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Related papers: Semi Markov model for market microstructure

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Dynamic jumps in the price and volatility of an asset are modelled using a joint Hawkes process in conjunction with a bivariate jump diffusion. A state space representation is used to link observed returns, plus nonparametric measures of…

Applications · Statistics 2016-03-10 Worapree Maneesoonthorn , Catherine S. Forbes , Gael M. Martin

In a fixed time horizon, appropriately executing a large amount of a particular asset -- meaning a considerable portion of the volume traded within this frame -- is challenging. Especially for illiquid or even highly liquid but also highly…

Mathematical Finance · Quantitative Finance 2023-08-15 David Evangelista , Yuri Thamsten

This paper proposes a novel model of financial prices where: (i) prices are discrete; (ii) prices change in continuous time; (iii) a high proportion of price changes are reversed in a fraction of a second. Our model is analytically…

Trading and Market Microstructure · Quantitative Finance 2024-06-21 Neil Shephard , Justin J. Yang

We formulate a discrete-time Bayesian stochastic volatility model for high-frequency stock-market data that directly accounts for microstructure noise, and outline a Markov chain Monte Carlo algorithm for parameter estimation. The methods…

Applications · Statistics 2016-02-02 Georgi Dinolov , Abel Rodriguez , Hongyun Wang

Using a suitable change of probability measure, we obtain a novel Poisson series representation for the arbitrage- free price process of vulnerable contingent claims in a regime-switching market driven by an underlying continuous- time…

Computational Finance · Quantitative Finance 2017-01-09 Agostino Capponi , Jose Figueroa-Lopez , Jeffrey Nisen

A technique for on-line estimation of spot volatility for high-frequency data is developed. The algorithm works directly on the transaction data and updates the volatility estimate immediately after the occurrence of a new transaction.…

Methodology · Statistics 2013-01-15 Rainer Dahlhaus , Jan C. Neddermeyer

A methodology is developed to identify, as units of study, each decrease in the value of a stock from a given maximum price level. A critical level in the amount of price declines is found to separate a segment operating under a random walk…

Statistical Finance · Quantitative Finance 2017-03-28 Leopoldo Sánchez-Cantú , Carlos Arturo Soto-Campos , Andriy Kryvko

We present a Markovian market model driven by a hidden Brownian efficient price. In particular, we extend the queue-reactive model, making its dynamics dependent on the efficient price. Our study focuses on two sub-models: a signal-driven…

Trading and Market Microstructure · Quantitative Finance 2025-06-16 Emmanouil Sfendourakis

Based on criteria of mathematical simplicity and consistency with empirical market data, a stochastic volatility model is constructed, the volatility process being driven by fractional noise. Price return statistics and asymptotic behavior…

Probability · Mathematics 2008-12-02 Rui Vilela Mendes , M. J. Oliveira

We propose a structural vector autoregressive model with a new and flexible specification of the volatility process which we call Sparse Heterogeneous Markov-Switching Heteroskedasticity. In this model, the conditional variance of each…

Econometrics · Economics 2026-03-18 Fei Shang , Tomasz Woźniak

We consider a 2-dimensional marked Hawkes process with increasing baseline intensity in order to model prices on electricity intraday markets. This model allows to represent different empirical facts such as increasing market activity,…

Trading and Market Microstructure · Quantitative Finance 2021-03-17 Thomas Deschatre , Pierre Gruet

We consider a continuous-time financial market with an asset whose price is modeled by a linear stochastic differential equation with drift and volatility switching driven by a uniformly ergodic jump Markov process with a countable state…

Probability · Mathematics 2025-01-14 Vitaliy Golomoziy , Kamil Kladivko , Yuliya Mishura

We introduce a discrete binary tree for pricing contingent claims with the underlying security prices exhibiting history dependence characteristic of that induced by market microstructure phenomena. Example dependencies considered include…

Mathematical Finance · Quantitative Finance 2024-02-29 Davide Lauria , W. Brent Lindquist , Svetlozar T. Rachev , Yuan Hu

The programmable and composable nature of smart contract protocols has enabled the emergence of novel market structures and asset classes that are architecturally frictional to implement in traditional financial paradigms. This fluidity has…

Trading and Market Microstructure · Quantitative Finance 2025-10-08 Althea Sterrett , Austin Adams

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

In this article we revisit the classic problem of tatonnement in price formation from a microstructure point of view, reviewing a recent body of theoretical and empirical work explaining how fluctuations in supply and demand are slowly…

Trading and Market Microstructure · Quantitative Finance 2008-12-02 Jean-Philippe Bouchaud , J. Doyne Farmer , Fabrizio Lillo

Jumps and market microstructure noise are stylized features of high-frequency financial data. It is well known that they introduce bias in the estimation of volatility (including integrated and spot volatilities) of assets, and many methods…

Econometrics · Economics 2023-02-20 Qiang Liu , Zhi Liu

This article considers a model for alternative processes for securities prices and compares this model with actual return data of several securities. The distributions of returns that appear in the model can be Gaussian as well as…

Adaptation and Self-Organizing Systems · Physics 2008-12-02 Kyrylo Shmatov , Mikhail Smirnov

A Markovian modulation captures the trend in the market and influences the market coefficients accordingly. The different scenarios presented by the market are modeled as the distinct states of a discrete-time Markov chain. In our paper, we…

Optimization and Control · Mathematics 2022-02-09 Bernardo D'Auria , José A. Salmerón

We describe an inference task in which a set of timestamped event observations must be clustered into an unknown number of temporal sequences with independent and varying rates of observations. Various existing approaches to multi-object…

Artificial Intelligence · Computer Science 2013-09-20 Dan Stowell , Mark D. Plumbley