no code implementations • 27 Nov 2023 • Francesca Biagini, Andrea Mazzon, Thilo Meyer-Brandis, Katharina Oberpriller
This is a supplement to the paper "Liquidity based modeling of asset price bubbles via random matching".
no code implementations • 26 Sep 2023 • Francesca Biagini, Lukas Gonon, Niklas Walter
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.
no code implementations • 20 Jun 2023 • Francesca Biagini, Alessandro Doldi, Jean-Pierre Fouque, Marco Frittelli, Thilo Meyer-Brandis
We introduce the notions of Collective Arbitrage and of Collective Super-replication in a setting where agents are investing in their markets and are allowed to cooperate through exchanges.
no code implementations • 25 Oct 2022 • Francesca Biagini, Andrea Mazzon, Thilo Meyer-Brandis, Katharina Oberpriller
In this paper we study the evolution of asset price bubbles driven by contagion effects spreading among investors via a random matching mechanism in a discrete-time version of the liquidity based model of [25].
no code implementations • 4 Oct 2022 • Francesca Biagini, Lukas Gonon, Andrea Mazzon, Thilo Meyer-Brandis
In this paper we employ deep learning techniques to detect financial asset bubbles by using observed call option prices.
no code implementations • 9 Aug 2021 • Francesca Biagini, Andrea Mazzon, Katharina Oberpriller
In this paper we introduce a sublinear conditional operator with respect to a family of possibly nondominated probability measures in presence of multiple ordered default times.
no code implementations • 29 Jul 2021 • Francesca Biagini, Lukas Gonon, Thomas Reitsam
First we prove that the $\alpha$-quantile hedging price converges to the superhedging price at time $0$ for $\alpha$ tending to $1$, and show that the $\alpha$-quantile hedging price can be approximated by a neural network-based price.
no code implementations • 6 Jul 2021 • Francesca Biagini, Thomas Reitsam
We extend the super-replication theorems of [27] in a dynamic setting, both in the num\'eraire-based as well as in the num\'eraire-free setting.
no code implementations • 22 Nov 2019 • Francesca Biagini, Thomas Reitsam
We study asset price bubbles in market models with proportional transaction costs $\lambda\in (0, 1)$ and finite time horizon $T$ in the setting of [49].
1 code implementation • 27 May 2019 • Francesca Biagini, Alessandro Gnoatto, Immacolata Oliva
In this paper we extend the existing literature on xVA along three directions.
Pricing of Securities
no code implementations • 21 Feb 2018 • Francesca Biagini, Yinglin Zhang
In this paper we propose a general framework for modeling an insurance liability cash flow in continuous time, by generalizing the reduced-form framework for credit risk and life insurance.
no code implementations • 1 Jul 2015 • Francesca Biagini, Alessandro Gnoatto, Maximilian Härtel
Furthermore we analyse the relationship between the long-term swap rate, the long-term yield, see Biagini et al. [2018], Biagini and H\"artel [2014], and El Karoui et al. [1997], and the long-term simple rate, considered in Brody and Hughston [2016] as long-term discounting rate.