Papers, ranked by score

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

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

Dimension Reduction in Martingale Optimal Transport: Geometry and Robust Option Pricing

This paper addresses the problem of robust option pricing within the framework of Vectorial Martingale Optimal Transport (VMOT). We investigate the geometry of VMOT solutions for $N$-period market models and demonstrate that, when the number of underlying assets is $d=2$ and the payoff is sub- or su

Lab Rats Math 9 Rigor 4.5 ·  September 10, 2023

Replication of financial derivatives under extreme market models given marginals

The Black-Scholes-Merton model is a mathematical model for the dynamics of a financial market that includes derivative investment instruments, and its formula provides a theoretical price estimate of European-style options. The model’s fundamental idea is to eliminate risk by hedging the option by p

Lab Rats Math 8.5 Rigor 2 ·  July 3, 2023

Optimal exercise decision of American options under model uncertainty

Given the marginal distribution information of the underlying asset price at two future times $T_1$ and $T_2$, we consider the problem of determining a model-free upper bound on the price of a class of American options that must be exercised at either $T_1$ or $T_2$. The model uncertainty consistent

Philosophers ·  October 23, 2023

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