no code implementations • 22 Oct 2023 • Marcel Nutz, Kevin Webster, Long Zhao
We study how to unwind stochastic order flow with minimal transaction costs.
no code implementations • 3 Jul 2023 • Marcel Nutz, Andrés Riveros Valdevenito
Guyon and Lekeufack recently proposed a path-dependent volatility model and documented its excellent performance in fitting market data and capturing stylized facts.
no code implementations • 30 Aug 2022 • Stephan Eckstein, Marcel Nutz
We study the convergence of divergence-regularized optimal transport as the regularization parameter vanishes.
no code implementations • 26 Apr 2022 • Marcel Nutz, Johannes Wiesel, Long Zhao
We show that pointwise limits of semistatic trading strategies in discrete time are again semistatic strategies.
no code implementations • 26 Apr 2022 • Marcel Nutz, Johannes Wiesel, Long Zhao
In a two-period financial market where a stock is traded dynamically and European options at maturity are traded statically, we study the so-called martingale Schr\"odinger bridge Q*; that is, the minimal-entropy martingale measure among all models calibrated to option prices.
no code implementations • 8 Feb 2021 • Espen Bernton, Promit Ghosal, Marcel Nutz
The exact rate function is determined in a general setting and linked to the Kantorovich potential of optimal transport.
Optimization and Control Functional Analysis Probability 90C25, 60F10, 49N05
no code implementations • 14 May 2019 • Johannes Muhle-Karbe, Marcel Nutz, Xiaowei Tan
This paper studies the equilibrium price of an asset that is traded in continuous time between N agents who have heterogeneous beliefs about the state process underlying the asset's payoff.