T13:57:11+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-exchange-automated-market-maker-connecting-cross-chain-liquidity-pools-for-derivative-settlement.jpg", "width": 3850, "height": 2166, "caption": "A high-tech abstract visualization shows two dark, cylindrical pathways intersecting at a complex central mechanism. The interior of the pathways and the mechanism's core glow with a vibrant green light, highlighting the connection point." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/settlement-cost-component/", "url": "https://term.greeks.live/term/settlement-cost-component/", "headline": "Settlement Cost Component", "description": "Meaning ⎊ The Settlement Cost Component represents the total economic friction, including network fees and slippage, required to finalize a derivative contract. ⎊ Term", "datePublished": "2026-01-31T12:12:13+00:00", "dateModified": "2026-01-31T12:13:43+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/layered-collateralization-architecture-in-decentralized-derivatives-protocols-for-risk-adjusted-tokenization.jpg", "width": 3850, "height": 2166, "caption": "A close-up view shows a sophisticated mechanical joint connecting a bright green cylindrical component to a darker gray cylindrical component. The joint assembly features layered parts, including a white nut, a blue ring, and a white washer, set within a larger dark blue frame." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/gas-optimized-settlement/", "url": "https://term.greeks.live/term/gas-optimized-settlement/", "headline": "Gas Optimized Settlement", "description": "Meaning ⎊ Merkle Proof Settlement is a cryptographic mechanism that batches thousands of options operations into a single, low-cost transaction, drastically reducing gas fees and enabling scalable decentralized derivatives. ⎊ Term", "datePublished": "2026-01-31T10:31:49+00:00", "dateModified": "2026-01-31T10:33:10+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/smart-contract-propulsion-system-optimizing-on-chain-liquidity-and-synthetics-volatility-arbitrage-engine.jpg", "width": 3850, "height": 2166, "caption": "A high-resolution render displays a sophisticated blue and white mechanical object, likely a ducted propeller, set against a dark background. The central five-bladed fan is illuminated by a vibrant green ring light within its housing." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/settlement-proof-cost/", "url": "https://term.greeks.live/term/settlement-proof-cost/", "headline": "Settlement Proof Cost", "description": "Meaning ⎊ Settlement Proof Cost defines the economic and computational expenditure required to achieve deterministic finality in decentralized derivative markets. ⎊ Term", "datePublished": "2026-01-30T01:04:09+00:00", "dateModified": "2026-01-30T01:07:52+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/interoperable-architecture-of-proof-of-stake-validation-and-collateralized-derivative-tranching.jpg", "width": 3850, "height": 2166, "caption": "A cutaway view reveals the inner workings of a multi-layered cylindrical object with glowing green accents on concentric rings. The abstract design suggests a schematic for a complex technical system or a financial instrument's internal structure." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/black-scholes-verification-complexity/", "url": "https://term.greeks.live/term/black-scholes-verification-complexity/", "headline": "Black-Scholes Verification Complexity", "description": "Meaning ⎊ The Discontinuous Volatility Verification Paradox is the systemic challenge of proving the integrity of complex, jump-diffusion options pricing models within the gas-constrained, adversarial environment of a decentralized ledger. ⎊ Term", "datePublished": "2026-01-19T04:39:57+00:00", "dateModified": "2026-01-19T06:31:42+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-execution-of-derivative-instruments-high-frequency-trading-strategies-and-optimized-liquidity-provision.jpg", "width": 3850, "height": 2166, "caption": "A white control interface with a glowing green light rests on a dark blue and black textured surface, resembling a high-tech mouse. The flowing lines represent the continuous liquidity flow and price action in high-frequency trading environments." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/off-chain-matching-on-chain-settlement/", "url": "https://term.greeks.live/term/off-chain-matching-on-chain-settlement/", "headline": "Off Chain Matching on Chain Settlement", "description": "Meaning ⎊ OCM-OCS provides high-speed execution by matching orders off-chain, securing the final transfer of assets and collateral updates on-chain via smart contracts. ⎊ Term", "datePublished": "2026-01-14T08:47:56+00:00", "dateModified": "2026-01-14T08:50:58+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-asset-collateralization-smart-contract-lockup-mechanism-for-cross-chain-interoperability.jpg", "width": 3850, "height": 2166, "caption": "A high-angle, close-up view shows a sophisticated mechanical coupling mechanism on a dark blue cylindrical rod. The structure consists of a central dark blue housing, a prominent bright green ring, and off-white interlocking clasps on either side." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/blockchain-settlement/", "url": "https://term.greeks.live/term/blockchain-settlement/", "headline": "Blockchain Settlement", "description": "Meaning ⎊ Blockchain Settlement replaces intermediary trust with cryptographic finality, enabling atomic, real-time resolution of derivative obligations. ⎊ Term", "datePublished": "2026-01-10T12:12:16+00:00", "dateModified": "2026-01-10T12:14:12+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/scalable-blockchain-architecture-flow-optimization-through-layered-protocols-and-automated-liquidity-provision.jpg", "width": 3850, "height": 2166, "caption": "The image showcases layered, interconnected abstract structures in shades of dark blue, cream, and vibrant green. These structures create a sense of dynamic movement and flow against a dark background, highlighting complex internal workings." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/real-time-risk-settlement/", "url": "https://term.greeks.live/term/real-time-risk-settlement/", "headline": "Real-Time Risk Settlement", "description": "Meaning ⎊ Continuous Risk Settlement is the block-by-block enforcement of portfolio-level margin requirements, mitigating systemic risk through automated, decentralized liquidation mechanisms. ⎊ Term", "datePublished": "2026-01-10T12:06:53+00:00", "dateModified": "2026-01-10T12:08:30+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-protocol-activation-indicator-real-time-collateralization-oracle-data-feed-synchronization.jpg", "width": 3850, "height": 2166, "caption": "A high-resolution, close-up image captures a sleek, futuristic device featuring a white tip and a dark blue cylindrical body. A complex, segmented ring structure with light blue accents connects the tip to the body, alongside a glowing green circular band and LED indicator light." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/time-decay-verification-cost/", "url": "https://term.greeks.live/term/time-decay-verification-cost/", "headline": "Time Decay Verification Cost", "description": "Meaning ⎊ Time Decay Verification Cost is the total systemic friction required for a decentralized protocol to securely and trustlessly validate the continuous erosion of an option's extrinsic value. ⎊ Term", "datePublished": "2026-01-07T18:16:35+00:00", "dateModified": "2026-01-07T18:17:31+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-module-trigger-for-options-market-data-feed-and-decentralized-protocol-verification.jpg", "width": 3850, "height": 2166, "caption": "The image displays a high-tech, futuristic object, rendered in deep blue and light beige tones against a dark background. A prominent bright green glowing triangle illuminates the front-facing section, suggesting activation or data processing." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/off-chain-settlement-systems/", "url": "https://term.greeks.live/term/off-chain-settlement-systems/", "headline": "Off-Chain Settlement Systems", "description": "Meaning ⎊ Off-Chain Options Settlement Layers utilize validity proofs and Layer 2 architecture to enable high-throughput, capital-efficient derivatives trading by moving execution and complex margining off the base layer. ⎊ Term", "datePublished": "2026-01-05T10:47:20+00:00", "dateModified": "2026-01-05T10:47:56+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/automated-market-maker-algorithm-pathways-and-cross-chain-asset-flow-dynamics-in-decentralized-finance-derivatives.jpg", "width": 3850, "height": 2166, "caption": "A 3D abstract rendering displays several parallel, ribbon-like pathways colored beige, blue, gray, and green, moving through a series of dark, winding channels. The structures bend and flow dynamically, creating a sense of interconnected movement through a complex system." } }, { "@type": "Article", "@id": "https://term.greeks.live/definition/numerical-methods/", "url": "https://term.greeks.live/definition/numerical-methods/", "headline": "Numerical Methods", "description": "Computational techniques used to approximate solutions for complex mathematical models that lack simple formulas. ⎊ Term", "datePublished": "2025-12-23T10:03:33+00:00", "dateModified": "2026-03-14T06:47:57+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/deconstructing-complex-financial-derivatives-showing-risk-tranches-and-collateralized-debt-positions-in-defi-protocols.jpg", "width": 3850, "height": 2166, "caption": "An abstract digital rendering shows a dark blue sphere with a section peeled away, exposing intricate internal layers. The revealed core consists of concentric rings in varying colors including cream, dark blue, chartreuse, and bright green, centered around a striped mechanical-looking structure." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/discrete-rebalancing/", "url": "https://term.greeks.live/term/discrete-rebalancing/", "headline": "Discrete Rebalancing", "description": "Meaning ⎊ Discrete rebalancing optimizes options portfolio risk management by adjusting hedges at specific intervals to mitigate transaction costs in high-friction decentralized markets. ⎊ Term", "datePublished": "2025-12-21T09:35:44+00:00", "dateModified": "2026-01-04T18:55:30+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/collateralized-debt-position-rebalancing-and-health-factor-visualization-mechanism-for-options-pricing-and-yield-farming.jpg", "width": 3850, "height": 2166, "caption": "A dark blue mechanical lever mechanism precisely adjusts two bone-like structures that form a pivot joint. A circular green arc indicator on the lever end visualizes a specific percentage level or health factor." } } ], "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/decentralized-finance-smart-contract-execution-illustrating-dynamic-options-pricing-volatility-management.jpg" } } ``` --- **Original URL:** https://term.greeks.live/area/discrete-time-settlement/