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 BTC, ETH, and altcoin options volatility surfaces, including butterfly checks, calendar checks, and fit diagnostics.

Audience
trader / quant / engineer
Published
Outcome
Understand arb constraints in the live Derivasys product and surface workflow.
SVI arbitrage constraints.

03 / Model guide

What is SSVI?

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

Audience
quant / engineer
Published
Outcome
Understand what is SSVI and connect it to fitted surface state.
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
Published
Outcome
Understand SABR and SABRE model meaning and formula and connect it to fitted surface state.
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
Published
Outcome
Understand what is local volatility and the Dupire formula and connect it to fitted surface state.
What is local volatility?