Multivariate affine GARCH in portfolio optimization. Analytical solutions and applications

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Speaker: Prof. Marcos Escobar-Anel, Dept. of Statistics & Actuarial Sciences, University of Western Ontario, London Abstract: Abstract: This paper develops an optimal portfolio allocation formula for multi-assets where the covariance structure follows a multivariate affine GARCH(1,1) process. We work under an expected utility framework, considering an investor with constant relative risk aversion (CRRA) utility who […]

Lambda Value-at-Risk under ambiguity and risk sharing

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Speaker: Alexander Schied, Professor and Munich Re Chair in Stochastic Finance, Dept. of Statistics and Actuarial Science, University of Waterloo Abstract: We investigate Lambda Value-at-Risk (ΛVaR) under ambiguity, where the ambiguity is represented by a family of probability measures. We establish that for increasing Lambda functions, the robust (i.e., worst-case) ΛVaR under such an ambiguity […]

Marketron Through the Looking Glass: From Equity Dynamics to Option Pricing in Incomplete Markets

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Speaker: Prof. Andrey Itkin, Department of Finance and Risk Engineering, Tandon School of Engineering, NYU Abstract: The Marketron model, introduced by , describes price formation in inelastic markets as the nonlinear diffusion of a quasiparticle (the marketron) in a multidimensional space comprising the log-price x, a memory variable y encoding past money flows, and unobservable […]

Some general results on risk budgeting portfolios

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Speaker: Prof. Pierpaolo Uberti, Department of Statistics and Quantitative Methods, University of Milano-Bicocca Abstract:> Given a reference risk measure, risk budgeting defines a portfolio in which each asset contributes a predetermined amount to the total risk. We propose a novel approach—alternative to those proposed in the literature—for the computation of the risk budgeting portfolio. We […]

Coherent estimation of risk measures

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Speaker: Prof. Igor Cialenco, Dept. of Applied Mathematics, Illinois Institute of Technology Abstract: We develop a statistical framework for risk estimation, inspired by the axiomatic theory of risk measures. Coherent risk estimators—functionals of P&L samples inheriting the economic properties of risk measures—are defined and characterized through robust representations linked to L-estimators. The framework provides a […]

Mean-CVaR portfolio optimization under ESG disagreement

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Speaker: Prof. Davide Lauria, Department of Management, University of Bergamo Abstract: The ESG score of a company is a measure of its commitment to environmental, social and governance investing standards. ESG scores are produced by rating agencies using unique and proprietary methodologies. The complexity of measurement and the lack of widely accepted standards contribute to […]

Portfolio optimization in a market with hidden Gaussian drift and expert opinions

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Speaker: Prof. Ralf Wunderlich, Institute of Mathematics, Brandenburg University of Technology Cottbus-Sentenberg, Germany Abstract: This paper investigates the optimal selection of portfolios for power utility maximizing investors in a financial market where stock returns depend on a hidden Gaussian mean reverting drift process. Information on the drift is obtained from returns and expert opinions in […]

A time-stepping deep gradient flow method for option pricing in (rough) diffusion models

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Speaker: Professor Antonis Papapantoleon, Delft Institute of Applied Mathematics, EEMCS, Delft University of Technology Abstract: We develop a novel deep learning approach for pricing European options in diffusion models, that can efficiently handle high-dimensional problems resulting from Markovian approximations of rough volatility models. The option pricing partial differential equation is reformulated as an energy minimization […]

ABIDES-MARL: A Multi-Agent Reinforcement Learning Environment for Endogenous Price Formation and Execution in a Limit Order Book

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Speaker: Dr. Jean-Loup Dupret, Department of Mathematics, ETH Zurich Abstract: We present ABIDES-MARL, a framework that combines a new multi-agent reinforcement learning (MARL) methodology with a new realistic limit-order-book (LOB) simulation system to study equilibrium behavior in complex financial market games. The system extends ABIDES-Gym by decoupling state collection from kernel interruption, enabling synchronized learning […]

Corruption via Mean Field Games

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Speaker: Dr. Kirill Golubnichiy, Department of Mathematics & Statistics, Texas Tech University Abstract: A new mathematical model describing the evolution of a corrupted hierarchy is derived. This model is based on mean field games theory. We consider a retrospective (inverse) problem for this model. From an applied standpoint, this problem amounts to reconstructing the past […]