Deterministic pricing. Exact Greeks.
Zero simulation noise.
A next-generation pricing and risk library for path-dependent derivatives. We replace Monte Carlo regressions with finite operator propagation — exact prices and deterministic Greeks, with mathematically auditable error bounds.
Read the research Contact usThe problem
The Monte Carlo compromise
Standard pricing engines force a choice: inflexible PDE grids that fail beyond three dimensions, or Monte Carlo simulations that inject computational noise into every Greek and every backtest. That noise masquerades as signal — and it can let misspecified models pass the very tests built to catch them.
The method
Finite operator propagation
Spectral Measure decouples the model's physics from the contract's logic. We project the generator onto a finite basis and evolve continuation values by exact matrix multiplication.
Deterministic Greeks
Differentiate the expansion — don't bump-and-reprice. No simulation variance in your sensitivities.
Clean architecture
Adding a barrier or an autocall is finite-state bookkeeping, not a new pricing algorithm.
Auditable bounds
Where approximation is needed, the residual is mathematically bounded and reported — not hidden.
The proof
Backed by rigorous, verified research
The mathematics powering Spectral Measure is documented in open-access research. Core results are formally verified in the Lean 4 proof assistant.
Lead gen
Upgrade your risk architecture
Designed for integration into modern quant funds and systematic risk teams. Pricing, risk, and model-validation engagements welcome.
contact@spectralmeasure.com