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In this paper, we consider daily financial data of a collection of different stock market indices, exchange rates, and interest rates, and we analyze their multi-scaling properties by estimating a simple specification of the…

Statistical Finance · Quantitative Finance 2009-11-13 Ruipeng Liu , T. Di Matteo , Thomas Lux

Markov switching models (MSMs) are probabilistic models that employ multiple sets of parameters to describe different dynamic regimes that a time series may exhibit at different periods of time. The switching mechanism between regimes is…

Machine Learning · Statistics 2019-09-13 Silvia Chiappa

The endeavor of stock trend forecasting is principally focused on predicting the future trajectory of the stock market, utilizing either manual or technical methodologies to optimize profitability. Recent advancements in machine learning…

Computational Engineering, Finance, and Science · Computer Science 2025-02-19 Mingjie Wang , Juanxi Tian , Mingze Zhang , Jianxiong Guo , Weijia Jia

In this paper we develop a Bayesian procedure for estimating multivariate stochastic volatility (MSV) using state space models. A multiplicative model based on inverted Wishart and multivariate singular beta distributions is proposed for…

Statistical Finance · Quantitative Finance 2008-12-02 Kostas Triantafyllopoulos , Giovanni Montana

This work aims to implement Long Short-Term Memory mixture density networks (LSTM-MDNs) for Value-at-Risk forecasting and compare their performance with established models (historical simulation, CMM, and GARCH) using a defined backtesting…

Computational Finance · Quantitative Finance 2025-01-03 Nico Herrig

This paper presents a method for forecasting limit order book durations using a self-exciting flexible residual point process. High-frequency events in modern exchanges exhibit heavy-tailed interarrival times, posing a significant challenge…

Statistical Finance · Quantitative Finance 2026-04-02 Kyungsub Lee

The Multi Variate Mixture Dynamics model is a tractable, dynamical, arbitrage-free multivariate model characterized by transparency on the dependence structure, since closed form formulae for terminal correlations, average correlations and…

Pricing of Securities · Quantitative Finance 2018-11-01 Damiano Brigo , Camilla Pisani , Francesco Rapisarda

We introduce a new stochastic duration model for transaction times in asset markets. We argue that widely accepted rules for aggregating seemingly related trades mislead inference pertaining to durations between unrelated trades: while any…

Econometrics · Economics 2020-05-20 Samuel Gingras , William J. McCausland

One of the most important hyper-parameters in duration-dependent Markov-switching (DDMS) models is the duration of the hidden states. Because there is currently no procedure for estimating this duration or testing whether a given duration…

We provide a new estimation method for conditional moment models via the martingale difference divergence (MDD).Our MDD-based estimation method is formed in the framework of a continuum of unconditional moment restrictions. Unlike the…

Econometrics · Economics 2024-04-18 Kunyang Song , Feiyu Jiang , Ke Zhu

In this paper we present a new method to compute the first-order approximation of the price of derivatives on futures in the context of multiscale stochastic volatility of Fouque \textit{et al.} (2011, CUP). It provides an alternative…

Computational Finance · Quantitative Finance 2018-06-19 Jean-Pierre Fouque , Yuri F. Saporito , Jorge P. Zubelli

The proposed model modifies option pricing formulas for the basic case of log-normal probability distribution providing correspondence to formulated criteria of efficiency and completeness. The model is self-calibrating by historic…

Pricing of Securities · Quantitative Finance 2008-12-02 Pavel Levin

The liquidity risk factor of security market plays an important role in the formulation of trading strategies. A more liquid stock market means that the securities can be bought or sold more easily. As a sound indicator of market liquidity,…

Computational Finance · Quantitative Finance 2021-01-11 Yong Shi , Wei Dai , Wen Long , Bo Li

Earlier we proposed the stochastic point process model, which reproduces a variety of self-affine time series exhibiting power spectral density S(f) scaling as power of the frequency f and derived a stochastic differential equation with the…

Physics and Society · Physics 2008-12-02 V. Gontis , B. Kaulakys

We consider a class of queries called durability prediction queries that arise commonly in predictive analytics, where we use a given predictive model to answer questions about possible futures to inform our decisions. Examples of…

Databases · Computer Science 2021-04-02 Junyang Gao , Yifan Xu , Pankaj K. Agarwal , Jun Yang

In this paper, we show that the recent integration of statistical models with deep recurrent neural networks provides a new way of formulating volatility (the degree of variation of time series) models that have been widely used in time…

Machine Learning · Computer Science 2018-12-06 Rui Luo , Weinan Zhang , Xiaojun Xu , Jun Wang

We propose a new framework for modeling stochastic local volatility, with potential applications to modeling derivatives on interest rates, commodities, credit, equity, FX etc., as well as hybrid derivatives. Our model extends the…

Pricing of Securities · Quantitative Finance 2013-03-29 Igor Halperin , Andrey Itkin

We study average-reward Markov decision processes (AMDPs) and develop novel first-order methods with strong theoretical guarantees for both policy optimization and policy evaluation. Compared with intensive research efforts in finite sample…

Machine Learning · Computer Science 2024-10-01 Tianjiao Li , Feiyang Wu , Guanghui Lan

We propose a multifractal model for short-term interest rates. The model is a version of the Markov-Switching Multifractal (MSM), which incorporates the well-known level effect observed in interest rates. Unlike previously suggested models,…

Statistical Finance · Quantitative Finance 2011-11-23 M. Rypdal , O. Løvsletten

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…

Statistical Finance · Quantitative Finance 2021-01-06 Mikkel Bennedsen , Asger Lunde , Mikko S. Pakkanen
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