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We consider a discrete time financial market with proportional transaction costs under model uncertainty, and study a num\'eraire-based semi-static utility maximization problem with an exponential utility preference. The randomization…

Mathematical Finance · Quantitative Finance 2019-08-02 Shuoqing Deng , Xiaolu Tan , Xiang Yu

We introduce a novel and highly tractable supervised learning approach based on neural networks that can be applied for the computation of model-free price bounds of, potentially high-dimensional, financial derivatives and for the…

Computational Finance · Quantitative Finance 2022-12-15 Ariel Neufeld , Julian Sester

The objectives of option hedging/trading extend beyond mere protection against downside risks, with a desire to seek gains also driving agent's strategies. In this study, we showcase the potential of robust risk-aware reinforcement learning…

Computational Finance · Quantitative Finance 2023-12-27 David Wu , Sebastian Jaimungal

Many machine learning solutions are framed as optimization problems which rely on good hyperparameters. Algorithms for tuning these hyperparameters usually assume access to exact solutions to the underlying learning problem, which is…

Machine Learning · Computer Science 2020-11-09 Matthias J. Ehrhardt , Lindon Roberts

This study presents a deep reinforcement learning approach for global hedging of long-term financial derivatives. A similar setup as in Coleman et al. (2007) is considered with the risk management of lookback options embedded in guarantees…

Risk Management · Quantitative Finance 2020-07-31 Alexandre Carbonneau

In this paper, we combine modern portfolio theory and option pricing theory so that a trader who takes a position in a European option contract and the underlying assets can construct an optimal portfolio such that at the moment of the…

Mathematical Finance · Quantitative Finance 2020-01-06 Abootaleb Shirvani , Frank J. Fabozzi , Stoyan V. Stoyanov

Two major financial market complexities are transaction costs and uncertain volatility, and we analyze their joint impact on the problem of portfolio optimization. When volatility is constant, the transaction costs optimal investment…

Portfolio Management · Quantitative Finance 2014-08-28 Maxim Bichuch , Ronnie Sircar

In volatile financial markets, balancing risk and return remains a significant challenge. Traditional approaches often focus solely on equity allocation, overlooking the strategic advantages of options trading for dynamic risk hedging. This…

Portfolio Management · Quantitative Finance 2025-09-17 Feliks Bańka , Jarosław A. Chudziak

We present a method for finding optimal hedging policies for arbitrary initial portfolios and market states. We develop a novel actor-critic algorithm for solving general risk-averse stochastic control problems and use it to learn hedging…

Computational Finance · Quantitative Finance 2022-07-18 Phillip Murray , Ben Wood , Hans Buehler , Magnus Wiese , Mikko S. Pakkanen

This paper explores neural network-based approaches for algorithmic trading in cryptocurrency markets. Our approach combines multi-timeframe trend analysis with high-frequency direction prediction networks, achieving positive risk-adjusted…

Computational Finance · Quantitative Finance 2025-08-05 Wěi Zhāng

Volatility is a natural risk measure in finance as it quantifies the variation of stock prices. A frequently considered problem in mathematical finance is to forecast different estimates of volatility. What makes it promising to use deep…

Statistical Finance · Quantitative Finance 2020-09-14 Bernadett Aradi , Gábor Petneházi , József Gáll

This paper will analyze and implement a time series dynamic neural network to predict daily closing stock prices. Neural networks possess unsurpassed abilities in identifying underlying patterns in chaotic, non-linear, and seemingly random…

Statistical Finance · Quantitative Finance 2023-06-23 David Noel

In this paper, we present an artificial neural network framework for portfolio compression of a large portfolio of European options with varying maturities (target portfolio) by a significantly smaller portfolio of European options with…

Portfolio Management · Quantitative Finance 2024-02-29 Vikranth Lokeshwar Dhandapani , Shashi Jain

Peters (2011a) defined an optimal leverage which maximizes the time-average growth rate of an investment held at constant leverage. It was hypothesized that this optimal leverage is attracted to 1, such that, e.g., leveraging an investment…

General Finance · Quantitative Finance 2020-06-12 Ole Peters , Alexander Adamou

We use machine learning for designing a medium frequency trading strategy for a portfolio of 5 year and 10 year US Treasury note futures. We formulate this as a classification problem where we predict the weekly direction of movement of the…

Trading and Market Microstructure · Quantitative Finance 2015-12-22 Abhijit Sharang , Chetan Rao

We find economically and statistically significant gains when using machine learning for portfolio allocation between the market index and risk-free asset. Optimal portfolio rules for time-varying expected returns and volatility are…

Portfolio Management · Quantitative Finance 2021-11-05 Michael Pinelis , David Ruppert

Statistical arbitrage exploits temporal price differences between similar assets. We develop a unifying conceptual framework for statistical arbitrage and a novel data driven solution. First, we construct arbitrage portfolios of similar…

Machine Learning · Computer Science 2022-10-11 Jorge Guijarro-Ordonez , Markus Pelger , Greg Zanotti

We consider the problem of portfolio optimization with a correlation constraint. The framework is the multiperiod stochastic financial market setting with one tradable stock, stochastic income and a non-tradable index. The correlation…

Optimization and Control · Mathematics 2020-01-01 Aditya Maheshwari , Traian Pirvu

In this paper, we consider the problem of optimization of a portfolio consisting of securities. An investor with an initial capital, is interested in constructing a portfolio of securities. If the prices of securities change, the investor…

Portfolio Management · Quantitative Finance 2017-12-05 Oleg Malafeyev , Achal Awasthi

Synthesizing optimal controllers for dynamical systems often involves solving optimization problems with hard real-time constraints. These constraints determine the class of numerical methods that can be applied: computationally expensive…

Optimization and Control · Mathematics 2022-03-16 Federico Berto , Stefano Massaroli , Michael Poli , Jinkyoo Park