# Arbitrage Free Condition ⎊ Area ⎊ Resource 1 --- ## What is the Assumption of Arbitrage Free Condition? The arbitrage free condition, fundamentally, posits that in efficient markets, identical assets or portfolios generating identical cash flows must trade at equivalent prices; deviations create riskless profit opportunities exploited by arbitrageurs. Within cryptocurrency derivatives, this translates to the theoretical equivalence between spot prices and corresponding futures or options contracts, adjusted for cost of carry. Establishing this condition requires a robust understanding of underlying asset dynamics and accurate pricing models, particularly crucial given the volatility inherent in digital asset markets. Its presence is not a guarantee of market efficiency, but rather a benchmark against which deviations—and potential trading strategies—are measured. ## What is the Calculation of Arbitrage Free Condition? Determining an arbitrage free condition necessitates precise valuation of derivative instruments, often employing models like Black-Scholes or binomial trees, adapted for the specific characteristics of the cryptocurrency market. Parameter inputs, including volatility, interest rates, and dividend yields (where applicable), must be accurately estimated to avoid mispricing and spurious arbitrage signals. Real-time data feeds and low-latency execution are critical, as arbitrage opportunities are typically short-lived, demanding sophisticated algorithmic trading infrastructure. The complexity increases with exotic derivatives, requiring advanced numerical methods and careful consideration of model risk. ## What is the Context of Arbitrage Free Condition? The relevance of the arbitrage free condition extends beyond pure profit seeking, serving as a cornerstone for risk management and market stability in the broader financial ecosystem. In decentralized finance (DeFi), automated market makers (AMMs) rely on this principle to maintain price equilibrium, though impermanent loss introduces a unique challenge. Regulatory oversight increasingly focuses on ensuring fair pricing and preventing market manipulation, with arbitrage activity often scrutinized as a potential indicator of systemic risk or illicit behavior. --- ## [Regulatory Arbitrage](https://term.greeks.live/definition/regulatory-arbitrage/) Exploiting differences between jurisdictional legal frameworks to minimize compliance costs and bypass strict regulations. ⎊ Definition ## [Arbitrage Opportunities](https://term.greeks.live/definition/arbitrage-opportunities/) Risk-free profit opportunities resulting from price discrepancies between related financial instruments or markets. ⎊ Definition ## [Arbitrage Strategies](https://term.greeks.live/definition/arbitrage-strategies/) Trading techniques that profit from price discrepancies across different venues, helping to unify global asset prices. ⎊ Definition ## [Volatility Arbitrage](https://term.greeks.live/definition/volatility-arbitrage/) Trading strategy exploiting the difference between implied market volatility and actual future realized volatility. ⎊ Definition ## [Arbitrage](https://term.greeks.live/definition/arbitrage/) The simultaneous purchase and sale of an asset in different markets to profit from small price discrepancies. ⎊ Definition ## [Risk Free Rate](https://term.greeks.live/definition/risk-free-rate/) The baseline rate of return for a zero risk investment, used to evaluate the risk premium of other assets. ⎊ Definition ## [Cross-Chain Arbitrage](https://term.greeks.live/definition/cross-chain-arbitrage/) The act of profiting from price discrepancies of the same asset across different blockchain networks and bridges. ⎊ Definition ## [Arbitrage-Free Pricing](https://term.greeks.live/definition/arbitrage-free-pricing/) A valuation framework where prices prevent riskless profit opportunities, ensuring market equilibrium. ⎊ Definition ## [Arbitrage Mechanisms](https://term.greeks.live/definition/arbitrage-mechanisms/) Automated processes where traders correct price discrepancies across markets to ensure global price efficiency. ⎊ Definition ## [Funding Rate Arbitrage](https://term.greeks.live/definition/funding-rate-arbitrage/) Capturing periodic funding payments by maintaining a delta-neutral position in perpetual futures. ⎊ Definition ## [Risk-Free Rate Calculation](https://term.greeks.live/term/risk-free-rate-calculation/) Meaning ⎊ The Risk-Free Rate Calculation in crypto options requires adapting traditional models to account for dynamic on-chain lending yields and inherent protocol risks. ⎊ Definition ## [Risk-Free Rate Assumption](https://term.greeks.live/term/risk-free-rate-assumption/) Meaning ⎊ The Risk-Free Rate Assumption in crypto options pricing is a critical challenge where traditional models fail due to the absence of a truly risk-free asset in decentralized markets. ⎊ Definition ## [Risk-Free Rate Proxy](https://term.greeks.live/definition/risk-free-rate-proxy/) A benchmark yield used in crypto to estimate the theoretical risk-free return for pricing and valuation models. ⎊ Definition ## [Risk-Free Rate Ambiguity](https://term.greeks.live/term/risk-free-rate-ambiguity/) Meaning ⎊ Risk-Free Rate Ambiguity describes the challenge of calculating a reliable time value of money for crypto options due to the lack of a sovereign benchmark and the fragmentation of yield sources. ⎊ Definition ## [Risk-Free Interest Rate](https://term.greeks.live/definition/risk-free-interest-rate/) The theoretical return on an investment with no default risk, used to discount future cash flows in pricing models. ⎊ Definition ## [Risk-Free Rate Assumptions](https://term.greeks.live/term/risk-free-rate-assumptions/) Meaning ⎊ The Risk-Free Rate Assumption in crypto options pricing is a critical challenge requiring a shift from traditional models to dynamic, on-chain proxies like stablecoin yields and liquid staking derivatives. ⎊ Definition ## [Risk-Free Interest Rate Assumption](https://term.greeks.live/term/risk-free-interest-rate-assumption/) Meaning ⎊ The Risk-Free Interest Rate Assumption in crypto options represents the dynamic opportunity cost of capital within decentralized markets, serving as a critical input for derivative pricing models. ⎊ Definition ## [Risk-Free Rate Paradox](https://term.greeks.live/term/risk-free-rate-paradox/) Meaning ⎊ The Risk-Free Rate Paradox in crypto highlights the instability of options pricing models due to the lack of a truly risk-free asset in decentralized markets. ⎊ Definition ## [Risk-Free Rate Determination](https://term.greeks.live/term/risk-free-rate-determination/) Meaning ⎊ The crypto risk-free rate determination process involves selecting a dynamic proxy from decentralized lending or futures markets to price options, accounting for systemic risks inherent in the ecosystem. ⎊ Definition ## [Cash and Carry Arbitrage](https://term.greeks.live/definition/cash-and-carry-arbitrage/) Buying spot assets while shorting futures to capture the price spread as it narrows toward maturity. ⎊ Definition ## [Arbitrage Incentives](https://term.greeks.live/definition/arbitrage-incentives/) Economic mechanisms that encourage traders to align prices across markets by exploiting temporary price discrepancies. ⎊ Definition ## [On-Chain Arbitrage](https://term.greeks.live/term/on-chain-arbitrage/) Meaning ⎊ On-chain arbitrage exploits price discrepancies across decentralized exchanges using atomic transactions, ensuring market efficiency by quickly aligning prices between derivatives and their underlying assets. ⎊ Definition ## [Latency Arbitrage](https://term.greeks.live/definition/latency-arbitrage/) Exploiting speed advantages to profit from price discrepancies that exist for only fractions of a second across venues. ⎊ Definition ## [Arbitrage Feedback Loops](https://term.greeks.live/term/arbitrage-feedback-loops/) Meaning ⎊ Arbitrage feedback loops enforce price convergence across crypto options and derivatives markets, acting as a dynamic mechanism for efficiency and liquidity. ⎊ Definition ## [Risk-Free Rate Simulation](https://term.greeks.live/term/risk-free-rate-simulation/) Meaning ⎊ Decentralized Risk-Free Rate Simulation derives a proxy for options pricing by using dynamic stablecoin lending rates from on-chain protocols. ⎊ Definition ## [Risk-Free Rate Instability](https://term.greeks.live/term/risk-free-rate-instability/) Meaning ⎊ Risk-Free Rate Instability describes the systemic challenge in crypto derivatives pricing where interest rates, unlike traditional markets, are highly volatile and correlated with underlying asset price movements. ⎊ Definition ## [Risk-Free Rate Equivalent](https://term.greeks.live/term/risk-free-rate-equivalent/) Meaning ⎊ The Risk-Free Rate Equivalent in crypto options is a dynamic risk variable that serves as a necessary proxy for the cost of capital in decentralized markets. ⎊ Definition ## [Risk-Free Rate Analogy](https://term.greeks.live/term/risk-free-rate-analogy/) Meaning ⎊ The Decentralized Risk-Free Rate Proxy (DRFRP) is the crypto options market's functional analogy for the traditional risk-free rate, representing the opportunity cost of capital for options pricing and risk management in a high-yield, dynamic environment. ⎊ Definition ## [Risk Free Rate Feed](https://term.greeks.live/term/risk-free-rate-feed/) Meaning ⎊ The Risk Free Rate Feed provides a critical, aggregated benchmark for the cost of capital, essential for accurate options pricing and risk management in decentralized finance. ⎊ Definition ## [Arbitrage Strategy](https://term.greeks.live/definition/arbitrage-strategy/) Profiting from price differences between markets to align valuations and maintain market efficiency. ⎊ Definition --- ## 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The device’s complex housing incorporates dark blue, teal, and off-white components, suggesting advanced, precision engineering." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/risk-free-interest-rate-assumption/", "url": "https://term.greeks.live/term/risk-free-interest-rate-assumption/", "headline": "Risk-Free Interest Rate Assumption", "description": "Meaning ⎊ The Risk-Free Interest Rate Assumption in crypto options represents the dynamic opportunity cost of capital within decentralized markets, serving as a critical input for derivative pricing models. ⎊ Definition", "datePublished": "2025-12-15T08:20:38+00:00", "dateModified": "2025-12-15T08:20:38+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/cryptocurrency-perpetual-swaps-price-discovery-volatility-dynamics-risk-management-framework-visualization.jpg", "width": 3850, "height": 2166, "caption": "A low-poly digital rendering presents a stylized, multi-component object against a dark background. The central cylindrical form features colored segments—dark blue, vibrant green, bright blue—and four prominent, fin-like structures extending outwards at angles." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/risk-free-rate-paradox/", "url": "https://term.greeks.live/term/risk-free-rate-paradox/", "headline": "Risk-Free Rate Paradox", "description": "Meaning ⎊ The Risk-Free Rate Paradox in crypto highlights the instability of options pricing models due to the lack of a truly risk-free asset in decentralized markets. ⎊ Definition", "datePublished": "2025-12-15T08:21:37+00:00", "dateModified": "2025-12-15T08:21:37+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-structure-visualizing-crypto-derivatives-tranches-and-implied-volatility-surfaces-in-risk-adjusted-portfolios.jpg", "width": 3850, "height": 2166, "caption": "Abstract, smooth layers of material in varying shades of blue, green, and cream flow and stack against a dark background, creating a sense of dynamic movement. The layers transition from a bright green core to darker and lighter hues on the periphery." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/risk-free-rate-determination/", "url": "https://term.greeks.live/term/risk-free-rate-determination/", "headline": "Risk-Free Rate Determination", "description": "Meaning ⎊ The crypto risk-free rate determination process involves selecting a dynamic proxy from decentralized lending or futures markets to price options, accounting for systemic risks inherent in the ecosystem. ⎊ Definition", "datePublished": "2025-12-15T08:22:43+00:00", "dateModified": "2026-01-04T14:17:28+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-execution-mechanism-design-for-complex-decentralized-derivatives-structuring-and-precision-volatility-hedging.jpg", "width": 3850, "height": 2166, "caption": "A high-angle close-up view shows a futuristic, pen-like instrument with a complex ergonomic grip. The body features interlocking, flowing components in dark blue and teal, terminating in an off-white base from which a sharp metal tip extends." } }, { "@type": "Article", "@id": "https://term.greeks.live/definition/cash-and-carry-arbitrage/", "url": "https://term.greeks.live/definition/cash-and-carry-arbitrage/", "headline": "Cash and Carry Arbitrage", "description": "Buying spot assets while shorting futures to capture the price spread as it narrows toward maturity. ⎊ Definition", "datePublished": "2025-12-15T08:25:32+00:00", "dateModified": "2026-04-07T13:06:17+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-volatility-arbitrage-strategy-in-decentralized-derivatives-market-architecture-and-smart-contract-execution-logic.jpg", "width": 3850, "height": 2166, "caption": "A smooth, organic-looking dark blue object occupies the frame against a deep blue background. The abstract form loops and twists, featuring a glowing green segment that highlights a specific cylindrical element ending in a blue cap." } }, { "@type": "Article", "@id": "https://term.greeks.live/definition/arbitrage-incentives/", "url": "https://term.greeks.live/definition/arbitrage-incentives/", "headline": "Arbitrage Incentives", "description": "Economic mechanisms that encourage traders to align prices across markets by exploiting temporary price discrepancies. ⎊ Definition", "datePublished": "2025-12-15T10:22:16+00:00", "dateModified": "2026-04-05T19:30:37+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/abstract-visualization-of-advanced-defi-protocol-mechanics-demonstrating-arbitrage-and-structured-product-generation.jpg", "width": 3850, "height": 2166, "caption": "A stylized, abstract object featuring a prominent dark triangular frame over a layered structure of white and blue components. The structure connects to a teal cylindrical body with a glowing green-lit opening, resting on a dark surface against a deep blue background." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/on-chain-arbitrage/", "url": "https://term.greeks.live/term/on-chain-arbitrage/", "headline": "On-Chain Arbitrage", "description": "Meaning ⎊ On-chain arbitrage exploits price discrepancies across decentralized exchanges using atomic transactions, ensuring market efficiency by quickly aligning prices between derivatives and their underlying assets. ⎊ Definition", "datePublished": "2025-12-15T10:43:37+00:00", "dateModified": "2026-01-04T15:17:55+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/multilayered-collateralized-debt-position-architecture-for-synthetic-asset-arbitrage-and-volatility-tranches.jpg", "width": 3850, "height": 2166, "caption": "A detailed abstract 3D render displays a complex assembly of geometric shapes, primarily featuring a central green metallic ring and a pointed, layered front structure. The arrangement incorporates angular facets in shades of white, beige, and blue, set against a dark background, creating a sense of dynamic, forward motion." } }, { "@type": "Article", "@id": "https://term.greeks.live/definition/latency-arbitrage/", "url": "https://term.greeks.live/definition/latency-arbitrage/", "headline": "Latency Arbitrage", "description": "Exploiting speed advantages to profit from price discrepancies that exist for only fractions of a second across venues. ⎊ Definition", "datePublished": "2025-12-15T10:47:09+00:00", "dateModified": "2026-04-07T14:32:15+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/encapsulated-decentralized-finance-protocol-architecture-for-high-frequency-algorithmic-arbitrage-and-risk-management-optimization.jpg", "width": 3850, "height": 2166, "caption": "A high-tech, dark ovoid casing features a cutaway view that exposes internal precision machinery. The interior components glow with a vibrant neon green hue, contrasting sharply with the matte, textured exterior." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/arbitrage-feedback-loops/", "url": "https://term.greeks.live/term/arbitrage-feedback-loops/", "headline": "Arbitrage Feedback Loops", "description": "Meaning ⎊ Arbitrage feedback loops enforce price convergence across crypto options and derivatives markets, acting as a dynamic mechanism for efficiency and liquidity. ⎊ Definition", "datePublished": "2025-12-16T08:38:32+00:00", "dateModified": "2026-01-04T15:28:48+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/interdependent-structured-derivatives-and-collateralized-debt-obligations-in-decentralized-finance-protocol-architecture.jpg", "width": 3850, "height": 2166, "caption": "The image displays four distinct abstract shapes in blue, white, navy, and green, intricately linked together in a complex, three-dimensional arrangement against a dark background. A smaller bright green ring floats centrally within the gaps created by the larger, interlocking structures." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/risk-free-rate-simulation/", "url": "https://term.greeks.live/term/risk-free-rate-simulation/", "headline": "Risk-Free Rate Simulation", "description": "Meaning ⎊ Decentralized Risk-Free Rate Simulation derives a proxy for options pricing by using dynamic stablecoin lending rates from on-chain protocols. ⎊ Definition", "datePublished": "2025-12-16T08:39:36+00:00", "dateModified": "2025-12-16T08:39:36+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/decentralized-finance-structured-products-options-contract-time-decay-and-collateralized-risk-assessment-framework-visualization.jpg", "width": 3850, "height": 2166, "caption": "A complex abstract visualization features a central mechanism composed of interlocking rings in shades of blue, teal, and beige. The structure extends from a sleek, dark blue form on one end to a time-based hourglass element on the other." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/risk-free-rate-instability/", "url": "https://term.greeks.live/term/risk-free-rate-instability/", "headline": "Risk-Free Rate Instability", "description": "Meaning ⎊ Risk-Free Rate Instability describes the systemic challenge in crypto derivatives pricing where interest rates, unlike traditional markets, are highly volatile and correlated with underlying asset price movements. ⎊ Definition", "datePublished": "2025-12-16T08:44:15+00:00", "dateModified": "2026-01-04T15:32:09+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/interlocking-component-representation-of-layered-financial-derivative-contract-mechanisms-for-algorithmic-execution.jpg", "width": 3850, "height": 2166, "caption": "A highly detailed rendering showcases a close-up view of a complex mechanical joint with multiple interlocking rings in dark blue, green, beige, and white. This precise assembly symbolizes the intricate architecture of advanced financial derivative instruments." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/risk-free-rate-equivalent/", "url": "https://term.greeks.live/term/risk-free-rate-equivalent/", "headline": "Risk-Free Rate Equivalent", "description": "Meaning ⎊ The Risk-Free Rate Equivalent in crypto options is a dynamic risk variable that serves as a necessary proxy for the cost of capital in decentralized markets. ⎊ Definition", "datePublished": "2025-12-16T09:02:18+00:00", "dateModified": "2025-12-16T09:02:18+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-collateralized-debt-obligations-and-synthetic-asset-intertwining-in-decentralized-finance-liquidity-pools.jpg", "width": 3850, "height": 2166, "caption": "A close-up view of a complex abstract sculpture features intertwined, smooth bands and rings in shades of blue, white, cream, and dark blue, contrasted with a bright green lattice structure. The composition emphasizes layered forms that wrap around a central spherical element, creating a sense of dynamic motion and depth." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/risk-free-rate-analogy/", "url": "https://term.greeks.live/term/risk-free-rate-analogy/", "headline": "Risk-Free Rate Analogy", "description": "Meaning ⎊ The Decentralized Risk-Free Rate Proxy (DRFRP) is the crypto options market's functional analogy for the traditional risk-free rate, representing the opportunity cost of capital for options pricing and risk management in a high-yield, dynamic environment. ⎊ Definition", "datePublished": "2025-12-16T09:09:31+00:00", "dateModified": "2026-01-04T15:41:31+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/visualizing-smart-contract-collateral-management-and-decentralized-autonomous-organization-governance-mechanisms.jpg", "width": 3850, "height": 2166, "caption": "A detailed 3D cutaway visualization displays a dark blue capsule revealing an intricate internal mechanism. The core assembly features a sequence of metallic gears, including a prominent helical gear, housed within a precision-fitted teal inner casing." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/risk-free-rate-feed/", "url": "https://term.greeks.live/term/risk-free-rate-feed/", "headline": "Risk Free Rate Feed", "description": "Meaning ⎊ The Risk Free Rate Feed provides a critical, aggregated benchmark for the cost of capital, essential for accurate options pricing and risk management in decentralized finance. ⎊ Definition", "datePublished": "2025-12-16T09:09:38+00:00", "dateModified": "2025-12-16T09:09:38+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/visualizing-defi-structured-products-complex-collateralization-ratios-and-perpetual-futures-hedging-mechanisms.jpg", "width": 3850, "height": 2166, "caption": "The image displays an abstract, three-dimensional geometric structure composed of nested layers in shades of dark blue, beige, and light blue. A prominent central cylinder and a bright green element interact within the layered framework." } }, { "@type": "Article", "@id": "https://term.greeks.live/definition/arbitrage-strategy/", "url": "https://term.greeks.live/definition/arbitrage-strategy/", "headline": "Arbitrage Strategy", "description": "Profiting from price differences between markets to align valuations and maintain market efficiency. ⎊ Definition", "datePublished": "2025-12-16T09:18:37+00:00", "dateModified": "2026-04-07T04:42:05+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/algorithmic-volatility-arbitrage-strategy-in-decentralized-derivatives-market-architecture-and-smart-contract-execution-logic.jpg", "width": 3850, "height": 2166, "caption": "A smooth, organic-looking dark blue object occupies the frame against a deep blue background. The abstract form loops and twists, featuring a glowing green segment that highlights a specific cylindrical element ending in a blue cap." } } ], "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/algorithmic-volatility-arbitrage-mechanism-demonstrating-multi-leg-options-strategies-and-decentralized-finance-protocol-rebalancing-logic.jpg" } } ``` --- **Original URL:** https://term.greeks.live/area/arbitrage-free-condition/resource/1/