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Volatility Surface Construction and Analysis

Calibrate SVI/SSVI or SABR models to market implied volatility data.

10|2|Updated Mar 14, 2026
Search Tags:#calibration#risk-management#volatility#arbitrage#sabr#implied-volatility#svi
One-click install
npx skills add https://github.com/brainbytes-dev/everything-claude-trading --skill volatility-surface-construction-and-analysis
Or copy as Structured Prompt for Agent▼
Please help me install this Agent Skill.
Skill: Volatility Surface Construction and Analysis
Source: https://github.com/brainbytes-dev/everything-claude-trading/tree/main/skills/derivatives/vol-surfaces
Command: npx skills add https://github.com/brainbytes-dev/everything-claude-trading --skill volatility-surface-construction-and-analysis

SYSTEM DOCUMENTATION & REQUIREMENTS

What problem does it solve?

Constructing and calibrating reliable implied volatility surfaces is complex and error-prone; this skill provides a structured framework to fit SVI/SSVI or SABR models to market IVs, check for static and calendar arbitrage, and generate a usable surface for hedging and pricing.

Core Features & Use Cases

  • SVI/SSVI and SABR calibration to market IV quotes
  • Arbitrage detection (butterfly and calendar spread) and diagnostics
  • Surface dynamics analysis (sticky strike vs sticky delta) and hedging implications
  • Output of a calibrated vol surface with diagnostics for portfolio pricing and risk management
  • Use case: calibrate SPX options surface and analyze hedging performance

Quick Start

Provide market IV quotes to calibrate the vol surface and generate a calibrated surface with diagnostics.

Frequently Asked Questions about Volatility Surface Construction and Analysis

High-intent search queries and answers about installing and using this skill.

FAQPage Schema
How do I calibrate an implied volatility surface from market option quotes?▼

You calibrate an implied volatility surface by fitting SVI, SSVI, or SABR models directly to market IV quotes. This requires robust calibration routines and generates a validated, usable surface for pricing.

Why does my volatility surface have butterfly and calendar spread arbitrage?▼

Volatility surface arbitrage arises when model fitting introduces pricing inconsistencies. This skill checks for butterfly and calendar spread arbitrage during calibration, enforcing constraints to ensure a valid surface.

What is the difference between sticky strike and sticky delta surface dynamics?▼

Sticky strike and sticky delta dynamics define how implied volatility shifts relative to underlying price changes. This skill analyzes these surface dynamics to evaluate hedging implications for your options portfolio.

Can I use SABR and SVI models for SPX options surface calibration?▼

Yes, SABR and SVI or SSVI models are supported for calibrating SPX options surfaces. You supply market IV quotes to generate a calibrated surface and analyze hedging performance.

Do I need market IV data to construct a volatility surface?▼

Yes, market IV data is required to construct and calibrate the volatility surface. The calibration routines use this input to fit models and output diagnostics for risk management.

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