Papers, ranked by score

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

Universal randomised signatures for generative time series modelling

Randomised signature has been proposed as a flexible and easily implementable alternative to the well-established path signature. In this article, we employ randomised signature to introduce a generative model for financial time series data in the spirit of reservoir computing. Specifically, we prop

Holy Grail Math 8.5 Rigor 7.5 ·  June 14, 2024

Approximation Rates for Deep Calibration of (Rough) Stochastic Volatility Models

We derive quantitative error bounds for deep neural networks (DNNs) approximating option prices on a $d$-dimensional risky asset as functions of the underlying model parameters, payoff parameters and initial conditions. We cover a general class of stochastic volatility models of Markovian nature as

Lab Rats Math 9.5 Rigor 2 ·  September 26, 2023

When defaults cannot be hedged: an actuarial approach to xVA calculations via local risk-minimization

We consider the pricing and hedging of counterparty credit risk and funding when there is no possibility to hedge the jump to default of either the bank or the counterparty. This represents the situation which is most often encountered in practice, due to the absence of quoted corporate bonds or CDS

Lab Rats Math 8.5 Rigor 2 ·  February 18, 2025

Multi-dimensional fractional Brownian motion in the G-setting

In this paper we introduce a definition of a multi-dimensional fractional Brownian motion of Hurst index $H \in (0, 1)$ under volatility uncertainty (in short G-fBm). We study the properties of such a process and provide first results about stochastic calculus with respect to a fractional G-Brownian

Lab Rats Math 9.5 Rigor 1 ·  December 19, 2023

Collective Arbitrage and the Value of Cooperation

We introduce the notions of Collective Arbitrage and of Collective Super-replication in a discrete-time setting where agents are investing in their markets and are allowed to cooperate through exchanges. We accordingly establish versions of the fundamental theorem of asset pricing and of the pricing

Lab Rats Math 8 Rigor 2 ·  June 20, 2023

Supplement Liquidity based modeling of asset price bubbles via random matching

This is a supplement to the paper “Liquidity based modeling of asset price bubbles via random matching”. The supplement is organized as follows. First, we prove Theorem 3.13 in [1] which provides the existence of the dynamical system D introduced in Definition 3.6 in [1]. Second, we show some proper

Lab Rats Math 8.5 Rigor 1.5 ·  November 27, 2023

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