[图书][B] A course on rough paths

PK Friz, M Hairer - 2020 - Springer
Peter K. Friz Martin Hairer With an Introduction to Regularity Structures Second Edition
Page 1 Universitext Peter K. Friz Martin Hairer A Course on Rough Paths With an …

Deep learning volatility: a deep neural network perspective on pricing and calibration in (rough) volatility models

B Horvath, A Muguruza, M Tomas - Quantitative Finance, 2021 - Taylor & Francis
We present a neural network-based calibration method that performs the calibration task
within a few milliseconds for the full implied volatility surface. The framework is consistently …

On deep calibration of (rough) stochastic volatility models

C Bayer, B Horvath, A Muguruza, B Stemper… - arXiv preprint arXiv …, 2019 - arxiv.org
Techniques from deep learning play a more and more important role for the important task of
calibration of financial models. The pioneering paper by Hernandez [Risk, 2017] was a …

Joint SPX-VIX calibration with Gaussian polynomial volatility models: deep pricing with quantization hints

EA Jaber, C Illand - arXiv preprint arXiv:2212.08297, 2022 - arxiv.org
We consider the joint SPX-VIX calibration within a general class of Gaussian polynomial
volatility models in which the volatility of the SPX is assumed to be a polynomial function of a …

Empirical analysis of rough and classical stochastic volatility models to the SPX and VIX markets

SE Rømer - Quantitative Finance, 2022 - Taylor & Francis
We conduct an empirical analysis of rough and classical stochastic volatility models to the
SPX and VIX options markets. Our analysis focusses primarily on calibration quality and is …

Deep learning volatility

B Horvath, A Muguruza, M Tomas - arXiv preprint arXiv:1901.09647, 2019 - arxiv.org
We present a neural network based calibration method that performs the calibration task
within a few milliseconds for the full implied volatility surface. The framework is consistently …

Statistical inference for rough volatility: Minimax theory

CH Chong, M Hoffmann, Y Liu… - The Annals of …, 2024 - projecteuclid.org
Statistical inference for rough volatility: Minimax theory Page 1 The Annals of Statistics 2024,
Vol. 52, No. 4, 1277–1306 https://doi.org/10.1214/23-AOS2343 © Institute of Mathematical …

Short-time near-the-money skew in rough fractional volatility models

C Bayer, PK Friz, A Gulisashvili, B Horvath… - Quantitative …, 2019 - Taylor & Francis
We consider rough stochastic volatility models where the driving noise of volatility has
fractional scaling, in the 'rough'regime of Hurst parameter H< 1/2. This regime recently …

[图书][B] Rough volatility

Since we will never really know why the prices of financial assets move, we should at least
make a faithful model of how they move. This was the motivation of Bachelier in 1900, when …

Optimal stopping with signatures

C Bayer, PP Hager, S Riedel… - The Annals of Applied …, 2023 - projecteuclid.org
We propose a new method for solving optimal stopping problems (such as American option
pricing in finance) under minimal assumptions on the underlying stochastic process X. We …