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Hybrid LSV & stochastic rates

Numerical work around equity derivatives models combining local stochastic volatility, stochastic interest rates and calibration-oriented simulation methods.

Problem

Equity derivatives models must reconcile implied volatility surfaces, rate dynamics and numerical tractability. Hybrid models can become fragile when calibration and simulation errors interact.

Approach

The focus is on clear model assumptions, simulation diagnostics, calibration stability and implementation choices that make numerical experiments reproducible.

Technical Focus

  • Local stochastic volatility modelling.
  • Stochastic rates and equity-rate coupling.
  • Monte Carlo simulation design.
  • Calibration-oriented numerical diagnostics.

Stack

C++ Monte Carlo Calibration Derivatives