Mathematics Of The Bond Market A Levy Processes Approach PDF Download

Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Mathematics Of The Bond Market A Levy Processes Approach PDF full book. Access full book title Mathematics Of The Bond Market A Levy Processes Approach.

Mathematics of the Bond Market: A Lévy Processes Approach

Mathematics of the Bond Market: A Lévy Processes Approach
Author: Michał Barski
Publisher: Cambridge University Press
Total Pages: 402
Release: 2020-04-15
Genre: Mathematics
ISBN: 1108889603
GET BOOK

Download Mathematics of the Bond Market: A Lévy Processes Approach Book in PDF, ePub and Kindle

Mathematical models of bond markets are of interest to researchers working in applied mathematics, especially in mathematical finance. This book concerns bond market models in which random elements are represented by Lévy processes. These are more flexible than classical models and are well suited to describing prices quoted in a discontinuous fashion. The book's key aims are to characterize bond markets that are free of arbitrage and to analyze their completeness. Nonlinear stochastic partial differential equations (SPDEs) are an important tool in the analysis. The authors begin with a relatively elementary analysis in discrete time, suitable for readers who are not familiar with finance or continuous time stochastic analysis. The book should be of interest to mathematicians, in particular to probabilists, who wish to learn the theory of the bond market and to be exposed to attractive open mathematical problems.

Higher Special Functions

Higher Special Functions
Author: Wolfgang Lay
Publisher: Cambridge University Press
Total Pages: 316
Release: 2024-05-23
Genre: Mathematics
ISBN: 1009546589
GET BOOK

Download Higher Special Functions Book in PDF, ePub and Kindle

Higher special functions emerge from boundary eigenvalue problems of Fuchsian differential equations with more than three singularities. This detailed reference provides solutions for singular boundary eigenvalue problems of linear ordinary differential equations of second order, exploring previously unknown methods for finding higher special functions. Starting from the fact that it is the singularities of a differential equation that determine the local, as well as the global, behaviour of its solutions, the author develops methods that are both new and efficient and lead to functional relationships that were previously unknown. All the developments discussed are placed within their historical context, allowing the reader to trace the roots of the theory back through the work of many generations of great mathematicians. Particular attention is given to the work of George Cecil Jaffé, who laid the foundation with the calculation of the quantum mechanical energy levels of the hydrogen molecule ion.

Equivalents of the Riemann Hypothesis

Equivalents of the Riemann Hypothesis
Author: Kevin Broughan
Publisher: Cambridge University Press
Total Pages: 705
Release: 2023-09-30
Genre: Mathematics
ISBN: 1009384805
GET BOOK

Download Equivalents of the Riemann Hypothesis Book in PDF, ePub and Kindle

This third volume presents further equivalents to the Riemann hypothesis and explores its decidability.

Equivalents of the Riemann Hypothesis: Volume 3, Further Steps towards Resolving the Riemann Hypothesis

Equivalents of the Riemann Hypothesis: Volume 3, Further Steps towards Resolving the Riemann Hypothesis
Author: Kevin Broughan
Publisher: Cambridge University Press
Total Pages: 706
Release: 2023-09-30
Genre: Mathematics
ISBN: 1009384775
GET BOOK

Download Equivalents of the Riemann Hypothesis: Volume 3, Further Steps towards Resolving the Riemann Hypothesis Book in PDF, ePub and Kindle

This three-volume work presents the main known equivalents to the Riemann hypothesis, perhaps the most important problem in mathematics. Volume 3 covers new arithmetic and analytic equivalences from numerous studies in the field, such as Rogers and Tao, and presents derivations which show whether the Riemann hypothesis is decidable.

Coxeter Bialgebras

Coxeter Bialgebras
Author: Marcelo Aguiar
Publisher: Cambridge University Press
Total Pages: 897
Release: 2022-10-31
Genre: Mathematics
ISBN: 100924373X
GET BOOK

Download Coxeter Bialgebras Book in PDF, ePub and Kindle

The goal of this monograph is to develop Hopf theory in the setting of a real reflection arrangement. The central notion is that of a Coxeter bialgebra which generalizes the classical notion of a connected graded Hopf algebra. The authors also introduce the more structured notion of a Coxeter bimonoid and connect the two notions via a family of functors called Fock functors. These generalize similar functors connecting Hopf monoids in the category of Joyal species and connected graded Hopf algebras. This monograph opens a new chapter in Coxeter theory as well as in Hopf theory, connecting the two. It also relates fruitfully to many other areas of mathematics such as discrete geometry, semigroup theory, associative algebras, algebraic Lie theory, operads, and category theory. It is carefully written, with effective use of tables, diagrams, pictures, and summaries. It will be of interest to students and researchers alike.

Topics in Algorithmic Graph Theory

Topics in Algorithmic Graph Theory
Author: Lowell W. Beineke
Publisher: Cambridge University Press
Total Pages: 400
Release: 2021-06-03
Genre: Mathematics
ISBN: 1108671071
GET BOOK

Download Topics in Algorithmic Graph Theory Book in PDF, ePub and Kindle

Algorithmic graph theory has been expanding at an extremely rapid rate since the middle of the twentieth century, in parallel with the growth of computer science and the accompanying utilization of computers, where efficient algorithms have been a prime goal. This book presents material on developments on graph algorithms and related concepts that will be of value to both mathematicians and computer scientists, at a level suitable for graduate students, researchers and instructors. The fifteen expository chapters, written by acknowledged international experts on their subjects, focus on the application of algorithms to solve particular problems. All chapters were carefully edited to enhance readability and standardize the chapter structure as well as the terminology and notation. The editors provide basic background material in graph theory, and a chapter written by the book's Academic Consultant, Martin Charles Golumbic (University of Haifa, Israel), provides background material on algorithms as connected with graph theory.

Numerical Ranges of Hilbert Space Operators

Numerical Ranges of Hilbert Space Operators
Author: Hwa-Long Gau
Publisher: Cambridge University Press
Total Pages: 556
Release: 2021-08-05
Genre: Mathematics
ISBN: 1108787606
GET BOOK

Download Numerical Ranges of Hilbert Space Operators Book in PDF, ePub and Kindle

Starting with elementary operator theory and matrix analysis, this book introduces the basic properties of the numerical range and gradually builds up the whole numerical range theory. Over 400 assorted problems, ranging from routine exercises to published research results, give you the chance to put the theory into practice and test your understanding. Interspersed throughout the text are numerous comments and references, allowing you to discover related developments and to pursue areas of interest in the literature. Also included is an appendix on basic convexity properties on the Euclidean space. Targeted at graduate students as well as researchers interested in functional analysis, this book provides a comprehensive coverage of classic and recent works on the numerical range theory. It serves as an accessible entry point into this lively and exciting research area.

Mathematical Methods for Financial Markets

Mathematical Methods for Financial Markets
Author: Monique Jeanblanc
Publisher: Springer Science & Business Media
Total Pages: 754
Release: 2009-10-03
Genre: Business & Economics
ISBN: 1846287375
GET BOOK

Download Mathematical Methods for Financial Markets Book in PDF, ePub and Kindle

Mathematical finance has grown into a huge area of research which requires a large number of sophisticated mathematical tools. This book simultaneously introduces the financial methodology and the relevant mathematical tools in a style that is mathematically rigorous and yet accessible to practitioners and mathematicians alike. It interlaces financial concepts such as arbitrage opportunities, admissible strategies, contingent claims, option pricing and default risk with the mathematical theory of Brownian motion, diffusion processes, and Lévy processes. The first half of the book is devoted to continuous path processes whereas the second half deals with discontinuous processes. The extensive bibliography comprises a wealth of important references and the author index enables readers quickly to locate where the reference is cited within the book, making this volume an invaluable tool both for students and for those at the forefront of research and practice.

Bond Math

Bond Math
Author: Donald Smith
Publisher:
Total Pages: 304
Release: 2014
Genre: Mathematics
ISBN:
GET BOOK

Download Bond Math Book in PDF, ePub and Kindle

A bond calculation quick reference, complete with context and application insights Bond Math is a quick and easy resource that puts the intricacies of bond calculations into a clear and logical order. This simple, readable guide provides a handy reference, teaching the reader how to think about the essentials of bond math. Much more than just a book of formulas, the emphasis is on how to think about bonds and the associated math, with plenty of examples, anecdotes, and thought-provoking insights that sometimes run counter to conventional wisdom. This updated second edition includes popular Bloomberg pages used in fixed-income analysis, including the Yield and Spread Analysis page, plus a companion website complete with an Online Workbook of multiple choice questions and answers and spreadsheet exercises. Detailed coverage of key calculations, including thorough explanations, provide practical guidance to working bond professionals. The bond market is the largest and most liquid in the world, encompassing everything from Treasuries and investment grade corporate paper to municipals and junk bonds, trading over $900 billion daily in the U.S. alone. Bond Math is a guide to the inevitable calculations involved in managing bonds, with expert insight on the portfolios and investment strategies that puts the math in perspective. Clear and concise without sacrificing detail, this book helps readers to: Delineate the characteristics of different types of debt securities Calculate implied forward and spot rates and discount factors Work with rates of return, yield statistics, and interest rate swaps Understand duration-based risk measures, and more Memorizing formulas is one thing, but really learning how to mentally approach the math behind bonds is something else entirely. This approach places calculations in context, and enables easier transition from theory to application. For the bond professional seeking a quick math reference, Bond Math provides that and so much more.

Measure, Probability, and Mathematical Finance

Measure, Probability, and Mathematical Finance
Author: Guojun Gan
Publisher: John Wiley & Sons
Total Pages: 54
Release: 2014-04-07
Genre: Mathematics
ISBN: 1118831969
GET BOOK

Download Measure, Probability, and Mathematical Finance Book in PDF, ePub and Kindle

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.