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

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