# krainaksiazek mathematical models of financial derivatives 20126133

- znaleziono 18 produktów w 2 sklepach

### Mathematical Models Of Financial Derivatives

**Książki Obcojęzyczne>Angielskie>Mathematics & science>Mathematics>Applied mathematics>Mathematical modellingKsiążki Obcojęzyczne>Ang...**

This Book Contains A Comprehensive Account Of Pricing Models Of Financial Derivatives. It Covers Risk Neutral Valuation Theory, Martingale Measure, And Tools In Stochastic Calculus Required For The Understanding Of Option Pricing Theory.

Sklep: Gigant.pl

### Financial Derivatives Modeling Springer, Berlin

**Książki / Literatura obcojęzyczna**

The book gives a comprehensive introduction to the modeling of financial derivatives, covering all major asset classes (equities, commodities, interest rates and foreign exchange) and stretching from Black and Scholes' lognormal modeling to current-day research on skew and smile models. The intended reader has a solid mathematical background and is a graduate/final-year undergraduate student specializing in Mathematical Finance, or works at a financial institution such as an investment bank or a hedge fund.

Sklep: Libristo.pl

### Mathematics of Financial Derivatives Cambridge University Press

**Książki / Literatura obcojęzyczna**

Finance is one of the fastest growing areas in the modern banking and corporate world. This, together with the sophistication of modern financial products, provides a rapidly growing impetus for new mathematical models and modern mathematical methods; the area is an expanding source for novel and relevant 'real-world' mathematics. In this book the authors describe the modelling of financial derivative products from an applied mathematician's viewpoint, from modelling through analysis to elementary computation. A unified approach to modelling derivative products as partial differential equations is presented, using numerical solutions where appropriate. Some mathematics is assumed, but clear explanations are provided for material beyond elementary calculus, probability, and algebra. Over 140 exercises are included. This volume will become the standard introduction to this exciting new field for advanced undergraduate students.

Sklep: Libristo.pl

### Problems and Solutions in Mathematical Finance Wiley

**Książki / Literatura obcojęzyczna**

Your complete guide to mastering basic and advanced techniques for interest rate derivative modeling and pricing Interest rate trading constitutes the largest sector of the world derivatives market. Interest rate contracts are a much valued risk management tool used by the majority of the world's largest companies. But interest rate derivative modeling and pricing are extremely challenging tasks, requiring a thorough knowledge and practical expertise in advanced discrete and continuous mathematical modeling methods--practical knowledge which can only be gained through extensive problem solving and the application of contemporary interest rate tools and models to an array of market scenarios. Authored by a distinguished team of quantitative analysts with extensive experience in the field, this second volume in the landmark Problems and Solutions in Mathematical Finance offers you a quick, painless way to acquire that knowledge and expertise. The only book offering a problems-and-solutions approach to teaching interest rate and inflation index derivatives modelling Walks you step-by-step through the theoretical aspects of interest rate and inflation indexed derivatives as well as broad range real-world problems Extremely practical, it bridges the gap between mathematical theory and the everyday reality of the financial markets An ideal text for quantitative finance students and an essential go-to resource for busy practitioners looking to refresh their knowledge and enhance their practical expertise

Sklep: Libristo.pl

### Monte Carlo Methods in Financial Engineering Springer, Berlin

**Książki / Literatura obcojęzyczna**

From the reviews: "Paul Glasserman has written an astonishingly good book that bridges financial engineering and the Monte Carlo method. The book will appeal to graduate students, researchers, and most of all, practicing financial engineers [...] So often, financial engineering texts are very theoretical. This book is not." --Glyn Holton, Contingency AnalysisMonte Carlo simulation has become an essential tool in the pricing of derivative securities and in risk management. These applications have, in turn, stimulated research into new Monte Carlo methods and renewed interest in some older techniques.§This book develops the use of Monte Carlo methods in finance and it also uses simulation as a vehicle for presenting models and ideas from financial engineering. It divides roughly into three parts. The first part develops the fundamentals of Monte Carlo methods, the foundations of derivatives pricing, and the implementation of several of the most important models used in financial engineering. The next part describes techniques for improving simulation accuracy and efficiency. The final third of the book addresses special topics: estimating price sensitivities, valuing American options, and measuring market risk and credit risk in financial portfolios.§The most important prerequisite is familiarity with the mathematical tools used to specify and analyze continuous-time models in finance, in particular the key ideas of stochastic calculus. Prior exposure to the basic principles of option pricing is useful but not essential.§The book is aimed at graduate students in financial engineering, researchers in Monte Carlo simulation, and practitioners implementing models in industry.

Sklep: Libristo.pl

### Course in Financial Calculus Cambridge University Press

**Książki / Literatura obcojęzyczna**

Finance provides a dramatic example of the successful application of advanced mathematical techniques to the practical problem of pricing financial derivatives. This self-contained 2002 text is designed for first courses in financial calculus aimed at students with a good background in mathematics. Key concepts such as martingales and change of measure are introduced in the discrete time framework, allowing an accessible account of Brownian motion and stochastic calculus: proofs in the continuous-time world follow naturally. The Black-Scholes pricing formula is first derived in the simplest financial context. The second half of the book is then devoted to increasing the financial sophistication of the models and instruments. The final chapter introduces more advanced topics including stock price models with jumps, and stochastic volatility. A valuable feature is the large number of exercises and examples, designed to test technique and illustrate how the methods and concepts can be applied to realistic financial questions.

Sklep: Libristo.pl

### A Course in Financial Calculus Cambridge University Press

**Książki / Literatura obcojęzyczna**

Finance provides a dramatic example of the successful application of advanced mathematical techniques to the practical problem of pricing financial derivatives. This self-contained 2002 text is designed for first courses in financial calculus aimed at students with a good background in mathematics. Key concepts such as martingales and change of measure are introduced in the discrete time framework, allowing an accessible account of Brownian motion and stochastic calculus: proofs in the continuous-time world follow naturally. The Black-Scholes pricing formula is first derived in the simplest financial context. The second half of the book is then devoted to increasing the financial sophistication of the models and instruments. The final chapter introduces more advanced topics including stock price models with jumps, and stochastic volatility. A valuable feature is the large number of exercises and examples, designed to test technique and illustrate how the methods and concepts can be applied to realistic financial questions.

Sklep: Libristo.pl

### Financial Engineering With Copulas Explained

**Książki Obcojęzyczne>Angielskie>Mathematics & science>Mathematics>Applied mathematics>Mathematical modellingKsiążki Obcojęzyczne>Ang...**

This Is A Succinct Guide To The Application And Modelling Of Dependence Models Or Copulas In The Financial Markets. First Applied To Credit Risk Modelling, Copulas Are Now Widely Used Across A Range Of Derivatives Transactions, Asset Pricing Techniques An

Sklep: Gigant.pl

### Interest Rate Models UNIVERSITY PRESSES

**Książki / Literatura obcojęzyczna**

The field of financial mathematics has developed tremendously over the past thirty years, and the underlying models that have taken shape in interest rate markets and bond markets, being much richer in structure than equity-derivative models, are particularly fascinating and complex. This book introduces the tools required for the arbitrage-free modelling of the dynamics of these markets. Andrew Cairns addresses not only seminal works but also modern developments. Refreshingly broad in scope, covering numerical methods, credit risk, and descriptive models, and with an approachable sequence of opening chapters, "Interest Rate Models" will make readers - be they graduate students, academics, or practitioners - confident enough to develop their own interest rate models or to price nonstandard derivatives using existing models. The mathematical chapters begin with the simple binomial model that introduces many core ideas. But the main chapters work their way systematically through all of the main developments in continuous-time interest rate modelling. This book describes fully the broad range of approaches to interest rate modelling: short-rate models, no-arbitrage models, the Heath-Jarrow-Morton framework, multifactor models, forward measures, positive-interest models, and market models. Later chapters cover some related topics, including numerical methods, credit risk, and model calibration. Significantly, this book develops the martingale approach to bond pricing in detail, concentrating on risk-neutral pricing, before later exploring recent advances in interest rate modelling where different pricing measures are important.

Sklep: Libristo.pl

### Credit Risk: Modeling, Valuation and Hedging Springer, Berlin

**Książki / Literatura obcojęzyczna**

The motivation for the mathematical modeling studied in this text on developments in credit risk research is the bridging of the gap between mathematical theory of credit risk and the financial practice. Mathematical developments are covered thoroughly and give the structural and reduced-form approaches to credit risk modeling. Included is a detailed study of various arbitrage-free models of default term structures with several rating grades.Mathematical finance and financial engineering have been rapidly expanding fields of science over the past three decades. The main reason behind this phenomenon has been the success of sophisticated quantitative methodologies in helping professionals to manage financial risks. The newly developed credit derivatives industry has grown around the need to handle credit risk, which is one of the fundamental factors of financial risk. In recent years, we have witnessed a tremendous acceleration in research efforts aimed at better apprehending, modeling and hedging of this kind of risk. One of the objectives has been to understand links between credit risk and other major sources of uncertainty, such as the market risk or the liquidity risk. The main objective of this monograph is to present a comprehensive survey ofthe past developments in the area of credit risk research, as well as put forth the most recent advancements in this field. An important aspect of this text is that it attempts to bridge the gap between the mathematical theory of credit risk and the financial practice, which serves as the motivation for the mathematical modeling studied in the book. Mahtematical developments are presented in a thorough manner and cover the structural (value-of-the-firm) and the reduced-form (intensity-based) approaches to credit risk modeling, applied both to single and to multiple defaults. In particular, the book offers a detailed study of various arbitrage-free models of defaultable term structures with several rating grades. This book will serve as a valuable reference for financial analysts and traders involved with credit derivatives. Some aspects of the book may also be useful for market practitioners with managing credit-risk sensitives portfolios. Graduate students and researchers in areas such as finance theory, mathematical finance, financial engineering and probability theory will benefit from the book as well. On the technical side, readers are assumed to be familiar with graduate level probability theory, theory of stochastic processes, and elements of stochastic analysis and PDEs; some acquaintance with arbitrage pricing theory is also

Sklep: Libristo.pl

### A Benchmark Approach to Quantitative Finance Springer, Berlin

**Książki / Literatura obcojęzyczna**

The benchmark approach provides a general framework for financial market modeling, which extends beyond the standard risk neutral pricing theory. It permits a unified treatment of portfolio optimization, derivative pricing, integrated risk management and insurance risk modeling. The existence of an equivalent risk-neutral pricing measure is not required. Instead, it leads to pricing formulae with respect to the real world probability measure. This yields important modeling freedom which turns out to be necessary for the derivation of realistic, parsimonious market models. The first part of the book describes the necessary tools from probability theory, statistics, stochastic calculus and the theory of stochastic differential equations with jumps. The second part is devoted to financial modeling under the benchmark approach. Various quantitative methods for the fair pricing and hedging of derivatives are explained. The general framework is used to provide an understanding of the nature of stochastic volatility. The book is intended for a wide audience that includes quantitative analysts, postgraduate students and practitioners in finance, economics and insurance. It aims to be a self-contained, accessible but mathematically rigorous introduction to quantitative finance for readers that have a reasonable mathematical or quantitative background. Finally, the book should stimulate interest in the benchmark approach by describing some of its power and wide applicability.A framework for financial market modeling, the benchmark approach extends beyond standard risk neutral pricing theory. It permits a unified treatment of portfolio optimization, derivative pricing, integrated risk management and insurance risk modeling. This book presents the necessary mathematical tools, followed by a thorough introduction to financial modeling under the benchmark approach, explaining various quantitative methods for the fair pricing and hedging of derivatives.The benchmark approach provides a general framework for financial market modeling, which extends beyond the standard risk-neutral pricing theory. It permits a unified treatment of portfolio optimization, derivative pricing, integrated risk management and insurance risk modeling. The existence of an equivalent risk-neutral pricing measure is not required. Instead, it leads to pricing formulae with respect to the real-world probability measure. This yields important modeling freedom which turns out to be necessary for the derivation of realistic, parsimonious market models. The first part of the book describes the necessary tools from probability theory, statistics, stochastic calculus and the theory of stochastic differential equations with jumps. The second part is devoted to financial modeling by the benchmark approach. Various quantitative methods for the real-world pricing and hedging of derivatives are explained. The general framework is used to provide an understanding of the nature of stochastic volatility. The book is intended for a wide audience that includes quantitative analysts, postgraduate students and practitioners in finance, economics and insurance. It aims to be a self-contained, accessible but mathematically rigorous introduction to quantitative finance for readers that have a reasonable mathematical or quantitative background. Finally, the book should stimulate interest in the benchmark approach by describing some of its power and wide applicability.

Sklep: Libristo.pl

### Options, Futures and Exotic Derivative Assets JOHN WILEY & SONS LTD

**Książki / Literatura obcojęzyczna**

"Over the past two decades, the mathematically complex models of finance theory have had a direct and wide--ranging influence on finance practice. Nowhere is this conjoining of intrinsic intellectual interest with extrinsic application better exemplified than in derivative--security pricing. The backgrounds of the authors of Options, Futures and Exotic Derivatives fit perfectly this pattern of combining theory and practice and so does their book. The range and depth of subject matter show excellent taste for what is essential to know the field and what is relevant and important to its application in the financial world. In addition to its fine subject--defining, the book delivers on subject--content, with rigorous derivations presented in a clear, direct voice for the serious student, whether academic or practitioner. To the reader: Bon Appetit!" Robert C. Merton, Harvard Business School Long--Term Capital Management, L.P. "One of the merits of this book is that it is self--contained. It is both a textbook and a reference book. It covers the basics of the theory, as well as the techniques for valuation of many of the more exotic derivatives. It contains a detailed knowledge of the field. What is more, however, it is written with a deep understanding of the economics of finance." From the Foreword by Oldrich Alfons Vasicek "The authors have done an admirable job at distilling what is relevant in option research in one single volume. I wish Ia d had the chance to read it before writing my own book." Nassim Taleb, veteran option arbitrageur and bestselling author of Dynamic Hedging: Managing Vanilla and Exotic Options "This is a delightful promenade in derivatives land. The book is encyclopaedic yet crisp and inspired. It is the story -- told in equations -- of the charms and spells of options and their underlying mathematics." Jamil Baz, Head of Financial Strategies, Lehman Brothers Europe Building steadily from the basic mathematical tools to the very latest techniques in exotic options, Options, Futures and Exotic Derivatives covers all aspects of the most innovative and rapidly developing area of international financial markets -- the world of over--the--counter and tailor--made derivative asset pricing. Written by a globally renowned team of authors this book offers comprehensive coverage of exotic derivative assets and aeo Deals with numerous new forms of exotic options and option pricing aeo Provides detailed explanations of different models and numerical methods aeo Offers a deep understanding of the economics of finance With questions and review sections throughout, Options, Futures and Exotic Derivatives provides a thorough introduction to a crucial and expanding area in the world of finance for both finance students and practitioners.

Sklep: Libristo.pl

### Handbook of High-Frequency Trading and Modeling in Finance John Wiley & Sons Inc

**Książki / Literatura obcojęzyczna**

A comprehensive collection of up-to-date empirical and analytical research within high-frequency finance§§Reflecting the fast pace and ever-evolving nature of the financial industry, the Handbook of High-Frequency Trading and Modeling in Finance details how high-frequency analysis presents new systematic approaches to implementing quantitative activities with high-frequency financial data.§§Introducing the mathematical foundations necessary to analyze realistic market models and scenarios, the handbook begins with a presentation of the dynamics and complexity of futures and derivatives markets as well as the portfolio optimization problem using quantum computers. Subsequently, the handbook addresses estimating complex model parameters using high-frequency data. Finally, the handbook focuses on the links between models used in financial markets and models used in other research areas such as geophysics, fossil records, and earthquake studies.The Handbook of High-Frequency Trading and Modeling in Finance also features:§Contributions by well-known experts within the academic, industrial, and regulatory fields§A well-structured outline on the various data analysis methodologies used to identify new trading opportunities§Newly-emerging quantitative tools that address growing concerns relating to high-frequency data such as stochastic volatility and volatility tracking; stochastic jump processes for limit-order books and broader market indicators; and option markets§Multiple practical applications using real-world data to help readers better understand the presented material§The Handbook of High-Frequency Trading and Modeling in Finance is an excellent reference for professionals in the fields of business, applied statistics, econometrics, and financial engineering. The handbook is also an ideal supplement for graduate and MBA-level courses on quantitative finance, volatility, and financial econometrics.

Sklep: Libristo.pl

### Greeks and Hedging Explained PALGRAVE MACMILLAN

**Książki / Literatura obcojęzyczna**

Most books on financial derivatives focus on either the investment side of the business or on the mathematical models to price them. However, there is a gap between how quantitative researchers, analysts, structurers, risk managers and traders look and communicate on derivatives problems. In particular there often is a strong emphasis on pricing rather than hedging or risk management. This book fills a gap for a technical but not impenetrable guide to hedging options, and the 'Greek' (Theta, Vega, Rho, and Lambda) parameters that represent the sensitivity of derivatives prices. Taking the viewpoint of the front office practitioner, the book introduces the various option hedging strategies and the mathematics behind them in a concise but thorough manner. The book begins at an elementary level, with an introduction to the Black-Scholes formula (upon which most quantitative finance is built) from a practitioner perspective. The Greeks and Hedging Explained then develops the many themes that are omitted from many textbooks but which actually make up most of what happens in practice - including the effect of day conventions, interest rates and sticky deltas. The book features numerous illustrations, worked examples and, where appropriate, highlights market conventions over academic assumption. The Greeks and Hedging Explained is a welcome addition to the Financial Engineering Explained series and will serve as a foundation text for some of the more complex titles in the series.

Sklep: Libristo.pl

### Quantitative Risk Management UNIVERSITY PRESSES

**Książki / Literatura obcojęzyczna**

The implementation of sound quantitative risk models is a vital concern for all financial institutions, and this trend has accelerated in recent years with regulatory processes such as Basel II. This book provides a comprehensive treatment of the theoretical concepts and modelling techniques of quantitative risk management and equips readers - whether financial risk analysts, actuaries, regulators, or students of quantitative finance - with practical tools to solve real-world problems. The authors cover methods for market, credit, and operational risk modelling; place standard industry approaches on a more formal footing; and describe recent developments that go beyond, and address main deficiencies of, current practice. The book's methodology draws on diverse quantitative disciplines, from mathematical finance through statistics and econometrics to actuarial mathematics. Main concepts discussed include loss distributions, risk measures, and risk aggregation and allocation principles. A main theme is the need to satisfactorily address extreme outcomes and the dependence of key risk drivers. The techniques required derive from multivariate statistical analysis, financial time series modelling, copulas, and extreme value theory. A more technical chapter addresses credit derivatives. Based on courses taught to masters students and professionals, this book is a unique and fundamental reference that is set to become a standard in the field.

Sklep: Libristo.pl

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