1 code implementation • 25 Oct 2022 • Matthew J. Penn, Daniel J. Laydon, Joseph Penn, Charles Whittaker, Christian Morgenstern, Oliver Ratmann, Swapnil Mishra, Mikko S. Pakkanen, Christl A. Donnelly, Samir Bhatt
Uncertainty can be classified as either aleatoric (intrinsic randomness) or epistemic (imperfect knowledge of parameters).
no code implementations • 15 Jul 2022 • Phillip Murray, Ben Wood, Hans Buehler, Magnus Wiese, Mikko S. Pakkanen
We present a method for finding optimal hedging policies for arbitrary initial portfolios and market states.
no code implementations • 15 Nov 2021 • Hans Buehler, Phillip Murray, Mikko S. Pakkanen, Ben Wood
We present a machine learning approach for finding minimal equivalent martingale measures for markets simulators of tradable instruments, e. g. for a spot price and options written on the same underlying.
1 code implementation • 12 Jul 2021 • Mikko S. Pakkanen, Xenia Miscouridou, Matthew J. Penn, Charles Whittaker, Tresnia Berah, Swapnil Mishra, Thomas A. Mellan, Samir Bhatt
We also show that the incidence integral equations that arise from both of these specific models agree with the renewal equation used ubiquitously in infectious disease modelling.
no code implementations • 22 Mar 2021 • Hans Buehler, Phillip Murray, Mikko S. Pakkanen, Ben Wood
We present a numerically efficient approach for learning a risk-neutral measure for paths of simulated spot and option prices up to a finite horizon under convex transaction costs and convex trading constraints.
no code implementations • 9 Oct 2020 • Anine E. Bolko, Kim Christensen, Mikko S. Pakkanen, Bezirgen Veliyev
We show that a parameter estimator based on the integrated variance is consistent and, under stronger conditions, asymptotically normally distributed.
no code implementations • 21 Sep 2018 • Maxime Morariu-Patrichi, Mikko S. Pakkanen
Additionally, we find that the endogeneity of the order flow, measured by the magnitude of excitation, is also state-dependent, being more pronounced in disequilibrium states of the limit order book.