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Author: Eric Chin Publisher: Wiley ISBN: 9781119965817 Category : Business & Economics Languages : en Pages : 0
Book Description
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
Author: Eric Chin Publisher: Wiley ISBN: 9781119965817 Category : Business & Economics Languages : en Pages : 0
Book Description
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
Author: Eric Chin Publisher: John Wiley & Sons ISBN: 1119966116 Category : Business & Economics Languages : en Pages : 856
Book Description
Detailed guidance on the mathematics behind equity derivatives Problems and Solutions in Mathematical Finance Volume II is an innovative reference for quantitative practitioners and students, providing guidance through a range of mathematical problems encountered in the finance industry. This volume focuses solely on equity derivatives problems, beginning with basic problems in derivatives securities before moving on to more advanced applications, including the construction of volatility surfaces to price exotic options. By providing a methodology for solving theoretical and practical problems, whilst explaining the limitations of financial models, this book helps readers to develop the skills they need to advance their careers. The text covers a wide range of derivatives pricing, such as European, American, Asian, Barrier and other exotic options. Extensive appendices provide a summary of important formulae from calculus, theory of probability, and differential equations, for the convenience of readers. As Volume II of the four-volume Problems and Solutions in Mathematical Finance series, this book provides clear explanation of the mathematics behind equity derivatives, in order to help readers gain a deeper understanding of their mechanics and a firmer grasp of the calculations. Review the fundamentals of equity derivatives Work through problems from basic securities to advanced exotics pricing Examine numerical methods and detailed derivations of closed-form solutions Utilise formulae for probability, differential equations, and more Mathematical finance relies on mathematical models, numerical methods, computational algorithms and simulations to make trading, hedging, and investment decisions. For the practitioners and graduate students of quantitative finance, Problems and Solutions in Mathematical Finance Volume II provides essential guidance principally towards the subject of equity derivatives.
Author: Eric Chin Publisher: Wiley ISBN: 9781119965800 Category : Business & Economics Languages : en Pages : 0
Book Description
A practical problem solving reference for commodity and Forex derivatives Problems and Solutions in Mathematical Finance provides an innovative reference for quantitative finance students and practitioners. Using a unique problem-solving approach, this invaluable guide bridges the gap between the theoretical and practical to impart a deeper understanding of the mathematical problems encountered in the finance industry. Volume IV: Commodity and Foreign Exchange Derivatives breaks down the complexity of the topic by walking you step-by-step through a variety of modelling problems. Building skill upon skill, you'll work through a series of problems of increasing difficulty as you learn both the strategy and mechanics behind each solution. Coverage includes both theoretical and real-world problems, using stochastic calculus, probability theory and statistics, as well as an assumed understanding of exotic option and interest rate models covered in volumes II and III. Financial institutions rely on quantitative analysis to inform decision making on trading, hedging, investing, risk management and pricing. This book provides both instruction and reference from a highly practical perspective, giving you a highly applicable real-world skillset. Fully grasp the fundamentals of commodity and foreign exchange derivatives Follow mathematical modelling processes step-by-step Link theory to real-world problems through guided problem-solving Test your knowledge and skills with increasingly complex problem sets Commodity and Foreign Exchange Derivatives are a complex, nuanced area in the quantitative finance realm. Simply reading about these instruments fails to convey the level of understanding required to work with them; in the real-world, quants draw upon an in-depth knowledge of both finance and mathematics every day. Problems and Solutions in Mathematical Finance provides practical reference and problem-solving skills for anyone learning or working in quantitative finance.
Author: Guojun Gan Publisher: John Wiley & Sons ISBN: 1118831969 Category : Mathematics Languages : en Pages : 54
Book Description
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.
Author: Eric Chin Publisher: John Wiley & Sons ISBN: 1119966078 Category : Business & Economics Languages : en Pages : 400
Book Description
Mathematical finance requires the use of advanced mathematicaltechniques drawn from the theory of probability, stochasticprocesses and stochastic differential equations. These areas aregenerally introduced and developed at an abstract level, making itproblematic when applying these techniques to practical issues infinance. Problems and Solutions in Mathematical Finance Volume I:Stochastic Calculus is the first of a four-volume set ofbooks focusing on problems and solutions in mathematicalfinance. This volume introduces the reader to the basic stochasticcalculus concepts required for the study of this important subject,providing a large number of worked examples which enable the readerto build the necessary foundation for more practical orientatedproblems in the later volumes. Through this application and byworking through the numerous examples, the reader will properlyunderstand and appreciate the fundamentals that underpinmathematical finance. Written mainly for students, industry practitioners and thoseinvolved in teaching in this field of study, StochasticCalculus provides a valuable reference book to complementone’s further understanding of mathematical finance.
Author: Eric Chin Publisher: John Wiley & Sons ISBN: 1119965837 Category : Business & Economics Languages : en Pages : 404
Book Description
Mathematical finance requires the use of advanced mathematical techniques drawn from the theory of probability, stochastic processes and stochastic differential equations. These areas are generally introduced and developed at an abstract level, making it problematic when applying these techniques to practical issues in finance. Problems and Solutions in Mathematical Finance Volume I: Stochastic Calculus is the first of a four-volume set of books focusing on problems and solutions in mathematical finance. This volume introduces the reader to the basic stochastic calculus concepts required for the study of this important subject, providing a large number of worked examples which enable the reader to build the necessary foundation for more practical orientated problems in the later volumes. Through this application and by working through the numerous examples, the reader will properly understand and appreciate the fundamentals that underpin mathematical finance. Written mainly for students, industry practitioners and those involved in teaching in this field of study, Stochastic Calculus provides a valuable reference book to complement one’s further understanding of mathematical finance.
Author: Cornelis W Oosterlee Publisher: World Scientific ISBN: 1786347962 Category : Business & Economics Languages : en Pages : 1310
Book Description
This book discusses the interplay of stochastics (applied probability theory) and numerical analysis in the field of quantitative finance. The stochastic models, numerical valuation techniques, computational aspects, financial products, and risk management applications presented will enable readers to progress in the challenging field of computational finance.When the behavior of financial market participants changes, the corresponding stochastic mathematical models describing the prices may also change. Financial regulation may play a role in such changes too. The book thus presents several models for stock prices, interest rates as well as foreign-exchange rates, with increasing complexity across the chapters. As is said in the industry, 'do not fall in love with your favorite model.' The book covers equity models before moving to short-rate and other interest rate models. We cast these models for interest rate into the Heath-Jarrow-Morton framework, show relations between the different models, and explain a few interest rate products and their pricing.The chapters are accompanied by exercises. Students can access solutions to selected exercises, while complete solutions are made available to instructors. The MATLAB and Python computer codes used for most tables and figures in the book are made available for both print and e-book users. This book will be useful for people working in the financial industry, for those aiming to work there one day, and for anyone interested in quantitative finance. The topics that are discussed are relevant for MSc and PhD students, academic researchers, and for quants in the financial industry.Supplementary Material:Solutions Manual is available to instructors who adopt this textbook for their courses. Please contact [email protected].
Author: Mark Suresh Joshi Publisher: Cambridge University Press ISBN: 9780521823555 Category : Business & Economics Languages : en Pages : 496
Book Description
For those starting out as practitioners of mathematical finance, this is an ideal introduction. It provides the reader with a clear understanding of the intuition behind derivatives pricing, how models are implemented, and how they are used and adapted in practice. Strengths and weaknesses of different models, e.g. Black-Scholes, stochastic volatility, jump-diffusion and variance gamma, are examined. Both the theory and the implementation of the industry-standard LIBOR market model are considered in detail. Uniquely, the book includes extensive discussion of the ideas behind the models, and is even-handed in examining various approaches to the subject. Thus each pricing problem is solved using several methods. Worked examples and exercises, with answers, are provided in plenty, and computer projects are given for many problems. The author brings to this book a blend of practical experience and rigorous mathematical background, and supplies here the working knowledge needed to become a good quantitative analyst.
Author: Mark Suresh Joshi Publisher: ISBN: 9780987122803 Category : Business & Economics Languages : en Pages : 484
Book Description
The long-awaited sequel to the "Concepts and Practice of Mathematical Finance" has now arrived. Taking up where the first volume left off, a range of topics is covered in depth. Extensive sections include portfolio credit derivatives, quasi-Monte Carlo, the calibration and implementation of the LIBOR market model, the acceleration of binomial trees, the Fourier transform in option pricing and much more. Throughout Mark Joshi brings his unique blend of theory, lucidity, practicality and experience to bear on issues relevant to the working quantitative analyst. "More Mathematical Finance" is Mark Joshi's fourth book. His previous books including "C++ Design Patterns and Derivatives Pricing" and "Quant Job Interview Questions and Answers" have proven to be indispensable for individuals seeking to become quantitative analysts. His new book continues this trend with a clear exposition of a range of models and techniques in the field of derivatives pricing. Each chapter is accompanied by a set of exercises. These are of a variety of types including simple proofs, complicated derivations and computer projects. Chapter 1. Optionality, convexity and volatility 1 Chapter 2. Where does the money go? 9 Chapter 3. The Bachelier model 23 Chapter 4. Deriving the Delta 29 Chapter 5. Volatility derivatives and model-free dynamic replication 33 Chapter 6. Credit derivatives 41 Chapter 7. The Monte Carlo pricing of portfolio credit derivatives 53 Chapter 8. Quasi-analytic methods for pricing portfolio credit derivatives 71 Chapter 9. Implied correlation for portfolio credit derivatives 81 Chapter 10. Alternate models for portfolio credit derivatives 93 Chapter 11. The non-commutativity of discretization 113 Chapter 12. What is a factor? 129 Chapter 13. Early exercise and Monte Carlo Simulation 151 Chapter 14. The Brownian bridge 175 Chapter 15. Quasi Monte Carlo Simulation 185 Chapter 16. Pricing continuous barrier options using a jump-diffusion model 207 Chapter 17. The Fourier-Laplace transform and option pricing 219 Chapter 18. The cos method 253 Chapter 19. What are market models? 265 Chapter 20. Discounting in market models 281 Chapter 21. Drifts again 293 Chapter 22. Adjoint and automatic Greeks 307 Chapter 23. Estimating correlation for the LIBOR market model 327 Chapter 24. Swap-rate market models 341 Chapter 25. Calibrating market models 363 Chapter 26. Cross-currency market models 389 Chapter 27. Mixture models 401 Chapter 28. The convergence of binomial trees 407 Chapter 29. Asymmetry in option pricing 433 Chapter 30. A perfect model? 443 Chapter 31. The fundamental theorem of asset pricing. 449 Appendix A. The discrete Fourier transform 457 Praise for the Concepts and Practice of Mathematical Finance: "overshadows many other books available on the same subject" -- ZentralBlatt Math "Mark Joshi succeeds admirably - an excellent starting point for a numerate person in the field of mathematical finance." -- Risk Magazine "Very few books provide a balance between financial theory and practice. This book is one of the few books that strikes that balance." -- SIAM Review
Author: Eric Chin
Author: Eric Chin
Author: Eric Chin
Author: Eric CHIN
Author: Eric Chin
Author: Guojun Gan
Author: Eric Chin
Author: Eric Chin
Author: Cornelis W Oosterlee
Author: Mark Suresh Joshi
Author: Mark Suresh Joshi