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We provide a general probabilistic framework within which we establish scaling limits for a class of continuous-time stochastic volatility models with self-exciting jump dynamics. In the scaling limit, the joint dynamics of asset returns…

数理金融 · 定量金融 2019-12-02 Ulrich Horst , Wei Xu

Price range contains important information about the asset volatility, and has long been considered an important indicator for it. In this paper, we propose to jointly model the [low, high] price range as a random interval and introduce an…

统计方法学 · 统计学 2015-02-18 Yan Sun , Jennifer Loveland , Isaac Blackhurst

There are several approaches to modeling and forecasting time series as applied to prices of commodities and financial assets. One of the approaches is to model the price as a non-stationary time series process with heteroscedastic…

统计金融 · 定量金融 2024-07-01 Andrei Renatovich Batyrov

We empirically analyze the reversion of financial market trends with time horizons ranging from minutes to decades. The analysis covers equities, interest rates, currencies and commodities and combines 14 years of futures tick data, 30…

统计金融 · 定量金融 2025-06-02 Sara A. Safari , Christof Schmidhuber

Building on a prominent agent-based model, we present a new structural stochastic volatility asset pricing model of fundamentalists vs. chartists where the prices are determined based on excess demand. Specifically, this allows for…

经济学 · 定量金融 2016-05-02 Radu T. Pruna , Maria Polukarov , Nicholas R. Jennings

This paper studies the links between the descriptions of macroeconomic variables and statistical moments of market trade, price, and return. The randomness of market trade values and volumes during the averaging interval {\Delta} results in…

综合经济学 · 经济学 2024-04-22 Victor Olkhov

The scaling properties of oil price fluctuations are described as a non-stationary stochastic process realized by a time series of finite length. An original model is used to extract the scaling exponent of the fluctuation functions within…

统计金融 · 定量金融 2008-12-02 M. Momeni , I. Kourakis , K. Talebi

What is the dominating mechanism of the price dynamics in financial systems is of great interest to scientists. The problem whether and how volatilities affect the price movement draws much attention. Although many efforts have been made,…

综合金融 · 定量金融 2015-02-04 Lei Tan , Bo Zheng , Jun-Jie Chen , Xiong-Fei Jiang

It is well documented from various empirical studies that the volatility process of an asset price dynamics is stochastic. This phenomenon called for a new approach to describing the random evolution of volatility through time with…

风险管理 · 定量金融 2022-05-03 Emmanuel Coffie

We apply the concepts of multifractal physics to financial time series in order to characterize the onset of crash for the Standard & Poor's 500 stock index x(t). It is found that within the framework of multifractality, the "analogous"…

凝聚态物理 · 物理学 2009-10-31 Enrique Canessa

We have applied a Long Short-Term Memory neural network to model S&P 500 volatility, incorporating Google domestic trends as indicators of the public mood and macroeconomic factors. In a held-out test set, our Long Short-Term Memory model…

计算金融 · 定量金融 2016-02-17 Ruoxuan Xiong , Eric P. Nichols , Yuan Shen

This paper proposes a theory of stock market predictability patterns based on a model of heterogeneous beliefs. In a discrete finite time framework, some agents receive news about an asset's fundamental value through a noisy signal. The…

证券定价 · 定量金融 2024-06-13 Jiho Park

We study the high frequency price dynamics of traded stocks by a model of returns using a semi-Markov approach. More precisely we assume that the intraday return are described by a discrete time homogeneous semi-Markov process and the…

统计金融 · 定量金融 2012-08-24 Guglielmo D'Amico , Filippo Petroni

We show that the moments of the distribution of historic stock returns are in excellent agreement with the Heston model and not with the multiplicative model, which predicts power-law tails of volatility and stock returns. We also show that…

数理金融 · 定量金融 2019-08-01 Zhiyuan Liu , M. Dashti Moghaddam , R. A. Serota

We perform the Bayesian inference of a GARCH model by the Metropolis-Hastings algorithm with an adaptive proposal density. The adaptive proposal density is assumed to be the Student's t-distribution and the distribution parameters are…

计算金融 · 定量金融 2010-12-30 Tetsuya Takaishi

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…

证券定价 · 定量金融 2013-07-12 Matthew Lorig , Oriol Lozano-Carbassé

We introduce a new class of continuous-time models of the stochastic volatility of asset prices. The models can simultaneously incorporate roughness and slowly decaying autocorrelations, including proper long memory, which are two stylized…

统计金融 · 定量金融 2021-01-06 Mikkel Bennedsen , Asger Lunde , Mikko S. Pakkanen

We propose a new class of financial volatility models, called the REcurrent Conditional Heteroskedastic (RECH) models, to improve both in-sample analysis and out-ofsample forecasting of the traditional conditional heteroskedastic models. In…

计量经济学 · 经济学 2022-01-25 T. -N. Nguyen , M. -N. Tran , R. Kohn

In this paper, we propose a price staleness factor model that accounts for pervasive market friction across assets and incorporates relevant covariates. Using large-panel high-frequency data, we derive the maximum likelihood estimators of…

统计理论 · 数学 2026-04-07 Xinbing Kong , Bin Wu , Wuyi Ye

We propose a non linear Langevin equation as a model for stock market fluctuations and crashes. This equation is based on an identification of the different processes influencing the demand and supply, and their mathematical transcription.…

凝聚态物理 · 物理学 2009-10-31 Jean-Philippe Bouchaud , Rama Cont