# Monte Carlo Greeks ⎊ Area ⎊ Greeks.live

---

## What is the Calculation of Monte Carlo Greeks?

Monte Carlo Greeks, within cryptocurrency options and financial derivatives, represent sensitivities derived through simulation, quantifying the potential change in an option’s price for a unit change in underlying parameters. These sensitivities—Delta, Gamma, Vega, Theta, and Rho—are estimated by repeatedly simulating future price paths of the underlying asset using random sampling, a process crucial given the often-complex payoff structures of exotic options prevalent in digital asset markets. The computational intensity of this approach is particularly relevant for path-dependent options, where analytical solutions are unavailable, and accurate risk assessment demands a robust simulation framework. Consequently, efficient implementation and variance reduction techniques are paramount for practical application in high-frequency trading environments.

## What is the Adjustment of Monte Carlo Greeks?

The application of Monte Carlo Greeks necessitates frequent recalibration, especially in volatile cryptocurrency markets, as implied volatility surfaces and correlation structures are dynamic and non-stationary. Parameter adjustments, including volatility models and interest rate curves, directly impact the accuracy of the calculated Greeks, demanding continuous monitoring and refinement of the simulation inputs. Furthermore, model risk is a significant consideration, requiring validation against market data and potentially incorporating multiple models to account for uncertainty in the underlying asset’s behavior. Effective adjustment strategies are vital for maintaining the reliability of risk management systems and informed trading decisions.

## What is the Algorithm of Monte Carlo Greeks?

The core algorithm underpinning Monte Carlo Greeks involves generating a large number of random price paths for the underlying asset, typically using Brownian motion or more sophisticated stochastic processes tailored to the specific asset’s characteristics. Each path simulates a possible future evolution of the asset’s price, and the option payoff is calculated for each path. The Greeks are then estimated as the sensitivity of the average payoff to changes in the input parameters, calculated through finite difference approximations or more advanced regression techniques. Optimizing this algorithm for speed and accuracy, including parallelization and variance reduction methods, is critical for real-time risk management and trading applications.


---

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

Meaning ⎊ Greeks Calculation Circuits provide the computational architecture for real-time risk sensitivity analysis in decentralized derivative markets. ⎊ Term

## [Derivative Pricing Greeks](https://term.greeks.live/term/derivative-pricing-greeks/)

Meaning ⎊ Derivative Pricing Greeks provide the requisite mathematical framework for quantifying and hedging non-linear risk in decentralized digital markets. ⎊ Term

## [Options Pricing Greeks Adjustment](https://term.greeks.live/term/options-pricing-greeks-adjustment/)

Meaning ⎊ Options Pricing Greeks Adjustment recalibrates risk sensitivities to align theoretical models with the extreme volatility and skew of crypto markets. ⎊ Term

## [High-Frequency Greeks Calculation](https://term.greeks.live/term/high-frequency-greeks-calculation/)

Meaning ⎊ High-Frequency Greeks Calculation provides real-time sensitivity metrics to maintain solvency in volatile, 24/7 decentralized derivative markets. ⎊ Term

## [Greeks in Stress Conditions](https://term.greeks.live/term/greeks-in-stress-conditions/)

Meaning ⎊ Greeks in Stress Conditions quantify the non-linear acceleration of risk sensitivities that trigger systemic feedback loops during market crises. ⎊ Term

## [Greeks Delta Gamma Exposure](https://term.greeks.live/term/greeks-delta-gamma-exposure/)

Meaning ⎊ Greeks Delta Gamma Exposure defines the non-linear acceleration of risk and the reflexive hedging requirements that govern crypto market volatility. ⎊ Term

## [Order Book Greeks](https://term.greeks.live/term/order-book-greeks/)

Meaning ⎊ Order Book Greeks quantify the slippage-adjusted risk of crypto options by integrating the discrete, fragmented order book microstructure into classical risk sensitivities. ⎊ Term

## [Integration of Real-Time Greeks](https://term.greeks.live/term/integration-of-real-time-greeks/)

Meaning ⎊ Real-time Greek integration transforms derivative protocols into self-correcting risk engines by embedding instantaneous sensitivity metrics into execution. ⎊ Term

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

Meaning ⎊ On-Chain Greeks Calculation provides the mathematical transparency required to manage derivative risk within decentralized financial architectures. ⎊ Term

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

Meaning ⎊ Real-Time Greeks Calculation provides the high-frequency mathematical telemetry necessary for autonomous risk management and solvency in crypto markets. ⎊ Term

## [Greeks Based Portfolio Margin](https://term.greeks.live/term/greeks-based-portfolio-margin/)

Meaning ⎊ Greeks Based Portfolio Margin enhances capital efficiency by netting offsetting risk sensitivities across complex derivative instruments. ⎊ Term

## [Non-Linear Greeks](https://term.greeks.live/term/non-linear-greeks/)

Meaning ⎊ Non-Linear Greeks quantify the acceleration and cross-sensitivity of risk, providing the mathematical precision required to manage convex exposures. ⎊ Term

## [Option Greeks Calculation Efficiency](https://term.greeks.live/term/option-greeks-calculation-efficiency/)

Meaning ⎊ The Greeks Synthesis Engine is the hybrid computational architecture that balances the complexity of high-fidelity option pricing models against the cost and latency constraints of blockchain verification. ⎊ Term

---

## Raw Schema Data

```json
{
    "@context": "https://schema.org",
    "@type": "BreadcrumbList",
    "itemListElement": [
        {
            "@type": "ListItem",
            "position": 1,
            "name": "Home",
            "item": "https://term.greeks.live/"
        },
        {
            "@type": "ListItem",
            "position": 2,
            "name": "Area",
            "item": "https://term.greeks.live/area/"
        },
        {
            "@type": "ListItem",
            "position": 3,
            "name": "Monte Carlo Greeks",
            "item": "https://term.greeks.live/area/monte-carlo-greeks/"
        }
    ]
}
```

```json
{
    "@context": "https://schema.org",
    "@type": "FAQPage",
    "mainEntity": [
        {
            "@type": "Question",
            "name": "What is the Calculation of Monte Carlo Greeks?",
            "acceptedAnswer": {
                "@type": "Answer",
                "text": "Monte Carlo Greeks, within cryptocurrency options and financial derivatives, represent sensitivities derived through simulation, quantifying the potential change in an option’s price for a unit change in underlying parameters. These sensitivities—Delta, Gamma, Vega, Theta, and Rho—are estimated by repeatedly simulating future price paths of the underlying asset using random sampling, a process crucial given the often-complex payoff structures of exotic options prevalent in digital asset markets. The computational intensity of this approach is particularly relevant for path-dependent options, where analytical solutions are unavailable, and accurate risk assessment demands a robust simulation framework. Consequently, efficient implementation and variance reduction techniques are paramount for practical application in high-frequency trading environments."
            }
        },
        {
            "@type": "Question",
            "name": "What is the Adjustment of Monte Carlo Greeks?",
            "acceptedAnswer": {
                "@type": "Answer",
                "text": "The application of Monte Carlo Greeks necessitates frequent recalibration, especially in volatile cryptocurrency markets, as implied volatility surfaces and correlation structures are dynamic and non-stationary. Parameter adjustments, including volatility models and interest rate curves, directly impact the accuracy of the calculated Greeks, demanding continuous monitoring and refinement of the simulation inputs. Furthermore, model risk is a significant consideration, requiring validation against market data and potentially incorporating multiple models to account for uncertainty in the underlying asset’s behavior. Effective adjustment strategies are vital for maintaining the reliability of risk management systems and informed trading decisions."
            }
        },
        {
            "@type": "Question",
            "name": "What is the Algorithm of Monte Carlo Greeks?",
            "acceptedAnswer": {
                "@type": "Answer",
                "text": "The core algorithm underpinning Monte Carlo Greeks involves generating a large number of random price paths for the underlying asset, typically using Brownian motion or more sophisticated stochastic processes tailored to the specific asset’s characteristics. Each path simulates a possible future evolution of the asset’s price, and the option payoff is calculated for each path. The Greeks are then estimated as the sensitivity of the average payoff to changes in the input parameters, calculated through finite difference approximations or more advanced regression techniques. Optimizing this algorithm for speed and accuracy, including parallelization and variance reduction methods, is critical for real-time risk management and trading applications."
            }
        }
    ]
}
```

```json
{
    "@context": "https://schema.org",
    "@type": "CollectionPage",
    "headline": "Monte Carlo Greeks ⎊ Area ⎊ Greeks.live",
    "description": "Calculation ⎊ Monte Carlo Greeks, within cryptocurrency options and financial derivatives, represent sensitivities derived through simulation, quantifying the potential change in an option’s price for a unit change in underlying parameters. These sensitivities—Delta, Gamma, Vega, Theta, and Rho—are estimated by repeatedly simulating future price paths of the underlying asset using random sampling, a process crucial given the often-complex payoff structures of exotic options prevalent in digital asset markets.",
    "url": "https://term.greeks.live/area/monte-carlo-greeks/",
    "publisher": {
        "@type": "Organization",
        "name": "Greeks.live"
    },
    "hasPart": [
        {
            "@type": "Article",
            "@id": "https://term.greeks.live/term/greeks-calculation-circuits/",
            "url": "https://term.greeks.live/term/greeks-calculation-circuits/",
            "headline": "Greeks Calculation Circuits",
            "description": "Meaning ⎊ Greeks Calculation Circuits provide the computational architecture for real-time risk sensitivity analysis in decentralized derivative markets. ⎊ Term",
            "datePublished": "2026-02-28T10:32:52+00:00",
            "dateModified": "2026-02-28T10:32:52+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/decentralized-algorithmic-execution-engine-for-options-payoff-structure-collateralization-and-volatility-hedging.jpg",
                "width": 3850,
                "height": 2166,
                "caption": "The image showcases a high-tech mechanical cross-section, highlighting a green finned structure and a complex blue and bronze gear assembly nested within a white housing. Two parallel, dark blue rods extend from the core mechanism."
            }
        },
        {
            "@type": "Article",
            "@id": "https://term.greeks.live/term/derivative-pricing-greeks/",
            "url": "https://term.greeks.live/term/derivative-pricing-greeks/",
            "headline": "Derivative Pricing Greeks",
            "description": "Meaning ⎊ Derivative Pricing Greeks provide the requisite mathematical framework for quantifying and hedging non-linear risk in decentralized digital markets. ⎊ Term",
            "datePublished": "2026-02-27T11:30:59+00:00",
            "dateModified": "2026-02-27T11:32:32+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/decentralized-finance-architecture-visualizing-automated-market-maker-interoperability-and-derivative-pricing-mechanisms.jpg",
                "width": 3850,
                "height": 2166,
                "caption": "An abstract 3D render displays a complex, stylized object composed of interconnected geometric forms. The structure transitions from sharp, layered blue elements to a prominent, glossy green ring, with off-white components integrated into the blue section."
            }
        },
        {
            "@type": "Article",
            "@id": "https://term.greeks.live/term/options-pricing-greeks-adjustment/",
            "url": "https://term.greeks.live/term/options-pricing-greeks-adjustment/",
            "headline": "Options Pricing Greeks Adjustment",
            "description": "Meaning ⎊ Options Pricing Greeks Adjustment recalibrates risk sensitivities to align theoretical models with the extreme volatility and skew of crypto markets. ⎊ Term",
            "datePublished": "2026-02-27T11:02:45+00:00",
            "dateModified": "2026-02-27T11:04:39+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-collateralization-mechanism-for-decentralized-perpetual-swaps-and-automated-liquidity-provision.jpg",
                "width": 3850,
                "height": 2166,
                "caption": "A 3D cutaway visualization displays the intricate internal components of a precision mechanical device, featuring gears, shafts, and a cylindrical housing. The design highlights the interlocking nature of multiple gears within a confined system."
            }
        },
        {
            "@type": "Article",
            "@id": "https://term.greeks.live/term/high-frequency-greeks-calculation/",
            "url": "https://term.greeks.live/term/high-frequency-greeks-calculation/",
            "headline": "High-Frequency Greeks Calculation",
            "description": "Meaning ⎊ High-Frequency Greeks Calculation provides real-time sensitivity metrics to maintain solvency in volatile, 24/7 decentralized derivative markets. ⎊ Term",
            "datePublished": "2026-02-16T09:22:39+00:00",
            "dateModified": "2026-02-16T09:23:50+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/quantitative-trading-algorithm-high-frequency-execution-engine-monitoring-derivatives-liquidity-pools.jpg",
                "width": 3850,
                "height": 2166,
                "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."
            }
        },
        {
            "@type": "Article",
            "@id": "https://term.greeks.live/term/greeks-in-stress-conditions/",
            "url": "https://term.greeks.live/term/greeks-in-stress-conditions/",
            "headline": "Greeks in Stress Conditions",
            "description": "Meaning ⎊ Greeks in Stress Conditions quantify the non-linear acceleration of risk sensitivities that trigger systemic feedback loops during market crises. ⎊ Term",
            "datePublished": "2026-02-11T21:27:08+00:00",
            "dateModified": "2026-02-11T21:35:23+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/interacting-layers-of-collateralized-defi-primitives-and-continuous-options-trading-dynamics.jpg",
                "width": 3850,
                "height": 2166,
                "caption": "A high-angle, close-up view presents an abstract design featuring multiple curved, parallel layers nested within a blue tray-like structure. The layers consist of a matte beige form, a glossy metallic green layer, and two darker blue forms, all flowing in a wavy pattern within the channel."
            }
        },
        {
            "@type": "Article",
            "@id": "https://term.greeks.live/term/greeks-delta-gamma-exposure/",
            "url": "https://term.greeks.live/term/greeks-delta-gamma-exposure/",
            "headline": "Greeks Delta Gamma Exposure",
            "description": "Meaning ⎊ Greeks Delta Gamma Exposure defines the non-linear acceleration of risk and the reflexive hedging requirements that govern crypto market volatility. ⎊ Term",
            "datePublished": "2026-02-11T20:38:27+00:00",
            "dateModified": "2026-02-11T20:39:53+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/complex-decentralized-finance-structured-products-intertwined-asset-bundling-risk-exposure-visualization.jpg",
                "width": 3850,
                "height": 2166,
                "caption": "A close-up view reveals a tightly wound bundle of cables, primarily deep blue, intertwined with thinner strands of light beige, lighter blue, and a prominent bright green. The entire structure forms a dynamic, wave-like twist, suggesting complex motion and interconnected components."
            }
        },
        {
            "@type": "Article",
            "@id": "https://term.greeks.live/term/order-book-greeks/",
            "url": "https://term.greeks.live/term/order-book-greeks/",
            "headline": "Order Book Greeks",
            "description": "Meaning ⎊ Order Book Greeks quantify the slippage-adjusted risk of crypto options by integrating the discrete, fragmented order book microstructure into classical risk sensitivities. ⎊ Term",
            "datePublished": "2026-02-08T18:48:28+00:00",
            "dateModified": "2026-02-08T20:05:31+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/intricate-financial-derivative-engineering-visualization-revealing-core-smart-contract-parameters-and-volatility-surface-mechanism.jpg",
                "width": 3850,
                "height": 2166,
                "caption": "A three-dimensional render displays a complex mechanical component where a dark grey spherical casing is cut in half, revealing intricate internal gears and a central shaft. A central axle connects the two separated casing halves, extending to a bright green core on one side and a pale yellow cone-shaped component on the other."
            }
        },
        {
            "@type": "Article",
            "@id": "https://term.greeks.live/term/integration-of-real-time-greeks/",
            "url": "https://term.greeks.live/term/integration-of-real-time-greeks/",
            "headline": "Integration of Real-Time Greeks",
            "description": "Meaning ⎊ Real-time Greek integration transforms derivative protocols into self-correcting risk engines by embedding instantaneous sensitivity metrics into execution. ⎊ Term",
            "datePublished": "2026-02-06T14:08:41+00:00",
            "dateModified": "2026-02-06T14:09:18+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/algorithmic-black-scholes-model-derivative-pricing-mechanics-for-high-frequency-quantitative-trading-transparency.jpg",
                "width": 3850,
                "height": 2166,
                "caption": "A close-up view shows a dark, curved object with a precision cutaway revealing its internal mechanics. The cutaway section is illuminated by a vibrant green light, highlighting complex metallic gears and shafts within a sleek, futuristic design."
            }
        },
        {
            "@type": "Article",
            "@id": "https://term.greeks.live/term/on-chain-greeks-calculation/",
            "url": "https://term.greeks.live/term/on-chain-greeks-calculation/",
            "headline": "On-Chain Greeks Calculation",
            "description": "Meaning ⎊ On-Chain Greeks Calculation provides the mathematical transparency required to manage derivative risk within decentralized financial architectures. ⎊ Term",
            "datePublished": "2026-02-05T17:30:34+00:00",
            "dateModified": "2026-02-05T18:08:52+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/dynamic-modeling-of-layered-structured-products-options-greeks-volatility-exposure-and-derivative-pricing-complexity.jpg",
                "width": 3850,
                "height": 2166,
                "caption": "This abstract visualization features smoothly flowing layered forms in a color palette dominated by dark blue, bright green, and beige. The composition creates a sense of dynamic depth, suggesting intricate pathways and nested structures."
            }
        },
        {
            "@type": "Article",
            "@id": "https://term.greeks.live/term/real-time-greeks-calculation/",
            "url": "https://term.greeks.live/term/real-time-greeks-calculation/",
            "headline": "Real-Time Greeks Calculation",
            "description": "Meaning ⎊ Real-Time Greeks Calculation provides the high-frequency mathematical telemetry necessary for autonomous risk management and solvency in crypto markets. ⎊ Term",
            "datePublished": "2026-02-04T00:30:14+00:00",
            "dateModified": "2026-02-04T00:30:59+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-smart-contract-interoperability-and-defi-derivatives-ecosystems-for-automated-trading.jpg",
                "width": 3850,
                "height": 2166,
                "caption": "The image displays a cross-section of a futuristic mechanical sphere, revealing intricate internal components. A set of interlocking gears and a central glowing green mechanism are visible, encased within the cut-away structure."
            }
        },
        {
            "@type": "Article",
            "@id": "https://term.greeks.live/term/greeks-based-portfolio-margin/",
            "url": "https://term.greeks.live/term/greeks-based-portfolio-margin/",
            "headline": "Greeks Based Portfolio Margin",
            "description": "Meaning ⎊ Greeks Based Portfolio Margin enhances capital efficiency by netting offsetting risk sensitivities across complex derivative instruments. ⎊ Term",
            "datePublished": "2026-02-03T06:59:02+00:00",
            "dateModified": "2026-02-03T07:00:27+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/algorithmic-black-scholes-model-derivative-pricing-mechanics-for-high-frequency-quantitative-trading-transparency.jpg",
                "width": 3850,
                "height": 2166,
                "caption": "A close-up view shows a dark, curved object with a precision cutaway revealing its internal mechanics. The cutaway section is illuminated by a vibrant green light, highlighting complex metallic gears and shafts within a sleek, futuristic design."
            }
        },
        {
            "@type": "Article",
            "@id": "https://term.greeks.live/term/non-linear-greeks/",
            "url": "https://term.greeks.live/term/non-linear-greeks/",
            "headline": "Non-Linear Greeks",
            "description": "Meaning ⎊ Non-Linear Greeks quantify the acceleration and cross-sensitivity of risk, providing the mathematical precision required to manage convex exposures. ⎊ Term",
            "datePublished": "2026-02-02T08:39:14+00:00",
            "dateModified": "2026-02-02T08:41:27+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/algorithmic-risk-management-precision-engine-for-real-time-volatility-surface-analysis-and-synthetic-asset-pricing.jpg",
                "width": 3850,
                "height": 2166,
                "caption": "A high-tech module is featured against a dark background. The object displays a dark blue exterior casing and a complex internal structure with a bright green lens and cylindrical components."
            }
        },
        {
            "@type": "Article",
            "@id": "https://term.greeks.live/term/option-greeks-calculation-efficiency/",
            "url": "https://term.greeks.live/term/option-greeks-calculation-efficiency/",
            "headline": "Option Greeks Calculation Efficiency",
            "description": "Meaning ⎊ The Greeks Synthesis Engine is the hybrid computational architecture that balances the complexity of high-fidelity option pricing models against the cost and latency constraints of blockchain verification. ⎊ Term",
            "datePublished": "2026-02-01T13:42:47+00:00",
            "dateModified": "2026-02-01T13:44:20+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/decentralized-perpetual-futures-liquidity-pool-engine-simulating-options-greeks-volatility-and-risk-management.jpg",
                "width": 3850,
                "height": 2166,
                "caption": "A high-angle view of a futuristic mechanical component in shades of blue, white, and dark blue, featuring glowing green accents. The object has multiple cylindrical sections and a lens-like element at the front."
            }
        }
    ],
    "image": {
        "@type": "ImageObject",
        "url": "https://term.greeks.live/wp-content/uploads/2025/12/decentralized-algorithmic-execution-engine-for-options-payoff-structure-collateralization-and-volatility-hedging.jpg"
    }
}
```


---

**Original URL:** https://term.greeks.live/area/monte-carlo-greeks/