# Rollup State Transitions ⎊ Area ⎊ Greeks.live --- ## What is the Architecture of Rollup State Transitions? Rollup state transitions fundamentally alter the execution environment for smart contracts, shifting computation off-chain while maintaining on-chain data availability and security. This architectural shift leverages cryptographic proofs, specifically zero-knowledge succinct non-interactive arguments of knowledge (zk-SNARKs) or optimistic execution, to validate the integrity of off-chain computations. Consequently, the core blockchain’s consensus mechanism only verifies these proofs, reducing its computational burden and enhancing scalability. The design necessitates a robust fraud-proof system in optimistic rollups, ensuring accurate state updates are reflected on the main chain, while zk-rollups provide cryptographic certainty. ## What is the Calculation of Rollup State Transitions? The process of a rollup state transition involves calculating the new state based on a batch of transactions executed off-chain, followed by generating a state root representing this updated state. This calculation is deterministic, meaning the same inputs always produce the same output, a critical property for maintaining consistency across the network. Verification of this state transition relies on either the validity proof generated by a zk-rollup or the challenge period in an optimistic rollup, where participants can dispute incorrect state updates. Accurate calculation and efficient proof generation are paramount for minimizing latency and maximizing throughput. ## What is the Consequence of Rollup State Transitions? Rollup state transitions have significant consequences for the broader cryptocurrency ecosystem, particularly in the context of decentralized finance (DeFi) and derivatives trading. Reduced transaction costs and increased throughput enable more complex financial instruments and trading strategies to be deployed on-chain, fostering greater accessibility and innovation. However, the reliance on off-chain computation introduces new security considerations, such as the potential for sequencer centralization or vulnerabilities in the proving system. Understanding these consequences is crucial for assessing the risk-reward profile of applications built on rollup technology. --- ## [State Transition Logic](https://term.greeks.live/definition/state-transition-logic/) The deterministic rules defining how a protocol updates its internal state based on user inputs and market events. ⎊ Definition ## [Rollup Sequencing](https://term.greeks.live/definition/rollup-sequencing/) The systematic ordering of transactions within a rollup, critical for ensuring market fairness and preventing manipulation. ⎊ Definition ## [Layer 2 Rollup Finality](https://term.greeks.live/definition/layer-2-rollup-finality/) The time required for a transaction on a secondary chain to become permanently secured on the main blockchain. ⎊ Definition ## [Blockchain State Transitions](https://term.greeks.live/term/blockchain-state-transitions/) Meaning ⎊ Blockchain state transitions provide the deterministic, verifiable foundation for settling complex crypto derivative contracts in decentralized markets. ⎊ Definition ## [Rollup Technologies](https://term.greeks.live/term/rollup-technologies/) Meaning ⎊ Rollup Technologies enhance blockchain scalability by offloading transaction execution while ensuring secure settlement on a primary network. ⎊ Definition ## [Sovereign Rollup Efficiency](https://term.greeks.live/term/sovereign-rollup-efficiency/) Meaning ⎊ Sovereign Rollup Efficiency optimizes state transition throughput and verification latency to enable high-performance, decentralized financial markets. ⎊ Definition ## [Zero-Knowledge Rollup Cost](https://term.greeks.live/term/zero-knowledge-rollup-cost/) Meaning ⎊ Zero-Knowledge Rollup Cost determines the economic efficiency and scalability of decentralized financial systems through cryptographic verification. ⎊ Definition ## [Zero Knowledge Rollup Settlement](https://term.greeks.live/term/zero-knowledge-rollup-settlement/) Meaning ⎊ Zero Knowledge Rollup Settlement provides a mathematically verifiable mechanism to achieve secure, scalable finality for decentralized financial markets. ⎊ Definition ## [Zero Knowledge Rollup Scaling](https://term.greeks.live/term/zero-knowledge-rollup-scaling/) Meaning ⎊ Zero Knowledge Rollup Scaling optimizes decentralized markets by utilizing cryptographic validity proofs to achieve high-throughput, trustless settlement. ⎊ Definition ## [Atomic Cross-Rollup Settlement](https://term.greeks.live/term/atomic-cross-rollup-settlement/) Meaning ⎊ Atomic Cross-Rollup Settlement enables trustless, instantaneous value transfer across independent blockchains to unify fragmented derivative markets. ⎊ Definition ## [Rollup Settlement Time](https://term.greeks.live/term/rollup-settlement-time/) Meaning ⎊ Rollup Settlement Time dictates the latency between off-chain derivative execution and on-chain finality, shaping capital risk and market efficiency. ⎊ Definition ## [Zero-Knowledge State Transitions](https://term.greeks.live/term/zero-knowledge-state-transitions/) Meaning ⎊ Zero-Knowledge State Transitions enable secure, private, and verifiable financial settlements within decentralized derivative markets. ⎊ Definition ## [Adversarial State Transitions](https://term.greeks.live/term/adversarial-state-transitions/) Meaning ⎊ Adversarial State Transitions enable decentralized derivative protocols to maintain solvency by programmatically re-calibrating risk during market stress. ⎊ Definition ## [Rollup Integrity](https://term.greeks.live/term/rollup-integrity/) Meaning ⎊ Rollup Integrity ensures off-chain trade validity through cryptographic proofs, enabling secure and scalable decentralized derivative markets. ⎊ Definition ## [Rollup Security Model](https://term.greeks.live/term/rollup-security-model/) Meaning ⎊ The Rollup Security Model provides the cryptographic and economic framework for secure, scalable off-chain execution and decentralized settlement. ⎊ Definition ## [Rollup Integrity Verification](https://term.greeks.live/term/rollup-integrity-verification/) Meaning ⎊ Rollup Integrity Verification guarantees the cryptographic accuracy of off-chain state transitions, ensuring secure settlement in decentralized markets. ⎊ Definition ## [Order Book State Transitions](https://term.greeks.live/term/order-book-state-transitions/) Meaning ⎊ Order book state transitions define the precise mechanism of price discovery and liquidity allocation within decentralized derivative markets. ⎊ Definition ## [Layer 2 Rollup Settlement](https://term.greeks.live/term/layer-2-rollup-settlement/) Meaning ⎊ Layer 2 Rollup Settlement provides a cryptographic link between high-performance execution environments and the immutable security of base layers. ⎊ Definition ## [ZK-Rollup Economic Models](https://term.greeks.live/term/zk-rollup-economic-models/) Meaning ⎊ ZK-Rollup economic models define the financial equilibrium between cryptographic proof generation costs and the monetization of verifiable L1 settlement. ⎊ Definition ## [Rollup Proofs](https://term.greeks.live/term/rollup-proofs/) Meaning ⎊ Rollup Proofs provide the cryptographic foundation for trustless off-chain execution, enabling scalable and secure settlement for complex derivatives. ⎊ Definition ## [Hybrid Rollup](https://term.greeks.live/term/hybrid-rollup/) Meaning ⎊ Hybrid Rollup architectures synthesize optimistic execution with zero-knowledge verification to provide low-latency settlement and capital efficiency. ⎊ Definition ## [Optimistic Rollup Proof](https://term.greeks.live/term/optimistic-rollup-proof/) Meaning ⎊ The Optimistic Rollup Fault Proof governs Layer 2 finality by enabling on-chain fraud resolution, directly impacting derivatives settlement risk and capital efficiency. ⎊ Definition ## [Optimistic Rollup Fraud Proofs](https://term.greeks.live/term/optimistic-rollup-fraud-proofs/) Meaning ⎊ Optimistic Rollup Fraud Proofs secure Layer 2 networks by enabling trustless, game-theoretic arbitration of off-chain state transitions on Layer 1. ⎊ Definition ## [ZK Rollup Validity Proofs](https://term.greeks.live/term/zk-rollup-validity-proofs/) Meaning ⎊ ZK Validity Proofs enable capital-efficient, low-latency, and privacy-preserving settlement of decentralized options by cryptographically verifying off-chain state transitions. ⎊ Definition ## [Rollup State Verification](https://term.greeks.live/term/rollup-state-verification/) Meaning ⎊ Rollup State Verification anchors off-chain execution to Layer 1 security through cryptographic proofs ensuring the integrity of state transitions. ⎊ Definition ## [ZK-Rollup Verification Cost](https://term.greeks.live/term/zk-rollup-verification-cost/) Meaning ⎊ The ZK-Rollup Verification Cost is the L1 gas expenditure to validate a zero-knowledge proof, functioning as the non-negotiable floor for L2 derivative settlement efficiency. ⎊ Definition ## [Rollup Data Availability Cost](https://term.greeks.live/term/rollup-data-availability-cost/) Meaning ⎊ The Rollup Data Availability Cost is the L2's largest variable operational expense, serving as the L1 security premium that dictates L2 profitability and L2 token fundamental value. ⎊ Definition ## [Zero Knowledge Rollup Prover Cost](https://term.greeks.live/term/zero-knowledge-rollup-prover-cost/) Meaning ⎊ The Zero Knowledge Rollup Prover Cost defines the computational and economic threshold for generating validity proofs to ensure trustless scalability. ⎊ Definition ## [Zero-Knowledge Rollup Verification](https://term.greeks.live/term/zero-knowledge-rollup-verification/) Meaning ⎊ Zero-Knowledge Rollup Verification uses mathematical validity proofs to ensure off-chain transaction integrity and provide deterministic finality. ⎊ Definition ## [Zero-Knowledge Rollup Economics](https://term.greeks.live/term/zero-knowledge-rollup-economics/) Meaning ⎊ Zero-Knowledge Rollup Economics optimizes blockchain scalability by replacing expensive on-chain execution with cost-efficient validity proofs. ⎊ Definition --- ## 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": "Rollup State Transitions", "item": "https://term.greeks.live/area/rollup-state-transitions/" } ] } ``` ```json { "@context": "https://schema.org", "@type": "FAQPage", "mainEntity": [ { "@type": "Question", "name": "What is the Architecture of Rollup State Transitions?", "acceptedAnswer": { "@type": "Answer", "text": "Rollup state transitions fundamentally alter the execution environment for smart contracts, shifting computation off-chain while maintaining on-chain data availability and security. 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The structure appears to be a digital or physical prototype, highlighting intricate, interwoven facets that create a dynamic, star-like shape against a dark, featureless background." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/rollup-integrity-verification/", "url": "https://term.greeks.live/term/rollup-integrity-verification/", "headline": "Rollup Integrity Verification", "description": "Meaning ⎊ Rollup Integrity Verification guarantees the cryptographic accuracy of off-chain state transitions, ensuring secure settlement in decentralized markets. ⎊ Definition", "datePublished": "2026-03-10T23:45:18+00:00", "dateModified": "2026-03-10T23:46:36+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-collateralization-and-cryptographic-security-protocols-in-smart-contract-options-derivatives-trading.jpg", "width": 3850, "height": 2166, "caption": "A high-tech stylized padlock, featuring a deep blue body and metallic shackle, symbolizes digital asset security and collateralization processes. A glowing green ring around the primary keyhole indicates an active state, representing a verified and secure protocol for asset access." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/order-book-state-transitions/", "url": "https://term.greeks.live/term/order-book-state-transitions/", "headline": "Order Book State Transitions", "description": "Meaning ⎊ Order book state transitions define the precise mechanism of price discovery and liquidity allocation within decentralized derivative markets. ⎊ Definition", "datePublished": "2026-03-10T12:19:56+00:00", "dateModified": "2026-03-10T12:20:27+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/multi-layered-risk-propagation-analysis-in-decentralized-finance-protocols-and-options-hedging-strategies.jpg", "width": 3850, "height": 2166, "caption": "An abstract composition features smooth, flowing layered structures moving dynamically upwards. The color palette transitions from deep blues in the background layers to light cream and vibrant green at the forefront." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/layer-2-rollup-settlement/", "url": "https://term.greeks.live/term/layer-2-rollup-settlement/", "headline": "Layer 2 Rollup Settlement", "description": "Meaning ⎊ Layer 2 Rollup Settlement provides a cryptographic link between high-performance execution environments and the immutable security of base layers. ⎊ Definition", "datePublished": "2026-03-04T11:00:26+00:00", "dateModified": "2026-03-04T11:00:33+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-layered-blockchain-architecture-visualization-for-layer-2-scaling-solutions-and-defi-collateralization-models.jpg", "width": 3850, "height": 2166, "caption": "A sequence of nested, multi-faceted geometric shapes is depicted in a digital rendering. The shapes decrease in size from a broad blue and beige outer structure to a bright green inner layer, culminating in a central dark blue sphere, set against a dark blue background." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/zk-rollup-economic-models/", "url": "https://term.greeks.live/term/zk-rollup-economic-models/", "headline": "ZK-Rollup Economic Models", "description": "Meaning ⎊ ZK-Rollup economic models define the financial equilibrium between cryptographic proof generation costs and the monetization of verifiable L1 settlement. ⎊ Definition", "datePublished": "2026-02-26T09:00:41+00:00", "dateModified": "2026-02-26T09:46:19+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/complex-layered-blockchain-architecture-visualization-for-layer-2-scaling-solutions-and-defi-collateralization-models.jpg", "width": 3850, "height": 2166, "caption": "A sequence of nested, multi-faceted geometric shapes is depicted in a digital rendering. The shapes decrease in size from a broad blue and beige outer structure to a bright green inner layer, culminating in a central dark blue sphere, set against a dark blue background." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/rollup-proofs/", "url": "https://term.greeks.live/term/rollup-proofs/", "headline": "Rollup Proofs", "description": "Meaning ⎊ Rollup Proofs provide the cryptographic foundation for trustless off-chain execution, enabling scalable and secure settlement for complex derivatives. ⎊ Definition", "datePublished": "2026-02-12T00:04:04+00:00", "dateModified": "2026-02-12T00:05:22+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-architecture-of-decentralized-protocols-optimistic-rollup-mechanisms-and-staking-interplay.jpg", "width": 3850, "height": 2166, "caption": "The image displays a close-up of dark blue, light blue, and green cylindrical components arranged around a central axis. This abstract mechanical structure features concentric rings and flanged ends, suggesting a detailed engineering design." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/hybrid-rollup/", "url": "https://term.greeks.live/term/hybrid-rollup/", "headline": "Hybrid Rollup", "description": "Meaning ⎊ Hybrid Rollup architectures synthesize optimistic execution with zero-knowledge verification to provide low-latency settlement and capital efficiency. ⎊ Definition", "datePublished": "2026-02-11T21:40:02+00:00", "dateModified": "2026-02-11T21:40:42+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/complex-interplay-of-algorithmic-trading-strategies-and-cross-chain-liquidity-provision-in-decentralized-finance.jpg", "width": 3850, "height": 2166, "caption": "An intricate abstract illustration depicts a dark blue structure, possibly a wheel or ring, featuring various apertures. A bright green, continuous, fluid form passes through the central opening of the blue structure, creating a complex, intertwined composition against a deep blue background." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/optimistic-rollup-proof/", "url": "https://term.greeks.live/term/optimistic-rollup-proof/", "headline": "Optimistic Rollup Proof", "description": "Meaning ⎊ The Optimistic Rollup Fault Proof governs Layer 2 finality by enabling on-chain fraud resolution, directly impacting derivatives settlement risk and capital efficiency. ⎊ Definition", "datePublished": "2026-02-09T13:31:52+00:00", "dateModified": "2026-02-09T18:17:15+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-layered-blockchain-architecture-visualization-for-layer-2-scaling-solutions-and-defi-collateralization-models.jpg", "width": 3850, "height": 2166, "caption": "A sequence of nested, multi-faceted geometric shapes is depicted in a digital rendering. 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The composition highlights the interaction between the colorful internal components and the protective outer structure." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/zk-rollup-validity-proofs/", "url": "https://term.greeks.live/term/zk-rollup-validity-proofs/", "headline": "ZK Rollup Validity Proofs", "description": "Meaning ⎊ ZK Validity Proofs enable capital-efficient, low-latency, and privacy-preserving settlement of decentralized options by cryptographically verifying off-chain state transitions. ⎊ Definition", "datePublished": "2026-02-06T10:48:57+00:00", "dateModified": "2026-02-06T10:51:24+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-visualization-of-decentralized-finance-liquidity-flow-and-risk-mitigation-in-complex-options-derivatives.jpg", "width": 3850, "height": 2166, "caption": "A high-tech abstract form featuring smooth dark surfaces and prominent bright green and light blue highlights within a recessed, dark container. The design gives a sense of sleek, futuristic technology and dynamic movement." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/rollup-state-verification/", "url": "https://term.greeks.live/term/rollup-state-verification/", "headline": "Rollup State Verification", "description": "Meaning ⎊ Rollup State Verification anchors off-chain execution to Layer 1 security through cryptographic proofs ensuring the integrity of state transitions. ⎊ Definition", "datePublished": "2026-02-04T18:14:25+00:00", "dateModified": "2026-02-04T18:38:09+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/decentralized-finance-amm-liquidity-module-processing-perpetual-swap-collateralization-and-volatility-hedging-strategies.jpg", "width": 3850, "height": 2166, "caption": "A futuristic, close-up view shows a modular cylindrical mechanism encased in dark housing. The central component glows with segmented green light, suggesting an active operational state and data processing." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/zk-rollup-verification-cost/", "url": "https://term.greeks.live/term/zk-rollup-verification-cost/", "headline": "ZK-Rollup Verification Cost", "description": "Meaning ⎊ The ZK-Rollup Verification Cost is the L1 gas expenditure to validate a zero-knowledge proof, functioning as the non-negotiable floor for L2 derivative settlement efficiency. ⎊ Definition", "datePublished": "2026-02-03T02:38:07+00:00", "dateModified": "2026-02-03T02:46:31+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-risk-management-engine-for-defi-derivatives-options-pricing-and-smart-contract-composability.jpg", "width": 3850, "height": 2166, "caption": "The image displays a close-up render of an advanced, multi-part mechanism, featuring deep blue, cream, and green components interlocked around a central structure with a glowing green core. The design elements suggest high-precision engineering and fluid movement between parts." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/rollup-data-availability-cost/", "url": "https://term.greeks.live/term/rollup-data-availability-cost/", "headline": "Rollup Data Availability Cost", "description": "Meaning ⎊ The Rollup Data Availability Cost is the L2's largest variable operational expense, serving as the L1 security premium that dictates L2 profitability and L2 token fundamental value. ⎊ Definition", "datePublished": "2026-01-29T20:46:31+00:00", "dateModified": "2026-01-29T20:56:14+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-layered-blockchain-architecture-visualization-for-layer-2-scaling-solutions-and-defi-collateralization-models.jpg", "width": 3850, "height": 2166, "caption": "A sequence of nested, multi-faceted geometric shapes is depicted in a digital rendering. 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The close-up perspective highlights the intricate mechanical structure and overlapping forms." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/zero-knowledge-rollup-verification/", "url": "https://term.greeks.live/term/zero-knowledge-rollup-verification/", "headline": "Zero-Knowledge Rollup Verification", "description": "Meaning ⎊ Zero-Knowledge Rollup Verification uses mathematical validity proofs to ensure off-chain transaction integrity and provide deterministic finality. ⎊ Definition", "datePublished": "2026-01-19T01:28:07+00:00", "dateModified": "2026-01-19T04:12:53+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/multi-layered-risk-assessment-in-structured-derivatives-and-algorithmic-trading-protocols.jpg", "width": 3850, "height": 2166, "caption": "A highly stylized geometric figure featuring multiple nested layers in shades of blue, cream, and green. The structure converges towards a glowing green circular core, suggesting depth and precision." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/zero-knowledge-rollup-economics/", "url": "https://term.greeks.live/term/zero-knowledge-rollup-economics/", "headline": "Zero-Knowledge Rollup Economics", "description": "Meaning ⎊ Zero-Knowledge Rollup Economics optimizes blockchain scalability by replacing expensive on-chain execution with cost-efficient validity proofs. ⎊ Definition", "datePublished": "2026-01-15T02:48:03+00:00", "dateModified": "2026-01-15T02:49:05+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/dissecting-smart-contract-architecture-for-derivatives-settlement-and-risk-collateralization-mechanisms.jpg", "width": 3850, "height": 2166, "caption": "A detailed 3D rendering showcases two sections of a cylindrical object separating, revealing a complex internal mechanism comprised of gears and rings. The internal components, rendered in teal and metallic colors, represent the intricate workings of a complex system." } } ], "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/dynamic-visualization-of-options-contract-state-transition-in-the-money-versus-out-the-money-derivatives-pricing.jpg" } } ``` --- **Original URL:** https://term.greeks.live/area/rollup-state-transitions/