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Time series subject to change in regime have attracted much interest in domains such as econometry, finance or meteorology. For discrete-valued regimes, some models such as the popular Hidden Markov Chain (HMC) describe time series whose…

Machine Learning · Computer Science 2021-02-26 Fatoumata Dama , Christine Sinoquet

We introduce a multivariate hidden Markov model to jointly cluster time-series observations with different support, i.e. circular and linear. Relying on the general projected normal distribution, our approach allows for bimodal and/or…

Applications · Statistics 2015-01-27 Gianluca Mastrantonio , Antonello Maruotti , Giovanna Jona Lasinio

A multi--state life insurance model is naturally described in terms of the intensity matrix of an underlying (time--inhomogeneous) Markov process which describes the dynamics for the states of an insured person. Between and at transitions,…

Probability · Mathematics 2019-05-14 Mogens Bladt , Søren Asmussen , Mogens Steffensen

Interbank markets are fundamental for bank liquidity management. In this paper, we introduce a model of interbank trading with memory. Our model reproduces features of preferential trading patterns in the e-MID market recently empirically…

Statistical Finance · Quantitative Finance 2021-08-30 Giulia Iori , Rosario N. Mantegna , Luca Marotta , Salvatore Micciche' , James Porter , Michele Tumminello

We introduce a framework that allows to employ (non-negative) measure-valued processes for energy market modeling, in particular for electricity and gas futures. Interpreting the process' spatial structure as time to maturity, we show how…

Mathematical Finance · Quantitative Finance 2022-10-19 Christa Cuchiero , Luca Di Persio , Francesco Guida , Sara Svaluto-Ferro

We model the stock price dynamics through a semi-Markov process obtained using a Poisson random measure. We establish the existence and uniqueness of the classical solution of a non-homogeneous terminal value problem and we show that the…

Mathematical Finance · Quantitative Finance 2022-09-13 Garima Agrawal , Anindya Goswami

Modern evolvements of the technologies have been leading to a profound influence on the financial market. The introduction of constituents like Exchange-Traded Funds, and the wide-use of advanced technologies such as algorithmic trading,…

Statistical Finance · Quantitative Finance 2021-08-20 Liao Zhu

A Markov-chain model is developed for the purpose estimation of the cure rate of non-performing loans. The technique is performed collectively, on portfolios and it can be applicable in the process of calculation of credit impairment. It is…

Risk Management · Quantitative Finance 2018-07-03 Vilislav Boutchaktchiev

One of the peculiarities of power and gas markets is the delivery mechanism of forward contracts. The seller of a futures contract commits to deliver, say, power, over a certain period, while the classical forward is a financial agreement…

Mathematical Finance · Quantitative Finance 2018-06-08 Fred Espen Benth , Marco Piccirilli , Tiziano Vargiolu

In this paper we complete and extend our previous work on stochastic control applied to high frequency market-making with inventory constraints and directional bets. Our new model admits several state variables (e.g. market spread,…

Trading and Market Microstructure · Quantitative Finance 2013-04-03 Pietro Fodra , Mauricio Labadie

Communication is now a standard tool in the central bank's monetary policy toolkit. Theoretically, communication provides the central bank an opportunity to guide public expectations, and it has been shown empirically that central bank…

General Economics · Economics 2018-09-26 Ancil Crayton

We consider two-state Non-Homogeneous Hidden Markov Models (NHHMMs) for forecasting univariate time series. Given a set of predictors, the time series are modeled via predictive regressions with state dependent coefficients and time-varying…

Methodology · Statistics 2019-07-31 Constandina Koki , Loukia Meligkotsidou , Ioannis Vrontos

Working on the daily closing prices and logreturns, in this paper we deal with the use of Hidden Markov Models (HMMs) to forecast the price of the EUR/USD Futures. The aim of our work is to understand how the HMMs describe different…

Machine Learning · Statistics 2016-05-09 Sara Rebagliati , Emanuela Sasso , Samuele Soraggi

In order to overcome the drawbacks of assuming deterministic volatility coefficients in the standard LIBOR market models to capture volatility smiles and skews in real markets, several extensions of LIBOR models to incorporate stochastic…

Pricing of Securities · Quantitative Finance 2024-08-06 A. M. Ferreiro , J. A. García , J. G. López-Salas , C. Vázquez

Various probabilistic time series forecasting models have sprung up and shown remarkably good performance. However, the choice of model highly relies on the characteristics of the input time series and the fixed distribution that the model…

Machine Learning · Computer Science 2023-09-01 Yunyi Zhou , Zhixuan Chu , Yijia Ruan , Ge Jin , Yuchen Huang , Sheng Li

The Pairwise Markov Chain (PMC) is a probabilistic graphical model extending the well-known Hidden Markov Model. This model, although highly effective for many tasks, has been scarcely utilized for continuous value prediction. This is…

Machine Learning · Statistics 2025-08-12 Elie Azeraf

As a consequence of the financial crises, risk management became more important and real-world dynamics of interest-rate models moved into the focus of interest. Since risk-neutral dynamics are classically important to compute prices of…

Probability · Mathematics 2017-07-26 David Criens

We present a simple hybrid dynamical model as a tool to investigate behavioral strategies based on trend following. The multiplicative symbolic dynamics are generated using a lognormal diffusion model for the at-the-money implied volatility…

Probability · Mathematics 2008-12-02 Ted Theodosopoulos , Alex Trifunovic

Models which postulate lognormal dynamics for interest rates which are compounded according to market conventions, such as forward LIBOR or forward swap rates, can be constructed initially in a discrete tenor framework. Interpolating…

Mathematical Finance · Quantitative Finance 2018-06-22 Erik Schlögl

In unsupervised classification, Hidden Markov Models (HMM) are used to account for a neighborhood structure between observations. The emission distributions are often supposed to belong to some parametric family. In this paper, a…

Machine Learning · Statistics 2012-06-25 Stevenn Volant , Caroline Bérard , Marie-Laure Martin-Magniette , Stéphane Robin