Financial Mathematics

Author: Giuseppe Campolieti
Publisher: CRC Press
ISBN: 1439892423
Format: PDF, Docs
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Versatile for Several Interrelated Courses at the Undergraduate and Graduate Levels Financial Mathematics: A Comprehensive Treatment provides a unified, self-contained account of the main theory and application of methods behind modern-day financial mathematics. Tested and refined through years of the authors’ teaching experiences, the book encompasses a breadth of topics, from introductory to more advanced ones. Accessible to undergraduate students in mathematics, finance, actuarial science, economics, and related quantitative areas, much of the text covers essential material for core curriculum courses on financial mathematics. Some of the more advanced topics, such as formal derivative pricing theory, stochastic calculus, Monte Carlo simulation, and numerical methods, can be used in courses at the graduate level. Researchers and practitioners in quantitative finance will also benefit from the combination of analytical and numerical methods for solving various derivative pricing problems. With an abundance of examples, problems, and fully worked out solutions, the text introduces the financial theory and relevant mathematical methods in a mathematically rigorous yet engaging way. Unlike similar texts in the field, this one presents multiple problem-solving approaches, linking related comprehensive techniques for pricing different types of financial derivatives. The book provides complete coverage of both discrete- and continuous-time financial models that form the cornerstones of financial derivative pricing theory. It also presents a self-contained introduction to stochastic calculus and martingale theory, which are key fundamental elements in quantitative finance.

Credit Securitisations and Derivatives

Author: Daniel Rösch
Publisher: John Wiley & Sons
ISBN: 1119966043
Format: PDF, ePub
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A comprehensive resource providing extensive coverage of the state of the art in credit secruritisations, derivatives, and risk management Credit Securitisations and Derivatives is a one-stop resource presenting the very latest thinking and developments in the field of credit risk. Written by leading thinkers from academia, the industry, and the regulatory environment, the book tackles areas such as business cycles; correlation modelling and interactions between financial markets, institutions, and instruments in relation to securitisations and credit derivatives; credit portfolio risk; credit portfolio risk tranching; credit ratings for securitisations; counterparty credit risk and clearing of derivatives contracts and liquidity risk. As well as a thorough analysis of the existing models used in the industry, the book will also draw on real life cases to illustrate model performance under different parameters and the impact that using the wrong risk measures can have.

The Heston Model and Its Extensions in VBA

Author: Fabrice D. Rouah
Publisher: John Wiley & Sons
ISBN: 111900330X
Format: PDF, Mobi
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Practical options pricing for better-informed investment decisions. The Heston Model and Its Extensions in VBA is the definitive guide to options pricing using two of the derivatives industry's most powerful modeling tools—the Heston model, and VBA. Light on theory, this extremely useful reference focuses on implementation, and can help investors more efficiently—and accurately—exploit market information to better inform investment decisions. Coverage includes a description of the Heston model, with specific emphasis on equity options pricing and variance modeling, The book focuses not only on the original Heston model, but also on the many enhancements and refinements that have been applied to the model, including methods that use the Fourier transform, numerical integration schemes, simulation, methods for pricing American options, and much more. The companion website offers pricing code in VBA that resides in an extensive set of Excel spreadsheets. The Heston model is the derivatives industry's most popular stochastic volatility model for pricing equity derivatives. This book provides complete guidance toward the successful implementation of this valuable model using the industry's ubiquitous financial modeling software, giving users the understanding—and VBA code—they need to produce option prices that are more accurate, and volatility surfaces that more closely reflect market conditions. Derivatives pricing is often the hinge on which profit is made or lost in financial institutions, making accuracy of utmost importance. This book will help risk managers, traders, portfolio managers, quants, academics and other professionals better understand the Heston model and its extensions, in a writing style that is clear, concise, transparent and easy to understand. For better pricing accuracy, The Heston Model and Its Extensions in VBA is a crucial resource for producing more accurate model outputs such as prices, hedge ratios, volatilities, and graphs.

Mathematical Techniques in Finance

Author: Ales Cerný
Publisher: Princeton University Press
ISBN: 1400831482
Format: PDF, ePub, Mobi
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Originally published in 2003, Mathematical Techniques in Finance has become a standard textbook for master's-level finance courses containing a significant quantitative element while also being suitable for finance PhD students. This fully revised second edition continues to offer a carefully crafted blend of numerical applications and theoretical grounding in economics, finance, and mathematics, and provides plenty of opportunities for students to practice applied mathematics and cutting-edge finance. Ales Cerný mixes tools from calculus, linear algebra, probability theory, numerical mathematics, and programming to analyze in an accessible way some of the most intriguing problems in financial economics. The textbook is the perfect hands-on introduction to asset pricing, optimal portfolio selection, risk measurement, and investment evaluation. The new edition includes the most recent research in the area of incomplete markets and unhedgeable risks, adds a chapter on finite difference methods, and thoroughly updates all bibliographic references. Eighty figures, over seventy examples, twenty-five simple ready-to-run computer programs, and several spreadsheets enhance the learning experience. All computer codes have been rewritten using MATLAB and online supplementary materials have been completely updated. A standard textbook for graduate finance courses Introduction to asset pricing, portfolio selection, risk measurement, and investment evaluation Detailed examples and MATLAB codes integrated throughout the text Exercises and summaries of main points conclude each chapter


Author: Nuno Fernandes
Publisher: NPVPublishing
ISBN: 9899885401
Format: PDF
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The book Finance for Executives: A Practical Guide for Managers meets the needs of global executives, both finance as well as non-financial managers. It is a practical and fundamental finance reference book for any manager, as it makes a perfect balance of financial management theory and practice. It focuses on corporate finance concepts from value creation to derivatives, including cost of capital (and WACC), valuation, financing policies, project evaluation, and many other essential finance definitions. Finance for Executives makes finance simple and intuitive, through the use of real world data (brief company case studies and empirical examples of concepts), Excel financial modelling tools, and practical short chapters. Target Audience This finance book is appropriate for business executives, from all backgrounds, seeking to Focus on the links between financial management and the strategy of their company, be it a private or publicly traded company Discover how to create value for their company and boost its financial performance Understand the key topics of corporate finance for non-financial managers Create a cost of capital culture within a company Refresh and broaden their understanding of the latest financial concepts and tools Learn about financial management for decision makers - including financing and dividend policies, company valuation, mergers and acquisitions (M&As), project evaluation, cost of capital (WACC) estimation, or risk management and derivatives Finance for Executives is suited as a finance textbook for corporate finance programs, executive education courses, as well as in MBA, master's, and executive MBA programs. Indeed, the book is based on many years of executive education and consulting with world-class corporations from all continents of the world. What Is This Book About? Finance should be fun, and practical as well. With this book at hand, you will have access to a set of tools that will help you develop your intuition for solving key financial problems, improve your business decisions, and formulate strategies. This finance for managers' reference book is based on Simplicity - The core concepts in corporate finance are simple, and will become intuitively clear after using this book Conciseness - The chapters are short and self-contained to appeal to busy executives who are keen on value-added activities Practical focus - The key concepts of financial management are explained (and linked to Excel modelling tools), while you learn to identify the problems and pitfalls of different managerial choices Application of theory to practice - It highlights key academic research results that are relevant for practitioners Real-world focus - The book includes empirical data on several companies and industries around the world. Working with real-world problems and real-world data is more fruitful than theoretical discussions on formulas Excel Templates An Excel spreadsheet containing all the financial models used in the different chapters is available for download from the book's website. Practitioners will find the file easy to customize to their own requirements. It is useful in a variety of situations: value creation and its decomposition into managerial drivers or key performance indicators (KPIs), cost of capital (WACC) estimation, project evaluation, mergers and acquisitions, company valuation, derivatives valuation, etc. Editorial Reviews An excellent teach-yourself finance primer for non-financial executives, and, I dare say, even for most finance executives. Ravi Kant, Vice Chairman, Tata Motors, India The finance reference book for the desk of ANY manager. Michel Demaré, Chairman of the Board, Syngenta, Switzerland The perfect balance of practice and theory. Geert Bekaert, Professor of Finance, Columbia Business School, USA A key tool to improve your business decisions. Thilo Mannhardt, CEO of Ultrapar, Brazil Finance for Executives is easy to follow, and makes a boring subject actually quite exciting. Severin Schwan, CEO, Roche Group, Switzerland A must-have for your list of favorites. José Manuel Campa, Professor of Finance, IESE Business School, Spain

Computational Finance

Author: Argimiro Arratia
Publisher: Springer Science & Business Media
ISBN: 9462390703
Format: PDF, Mobi
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The book covers a wide range of topics, yet essential, in Computational Finance (CF), understood as a mix of Finance, Computational Statistics, and Mathematics of Finance. In that regard it is unique in its kind, for it touches upon the basic principles of all three main components of CF, with hands-on examples for programming models in R. Thus, the first chapter gives an introduction to the Principles of Corporate Finance: the markets of stock and options, valuation and economic theory, framed within Computation and Information Theory (e.g. the famous Efficient Market Hypothesis is stated in terms of computational complexity, a new perspective). Chapters 2 and 3 give the necessary tools of Statistics for analyzing financial time series, it also goes in depth into the concepts of correlation, causality and clustering. Chapters 4 and 5 review the most important discrete and continuous models for financial time series. Each model is provided with an example program in R. Chapter 6 covers the essentials of Technical Analysis (TA) and Fundamental Analysis. This chapter is suitable for people outside academics and into the world of financial investments, as a primer in the methods of charting and analysis of value for stocks, as it is done in the financial industry. Moreover, a mathematical foundation to the seemly ad-hoc methods of TA is given, and this is new in a presentation of TA. Chapter 7 reviews the most important heuristics for optimization: simulated annealing, genetic programming, and ant colonies (swarm intelligence) which is material to feed the computer savvy readers. Chapter 8 gives the basic principles of portfolio management, through the mean-variance model, and optimization under different constraints which is a topic of current research in computation, due to its complexity. One important aspect of this chapter is that it teaches how to use the powerful tools for portfolio analysis from the RMetrics R-package. Chapter 9 is a natural continuation of chapter 8 into the new area of research of online portfolio selection. The basic model of the universal portfolio of Cover and approximate methods to compute are also described.