# Parametric Value at Risk ⎊ Area ⎊ Resource 1 --- ## What is the Value of Parametric Value at Risk? Parametric Value at Risk (PVaR) represents a sophisticated risk measurement technique, particularly relevant within cryptocurrency markets and derivatives trading, offering an alternative to traditional VaR models. It estimates the maximum potential loss within a given confidence level, but instead of relying on historical data or distributional assumptions, PVaR employs a parametric approach. This involves specifying a mathematical function to model the underlying asset's price behavior, allowing for greater flexibility and potentially improved accuracy, especially when dealing with the unique characteristics of crypto assets. Consequently, PVaR provides a more granular understanding of downside risk exposure. ## What is the Calculation of Parametric Value at Risk? The calculation of PVaR typically begins with defining a probability level, such as 95% or 99%, representing the confidence that losses will not exceed the calculated value. Subsequently, a parametric distribution, like a normal or Student's t-distribution, is fitted to the asset's price data or derived from a pricing model. The PVaR is then determined as the loss amount corresponding to the specified probability level within this fitted distribution, effectively quantifying the potential maximum loss under the assumed parametric model. This process requires careful consideration of model selection and parameter estimation to ensure the PVaR accurately reflects the risk profile. ## What is the Application of Parametric Value at Risk? In cryptocurrency options trading and financial derivatives, PVaR finds application in portfolio risk management, regulatory capital calculations, and stress testing. Its parametric nature allows for incorporating complex features of crypto assets, such as volatility skew and kurtosis, which are often poorly captured by traditional VaR methods. Furthermore, PVaR can be used to optimize trading strategies by identifying and mitigating potential downside risks, contributing to more robust and informed decision-making within the volatile crypto market environment. The ability to model non-normality is particularly valuable in this context. --- ## [Maximum Extractable Value](https://term.greeks.live/definition/maximum-extractable-value/) The potential profit gained by reordering or censoring transactions within a block at the expense of other users. ⎊ Definition ## [Maximal Extractable Value](https://term.greeks.live/definition/maximal-extractable-value/) Profit gained by validators or bots through the strategic ordering or manipulation of pending transactions in a block. ⎊ Definition ## [Value Accrual](https://term.greeks.live/definition/value-accrual/) The process by which protocol revenue and network growth are captured and reflected in the value of a native token. ⎊ Definition ## [Value-at-Risk](https://term.greeks.live/definition/value-at-risk/) A statistical metric estimating the maximum potential loss of an investment over a set time at a given confidence level. ⎊ Definition ## [Miner Extractable Value](https://term.greeks.live/definition/miner-extractable-value/) The potential profit validators gain by manipulating transaction order within a block to their own financial advantage. ⎊ Definition ## [Conditional Value-at-Risk](https://term.greeks.live/term/conditional-value-at-risk/) Meaning ⎊ Conditional Value-at-Risk measures expected loss beyond a specified threshold, providing a crucial tool for managing tail risk in high-volatility crypto options markets. ⎊ Definition ## [Collateral Value](https://term.greeks.live/definition/collateral-value/) The effective credit-providing value of an asset when used to secure a loan or margin position. ⎊ Definition ## [Extrinsic Value](https://term.greeks.live/definition/extrinsic-value/) The portion of an option's price determined by time remaining and volatility rather than the underlying asset's price. ⎊ Definition ## [Intrinsic Value](https://term.greeks.live/definition/intrinsic-value/) The immediate value of an option if exercised today, based on the difference between strike and asset price. ⎊ Definition ## [Time Value](https://term.greeks.live/definition/time-value/) The part of an option's price that reflects the potential for future value before expiration. ⎊ Definition ## [Time Value Decay](https://term.greeks.live/definition/time-value-decay/) The steady erosion of an option premium as it approaches expiration, accelerating significantly in the final days. ⎊ Definition ## [Intrinsic Value Calculation](https://term.greeks.live/definition/intrinsic-value-calculation/) The mathematical determination of an option's base worth by comparing the current market price to the strike price. ⎊ Definition ## [Value Accrual Mechanisms](https://term.greeks.live/definition/value-accrual-mechanisms/) The economic features designed to link the success and usage of a protocol to its native token's value. ⎊ 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 ## [Extreme Value Theory](https://term.greeks.live/definition/extreme-value-theory/) A statistical framework specifically designed to analyze and predict the likelihood of extreme, rare market outcomes. ⎊ Definition ## [Value Extraction](https://term.greeks.live/definition/value-extraction/) The systematic capture of economic surplus from market inefficiencies, protocol design flaws, or information asymmetries. ⎊ Definition ## [Parametric Insurance](https://term.greeks.live/definition/parametric-insurance/) Insurance that automatically pays out when a predefined objective event occurs, verified by a decentralized data oracle. ⎊ Definition ## [Value Accrual Models](https://term.greeks.live/definition/value-accrual-models/) Economic structures that allow a crypto token to capture value from the protocol's usage, fees, or utility. ⎊ Definition ## [Collateral Value Feedback Loops](https://term.greeks.live/term/collateral-value-feedback-loops/) Meaning ⎊ Collateral Value Feedback Loops describe how a drop in an asset's price reduces collateral value, triggering liquidations that further accelerate the price decline. ⎊ Definition ## [Time Value of Money](https://term.greeks.live/definition/time-value-of-money/) The principle that money available today has greater value than the same amount in the future due to earning potential. ⎊ Definition ## [Trustless Value Transfer](https://term.greeks.live/term/trustless-value-transfer/) Meaning ⎊ Trustless Value Transfer enables automated, secure, and permissionless exchange of risk and collateral via smart contracts, eliminating reliance on centralized intermediaries. ⎊ Definition ## [Loan-to-Value Ratio](https://term.greeks.live/definition/loan-to-value-ratio/) The percentage of a loan relative to the market value of the collateral securing that loan. ⎊ Definition ## [Time Value Erosion](https://term.greeks.live/definition/time-value-erosion/) The systematic loss of an option's extrinsic value as the remaining time until expiration continuously diminishes. ⎊ Definition ## [Theoretical Fair Value](https://term.greeks.live/term/theoretical-fair-value/) Meaning ⎊ Theoretical Fair Value in crypto options quantifies the expected, risk-adjusted price based on volatility, time decay, and market risk. ⎊ Definition ## [Value at Risk Limitations](https://term.greeks.live/definition/value-at-risk-limitations/) The inherent weaknesses of VaR in failing to account for extreme tail events and liquidity evaporation in markets. ⎊ Definition ## [Time Value of Money Calculations](https://term.greeks.live/term/time-value-of-money-calculations/) Meaning ⎊ Time Value of Money calculations in crypto options quantify the opportunity cost of collateral by integrating dynamic DeFi yields into the option premium. ⎊ Definition ## [Long-Term Value Accrual](https://term.greeks.live/term/long-term-value-accrual/) Meaning ⎊ Long-term value accrual in crypto options involves systematically harvesting market risk premiums by acting as an automated insurance provider rather than a short-term speculator. ⎊ Definition ## [Notional Value](https://term.greeks.live/definition/notional-value/) The total market value of the assets underlying a derivative contract used to measure total financial exposure. ⎊ Definition ## [Gas Adjusted Options Value](https://term.greeks.live/term/gas-adjusted-options-value/) Meaning ⎊ Gas Adjusted Options Value quantifies the net economic worth of on-chain derivatives by integrating variable transaction costs into pricing models. ⎊ Definition ## [Value-at-Risk Transaction Cost](https://term.greeks.live/term/value-at-risk-transaction-cost/) Meaning ⎊ Value-at-Risk Transaction Cost integrates dynamic execution friction and network settlement overhead into traditional risk metrics for crypto derivatives. ⎊ 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": "Parametric Value at Risk", "item": "https://term.greeks.live/area/parametric-value-at-risk/" }, { "@type": "ListItem", "position": 4, "name": "Resource 1", "item": "https://term.greeks.live/area/parametric-value-at-risk/resource/1/" } ] } ``` ```json { "@context": "https://schema.org", "@type": "FAQPage", "mainEntity": [ { "@type": "Question", "name": "What is the Value of Parametric Value at Risk?", "acceptedAnswer": { "@type": "Answer", "text": "Parametric Value at Risk (PVaR) represents a sophisticated risk measurement technique, particularly relevant within cryptocurrency markets and derivatives trading, offering an alternative to traditional VaR models. 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The contrast between these two elements is central to the image composition." } }, { "@type": "Article", "@id": "https://term.greeks.live/definition/extreme-value-theory/", "url": "https://term.greeks.live/definition/extreme-value-theory/", "headline": "Extreme Value Theory", "description": "A statistical framework specifically designed to analyze and predict the likelihood of extreme, rare market outcomes. ⎊ Definition", "datePublished": "2025-12-14T10:44:53+00:00", "dateModified": "2026-04-13T17:31:36+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-risk-management-algorithm-predictive-modeling-engine-for-options-market-volatility.jpg", "width": 3850, "height": 2166, "caption": "A futuristic device featuring a glowing green core and intricate mechanical components inside a cylindrical housing, set against a dark, minimalist background. 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A prominent white sphere and a luminescent green ring add focal points to the intricate structure." } }, { "@type": "Article", "@id": "https://term.greeks.live/definition/parametric-insurance/", "url": "https://term.greeks.live/definition/parametric-insurance/", "headline": "Parametric Insurance", "description": "Insurance that automatically pays out when a predefined objective event occurs, verified by a decentralized data oracle. ⎊ Definition", "datePublished": "2025-12-15T08:54:15+00:00", "dateModified": "2026-04-01T05:43:45+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-representation-layered-financial-derivative-complexity-risk-tranches-collateralization-mechanisms-smart-contract-execution.jpg", "width": 3850, "height": 2166, "caption": "A stylized, high-tech illustration shows the cross-section of a layered cylindrical structure. The layers are depicted as concentric rings of varying thickness and color, progressing from a dark outer shell to inner layers of blue, cream, and a bright green core." } }, { "@type": "Article", "@id": "https://term.greeks.live/definition/value-accrual-models/", "url": "https://term.greeks.live/definition/value-accrual-models/", "headline": "Value Accrual Models", "description": "Economic structures that allow a crypto token to capture value from the protocol's usage, fees, or utility. ⎊ Definition", "datePublished": "2025-12-15T09:02:44+00:00", "dateModified": "2026-04-14T22:14:53+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/sequential-execution-logic-and-multi-layered-risk-collateralization-within-decentralized-finance-perpetual-futures-and-options-tranche-models.jpg", "width": 3850, "height": 2166, "caption": "The visual features a series of interconnected, smooth, ring-like segments in a vibrant color gradient, including deep blue, bright green, and off-white against a dark background. The perspective creates a sense of continuous flow and progression from one element to the next, emphasizing the sequential nature of the structure." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/collateral-value-feedback-loops/", "url": "https://term.greeks.live/term/collateral-value-feedback-loops/", "headline": "Collateral Value Feedback Loops", "description": "Meaning ⎊ Collateral Value Feedback Loops describe how a drop in an asset's price reduces collateral value, triggering liquidations that further accelerate the price decline. ⎊ Definition", "datePublished": "2025-12-16T08:18:00+00:00", "dateModified": "2025-12-16T08:18:00+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/an-intricate-defi-derivatives-protocol-structure-safeguarding-underlying-collateralized-assets-within-a-total-value-locked-framework.jpg", "width": 3850, "height": 2166, "caption": "A close-up view reveals a complex, porous, dark blue geometric structure with flowing lines. Inside the hollowed framework, a light-colored sphere is partially visible, and a bright green, glowing element protrudes from a large aperture." } }, { "@type": "Article", "@id": "https://term.greeks.live/definition/time-value-of-money/", "url": "https://term.greeks.live/definition/time-value-of-money/", "headline": "Time Value of Money", "description": "The principle that money available today has greater value than the same amount in the future due to earning potential. ⎊ Definition", "datePublished": "2025-12-16T10:39:42+00:00", "dateModified": "2026-03-29T10:00:27+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/decentralized-finance-options-tranches-dynamic-rebalancing-engine-for-automated-risk-stratification.jpg", "width": 3850, "height": 2166, "caption": "A series of colorful, layered discs or plates are visible through an opening in a dark blue surface. The discs are stacked side-by-side, exhibiting undulating, non-uniform shapes and colors including dark blue, cream, and bright green." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/trustless-value-transfer/", "url": "https://term.greeks.live/term/trustless-value-transfer/", "headline": "Trustless Value Transfer", "description": "Meaning ⎊ Trustless Value Transfer enables automated, secure, and permissionless exchange of risk and collateral via smart contracts, eliminating reliance on centralized intermediaries. ⎊ Definition", "datePublished": "2025-12-20T10:01:40+00:00", "dateModified": "2025-12-20T10:01:40+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/a-multi-layered-collateralization-structure-visualization-in-decentralized-finance-protocol-architecture.jpg", "width": 3850, "height": 2166, "caption": "The abstract artwork features a central, multi-layered ring structure composed of green, off-white, and black concentric forms. This structure is set against a flowing, deep blue, undulating background that creates a sense of depth and movement." } }, { "@type": "Article", "@id": "https://term.greeks.live/definition/loan-to-value-ratio/", "url": "https://term.greeks.live/definition/loan-to-value-ratio/", "headline": "Loan-to-Value Ratio", "description": "The percentage of a loan relative to the market value of the collateral securing that loan. ⎊ Definition", "datePublished": "2025-12-21T09:32:05+00:00", "dateModified": "2026-04-14T04:58:43+00:00", "author": { "@type": "Person", "name": "Greeks.live", "url": "https://term.greeks.live/author/greeks-live/" }, "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/decentralized-finance-automated-market-maker-smart-contract-logic-and-collateralization-ratio-mechanism.jpg", "width": 3850, "height": 2166, "caption": "A detailed abstract image shows a blue orb-like object within a white frame, embedded in a dark blue, curved surface. A vibrant green arc illuminates the bottom edge of the central orb." } }, { "@type": "Article", "@id": "https://term.greeks.live/definition/time-value-erosion/", "url": "https://term.greeks.live/definition/time-value-erosion/", "headline": "Time Value Erosion", "description": "The systematic loss of an option's extrinsic value as the remaining time until expiration continuously diminishes. ⎊ Definition", "datePublished": "2025-12-21T10:02:09+00:00", "dateModified": "2026-03-31T03:42:31+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/analyzing-decentralized-finance-protocol-layers-for-cross-chain-interoperability-and-risk-management-strategies.jpg", "width": 3850, "height": 2166, "caption": "The abstract image displays a close-up view of a dark blue, curved structure revealing internal layers of white and green. The high-gloss finish highlights the smooth curves and distinct separation between the different colored components." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/theoretical-fair-value/", "url": "https://term.greeks.live/term/theoretical-fair-value/", "headline": "Theoretical Fair Value", "description": "Meaning ⎊ Theoretical Fair Value in crypto options quantifies the expected, risk-adjusted price based on volatility, time decay, and market risk. ⎊ Definition", "datePublished": "2025-12-21T10:59:36+00:00", "dateModified": "2026-01-04T19:23:17+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/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." } }, { "@type": "Article", "@id": "https://term.greeks.live/definition/value-at-risk-limitations/", "url": "https://term.greeks.live/definition/value-at-risk-limitations/", "headline": "Value at Risk Limitations", "description": "The inherent weaknesses of VaR in failing to account for extreme tail events and liquidity evaporation in markets. ⎊ Definition", "datePublished": "2025-12-22T09:49:04+00:00", "dateModified": "2026-04-13T17:30:09+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/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/time-value-of-money-calculations/", "url": "https://term.greeks.live/term/time-value-of-money-calculations/", "headline": "Time Value of Money Calculations", "description": "Meaning ⎊ Time Value of Money calculations in crypto options quantify the opportunity cost of collateral by integrating dynamic DeFi yields into the option premium. ⎊ Definition", "datePublished": "2025-12-22T11:14:06+00:00", "dateModified": "2025-12-22T11:14:06+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-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." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/long-term-value-accrual/", "url": "https://term.greeks.live/term/long-term-value-accrual/", "headline": "Long-Term Value Accrual", "description": "Meaning ⎊ Long-term value accrual in crypto options involves systematically harvesting market risk premiums by acting as an automated insurance provider rather than a short-term speculator. ⎊ Definition", "datePublished": "2025-12-23T09:11:51+00:00", "dateModified": "2025-12-23T09:11:51+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-interdependent-liquidity-positions-and-complex-option-structures-in-defi.jpg", "width": 3850, "height": 2166, "caption": "A dynamically composed abstract artwork featuring multiple interwoven geometric forms in various colors, including bright green, light blue, white, and dark blue, set against a dark, solid background. The forms are interlocking and create a sense of movement and complex structure." } }, { "@type": "Article", "@id": "https://term.greeks.live/definition/notional-value/", "url": "https://term.greeks.live/definition/notional-value/", "headline": "Notional Value", "description": "The total market value of the assets underlying a derivative contract used to measure total financial exposure. ⎊ Definition", "datePublished": "2025-12-23T09:17:42+00:00", "dateModified": "2026-04-14T06:45:39+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/visualizing-nested-derivative-structures-and-liquidity-aggregation-dynamics-in-decentralized-finance-protocol-layers.jpg", "width": 3850, "height": 2166, "caption": "A high-angle, close-up view of abstract, concentric layers resembling stacked bowls, in a gradient of colors from light green to deep blue. A bright green cylindrical object rests on the edge of one layer, contrasting with the dark background and central spiral." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/gas-adjusted-options-value/", "url": "https://term.greeks.live/term/gas-adjusted-options-value/", "headline": "Gas Adjusted Options Value", "description": "Meaning ⎊ Gas Adjusted Options Value quantifies the net economic worth of on-chain derivatives by integrating variable transaction costs into pricing models. ⎊ Definition", "datePublished": "2026-01-10T11:04:26+00:00", "dateModified": "2026-01-10T11:06:00+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-layered-architecture-visualizing-automated-market-maker-tranches-and-synthetic-asset-collateralization.jpg", "width": 3850, "height": 2166, "caption": "A close-up view shows a stylized, multi-layered device featuring stacked elements in varying shades of blue, cream, and green within a dark blue casing. A bright green wheel component is visible at the lower section of the device." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/value-at-risk-transaction-cost/", "url": "https://term.greeks.live/term/value-at-risk-transaction-cost/", "headline": "Value-at-Risk Transaction Cost", "description": "Meaning ⎊ Value-at-Risk Transaction Cost integrates dynamic execution friction and network settlement overhead into traditional risk metrics for crypto derivatives. ⎊ Definition", "datePublished": "2026-01-29T19:32:59+00:00", "dateModified": "2026-01-29T19:42:13+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/dissection-of-structured-derivatives-collateral-risk-assessment-and-intrinsic-value-extraction-in-defi-protocols.jpg", "width": 3850, "height": 2166, "caption": "A conceptual render displays a cutaway view of a mechanical sphere, resembling a futuristic planet with rings, resting on a pile of dark gravel-like fragments. The sphere's cross-section reveals an internal structure with a glowing green core." } } ], "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/an-intricate-defi-derivatives-protocol-structure-safeguarding-underlying-collateralized-assets-within-a-total-value-locked-framework.jpg" } } ``` --- **Original URL:** https://term.greeks.live/area/parametric-value-at-risk/resource/1/