Papers, ranked by score

Ordered by a blend of empirical rigor (60%) and math complexity (40%).

SPX-VIX Risk Computations Via Perturbed Optimal Transport

We propose a model independent framework for generating SPX and VIX risk scenarios based on a joint optimal transport calibration of their market smiles. Starting from the entropic martingale optimal transport formulation of Guyon, we introduce a perturbation methodology that computes sensitivities

Holy Grail Math 8 Rigor 8.5 ·  March 11, 2026

Global Multi-Maturity SPX-VIX Calibration Beyond Markovian Stitching

We develop a global framework for joint S&P 500 (SPX)-VIX smile calibration across multiple maturities without the conditional-independence restriction induced by Markovian stitching. Exact local and global feasibility are equivalent: every globally feasible law has a block-preserving SPX-Markovizat

Holy Grail Math 9 Rigor 7 ·  September 3, 2026

Dual Attainment in Multi-Period Multi-Asset Martingale Optimal Transport and Its Computation

We establish dual attainment for the multimarginal, multi-asset martingale optimal transport (MOT) problem, a fundamental question in the mathematical theory of model-independent pricing and hedging in quantitative finance. Our main result proves the existence of dual optimizers under mild regularit

Lab Rats Math 9 Rigor 4.5 ·  February 3, 2026

Quantum Speedups for Derivative Pricing Beyond Black-Scholes

This paper explores advancements in quantum algorithms for derivative pricing of exotics, a computational pipeline of fundamental importance in quantitative finance. For such cases, the classical Monte Carlo integration procedure provides the state-of-the-art provable, asymptotic performance: polyno

Lab Rats Math 9.5 Rigor 3 ·  February 3, 2026

Volatility Calibration via Automatic Local Regression

Managing exotic derivatives requires accurate mark-to-market pricing and stable Greeks for reliable hedging. The Local Volatility (LV) model distinguishes itself from other pricing models by its ability to match observable market prices across all strikes and maturities with high accuracy. However,

Lab Rats Math 7.5 Rigor 4 ·  September 19, 2025

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