Paper: arXiv 2512.19821

Authors: Fabien Le Floc’h

Abstract

Based on the existing literature, this article presents the different ways of choosing the parameters of stochastic volatility models in general, in the context of pricing financial derivative contracts. This includes the use of stochastic volatility inside stochastic local volatility models.

Complexity vs Empirical Score

  • Math Complexity: 9.0/10
  • Empirical Rigor: 2.0/10
  • Quadrant: Lab Rats — theoretically deep, empirically untested

Why this score: The paper presents advanced stochastic differential equations (SDEs) and derivations for multiple SV models, indicating high mathematical density, but it is a review article with no datasets, backtests, or implementation details for practical trading.

Research Flowchart

  flowchart TD
  RQ["Research Question<br>How to choose SV parameters?"] --> Input["Data: Derivative Pricing Context<br>SV & SVSLV Models"]
  Input --> Method["Methodology: Literature Review"]
  Method --> Comp["Computation: Parameter Estimation<br>via ML, GMM, MCMC"]
  Comp --> Out["Findings: Parameter Selection<br>Guidelines & Outcomes"]