Optimal Portfolio Choice With Cross‐Impact Propagators
Mathematical Finance, EarlyView.ABSTRACT We consider a class of optimal portfolio choice problems in continuous time where the agent's transactions create both transient cross‐impact driven by a matrix‐valued Volterra propagator, as well as temporary price impact. We formulate this problem as the maximization of a revenue‐risk functional, where the agent also exploits available ...
Eduardo Abi Jaber +2 more
wiley +1 more source
A semi analytical simulation and Bayesian Regularization technique for thermophoretic particle deposition in radiative nanofluid flow with Brownian motion and Stefan blowing impacts. [PDF]
Discov NanoIqbal MA +5 more
europepmc +1 more source
Reinforcement Learning for Jump‐Diffusions, With Financial Applications
Mathematical Finance, EarlyView.ABSTRACT We study continuous‐time reinforcement learning (RL) for stochastic control in which system dynamics are governed by jump‐diffusion processes. We formulate an entropy‐regularized exploratory control problem with stochastic policies to capture the exploration–exploitation balance essential for RL.
Xuefeng Gao, Lingfei Li, Xun Yu Zhou
wiley +1 more source
Never, Ever Getting Started: On Prospect Theory Without Commitment
Mathematical Finance, EarlyView.ABSTRACT Prospect theory is arguably the most prominent alternative to expected utility theory. We study the investment or gambling behavior of a prospect theory decision maker who is aware of his time‐inconsistency but lacks commitment. For the empirically relevant prospect theory specifications, we obtain the extreme prediction that such a decision ...
Sebastian Ebert, Philipp Strack
wiley +1 more source
Influence of Joule heating and activation energy on bioconvective casson nanofluid transport over a curved stretching surface. [PDF]
Discov NanoDivya A +5 more
europepmc +1 more source
Relative Arbitrage Opportunities With Interactions Among N Investors
Mathematical Finance, EarlyView.ABSTRACT The relative arbitrage portfolio outperforms a benchmark portfolio over a given time‐horizon with probability one. With market price of risk processes depending on the market portfolio and investors, this paper analyzes the multi‐agent optimization of relative arbitrage opportunities in the coupled system of market and wealth dynamics.
Tomoyuki Ichiba, Nicole Tianjiao Yang
wiley +1 more source
Effects of nonlinear thermal radiation in bioconvective flow of a micropolar nanofluid containing gyrotactic microorganisms over an oscillating curved surface. [PDF]
Discov NanoNaveed M, Imran M, Imran M, Mubeen A.
europepmc +1 more source
The Optimal Mean–Variance Selling Problem With Finite Horizon
Mathematical Finance, EarlyView.ABSTRACT The optimal mean–variance selling problem seeks to determine a dynamically optimal stopping time in the nonlinear problem sup0≤τ≤TE(Xτ)−cVar(Xτ)$\sup _{0 \le \tau \le T} \left[ \mathsf {E}\,\!(X_\tau) - c\, \mathsf {V}ar\,\!(X_\tau) \right]$, where X$X$ is a geometric Brownian motion with strictly positive drift, the supremum is taken over ...
Peter Johnson +2 more
wiley +1 more source
Mathematical Finance, EarlyView.ABSTRACT We study a dynamic portfolio optimization problem under the mean–variance–variance (M‐V‐V) criterion proposed by Maccheroni et al. It is an analogue of the Arrow–Pratt approximation to the well‐known smooth ambiguity model. Under the standard Black–Scholes framework, we derive fully explicit equilibrium investment strategies in which a DM's ...
David Landriault, Bin Li, Yuanyuan Zhang
wiley +1 more source
Mathematical Model of Emergency Indoor Air Purification by Powder Aerosol. [PDF]
ToxicsKudryashova O, Vorozhtsov A.
europepmc +1 more source