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We develop a novel observation-driven model for high-frequency prices. We account for irregularly spaced observations, simultaneous transactions, discreteness of prices, and market microstructure noise. The relation between trade durations…

Statistical Finance · Quantitative Finance 2024-05-09 Vladimír Holý

We study the stability of a discrete-time dynamical mean-field Ising model to perturbations. This model belongs to a broader class of models often used in the study of opinion dynamics in financial markets. In the presence of noise, these…

Chaotic Dynamics · Physics 2025-01-23 Senbagaraman Sudarsanam

As machine learning systems become more ubiquitous, methods for understanding and interpreting these models become increasingly important. In particular, practitioners are often interested both in what features the model relies on and how…

Machine Learning · Computer Science 2021-09-08 Andrew Yeh , Anhthy Ngo

Decision-changing imitation is a prevalent phenomenon in financial markets, where investors imitate others' decision-changing rates when making their own investment decisions. In this work, we study the optimal investment problem under the…

Systems and Control · Electrical Eng. & Systems 2024-10-07 Huisheng Wang , H. Vicky Zhao

We set up a structural model to study credit risk for a portfolio containing several or many credit contracts. The model is based on a jump--diffusion process for the risk factors, i.e. for the company assets. We also include correlations…

Risk Management · Quantitative Finance 2008-12-02 Rudi Schäfer , Markus Sjölin , Andreas Sundin , Michal Wolanski , Thomas Guhr

We present a numerically efficient approach for learning a risk-neutral measure for paths of simulated spot and option prices up to a finite horizon under convex transaction costs and convex trading constraints. This approach can then be…

Computational Finance · Quantitative Finance 2021-07-15 Hans Buehler , Phillip Murray , Mikko S. Pakkanen , Ben Wood

The implied volatility is a crucial element of any financial toolbox, since it is used for quoting and the hedging of options as well as for model calibration. In contrast to the Black-Scholes formula its inverse, the implied volatility, is…

Computational Finance · Quantitative Finance 2017-10-06 Kathrin Glau , Paul Herold , Dilip B. Madan , Christian Pötz

A well-interpretable measure of information has been recently proposed based on a partition obtained by intersecting a random sequence with its moving average. The partition yields disjoint sets of the sequence, which are then ranked…

Statistical Finance · Quantitative Finance 2018-08-01 Linda Ponta , Anna Carbone

In this paper, we mainly study the impact of the implied certainty equivalent rate on investment in financial markets. First, we derived the mathematical expression of the implied certainty equivalent rate by using put-call parity, and then…

General Finance · Quantitative Finance 2023-08-08 Yifan He , Svetlozar Rachev

We propose a discrete time algorithm for the valuation of employee stock options based on exponential indifference prices and taking into account both the possibility of partial exercise of a fraction of the options and the use of a…

Statistics Theory · Mathematics 2008-12-10 M. R. Grasselli

Index tracking is a popular form of asset management. Typically, a quadratic function is used to define the tracking error of a portfolio and the look back approach is applied to solve the index tracking problem. We argue that a forward…

Portfolio Management · Quantitative Finance 2021-07-27 Spiridon Penev , Pavel Shevchenko , Wei Wu

We study how the phenomenon of contagion can take place in the network of the world's stock exchanges due to the behavioral trait "blindeness to small changes". On large scale individual, the delay in the collective response may…

General Finance · Quantitative Finance 2016-02-25 Lucia Bellenzier , Jørgen Vitting Andersen , Giulia Rotundo

Basket trials test a single therapeutic treatment on several patient populations under one master protocol. A desirable adaptive design feature in these studies may be the incorporation of new baskets to an ongoing study. Limited basket…

Methodology · Statistics 2024-07-09 Libby Daniells , Pavel Mozgunov , Helen Barnett , Alun Bedding , Thomas Jaki

Stock price prediction has been an important research theme both academically and practically. Various methods to predict stock prices have been studied until now. The feature that explains the stock price by a cross-section analysis is…

Portfolio Management · Quantitative Finance 2020-07-21 Masaya Abe , Kei Nakagawa

Stimulated by the Boston house price data, in this paper, we propose a semiparametric spatial dynamic model, which extends the ordinary spatial autoregressive models to accommodate the effects of some covariates associated with the house…

Statistics Theory · Mathematics 2014-05-26 Yan Sun , Hongjia Yan , Wenyang Zhang , Zudi Lu

In this paper, we discuss causal inference on the efficacy of a treatment or medication on a time-to-event outcome with competing risks. Although the treatment group can be randomized, there can be confoundings between the compliance and…

Methodology · Statistics 2016-12-06 Cheng Zheng , Ran Dai , Parameswaran Hari , Mei-Jie Zhang

In this paper, we address one of the main puzzles in finance observed in the stock market by proponents of behavioral finance: the stock predictability puzzle. We offer a statistical model within the context of rational finance which can be…

Mathematical Finance · Quantitative Finance 2019-11-07 Abootaleb Shirvani , Svetlozar T. Rachev , Frank J. Fabozzi

Factor models characterize the joint behavior of large sets of financial assets through a smaller number of underlying drivers. We develop a network-based framework in which factors emerge naturally from the structure of interactions among…

Computational Finance · Quantitative Finance 2026-04-15 Jose Negrete , Jaime Joel Ramos

We consider insurance derivatives depending on an external physical risk process, for example a temperature in a low dimensional climate model. We assume that this process is correlated with a tradable financial asset. We derive optimal…

Pricing of Securities · Quantitative Finance 2008-12-10 Stefan Ankirchner , Peter Imkeller , Alexandre Popier

In the present paper a model of a market consisting of real and financial interacting sectors is studied. Agents populating the stock market are assumed to be not able to observe the true underlying fundamental, and their beliefs are biased…

General Finance · Quantitative Finance 2018-06-13 Fausto Cavalli , Ahmad Naimzada , Nicolò Pecora , Marina Pireddu