Papers, ranked by score

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

Semi-Static Variance-Optimal Hedging of Covariance Risk in Multi-Asset Derivatives

We develop a semi-static framework for the variance-optimal hedging of multi-asset derivatives exposed to correlation and covariance risk. The approach combines continuous-time dynamic trading in the underlying assets with a static portfolio of auxiliary contingent claims. Using a multivariate Galtc

Lab Rats Math 8.5 Rigor 4.5 ·  March 26, 2026

Heat modulated affine stochastic volatility models for forward curve dynamics

We present a function-valued stochastic volatility model designed to capture the continuous-time evolution of forward curves in fixed-income or commodity markets. The dynamics of the (logarithmic) forward curves are defined by a Heath-Jarrow-Morton-Musiela stochastic partial differential equation mo

Lab Rats Math 9 Rigor 3 ·  September 19, 2024

Pricing Options on Forwards in Function-Valued Affine Stochastic Volatility Models

We study the pricing of European-style options written on forward contracts within function-valued infinite-dimensional affine stochastic volatility models. The dynamics of the underlying forward price curves are modeled within the Heath-Jarrow-Morton-Musiela framework as solution to a stochastic pa

Lab Rats Math 9 Rigor 2 ·  August 20, 2025

Measure-Valued CARMA Processes

In this paper, we examine continuous-time autoregressive moving-average (CARMA) processes on Banach spaces driven by Lévy subordinators. We show their existence and cone-invariance, investigate their first and second order moment structure, and derive explicit conditions for their stationarity. Spec

Lab Rats Math 8.5 Rigor 2 ·  May 13, 2025

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