# Option Greeks Calculation ⎊ Area ⎊ Resource 1

---

## What is the Derivation of Option Greeks Calculation?

Mathematical frameworks for determining option sensitivities quantify the directional influence of underlying asset price fluctuations, temporal decay, and implied volatility shifts on derivative premiums. These metrics utilize partial derivatives of the Black-Scholes or binomial models to isolate specific risk dimensions, providing a precise diagnostic tool for crypto market participants. Precise calculation allows for the granular decomposition of portfolio exposure, enabling traders to neutralize unwanted directional or volatility risks.

## What is the Methodology of Option Greeks Calculation?

Implementing these computations requires reliable data feeds for spot prices, interest rates, and cryptocurrency-specific term structures. Algorithms must account for the high frequency and non-linear nature of digital asset movements to maintain accurate delta, gamma, theta, vega, and rho estimates. Frequent recalibration ensures that the outputs remain congruent with rapid market microstructure shifts typical of decentralized finance and centralized exchange environments.

## What is the Exposure of Option Greeks Calculation?

Monitoring these quantitative variables serves as the cornerstone of institutional risk management and hedging operations in derivatives trading. Traders adjust their hedging ratios based on calculated sensitivity values to mitigate potential insolvency or catastrophic loss during periods of extreme market turbulence. A comprehensive understanding of how these factors interact empowers market participants to construct robust strategies that prioritize capital preservation over speculative volatility.


---

## [Option Greeks](https://term.greeks.live/definition/option-greeks/)

Mathematical metrics measuring how an option price changes relative to underlying price, time, and volatility shifts. ⎊ Definition

## [Options Greeks](https://term.greeks.live/definition/options-greeks/)

Mathematical metrics measuring an option price sensitivity to changes in market factors like price, time, and volatility. ⎊ Definition

## [Greeks](https://term.greeks.live/definition/greeks/)

Mathematical metrics that quantify an option's sensitivity to market variables like price, time, and volatility. ⎊ Definition

## [Black-Scholes Model Limitations](https://term.greeks.live/definition/black-scholes-model-limitations/)

Shortcomings of the standard option pricing model when facing real-world market volatility and non-normal distributions. ⎊ Definition

## [Heston Model](https://term.greeks.live/definition/heston-model/)

Stochastic model assuming variance mean-reverts and correlates with price to capture volatility skew and leverage effects. ⎊ Definition

## [Greeks Analysis](https://term.greeks.live/definition/greeks-analysis/)

Framework measuring an option's price sensitivity to changes in underlying variables like price, time, and volatility. ⎊ Definition

## [Margin Calculation](https://term.greeks.live/term/margin-calculation/)

Meaning ⎊ Margin calculation in crypto options determines collateral requirements based on portfolio risk and volatility, acting as the primary defense against systemic liquidation cascades. ⎊ Definition

## [Greeks Calculation](https://term.greeks.live/definition/greeks-calculation/)

Mathematically quantifying options risk through sensitivity metrics like Delta and Gamma. ⎊ Definition

## [Margin Requirements Calculation](https://term.greeks.live/term/margin-requirements-calculation/)

Meaning ⎊ Margin requirements calculation defines the minimum collateral needed to cover potential losses, balancing capital efficiency with systemic risk control in crypto options markets. ⎊ 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 Premium Calculation](https://term.greeks.live/term/risk-premium-calculation/)

Meaning ⎊ Risk premium calculation in crypto options measures the compensation for systemic risks, including smart contract failure and liquidity fragmentation, by analyzing the difference between implied and realized volatility. ⎊ Definition

## [Option Premium Calculation](https://term.greeks.live/definition/option-premium-calculation/)

The process of determining the cost of an option contract based on intrinsic and extrinsic value factors. ⎊ Definition

## [Request for Quote](https://term.greeks.live/term/request-for-quote/)

Meaning ⎊ Request for Quote systems enable institutional-grade price discovery for large-volume or complex derivatives trades by aggregating competitive quotes from market makers to minimize slippage. ⎊ Definition

## [Black-Scholes-Merton Adaptation](https://term.greeks.live/term/black-scholes-merton-adaptation/)

Meaning ⎊ The Black-Scholes-Merton Adaptation modifies traditional option pricing theory to account for crypto market characteristics, primarily heavy tails and volatility clustering, essential for accurate risk management in decentralized finance. ⎊ Definition

## [Greeks Risk Management](https://term.greeks.live/term/greeks-risk-management/)

Meaning ⎊ Greeks risk management quantifies the sensitivities of crypto option prices to market variables, providing essential tools for hedging against volatility and systemic risk in decentralized markets. ⎊ Definition

## [On-Chain Risk Calculation](https://term.greeks.live/term/on-chain-risk-calculation/)

Meaning ⎊ On-chain risk calculation is the automated process of determining collateral requirements for derivatives using transparent smart contract logic to ensure protocol solvency in decentralized markets. ⎊ Definition

## [Local Volatility Models](https://term.greeks.live/definition/local-volatility-models/)

Advanced pricing models where volatility depends on price and time to match observed market option prices perfectly. ⎊ Definition

## [Off-Chain Calculation](https://term.greeks.live/term/off-chain-calculation/)

Meaning ⎊ Off-chain calculation enables scalable decentralized derivatives by moving computationally intensive risk management and pricing logic off the main blockchain to reduce costs and latency. ⎊ Definition

## [Vanna](https://term.greeks.live/definition/vanna/)

The sensitivity of an option Delta to changes in implied volatility, reflecting the interaction between price and vol. ⎊ Definition

## [Premium Index Calculation](https://term.greeks.live/term/premium-index-calculation/)

Meaning ⎊ The premium index calculation quantifies the difference between an option's market price and theoretical value, reflecting market sentiment and volatility expectations. ⎊ Definition

## [Intrinsic Value Calculation](https://term.greeks.live/term/intrinsic-value-calculation/)

Meaning ⎊ Intrinsic value calculation determines an option's immediate profit potential by comparing the strike price to the underlying asset price, establishing a minimum price floor for the derivative. ⎊ Definition

## [Value at Risk Calculation](https://term.greeks.live/term/value-at-risk-calculation/)

Meaning ⎊ Value at Risk calculation in crypto options quantifies potential portfolio losses under specific confidence levels, guiding margin requirements and assessing protocol solvency. ⎊ Definition

## [Options Greeks Calculation](https://term.greeks.live/term/options-greeks-calculation/)

Meaning ⎊ Options Greeks calculation provides essential risk metrics for options trading, measuring sensitivity to price, volatility, and time decay within the unique market structure of crypto. ⎊ Definition

## [On-Chain Calculation](https://term.greeks.live/term/on-chain-calculation/)

Meaning ⎊ On-chain calculation executes complex options pricing and risk management logic directly on the blockchain, ensuring trustless and transparent financial operations. ⎊ Definition

## [Forward Funding Rate Calculation](https://term.greeks.live/term/forward-funding-rate-calculation/)

Meaning ⎊ The forward funding rate calculation is the core mechanism in perpetual futures that maintains price alignment between the derivative contract and the underlying spot asset through continuous incentive-based payments. ⎊ Definition

## [Funding Rate Calculation](https://term.greeks.live/term/funding-rate-calculation/)

Meaning ⎊ The funding rate calculation serves as the cost-of-carry mechanism that aligns the price of a perpetual future contract with the underlying spot price through continuous arbitrage incentives. ⎊ Definition

## [Off-Chain Risk Calculation](https://term.greeks.live/term/off-chain-risk-calculation/)

Meaning ⎊ Off-chain risk calculation optimizes capital efficiency for decentralized derivatives by processing complex risk metrics outside the high-cost constraints of the blockchain. ⎊ Definition

## [VaR Calculation](https://term.greeks.live/term/var-calculation/)

Meaning ⎊ VaR calculation for crypto options quantifies potential portfolio losses by adjusting traditional methodologies to account for high volatility and heavy-tailed risk distributions. ⎊ Definition

## [Portfolio Margin Calculation](https://term.greeks.live/term/portfolio-margin-calculation/)

Meaning ⎊ Portfolio margin calculation optimizes capital efficiency for options traders by assessing the net risk of an entire portfolio rather than individual positions. ⎊ Definition

## [Real-Time Risk Calculation](https://term.greeks.live/definition/real-time-risk-calculation/)

The continuous and instantaneous assessment of trading exposure and potential losses during market activity. ⎊ Definition

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                "caption": "A layered geometric object composed of hexagonal frames, cylindrical rings, and a central green mesh sphere is set against a dark blue background, with a sharp, striped geometric pattern in the lower left corner. The structure visually represents a sophisticated financial derivative mechanism, specifically a decentralized finance DeFi structured product where risk tranches are segregated."
            }
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            "@type": "Article",
            "@id": "https://term.greeks.live/term/black-scholes-merton-adaptation/",
            "url": "https://term.greeks.live/term/black-scholes-merton-adaptation/",
            "headline": "Black-Scholes-Merton Adaptation",
            "description": "Meaning ⎊ The Black-Scholes-Merton Adaptation modifies traditional option pricing theory to account for crypto market characteristics, primarily heavy tails and volatility clustering, essential for accurate risk management in decentralized finance. ⎊ Definition",
            "datePublished": "2025-12-14T09:31:23+00:00",
            "dateModified": "2025-12-14T09:31:23+00:00",
            "author": {
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            "url": "https://term.greeks.live/term/greeks-risk-management/",
            "headline": "Greeks Risk Management",
            "description": "Meaning ⎊ Greeks risk management quantifies the sensitivities of crypto option prices to market variables, providing essential tools for hedging against volatility and systemic risk in decentralized markets. ⎊ Definition",
            "datePublished": "2025-12-14T09:32:36+00:00",
            "dateModified": "2026-01-04T13:27:00+00:00",
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                "@type": "Person",
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            "url": "https://term.greeks.live/term/on-chain-risk-calculation/",
            "headline": "On-Chain Risk Calculation",
            "description": "Meaning ⎊ On-chain risk calculation is the automated process of determining collateral requirements for derivatives using transparent smart contract logic to ensure protocol solvency in decentralized markets. ⎊ Definition",
            "datePublished": "2025-12-14T09:34:30+00:00",
            "dateModified": "2026-01-04T13:32:00+00:00",
            "author": {
                "@type": "Person",
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            "url": "https://term.greeks.live/definition/local-volatility-models/",
            "headline": "Local Volatility Models",
            "description": "Advanced pricing models where volatility depends on price and time to match observed market option prices perfectly. ⎊ Definition",
            "datePublished": "2025-12-14T09:41:45+00:00",
            "dateModified": "2026-04-01T08:43:02+00:00",
            "author": {
                "@type": "Person",
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                "url": "https://term.greeks.live/author/greeks-live/"
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            "url": "https://term.greeks.live/term/off-chain-calculation/",
            "headline": "Off-Chain Calculation",
            "description": "Meaning ⎊ Off-chain calculation enables scalable decentralized derivatives by moving computationally intensive risk management and pricing logic off the main blockchain to reduce costs and latency. ⎊ Definition",
            "datePublished": "2025-12-14T09:50:07+00:00",
            "dateModified": "2026-01-04T13:35:44+00:00",
            "author": {
                "@type": "Person",
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                "url": "https://term.greeks.live/author/greeks-live/"
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            "url": "https://term.greeks.live/definition/vanna/",
            "headline": "Vanna",
            "description": "The sensitivity of an option Delta to changes in implied volatility, reflecting the interaction between price and vol. ⎊ Definition",
            "datePublished": "2025-12-14T09:55:27+00:00",
            "dateModified": "2026-03-21T13:55:33+00:00",
            "author": {
                "@type": "Person",
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                "url": "https://term.greeks.live/author/greeks-live/"
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            "@type": "Article",
            "@id": "https://term.greeks.live/term/premium-index-calculation/",
            "url": "https://term.greeks.live/term/premium-index-calculation/",
            "headline": "Premium Index Calculation",
            "description": "Meaning ⎊ The premium index calculation quantifies the difference between an option's market price and theoretical value, reflecting market sentiment and volatility expectations. ⎊ Definition",
            "datePublished": "2025-12-14T10:15:45+00:00",
            "dateModified": "2025-12-14T10:15:45+00:00",
            "author": {
                "@type": "Person",
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                "url": "https://term.greeks.live/author/greeks-live/"
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            "@type": "Article",
            "@id": "https://term.greeks.live/term/intrinsic-value-calculation/",
            "url": "https://term.greeks.live/term/intrinsic-value-calculation/",
            "headline": "Intrinsic Value Calculation",
            "description": "Meaning ⎊ Intrinsic value calculation determines an option's immediate profit potential by comparing the strike price to the underlying asset price, establishing a minimum price floor for the derivative. ⎊ Definition",
            "datePublished": "2025-12-14T10:21:22+00:00",
            "dateModified": "2026-01-04T13:50:06+00:00",
            "author": {
                "@type": "Person",
                "name": "Greeks.live",
                "url": "https://term.greeks.live/author/greeks-live/"
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            "image": {
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                "url": "https://term.greeks.live/wp-content/uploads/2025/12/decentralized-finance-protocol-mechanics-illustrating-automated-market-maker-liquidity-and-perpetual-funding-rate-calculation.jpg",
                "width": 3850,
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                "caption": "A close-up view presents an abstract mechanical device featuring interconnected circular components in deep blue and dark gray tones. A vivid green light traces a path along the central component and an outer ring, suggesting active operation or data transmission within the system."
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            "@type": "Article",
            "@id": "https://term.greeks.live/term/value-at-risk-calculation/",
            "url": "https://term.greeks.live/term/value-at-risk-calculation/",
            "headline": "Value at Risk Calculation",
            "description": "Meaning ⎊ Value at Risk calculation in crypto options quantifies potential portfolio losses under specific confidence levels, guiding margin requirements and assessing protocol solvency. ⎊ Definition",
            "datePublished": "2025-12-14T10:44:03+00:00",
            "dateModified": "2026-01-04T13:59:03+00:00",
            "author": {
                "@type": "Person",
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                "url": "https://term.greeks.live/author/greeks-live/"
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                "@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",
                "width": 3850,
                "height": 2166,
                "caption": "A dark, sleek, futuristic object features two embedded spheres: a prominent, brightly illuminated green sphere and a less illuminated, recessed blue sphere. The contrast between these two elements is central to the image composition."
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            "@type": "Article",
            "@id": "https://term.greeks.live/term/options-greeks-calculation/",
            "url": "https://term.greeks.live/term/options-greeks-calculation/",
            "headline": "Options Greeks Calculation",
            "description": "Meaning ⎊ Options Greeks calculation provides essential risk metrics for options trading, measuring sensitivity to price, volatility, and time decay within the unique market structure of crypto. ⎊ Definition",
            "datePublished": "2025-12-14T10:47:49+00:00",
            "dateModified": "2026-01-04T14:00:46+00:00",
            "author": {
                "@type": "Person",
                "name": "Greeks.live",
                "url": "https://term.greeks.live/author/greeks-live/"
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            "@type": "Article",
            "@id": "https://term.greeks.live/term/on-chain-calculation/",
            "url": "https://term.greeks.live/term/on-chain-calculation/",
            "headline": "On-Chain Calculation",
            "description": "Meaning ⎊ On-chain calculation executes complex options pricing and risk management logic directly on the blockchain, ensuring trustless and transparent financial operations. ⎊ Definition",
            "datePublished": "2025-12-14T11:03:15+00:00",
            "dateModified": "2026-01-04T14:08:59+00:00",
            "author": {
                "@type": "Person",
                "name": "Greeks.live",
                "url": "https://term.greeks.live/author/greeks-live/"
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            "image": {
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                "caption": "A three-dimensional rendering of a futuristic technological component, resembling a sensor or data acquisition device, presented on a dark background. The object features a dark blue housing, complemented by an off-white frame and a prominent teal and glowing green lens at its core."
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            "@type": "Article",
            "@id": "https://term.greeks.live/term/forward-funding-rate-calculation/",
            "url": "https://term.greeks.live/term/forward-funding-rate-calculation/",
            "headline": "Forward Funding Rate Calculation",
            "description": "Meaning ⎊ The forward funding rate calculation is the core mechanism in perpetual futures that maintains price alignment between the derivative contract and the underlying spot asset through continuous incentive-based payments. ⎊ Definition",
            "datePublished": "2025-12-15T08:10:32+00:00",
            "dateModified": "2025-12-15T08:10:32+00:00",
            "author": {
                "@type": "Person",
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                "url": "https://term.greeks.live/author/greeks-live/"
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            "image": {
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            "@id": "https://term.greeks.live/term/funding-rate-calculation/",
            "url": "https://term.greeks.live/term/funding-rate-calculation/",
            "headline": "Funding Rate Calculation",
            "description": "Meaning ⎊ The funding rate calculation serves as the cost-of-carry mechanism that aligns the price of a perpetual future contract with the underlying spot price through continuous arbitrage incentives. ⎊ Definition",
            "datePublished": "2025-12-15T08:19:17+00:00",
            "dateModified": "2025-12-15T08:19:17+00:00",
            "author": {
                "@type": "Person",
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                "url": "https://term.greeks.live/author/greeks-live/"
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                "caption": "A detailed abstract visualization shows a complex mechanical structure centered on a dark blue rod. Layered components, including a bright green core, beige rings, and flexible dark blue elements, are arranged in a concentric fashion, suggesting a compression or locking mechanism."
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            "@type": "Article",
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            "url": "https://term.greeks.live/term/off-chain-risk-calculation/",
            "headline": "Off-Chain Risk Calculation",
            "description": "Meaning ⎊ Off-chain risk calculation optimizes capital efficiency for decentralized derivatives by processing complex risk metrics outside the high-cost constraints of the blockchain. ⎊ Definition",
            "datePublished": "2025-12-15T08:43:58+00:00",
            "dateModified": "2025-12-15T08:43:58+00:00",
            "author": {
                "@type": "Person",
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                "url": "https://term.greeks.live/author/greeks-live/"
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            "image": {
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                "url": "https://term.greeks.live/wp-content/uploads/2025/12/visualizing-interoperability-and-synthetic-assets-collateralization-in-decentralized-finance-derivatives-architecture.jpg",
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            "@type": "Article",
            "@id": "https://term.greeks.live/term/var-calculation/",
            "url": "https://term.greeks.live/term/var-calculation/",
            "headline": "VaR Calculation",
            "description": "Meaning ⎊ VaR calculation for crypto options quantifies potential portfolio losses by adjusting traditional methodologies to account for high volatility and heavy-tailed risk distributions. ⎊ Definition",
            "datePublished": "2025-12-15T08:53:42+00:00",
            "dateModified": "2026-01-04T14:31:39+00:00",
            "author": {
                "@type": "Person",
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                "url": "https://term.greeks.live/author/greeks-live/"
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                "width": 3850,
                "height": 2166,
                "caption": "This abstract visualization depicts the intricate flow of assets within a complex financial derivatives ecosystem. The different colored tubes represent distinct financial instruments and collateral streams, navigating a structural framework that symbolizes a decentralized exchange or market infrastructure."
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        {
            "@type": "Article",
            "@id": "https://term.greeks.live/term/portfolio-margin-calculation/",
            "url": "https://term.greeks.live/term/portfolio-margin-calculation/",
            "headline": "Portfolio Margin Calculation",
            "description": "Meaning ⎊ Portfolio margin calculation optimizes capital efficiency for options traders by assessing the net risk of an entire portfolio rather than individual positions. ⎊ Definition",
            "datePublished": "2025-12-15T08:55:32+00:00",
            "dateModified": "2025-12-15T08:55:32+00:00",
            "author": {
                "@type": "Person",
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                "url": "https://term.greeks.live/author/greeks-live/"
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            "@id": "https://term.greeks.live/definition/real-time-risk-calculation/",
            "url": "https://term.greeks.live/definition/real-time-risk-calculation/",
            "headline": "Real-Time Risk Calculation",
            "description": "The continuous and instantaneous assessment of trading exposure and potential losses during market activity. ⎊ Definition",
            "datePublished": "2025-12-15T09:25:27+00:00",
            "dateModified": "2026-03-24T17:17:30+00:00",
            "author": {
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                "caption": "A cutaway view reveals the inner workings of a precision-engineered mechanism, featuring a prominent central gear system in teal, encased within a dark, sleek outer shell. Beige-colored linkages and rollers connect around the central assembly, suggesting complex, synchronized movement."
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```


---

**Original URL:** https://term.greeks.live/area/option-greeks-calculation/resource/1/
