Financial Statistics and Mathematical Finance. Methods, Models and Applications

A practically-focused resource for business valuation professionals Financial Valuation: Applications and Models provides authoritative reference and practical guidance on the appropriate, defensible way to prepare and present business valuations. With contributions by 30 top experts in the field, this new fourth edition provides an essential resource for those seeking the most up-to-date guidance, with a strong emphasis on applications and models. Coverage includes state-of-the-art methods for the valuation of closely-held businesses, nonpublic entities, intangible, and other assets, with comprehensive discussion on valuation theory, a consensus view on application, and the tools to make it happen. Packed with examples, checklists, and models to help you navigate your valuation project, this book also provides hundreds of expert «tips» and best practices in clear, easy-to-follow language. The companion website provides access to extensive appendix materials, and the perspectives of valuation thought-leaders add critical insight throughout each step of the process. Valuation is an important part of any organization's overall financial strategy, and seemingly-small inaccuracies or incomplete assessments can have big repercussions. This book walks you through the valuation process to give you the skills and understanding you need to get it done right. Learn best practices from 30 field-leading experts Follow clear examples for complex or unfamiliar scenarios Access practical tools that streamline the valuation process Understand valuation models and real-world applications The business valuation process can become very complex very quickly, and there's no substitute for clear guidance and a delineated framework in the run-up to completion. Get organized from the beginning, and be systematic and methodical every step of the way. Financial Valuation: Applications and Models is the all-encompassing, expert guide to business valuation projects.

The appropriate, defensible way to prepare and present business valuations, with a strong emphasis on applications and models Financial Valuation provides an all-encompassing valuation tome that presents the application of financial valuation theory in an easily understood manner. Delivering valuation theory, the consensus view on application, and the tools to make it happen, James Hitchner?s all-star cast of contributors offer numerous examples, checklists, and models to assist in navigating a valuation project. The book contains hundreds of short, easily understandable «Valuation Tips,» and covers best practices from the view of these twenty-five experts.

Praise for Financial Valuation «This Second Edition addresses virtually all of the recent hot topics in business valuation, and there are many of them since the first edition. Most chapters are updated with new material, including, especially, the Duff & Phelps Risk Premium Report as an alternative to Ibbotson's risk premium data. As with the first edition, the authors are very well-known and provide incisive analysis.» –Shannon Pratt, CFA, FASA, MCBA, CM&AA, CEO, Shannon Pratt Valuations, LLC «Though the first edition of Mr. Hitchner's book was excellent in all regards, this Second Edition squarely puts Hitchner and his team of authors at the top of the list of authorities in the field of business valuation. Few publications on the subject even come close to the book's thorough coverage of the topic, but equally impressive is the clarity with which Hitchner depicts and explains highly complex subject matters. So impressed with Financial Valuation Applications and Models, the National Association of Certified Valuation Analysts has developed a three-day course based upon this book entitled, 'Advanced Valuation and Case Study Workshop,' which is now a cornerstone training program for our organization.» –Parnell Black, MBA, CPA, CVA, Chief Executive Officer, NACVA «This book is a valuable resource for every BV library. It has material not covered in other BV books and this Second Edition has much more information than the first. Financial Valuation Applications and Models is the primary textbook for AICPA's business valuation education and it covers most of the topics on the test for the AICPA's Accredited in Business Valuation (ABV) credential. Its thirty authors are nationally respected practitioners who have written this book for practitioners. Many of the authors are current or former members of the AICPA Business Valuation Committee and the AICPA BV Hall of Fame.» –Michael A. Crain, CPA/ABV, ASA, CFA, CFE, Chair, AICPA Business Valuation Committee, Managing Director, The Financial Valuation Group «This book has a tremendous wealth of information that all valuation analysts must have in their libraries. From those just starting their careers to the most experienced practitioner, all valuation analysts will benefit from the invaluable information, ranging from fundamental practices to the most innovative economic and valuation ideas of today.» –Scott R. Saltzman, CPA, CVA, ASA, DABFA, Managing Member, Saltzman LLC; President, National Association of Certified Valuation Analysts Coauthors: Mel H. Abraham, R. James Alerding, Terry Jacoby Allen, Larry R. Cook, Michael A. Crain, Don M. Drysdale, Robert E. Duffy, Edward J. Dupke, Nancy J. Fannon, John R. Gilbert, Chris Hamilton, Thomas E. Hilton, James R. Hitchner, Steven D. Hyden, Gregory S. Koonsman, Mark G. Kucik, Eva M. Lang, Derald L. Lyons, Michael J. Mard, Harold G. Martin Jr., Michael Mattson, Edward F. Moran Jr., Raymond E. Moran, James S. Rigby Jr., Ronald L. Seigneur, Robin E. Taylor, Linda B. Trugman, Samuel Y. Wessinger, Don Wisehart, and Kevin R. Yeanoplos

This book provides a comprehensive and systematic approach to understanding GARCH time series models and their applications whilst presenting the most advanced results concerning the theory and practical aspects of GARCH. The probability structure of standard GARCH models is studied in detail as well as statistical inference such as identification, estimation and tests. The book also provides coverage of several extensions such as asymmetric and multivariate models and looks at financial applications. Key features: Provides up-to-date coverage of the current research in the probability, statistics and econometric theory of GARCH models. Numerous illustrations and applications to real financial series are provided. Supporting website featuring R codes, Fortran programs and data sets. Presents a large collection of problems and exercises. This authoritative, state-of-the-art reference is ideal for graduate students, researchers and practitioners in business and finance seeking to broaden their skills of understanding of econometric time series models.

The mathematical and statistical tools needed in the rapidly growing quantitative finance field With the rapid growth in quantitative finance, practitioners must achieve a high level of proficiency in math and statistics. Mathematical Methods and Statistical Tools for Finance, part of the Frank J. Fabozzi Series, has been created with this in mind. Designed to provide the tools needed to apply finance theory to real world financial markets, this book offers a wealth of insights and guidance in practical applications. It contains applications that are broader in scope from what is covered in a typical book on mathematical techniques. Most books focus almost exclusively on derivatives pricing, the applications in this book cover not only derivatives and asset pricing but also risk management—including credit risk management—and portfolio management. Includes an overview of the essential math and statistical skills required to succeed in quantitative finance Offers the basic mathematical concepts that apply to the field of quantitative finance, from sets and distances to functions and variables The book also includes information on calculus, matrix algebra, differential equations, stochastic integrals, and much more Written by Sergio Focardi, one of the world's leading authors in high-level finance Drawing on the author's perspectives as a practitioner and academic, each chapter of this book offers a solid foundation in the mathematical tools and techniques need to succeed in today's dynamic world of finance.

An introduction to the mathematical theory and financial models developed and used on Wall Street Providing both a theoretical and practical approach to the underlying mathematical theory behind financial models, Measure, Probability, and Mathematical Finance: A Problem-Oriented Approach presents important concepts and results in measure theory, probability theory, stochastic processes, and stochastic calculus. Measure theory is indispensable to the rigorous development of probability theory and is also necessary to properly address martingale measures, the change of numeraire theory, and LIBOR market models. In addition, probability theory is presented to facilitate the development of stochastic processes, including martingales and Brownian motions, while stochastic processes and stochastic calculus are discussed to model asset prices and develop derivative pricing models. The authors promote a problem-solving approach when applying mathematics in real-world situations, and readers are encouraged to address theorems and problems with mathematical rigor. In addition, Measure, Probability, and Mathematical Finance features: A comprehensive list of concepts and theorems from measure theory, probability theory, stochastic processes, and stochastic calculus Over 500 problems with hints and select solutions to reinforce basic concepts and important theorems Classic derivative pricing models in mathematical finance that have been developed and published since the seminal work of Black and Scholes Measure, Probability, and Mathematical Finance: A Problem-Oriented Approach is an ideal textbook for introductory quantitative courses in business, economics, and mathematical finance at the upper-undergraduate and graduate levels. The book is also a useful reference for readers who need to build their mathematical skills in order to better understand the mathematical theory of derivative pricing models.

An authoritative text that presents the current problems, theories, and applications of mathematical analysis research Mathematical Analysis and Applications: Selected Topics offers the theories, methods, and applications of a variety of targeted topics including: operator theory, approximation theory, fixed point theory, stability theory, minimization problems, many-body wave scattering problems, Basel problem, Corona problem, inequalities, generalized normed spaces, variations of functions and sequences, analytic generalizations of the Catalan, Fuss, and Fuss–Catalan Numbers, asymptotically developable functions, convex functions, Gaussian processes, image analysis, and spectral analysis and spectral synthesis. The authors—a noted team of international researchers in the field— highlight the basic developments for each topic presented and explore the most recent advances made in their area of study. The text is presented in such a way that enables the reader to follow subsequent studies in a burgeoning field of research. This important text: Presents a wide-range of important topics having current research importance and interdisciplinary applications such as game theory, image processing, creation of materials with a desired refraction coefficient, etc. Contains chapters written by a group of esteemed researchers in mathematical analysis Includes problems and research questions in order to enhance understanding of the information provided Offers references that help readers advance to further study Written for researchers, graduate students, educators, and practitioners with an interest in mathematical analysis, Mathematical Analysis and Applications: Selected Topics includes the most recent research from a range of mathematical fields. Michael Ruzhansky, Ph.D., is Professor in the Department of Mathematics at Imperial College London, UK. Dr. Ruzhansky was awarded the Ferran Sunyer I Balaguer Prize in 2014. Hemen Dutta, Ph.D., is Senior Assistant Professor of Mathematics at Gauhati University, India. Ravi P. Agarwal, Ph.D., is Professor and Chair of the Department of Mathematics at Texas A&M University-Kingsville, Kingsville, USA.

A comprehensive look at how probability and statistics is applied to the investment process Finance has become increasingly more quantitative, drawing on techniques in probability and statistics that many finance practitioners have not had exposure to before. In order to keep up, you need a firm understanding of this discipline. Probability and Statistics for Finance addresses this issue by showing you how to apply quantitative methods to portfolios, and in all matter of your practices, in a clear, concise manner. Informative and accessible, this guide starts off with the basics and builds to an intermediate level of mastery. • Outlines an array of topics in probability and statistics and how to apply them in the world of finance • Includes detailed discussions of descriptive statistics, basic probability theory, inductive statistics, and multivariate analysis • Offers real-world illustrations of the issues addressed throughout the text The authors cover a wide range of topics in this book, which can be used by all finance professionals as well as students aspiring to enter the field of finance.

Applications of mathematical heat transfer and fluid flow models in engineering and medicine Abram S. Dorfman, University of Michigan, USA Engineering and medical applications of cutting-edge heat and flow models This book presents innovative efficient methods in fluid flow and heat transfer developed and widely used over the last fifty years. The analysis is focused on mathematical models which are an essential part of any research effort as they demonstrate the validity of the results obtained. The universality of mathematics allows consideration of engineering and biological problems from one point of view using similar models. In this book, the current situation of applications of modern mathematical models is outlined in three parts. Part I offers in depth coverage of the applications of contemporary conjugate heat transfer models in various industrial and technological processes, from aerospace and nuclear reactors to drying and food processing. In Part II the theory and application of two recently developed models in fluid flow are considered: the similar conjugate model for simulation of biological systems, including flows in human organs, and applications of the latest developments in turbulence simulation by direct solution of Navier-Stokes equations, including flows around aircraft. Part III proposes fundamentals of laminar and turbulent flows and applied mathematics methods. The discussion is complimented by 365 examples selected from a list of 448 cited papers, 239 exercises and 136 commentaries. Key features: Peristaltic flows in normal and pathologic human organs. Modeling flows around aircraft at high Reynolds numbers. Special mathematical exercises allow the reader to complete expressions derivation following directions from the text. Procedure for preliminary choice between conjugate and common simple methods for particular problem solutions. Criterions of conjugation, definition of semi-conjugate solutions. This book is an ideal reference for graduate and post-graduate students and engineers.

Generally, books on mathematical statistics are restricted to the case of independent identically distributed random variables. In this book however, both this case AND the case of dependent variables, i.e. statistics for discrete and continuous time processes, are studied. This second case is very important for today’s practitioners. Mathematical Statistics and Stochastic Processes is based on decision theory and asymptotic statistics and contains up-to-date information on the relevant topics of theory of probability, estimation, confidence intervals, non-parametric statistics and robustness, second-order processes in discrete and continuous time and diffusion processes, statistics for discrete and continuous time processes, statistical prediction, and complements in probability. This book is aimed at students studying courses on probability with an emphasis on measure theory and for all practitioners who apply and use statistics and probability on a daily basis.