Models / calibration

Models and calibration for volatility surfaces.

These guides focus on formulas, parameter meaning, calibration diagnostics, no-arbitrage controls, failure modes, and the difference between fitting a market surface and specifying its dynamics.

Reading paths

Choose the outcome you need.

Conceptual order

Read the collection in a useful sequence.

Order here reflects prerequisites and learning outcome, not publication date.

02 / Product documentation

SVI arbitrage constraints.

How Derivasys monitors SVI no-arbitrage constraints for live Bitcoin and Ethereum options volatility surfaces, including butterfly, calendar, slope, and fit diagnostics.

Audience
trader / quant / engineer
Updated
Outcome
Distinguish butterfly, calendar and slope constraint failures from ordinary changes in a fitted term structure.
SVI arbitrage constraints.

03 / Model guide

What is SSVI?

A practical SSVI guide for crypto options volatility surfaces: Surface SVI meaning, formula, parameters, no-arbitrage checks, SVI comparison, and dashboard workflow.

Audience
quant / engineer
Updated
Outcome
Relate SSVI's theta, rho and phi terms to a full surface and distinguish calendar or butterfly warnings from ordinary term-structure moves.
What is SSVI?

04 / Model guide

What is the SABR/SABRE model?

SABR/SABRE model guide: Stochastic Alpha Beta Rho meaning, Hagan formula intuition, alpha beta rho nu parameters, calibration, and SABR versus SVI.

Audience
quant / trader
Updated
Outcome
Explain how alpha, beta, rho and nu move a SABR smile and decide when SABR dynamics answer a different question from an SVI fit.
What is the SABR/SABRE model?

05 / Model guide

What is local volatility?

A practical local volatility guide for crypto options: Dupire formula, implied volatility surface inputs, SVI and SSVI comparison, diagnostics, and dashboard workflow.

Audience
quant / engineer
Updated
Outcome
Read the Dupire inputs and identify surface smoothness or denominator failures that make a local-volatility value unsafe to publish.
What is local volatility?

06 / Model guide

What is rough volatility?

An evergreen rough-volatility guide covering roughness intuition, the Hurst parameter, rough Bergomi, implied-surface relationships, and model limitations.

Audience
quant / engineer / trader
Updated
Outcome
Explain what the Hurst parameter means, how rough Bergomi adds dynamics to an implied surface, and where the model can fail at short tenors.
What is rough volatility?