Quantitative Finance

Quantitative Finance
Author: T. Wake Epps
Publisher: John Wiley & Sons
Total Pages: 448
Release: 2009-03-23
Genre: Mathematics
ISBN: 9780470455272

A rigorous, yet accessible, introduction to essential topics in mathematical finance Presented as a course on the topic, Quantitative Finance traces the evolution of financial theory and provides an overview of core topics associated with financial investments. With its thorough explanations and use of real-world examples, this book carefully outlines instructions and techniques for working with essential topics found within quantitative finance including portfolio theory, pricing of derivatives, decision theory, and the empirical behavior of prices. The author begins with introductory chapters on mathematical analysis and probability theory, which provide the needed tools for modeling portfolio choice and pricing in discrete time. Next, a review of the basic arithmetic of compounding as well as the relationships that exist among bond prices and spot and forward interest rates is presented.? Additional topics covered include: Dividend discount models Markowitz mean-variance theory The Capital Asset Pricing Model Static?portfolio theory based on the expected-utility paradigm Familiar probability models for marginal distributions of returns and the dynamic behavior of security prices The final chapters of the book delve into the paradigms of pricing and present the application of martingale pricing in advanced models of price dynamics. Also included is a step-by-step discussion on the use of Fourier methods to solve for arbitrage-free prices when underlying price dynamics are modeled in realistic, but complex ways. Throughout the book, the author presents insight on current approaches along with comments on the unique difficulties that exist in the study of financial markets. These reflections illustrate the evolving nature of the financial field and help readers develop analytical techniques and tools to apply in their everyday work. Exercises at the end of most chapters progress in difficulty, and selected worked-out solutions are available in the appendix. In addition, numerous empirical projects utilize MATLAB® and Minitab® to demonstrate the mathematical tools of finance for modeling the behavior of prices and markets. Data sets that accompany these projects can be found via the book's FTP site. Quantitative Finance is an excellent book for courses in quantitative finance or financial engineering at the upper-undergraduate and graduate levels. It is also a valuable resource for practitioners in related fields including engineering, finance, and economics.

Quantitative Methods for Economics and Finance

Quantitative Methods for Economics and Finance
Author: J.E. Trinidad-Segovia
Publisher: MDPI
Total Pages: 418
Release: 2021-02-12
Genre: Business & Economics
ISBN: 3036501967

This book is a collection of papers for the Special Issue “Quantitative Methods for Economics and Finance” of the journal Mathematics. This Special Issue reflects on the latest developments in different fields of economics and finance where mathematics plays a significant role. The book gathers 19 papers on topics such as volatility clusters and volatility dynamic, forecasting, stocks, indexes, cryptocurrencies and commodities, trade agreements, the relationship between volume and price, trading strategies, efficiency, regression, utility models, fraud prediction, or intertemporal choice.

Quantitative Finance

Quantitative Finance
Author: Maria Cristina Mariani
Publisher: John Wiley & Sons
Total Pages: 494
Release: 2019-11-06
Genre: Business & Economics
ISBN: 1118629965

Presents a multitude of topics relevant to the quantitative finance community by combining the best of the theory with the usefulness of applications Written by accomplished teachers and researchers in the field, this book presents quantitative finance theory through applications to specific practical problems and comes with accompanying coding techniques in R and MATLAB, and some generic pseudo-algorithms to modern finance. It also offers over 300 examples and exercises that are appropriate for the beginning student as well as the practitioner in the field. The Quantitative Finance book is divided into four parts. Part One begins by providing readers with the theoretical backdrop needed from probability and stochastic processes. We also present some useful finance concepts used throughout the book. In part two of the book we present the classical Black-Scholes-Merton model in a uniquely accessible and understandable way. Implied volatility as well as local volatility surfaces are also discussed. Next, solutions to Partial Differential Equations (PDE), wavelets and Fourier transforms are presented. Several methodologies for pricing options namely, tree methods, finite difference method and Monte Carlo simulation methods are also discussed. We conclude this part with a discussion on stochastic differential equations (SDE’s). In the third part of this book, several new and advanced models from current literature such as general Lvy processes, nonlinear PDE's for stochastic volatility models in a transaction fee market, PDE's in a jump-diffusion with stochastic volatility models and factor and copulas models are discussed. In part four of the book, we conclude with a solid presentation of the typical topics in fixed income securities and derivatives. We discuss models for pricing bonds market, marketable securities, credit default swaps (CDS) and securitizations. Classroom-tested over a three-year period with the input of students and experienced practitioners Emphasizes the volatility of financial analyses and interpretations Weaves theory with application throughout the book Utilizes R and MATLAB software programs Presents pseudo-algorithms for readers who do not have access to any particular programming system Supplemented with extensive author-maintained web site that includes helpful teaching hints, data sets, software programs, and additional content Quantitative Finance is an ideal textbook for upper-undergraduate and beginning graduate students in statistics, financial engineering, quantitative finance, and mathematical finance programs. It will also appeal to practitioners in the same fields.

Computational Methods for Quantitative Finance

Computational Methods for Quantitative Finance
Author: Norbert Hilber
Publisher: Springer Science & Business Media
Total Pages: 301
Release: 2013-02-15
Genre: Mathematics
ISBN: 3642354017

Many mathematical assumptions on which classical derivative pricing methods are based have come under scrutiny in recent years. The present volume offers an introduction to deterministic algorithms for the fast and accurate pricing of derivative contracts in modern finance. This unified, non-Monte-Carlo computational pricing methodology is capable of handling rather general classes of stochastic market models with jumps, including, in particular, all currently used Lévy and stochastic volatility models. It allows us e.g. to quantify model risk in computed prices on plain vanilla, as well as on various types of exotic contracts. The algorithms are developed in classical Black-Scholes markets, and then extended to market models based on multiscale stochastic volatility, to Lévy, additive and certain classes of Feller processes. This book is intended for graduate students and researchers, as well as for practitioners in the fields of quantitative finance and applied and computational mathematics with a solid background in mathematics, statistics or economics.​

Sustainability of the Theories Developed by Mathematical Finance and Mathematical Economics with Applications

Sustainability of the Theories Developed by Mathematical Finance and Mathematical Economics with Applications
Author: Wing-Keung Wong
Publisher: MDPI
Total Pages: 382
Release: 2020-12-15
Genre: Business & Economics
ISBN: 3039365312

The topics studied in this Special Issue include a wide range of areas in finance, economics, tourism, management, marketing, and education. The topics in finance include stock market, volatility and excess returns, REIT, warrant and options, herding behavior and trading strategy, supply finance, and corporate finance. The topics in economics including economic growth, income poverty, and political economics.

Handbook of Quantitative Finance and Risk Management

Handbook of Quantitative Finance and Risk Management
Author: Cheng-Few Lee
Publisher: Springer Science & Business Media
Total Pages: 1700
Release: 2010-06-14
Genre: Business & Economics
ISBN: 0387771174

Quantitative finance is a combination of economics, accounting, statistics, econometrics, mathematics, stochastic process, and computer science and technology. Increasingly, the tools of financial analysis are being applied to assess, monitor, and mitigate risk, especially in the context of globalization, market volatility, and economic crisis. This two-volume handbook, comprised of over 100 chapters, is the most comprehensive resource in the field to date, integrating the most current theory, methodology, policy, and practical applications. Showcasing contributions from an international array of experts, the Handbook of Quantitative Finance and Risk Management is unparalleled in the breadth and depth of its coverage. Volume 1 presents an overview of quantitative finance and risk management research, covering the essential theories, policies, and empirical methodologies used in the field. Chapters provide in-depth discussion of portfolio theory and investment analysis. Volume 2 covers options and option pricing theory and risk management. Volume 3 presents a wide variety of models and analytical tools. Throughout, the handbook offers illustrative case examples, worked equations, and extensive references; additional features include chapter abstracts, keywords, and author and subject indices. From "arbitrage" to "yield spreads," the Handbook of Quantitative Finance and Risk Management will serve as an essential resource for academics, educators, students, policymakers, and practitioners.

Applied Quantitative Finance

Applied Quantitative Finance
Author: Wolfgang Karl Härdle
Publisher: Springer
Total Pages: 369
Release: 2017-08-02
Genre: Business & Economics
ISBN: 3662544865

This volume provides practical solutions and introduces recent theoretical developments in risk management, pricing of credit derivatives, quantification of volatility and copula modeling. This third edition is devoted to modern risk analysis based on quantitative methods and textual analytics to meet the current challenges in banking and finance. It includes 14 new contributions and presents a comprehensive, state-of-the-art treatment of cutting-edge methods and topics, such as collateralized debt obligations, the high-frequency analysis of market liquidity, and realized volatility. The book is divided into three parts: Part 1 revisits important market risk issues, while Part 2 introduces novel concepts in credit risk and its management along with updated quantitative methods. The third part discusses the dynamics of risk management and includes risk analysis of energy markets and for cryptocurrencies. Digital assets, such as blockchain-based currencies, have become popular b ut are theoretically challenging when based on conventional methods. Among others, it introduces a modern text-mining method called dynamic topic modeling in detail and applies it to the message board of Bitcoins. The unique synthesis of theory and practice supported by computational tools is reflected not only in the selection of topics, but also in the fine balance of scientific contributions on practical implementation and theoretical concepts. This link between theory and practice offers theoreticians insights into considerations of applicability and, vice versa, provides practitioners convenient access to new techniques in quantitative finance. Hence the book will appeal both to researchers, including master and PhD students, and practitioners, such as financial engineers. The results presented in the book are fully reproducible and all quantlets needed for calculations are provided on an accompanying website. The Quantlet platform quantlet.de, quantlet.com, quantlet.org is an integrated QuantNet environment consisting of different types of statistics-related documents and program codes. Its goal is to promote reproducibility and offer a platform for sharing validated knowledge native to the social web. QuantNet and the corresponding Data-Driven Documents-based visualization allows readers to reproduce the tables, pictures and calculations inside this Springer book.

Backward Stochastic Differential Equations

Backward Stochastic Differential Equations
Author: N El Karoui
Publisher: CRC Press
Total Pages: 236
Release: 1997-01-17
Genre: Mathematics
ISBN: 9780582307339

This book presents the texts of seminars presented during the years 1995 and 1996 at the Université Paris VI and is the first attempt to present a survey on this subject. Starting from the classical conditions for existence and unicity of a solution in the most simple case-which requires more than basic stochartic calculus-several refinements on the hypotheses are introduced to obtain more general results.

Advances in Financial Machine Learning

Advances in Financial Machine Learning
Author: Marcos Lopez de Prado
Publisher: John Wiley & Sons
Total Pages: 395
Release: 2018-01-23
Genre: Business & Economics
ISBN: 1119482119

Learn to understand and implement the latest machine learning innovations to improve your investment performance Machine learning (ML) is changing virtually every aspect of our lives. Today, ML algorithms accomplish tasks that – until recently – only expert humans could perform. And finance is ripe for disruptive innovations that will transform how the following generations understand money and invest. In the book, readers will learn how to: Structure big data in a way that is amenable to ML algorithms Conduct research with ML algorithms on big data Use supercomputing methods and back test their discoveries while avoiding false positives Advances in Financial Machine Learning addresses real life problems faced by practitioners every day, and explains scientifically sound solutions using math, supported by code and examples. Readers become active users who can test the proposed solutions in their individual setting. Written by a recognized expert and portfolio manager, this book will equip investment professionals with the groundbreaking tools needed to succeed in modern finance.

Special Issue: Knowledge Management - Current Trends and Challenges

Special Issue: Knowledge Management - Current Trends and Challenges
Author: Małgorzata Zięba
Publisher: Cognitione Foundation for the Dissemination of Knowledge and Science
Total Pages: 175
Release: 2017-01-01
Genre: Business & Economics
ISBN: 8394914454

Knowledge management (KM) has become an evolving discipline since the early 1990s, when organizations started perceiving knowledge as a valuable resource. This field of research has its origin in many disciplines, such as: information and IT management, computer science, enterprise management, organization science, human resource management and even philosophy, offering many potential research perspectives and approaches. For more than three decades, organizations of various types have been undertaking efforts to apply knowledge management, in order to benefit from a competitive advantage. Researchers and practitioners from diversified industries, and with different backgrounds, have tried to answer the question how to successfully manage knowledge, knowledge work and knowledge workers, still leaving much space for further research avenues Now, after all those years of research, some old questions have still not been answered and some new ones have arisen. During the pre-conference workshop on “The future of KM: short-time goals and long-term vision”, organized in Barcelona before the European Conference on Knowledge Management 2017 and conducted by myself and my colleague, Dr Sandra Moffett from Ulster University (UK), we asked the participants what their idea of the future of KM was. We could observe many different voices and approaches: some very pessimistic that KM is probably coming to an end, but mostly very promising that there are still many unexplored aspects of KM we should focus on and there is still a plethora of issues related to knowledge management that should be examined. Similar voices can be detected in the flagship article written by Meliha Handzic, who claims that KM definitely has a future, although it may not be without some challenges and obstacles to overcome. This paper links the past (three evolutionary stages of KM called fragmentation, integration and fusion) with the future of KM (three new trends named extension, specialization and reconceptualization). The author also suggests that KM should embrace different approaches under the “KM Conceptual Umbrella”, highlighting the possibility of addressing many themes, ideas or tools linked with knowledge. All the past and future evolutionary stages of KM are described in detail, together with the challenges that the KM field might face in the future. In the second paper, by Philip Sisson and Julie J. C. H. Ryan, the authors present a mental model of knowledge as a concept map being an input to KM research. The authors used qualitative methods, together with system engineering and object analysis methods, to collect various concepts and relate them. The issue of knowledge is elementary in knowledge management and showing the links between particular knowledge terms is of very high value to all KM researchers. Although the length of this article may constitute a challenge, it is definitely worth the effort as it illustrates many multifaceted, multilayered and multidimensional aspects of knowledge. The third paper by Karl Joachim Breunig and Hanno Roberts discusses another valid issue of value creation in the context of knowledge flow. The authors try to answer the question: How can we express knowledge in such a way that it can be monetized and made accessible to specific managerial interventions? Building on the previous extant studies and authors’ ideas, the paper points out that boundary spanners play a focal role in the monetization efforts of knowledge. In the fourth paper by Regina Lenart-Gansiniec one can read about crowdsourcing and the virtual knowledge sharing taking place in this process. The phenomenon of crowdsourcing is still under-researched and not much is known about the virtual exchange of knowledge in crowdsourcing and its benefits, such as co-creation, participation or gaining new ideas, and potential sources of innovations. Apart from the examination of the potential benefits of virtual knowledge sharing, the author also analyses ways of measuring virtual knowledge sharing in the process of crowdsourcing. The fifth paper by Kaja Prystupa concerns knowledge management processes in small entities and the role played by organizational culture. As the aim of this paper, the author set the examination of organizational culture in small Polish companies with the application of a symbiotic-interpretive perspective. Interesting outcomes of this study are: the confirmed role of organizational culture in KM initiatives, the importance of the founder and the industry, and the threat posed by organizational growth, which should be well-managed from the perspective of organizational culture so as not to hinder organizational performance. The sixth and the final paper, by David Mendes, Jorge Gomes and Mário Romão, deals with ways of creating intangible value through the use of a corporate employee portal. The authors undertake the effort to explain how such a portal fosters the creation of organizational values built on intangible assets. As the research confirms, an employee portal can be considered as a strategic tool for promoting organizational culture and cooperation, through information and communication fluxes and through the teamwork of collaborative functionalities. This issue of JEMI integrates contributions from Bosnia and Herzegovina, the United States, Norway, Poland and Portugal. I would like to express my gratitude to all the authors who contributed to this special issue, proving that knowledge management is still a valid topic, and offering abundant research opportunities. I would also like to express my sincerest thanks to the anonymous reviewers who contributed highly to the selection of the best submissions for this issue and guided the authors to further improvements in their works. Finally, I would like to pay special thanks to Dr Anna Ujwary-Gil, Editor-in-Chief of JEMI, for her kind invitation to prepare this special issue and her continual support at each stage of its preparation. I do hope that the readers of JEMI find the selected papers valuable and that they enrich their knowledge on KM issues. Additionally, I do believe that the collected works will be inspiring and offer some future directions for the examination of the knowledge management field. Dr. Małgorzata Zięba Guest Editor, JEMI Assistant Professor, Gdansk University of Technology, Poland