Search Results for author: Joseph Jerome

Found 6 papers, 2 papers with code

Model-based gym environments for limit order book trading

1 code implementation16 Sep 2022 Joseph Jerome, Leandro Sanchez-Betancourt, Rahul Savani, Martin Herdegen

This paper introduces \mbtgym, a Python module that provides a suite of gym environments for training reinforcement learning (RL) agents to solve such model-based trading problems.

Algorithmic Trading Reinforcement Learning (RL)

Market Making with Scaled Beta Policies

1 code implementation7 Jul 2022 Joseph Jerome, Gregory Palmer, Rahul Savani

This paper introduces a new representation for the actions of a market maker in an order-driven market.

Management

Proper solutions for Epstein-Zin Stochastic Differential Utility

no code implementations13 Dec 2021 Martin Herdegen, David Hobson, Joseph Jerome

Finally, we solve the optimal investment-consumption problem in a constant parameter financial market, where we optimise over the right-continuous attainable consumption streams that have a unique proper utility process associated to them.

The Infinite Horizon Investment-Consumption Problem for Epstein-Zin Stochastic Differential Utility

no code implementations14 Jul 2021 David Hobson, Martin Herdegen, Joseph Jerome

The paper has three main goals: first, to provide a detailed introduction to infinite-horizon Epstein-Zin stochastic differential utility, including a discussion of which parameter combinations lead to a well-formulated problem; second, to prove existence and uniqueness of infinite horizon Epstein-Zin stochastic differential utility under a restriction on the parameters governing the agent's risk aversion and temporal variance aversion; and third, to provide a verification argument for the candidate optimal solution to the investment-consumption problem among all admissible consumption streams.

An elementary approach to the Merton problem

no code implementations9 Jun 2020 Martin Herdegen, David Hobson, Joseph Jerome

In this article we consider the infinite-horizon Merton investment-consumption problem in a constant-parameter Black - Scholes - Merton market for an agent with constant relative risk aversion R. The classical primal approach is to write down a candidate value function and to use a verification argument to prove that this is the solution to the problem.

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