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We consider the problem of valuing a European option written on an asset whose dynamics are described by an exponential L\'evy-type model. In our framework, both the volatility and jump-intensity are allowed to vary stochastically in time…

Pricing of Securities · Quantitative Finance 2013-07-12 Matthew Lorig , Oriol Lozano-Carbassé

Straddle Option is a financial trading tool that explores volatility premiums in high-volatility markets without predicting price direction. Although deep reinforcement learning has emerged as a powerful approach to trading automation in…

General Finance · Quantitative Finance 2025-09-11 Yiran Wan , Xinyu Ying , Shengzhen Xu

This paper explores the effectiveness of high-frequency options trading strategies enhanced by advanced portfolio optimization techniques, investigating their ability to consistently generate positive returns compared to traditional long or…

Trading and Market Microstructure · Quantitative Finance 2024-08-19 Sid Bhatia

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

We extend the Q-learner in Black-Scholes (QLBS) framework by incorporating risk aversion and trading costs, and propose a novel Replication Learning of Option Pricing (RLOP) approach. Both methods are fully compatible with standard…

Pricing of Securities · Quantitative Finance 2026-01-06 Ziheng Chen , Minxuan Hu , Jiayu Yi , Wenxi Sun

Identifying market abuse activity from data on investors' trading activity is very challenging both for the data volume and for the low signal to noise ratio. Here we propose two complementary unsupervised machine learning methods to…

Statistical Finance · Quantitative Finance 2022-12-13 Piero Mazzarisi , Adele Ravagnani , Paola Deriu , Fabrizio Lillo , Francesca Medda , Antonio Russo

We consider a system consisting of multiple interdependent assets, and a set of defenders, each responsible for securing a subset of the assets against an attacker. The interdependencies between the assets are captured by an attack graph,…

Systems and Control · Electrical Eng. & Systems 2020-05-12 Mustafa Abdallah , Parinaz Naghizadeh , Ashish R. Hota , Timothy Cason , Saurabh Bagchi , Shreyas Sundaram

Local volatility is a versatile option pricing model due to its state dependent diffusion coefficient. Calibration is, however, non-trivial as it involves both proposing a hypothesis model of the latent function and a method for fitting it…

Mathematical Finance · Quantitative Finance 2021-12-08 Martin Tegner , Stephen Roberts

As machine learning ascends the peak of computer science zeitgeist, the usage and experimentation with sentiment analysis using various forms of textual data seems pervasive. The effect is especially pronounced in formulating securities…

Computational Finance · Quantitative Finance 2018-02-23 Raeid Saqur , Nicole Langballe

Algorithmic trading, due to its inherent nature, is a difficult problem to tackle; there are too many variables involved in the real world which make it almost impossible to have reliable algorithms for automated stock trading. The lack of…

Artificial Intelligence · Computer Science 2020-01-28 Abhishek Nan , Anandh Perumal , Osmar R. Zaiane

The main goal of this paper is an application of Bayesian inference in testing the relation between risk and return on the financial instruments. On the basis of the Intertemporal CAPM model we built a general sampling model suitable in…

Applications · Statistics 2008-10-06 Mateusz Pipien

High frequency data in finance have led to a deeper understanding on probability distributions of market prices. Several facts seem to be well stablished by empirical evidence. Specifically, probability distributions have the following…

Statistical Mechanics · Physics 2009-10-31 Jaume Masoliver , Miquel Montero , Josep M. Porra

In this paper, we present a new bivariate model for the joint description of the Bitcoin prices and the media attention to Bitcoin. Our model is based on the class of the L\'evy processes and is able to realistically reproduce the jump-type…

Statistical Finance · Quantitative Finance 2022-10-26 Ekaterina Morozova , Vladimir Panov

Classical finance models are based on the premise that investors act rationally and utilize all available information when making portfolio decisions. However, these models often fail to capture the anomalies observed in intertemporal…

Statistical Finance · Quantitative Finance 2026-05-19 Annamaria Porreca , Viviana Ventre , Roberta Martino , Salvador Cruz Rambaud , Fabrizio Maturo

Although behavioral economics has demonstrated that there are many situations where rational choice is a poor empirical model, it has so far failed to provide quantitative models of economic problems such as price formation. We make a step…

Physics and Society · Physics 2008-12-02 Szabolcs Mike , J. Doyne Farmer

Designing randomized online algorithms that perform reliably not only in expectation but also under unfavorable realizations of randomness is a fundamental challenge in online decision-making. In this paper, we study this challenge in…

Computer Science and Game Theory · Computer Science 2026-05-13 Hossein Nekouyan , Bo Sun , Raouf Boutaba , Xiaoqi Tan

We propose a projected gradient dynamical system as a model for a bargaining scheme for an asset for which the two interested agents have personal valuations which do not initially coincide. The personal valuations are formed using…

Trading and Market Microstructure · Quantitative Finance 2011-09-15 D. Pinheiro , A. A. Pinto , S. Z. Xanthopoulos , A. N. Yannacopoulos

Recent advances in the fields of machine learning and neurofinance have yielded new exciting research perspectives in practical inference of behavioural economy in financial markets and microstructure study. We here present the latest…

General Finance · Quantitative Finance 2019-10-23 J. Lussange , S. Palminteri , S. Bourgeois-Gironde , B. Gutkin

Non-equilibrium phenomena occur not only in physical world, but also in finance. In this work, stochastic relaxational dynamics (together with path integrals) is applied to option pricing theory. A recently proposed model (by Ilinski et…

Statistical Mechanics · Physics 2009-10-31 Matthias Otto

In recent years, the popularity of artificial intelligence has surged due to its widespread application in various fields. The financial sector has harnessed its advantages for multiple purposes, including the development of automated…

Trading and Market Microstructure · Quantitative Finance 2024-11-01 Vito Alessandro Monaco , Antonio Riva , Luca Sabbioni , Lorenzo Bisi , Edoardo Vittori , Marco Pinciroli , Michele Trapletti , Marcello Restelli
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