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We propose a deep hedging framework for index option portfolios, grounded in a realistic market simulator that captures the joint dynamics of S&P 500 returns and the full implied volatility surface. Our approach integrates surface-informed…

Risk Management · Quantitative Finance 2025-08-14 Pascal François , Geneviève Gauthier , Frédéric Godin , Carlos O. Pérez-Mendoza

This paper explores option portfolio optimization when the underlying returns are skew-elliptical t-distributed. We use the variance and value at risk (VaR) to measure portfolio risk. The novelty of our work is the departure from the…

Portfolio Management · Quantitative Finance 2026-05-01 Kyle Sung , Traian A. Pirvu

In this paper, we price European Call three different option pricing models, where the volatility is dynamically changing i.e. non constant. In stochastic volatility (SV) models for option pricing a closed form approximation technique is…

Pricing of Securities · Quantitative Finance 2023-09-19 Natasha Latif , Shafqat Ali Shad , Muhammad Usman , Chandan Kumar , Bahman B Motii , MD Mahfuzer Rahman , Khuram Shafi , Zahra Idrees

We study the problem of optimal long term portfolio selection with a view to beat a benchmark. Two kinds of objectives are considered. One concerns the probability of outperforming the benchmark and seeks either to minimise the decay rate…

Probability · Mathematics 2017-12-04 Anatolii A. Puhalskii

We present a framework for hedging a portfolio of derivatives in the presence of market frictions such as transaction costs, market impact, liquidity constraints or risk limits using modern deep reinforcement machine learning methods. We…

Computational Finance · Quantitative Finance 2018-02-12 Hans Bühler , Lukas Gonon , Josef Teichmann , Ben Wood

High Frequency Trading (HFT) represents an ever growing proportion of all financial transactions as most markets have now switched to electronic order book systems. The main goal of the paper is to propose continuous time equations which…

Trading and Market Microstructure · Quantitative Finance 2013-12-10 Rene Carmona , Kevin Webster

High-frequency trading (HFT) accounts for almost half of equity trading volume, yet it is not identified in public data. We develop novel data-driven measures of HFT activity that separate strategies that supply and demand liquidity. We…

Computational Finance · Quantitative Finance 2025-03-24 G. Ibikunle , B. Moews , D. Muravyev , K. Rzayev

We develop a new analysis for portfolio optimisation with options, tackling the three fundamental issues with this problem: asymmetric options' distributions, high dimensionality and dependence structure. To do so, we propose a new…

Portfolio Management · Quantitative Finance 2024-09-10 Jonathan Raimana Chan , Thomas Huckle , Antoine Jacquier , Aitor Muguruza

We study portfolio selection in a model with both temporary and transient price impact introduced by Garleanu and Pedersen (2016). In the large-liquidity limit where both frictions are small, we derive explicit formulas for the…

Portfolio Management · Quantitative Finance 2020-04-15 Ibrahim Ekren , Johannes Muhle-Karbe

We propose a novel portfolio trading system, which contains a feature preprocessing module and a trading module. The feature preprocessing module consists of various data processing operations, while in the trading part, we integrate the…

Trading and Market Microstructure · Quantitative Finance 2021-11-02 Lin Li

This paper proposes a Deep Reinforcement Learning algorithm for financial portfolio trading based on Deep Q-learning. The algorithm is capable of trading high-dimensional portfolios from cross-sectional datasets of any size which may…

Portfolio Management · Quantitative Finance 2021-12-10 Uta Pigorsch , Sebastian Schäfer

This paper presents a data-driven interpretable machine learning algorithm for semi-static hedging of Exchange Traded options, considering transaction costs with efficient run-time. Further, we provide empirical evidence on the performance…

Computational Finance · Quantitative Finance 2024-01-03 Vikranth Lokeshwar Dhandapani , Shashi Jain

We propose a fast and flexible method to scale multivariate return volatility predictions up to high-dimensions using a dynamic risk factor model. Our approach increases parsimony via time-varying sparsity on factor loadings and is able to…

Statistical Finance · Quantitative Finance 2021-11-15 Bruno P. C. Levy , Hedibert F. Lopes

We propose a Genetic Programming architecture for the generation of foreign exchange trading strategies. The system's principal features are the evolution of free-form strategies which do not rely on any prior models and the utilization of…

Neural and Evolutionary Computing · Computer Science 2014-11-11 Simone Cirillo , Stefan Lloyd , Peter Nordin

We present an adaptive approach for valuing the European call option on assets with stochastic volatility. The essential feature of the method is a reduction of uncertainty in latent volatility due to a Bayesian learning procedure. Starting…

Other Condensed Matter · Physics 2008-12-02 Sergei Fedotov , Stephanos Panayides

Improvements in return forecast accuracy do not always lead to proportional improvements in portfolio decision quality, especially under realistic trading frictions and constraints. This paper adopts the Smart Predict--then--Optimize (SPO)…

Portfolio Management · Quantitative Finance 2026-01-13 Wang Yi , Takashi Hasuike

We consider a stochastic game between a slow institutional investor and a high-frequency trader who are trading a risky asset and their aggregated order-flow impacts the asset price. We model this system by means of two coupled stochastic…

Trading and Market Microstructure · Quantitative Finance 2023-06-26 Rama Cont , Alessandro Micheli , Eyal Neuman

We study the allocation of synthetic portfolios under hierarchical nested, one-factor, and diagonal structures of the population covariance matrix in a high-dimensional scenario. The noise reduction approaches for the sample realizations…

Computational Finance · Quantitative Finance 2025-03-10 Andrés García-Medina

This paper addresses the challenges faced in large-volume trading, where executing substantial orders can result in significant market impact and slippage. To mitigate these effects, this study proposes a volatility-volume-based order…

Computational Finance · Quantitative Finance 2024-12-18 Ritwika Chattopadhyay , Abhishek Malichkar , Zhixuan Ren , Xinyue Zhang

The optimization of large portfolios displays an inherent instability to estimation error. This poses a fundamental problem, because solutions that are not stable under sample fluctuations may look optimal for a given sample, but are, in…

Portfolio Management · Quantitative Finance 2015-05-14 Susanne Still , Imre Kondor
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