Parameters Estimation for Jump-diffusion Process Based on Low and High Frequency Data

Parameters Estimation for Jump-diffusion Process Based on Low and High Frequency Data PDF Author: Cai Zhu
Publisher:
ISBN:
Category : Diffusion
Languages : en
Pages : 94

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High-Frequency Financial Econometrics

High-Frequency Financial Econometrics PDF Author: Yacine Aït-Sahalia
Publisher: Princeton University Press
ISBN: 0691161437
Category : Business & Economics
Languages : en
Pages : 683

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Book Description
A comprehensive introduction to the statistical and econometric methods for analyzing high-frequency financial data High-frequency trading is an algorithm-based computerized trading practice that allows firms to trade stocks in milliseconds. Over the last fifteen years, the use of statistical and econometric methods for analyzing high-frequency financial data has grown exponentially. This growth has been driven by the increasing availability of such data, the technological advancements that make high-frequency trading strategies possible, and the need of practitioners to analyze these data. This comprehensive book introduces readers to these emerging methods and tools of analysis. Yacine Aït-Sahalia and Jean Jacod cover the mathematical foundations of stochastic processes, describe the primary characteristics of high-frequency financial data, and present the asymptotic concepts that their analysis relies on. Aït-Sahalia and Jacod also deal with estimation of the volatility portion of the model, including methods that are robust to market microstructure noise, and address estimation and testing questions involving the jump part of the model. As they demonstrate, the practical importance and relevance of jumps in financial data are universally recognized, but only recently have econometric methods become available to rigorously analyze jump processes. Aït-Sahalia and Jacod approach high-frequency econometrics with a distinct focus on the financial side of matters while maintaining technical rigor, which makes this book invaluable to researchers and practitioners alike.

Smoothing Techniques for Curve Estimation

Smoothing Techniques for Curve Estimation PDF Author: T. Gasser
Publisher: Springer
ISBN: 3540384758
Category : Mathematics
Languages : en
Pages : 254

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Ill-posedness of Parameter Estimation in Jump Diffusion Processes

Ill-posedness of Parameter Estimation in Jump Diffusion Processes PDF Author: Dana Düvelmeyer
Publisher:
ISBN:
Category :
Languages : en
Pages :

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State-Space Models

State-Space Models PDF Author: Yong Zeng
Publisher: Springer Science & Business Media
ISBN: 1461477891
Category : Business & Economics
Languages : en
Pages : 358

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Book Description
State-space models as an important mathematical tool has been widely used in many different fields. This edited collection explores recent theoretical developments of the models and their applications in economics and finance. The book includes nonlinear and non-Gaussian time series models, regime-switching and hidden Markov models, continuous- or discrete-time state processes, and models of equally-spaced or irregularly-spaced (discrete or continuous) observations. The contributed chapters are divided into four parts. The first part is on Particle Filtering and Parameter Learning in Nonlinear State-Space Models. The second part focuses on the application of Linear State-Space Models in Macroeconomics and Finance. The third part deals with Hidden Markov Models, Regime Switching and Mathematical Finance and the fourth part is on Nonlinear State-Space Models for High Frequency Financial Data. The book will appeal to graduate students and researchers studying state-space modeling in economics, statistics, and mathematics, as well as to finance professionals.

Encyclopedia of Finance

Encyclopedia of Finance PDF Author: Cheng-Few Lee
Publisher: Springer Science & Business Media
ISBN: 0387262849
Category : Business & Economics
Languages : en
Pages : 861

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Book Description
This is a major new reference work covering all aspects of finance. Coverage includes finance (financial management, security analysis, portfolio management, financial markets and instruments, insurance, real estate, options and futures, international finance) and statistical applications in finance (applications in portfolio analysis, option pricing models and financial research). The project is designed to attract both an academic and professional market. It also has an international approach to ensure its maximum appeal. The Editors' wish is that the readers will find the encyclopedia to be an invaluable resource.

Handbook of Modeling High-Frequency Data in Finance

Handbook of Modeling High-Frequency Data in Finance PDF Author: Frederi G. Viens
Publisher: John Wiley & Sons
ISBN: 0470876883
Category : Business & Economics
Languages : en
Pages : 468

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Book Description
CUTTING-EDGE DEVELOPMENTS IN HIGH-FREQUENCY FINANCIAL ECONOMETRICS In recent years, the availability of high-frequency data and advances in computing have allowed financial practitioners to design systems that can handle and analyze this information. Handbook of Modeling High-Frequency Data in Finance addresses the many theoretical and practical questions raised by the nature and intrinsic properties of this data. A one-stop compilation of empirical and analytical research, this handbook explores data sampled with high-frequency finance in financial engineering, statistics, and the modern financial business arena. Every chapter uses real-world examples to present new, original, and relevant topics that relate to newly evolving discoveries in high-frequency finance, such as: Designing new methodology to discover elasticity and plasticity of price evolution Constructing microstructure simulation models Calculation of option prices in the presence of jumps and transaction costs Using boosting for financial analysis and trading The handbook motivates practitioners to apply high-frequency finance to real-world situations by including exclusive topics such as risk measurement and management, UHF data, microstructure, dynamic multi-period optimization, mortgage data models, hybrid Monte Carlo, retirement, trading systems and forecasting, pricing, and boosting. The diverse topics and viewpoints presented in each chapter ensure that readers are supplied with a wide treatment of practical methods. Handbook of Modeling High-Frequency Data in Finance is an essential reference for academics and practitioners in finance, business, and econometrics who work with high-frequency data in their everyday work. It also serves as a supplement for risk management and high-frequency finance courses at the upper-undergraduate and graduate levels.

Statistical Methods for Stochastic Differential Equations

Statistical Methods for Stochastic Differential Equations PDF Author: Mathieu Kessler
Publisher: CRC Press
ISBN: 1439849404
Category : Mathematics
Languages : en
Pages : 509

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Book Description
The seventh volume in the SemStat series, Statistical Methods for Stochastic Differential Equations presents current research trends and recent developments in statistical methods for stochastic differential equations. Written to be accessible to both new students and seasoned researchers, each self-contained chapter starts with introductions to the topic at hand and builds gradually towards discussing recent research. The book covers Wiener-driven equations as well as stochastic differential equations with jumps, including continuous-time ARMA processes and COGARCH processes. It presents a spectrum of estimation methods, including nonparametric estimation as well as parametric estimation based on likelihood methods, estimating functions, and simulation techniques. Two chapters are devoted to high-frequency data. Multivariate models are also considered, including partially observed systems, asynchronous sampling, tests for simultaneous jumps, and multiscale diffusions. Statistical Methods for Stochastic Differential Equations is useful to the theoretical statistician and the probabilist who works in or intends to work in the field, as well as to the applied statistician or financial econometrician who needs the methods to analyze biological or financial time series.

Advanced Financial Modelling

Advanced Financial Modelling PDF Author: Hansjörg Albrecher
Publisher: Walter de Gruyter
ISBN: 3110213141
Category : Mathematics
Languages : en
Pages : 465

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Book Description
This book is a collection of state–of–the–art surveys on various topics in mathematical finance, with an emphasis on recent modelling and computational approaches. The volume is related to a 'Special Semester on Stochastics with Emphasis on Finance' that took place from September to December 2008 at the Johann Radon Institute for Computational and Applied Mathematics of the Austrian Academy of Sciences in Linz, Austria.

Parameter Estimation for the Drift of a Time-inhomogeneous Jump Diffusion Process

Parameter Estimation for the Drift of a Time-inhomogeneous Jump Diffusion Process PDF Author: Brice Franke
Publisher:
ISBN:
Category :
Languages : en
Pages : 17

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