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Stylized facts can be regarded as constraints for any modeling attempt of price dynamics on a financial market, in that an empirically reasonable model has to reproduce these stylized facts at least qualitatively. The dynamics of market…

Computational Finance · Quantitative Finance 2010-04-12 Stefan Reimann , Andreas Tupak

Financial markets are integral to a country's economic success, yet their complex nature raises challenging issues for predicting their behaviors. There is a growing demand for an integrated system that explores the vast and diverse data in…

Statistical Finance · Quantitative Finance 2024-12-10 Ali Abrishami , Jafar Habibi , AmirAli Jarrahi , Dariush Amiri , MohammadAmin Fazli

We propose a new financial model, the stochastic volatility model with sticky drawdown and drawup processes (SVSDU model), which enables us to capture the features of winning and losing streaks that are common across financial markets but…

Mathematical Finance · Quantitative Finance 2025-03-20 Yuhao Liu , Pingping Jiang , Gongqiu Zhang

The main focus of this work is to understand the dynamics of non regulated markets. The present model can describe the dynamics of any market where the pricing is based on supply and demand. It will be applied here, as an example, for the…

adap-org · Physics 2007-05-23 Andreas Schaale

This paper presents an analytically tractable and practically-oriented model of non-linear dynamics of a multi-asset market in the limit of a large number of assets. The asset price dynamics are driven by money flows into the market from…

Computational Finance · Quantitative Finance 2022-03-16 Igor Halperin

A Hidden Markov Model for intraday momentum trading is presented which specifies a latent momentum state responsible for generating the observed securities' noisy returns. Existing momentum trading models suffer from time-lagging caused by…

Trading and Market Microstructure · Quantitative Finance 2020-06-22 Hugh Christensen , Simon Godsill , Richard E Turner

Tensor-valued data are becoming increasingly available in economics and this calls for suitable econometric tools. We propose a new dynamic linear model for tensor-valued response variables and covariates that encompasses some well-known…

Methodology · Statistics 2019-07-05 Monica Billio , Roberto Casarin , Matteo Iacopini , Sylvia Kaufmann

Recently, the notion of cryptocurrencies has come to the fore of public interest. These assets that exist only in electronic form, with no underlying value, offer the owners some protection from tracking or seizure by government or…

Mathematical Finance · Quantitative Finance 2018-05-09 Carey Caginalp

This paper explores and develops alternative statistical representations and estimation approaches for dynamic mortality models. The framework we adopt is to reinterpret popular mortality models such as the Lee-Carter class of models in a…

Statistical Finance · Quantitative Finance 2020-08-04 Man Chung Fung , Gareth W. Peters , Pavel V. Shevchenko

To make medium- and long-term insurance products attractive, it is essential to enable participation in stock market returns. However, to eliminate downside risk, guarantees must be included, which naturally leads to the challenge of…

Mathematical Finance · Quantitative Finance 2025-10-09 Raquel M. Gaspar , Thorsten Schmidt

This paper proposes a semiparametric stochastic volatility (SV) model that relaxes the restrictive Gaussian assumption in both the return and volatility error terms, allowing them to follow flexible, nonparametric distributions with…

Computation · Statistics 2025-06-03 Yudong Feng , Ashis Gangopadhyay

In a stochastic volatility framework, we find a general pricing equation for the class of payoffs depending on the terminal value of a market asset and its final quadratic variation. This allows a pricing tool for European-style claims…

Pricing of Securities · Quantitative Finance 2012-06-12 Lorenzo Torricelli

We present an arbitrage free theoretical framework for modeling bid and ask prices of dividend paying securities in a discrete time setup using theory of dynamic acceptability indices. In the first part of the paper we develop the theory of…

Pricing of Securities · Quantitative Finance 2014-12-31 Tomasz R. Bielecki , Igor Cialenco , Tao Chen

Mathematical models, calibrated to data, have become ubiquitous to make key decision processes in modern quantitative finance. In this work, we propose a novel framework for data-driven model selection by integrating a classical…

Computational Finance · Quantitative Finance 2020-06-04 Imanol Perez Arribas , Cristopher Salvi , Lukasz Szpruch

Weather forecast information will very likely find increasing application in the control of future energy systems. In this paper, we introduce an augmented state space model formulation with linear dynamics, within which one can incorporate…

Optimization and Control · Mathematics 2021-06-15 Jacques A. de Chalendar , Peter W. Glynn

The paper develops a new class of financial market models. These models are based on generalized telegraph processes: Markov random flows with alternating velocities and jumps occurring when the velocities are switching. While such markets…

Trading and Market Microstructure · Quantitative Finance 2009-09-29 Nikita Ratanov , Alexander Melnikov

We propose a new approach to utilities that is consistent with state-dependent utilities. In our model utilities reflect the level of consumption satisfaction of flows of cash in future times as they are valued when the economic agents are…

Probability · Mathematics 2008-12-10 Jaime A. Londoño

We combine geometric data analysis and stochastic modeling to describe the collective dynamics of complex systems. As an example we apply this approach to financial data and focus on the non-stationarity of the market correlation structure.…

Statistical Finance · Quantitative Finance 2015-09-30 Yuriy Stepanov , Philip Rinn , Thomas Guhr , Joachim Peinke , Rudi Schäfer

We study contingent claims in a discrete-time market model where trading costs are given by convex functions and portfolios are constrained by convex sets. In addition to classical frictionless markets and markets with transaction costs or…

Pricing of Securities · Quantitative Finance 2008-12-10 Teemu Pennanen

In this paper we present a continuous time dynamical model of heterogeneous agents interacting in a financial market where transactions are cleared by a market maker. The market is composed of fundamentalist, trend following and contrarian…

Data Analysis, Statistics and Probability · Physics 2008-12-10 Giuseppe Garofalo , Alessandro Sansone