Papers, ranked by score

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

Pricing American options under rough volatility using deep-signatures and signature-kernels

We extend the signature-based primal and dual solutions to the optimal stopping problem recently introduced in [Bayer et al.: Primal and dual optimal stopping with signatures, to appear in Finance & Stochastics 2025], by integrating deep-signature and signature-kernel learning methodologies. These a

Holy Grail Math 8 Rigor 7.5 ·  January 12, 2025

Primal and dual optimal stopping with signatures

We propose two signature-based methods to solve the optimal stopping problem - that is, to price American options - in non-Markovian frameworks. Both methods rely on a global approximation result for $L^p-$functionals on rough path-spaces, using linear functionals of robust, rough path signatures. I

Holy Grail Math 8.5 Rigor 5.5 ·  December 6, 2023

Rough PDEs for local stochastic volatility models

In this work, we introduce a novel pricing methodology in general, possibly non-Markovian local stochastic volatility (LSV) models. We observe that by conditioning the LSV dynamics on the Brownian motion that drives the volatility, one obtains a time-inhomogeneous Markov process. Using tools from ro

Lab Rats Math 8.5 Rigor 4 ·  July 18, 2023

State spaces of multifactor approximations of nonnegative Volterra processes

We show that the state spaces of multifactor Markovian processes, coming from approximations of nonnegative Volterra processes, are given by explicit linear transformation of the nonnegative orthant. We demonstrate the usefulness of this result for applications, including simulation schemes and PDE

Lab Rats Math 8.5 Rigor 3 ·  December 23, 2024

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