Автор: Cont, Tankov Название: Financial modelling with jump processes ISBN: 1584884134 ISBN-13(EAN): 9781584884132 Издательство: Taylor&Francis Рейтинг: Цена: 17609.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Presents an overview of the theoretical, numerical, and empirical aspects of using jump processes in financial modeling. This book demonstrates that the concepts and tools necessary for understanding and implementing models with jumps can be more intuitive that those involved in the Black Scholes and diffusion models.
Автор: Campolieti Название: Financial Mathematics ISBN: 1439892423 ISBN-13(EAN): 9781439892428 Издательство: Taylor&Francis Рейтинг: Цена: 16843.00 р. Наличие на складе: Поставка под заказ.
Описание: 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.
Автор: Tretyakov M V Название: Introductory Course on Financial Mathematics ISBN: 1908977388 ISBN-13(EAN): 9781908977380 Издательство: World Scientific Publishing Цена: 7603.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book is an elementary introduction to the basic concepts of financial mathematics with a central focus on discrete models and an aim to demonstrate simple, but widely used, financial derivatives for managing market risks. Only a basic knowledge of probability, real analysis, ordinary differential equations, linear algebra and some common sense are required to understand the concepts considered in this book.Financial mathematics is an application of advanced mathematical and statistical methods to financial management and markets, with a main objective of quantifying and hedging risks. Since the book aims to present the basics of financial mathematics to the reader, only essential elements of probability and stochastic analysis are given to explain ideas concerning derivative pricing and hedging. To keep the reader intrigued and motivated, the book has a 'sandwich' structure: probability and stochastics are given in situ where mathematics can be readily illustrated by application to finance.The first part of the book introduces one of the main principles in finance -- 'no arbitrage pricing'. It also introduces main financial instruments such as forward and futures contracts, bonds and swaps, and options. The second part deals with pricing and hedging of European- and American-type options in the discrete-time setting. In addition, the concept of complete and incomplete markets is discussed. Elementary probability is briefly revised and discrete-time discrete-space stochastic processes used in financial modelling are considered. The third part introduces the Wiener process, Ito integrals and stochastic differential equations, but its main focus is the famous Black-Scholes formula for pricing European options. Some guidance for further study within this exciting and rapidly changing field is given in the concluding chapter. There are approximately 100 exercises interspersed throughout the book, and solutions for most problems are provided in the appendices.
Автор: Ruttiens Alain Название: Mathematics of the Financial Markets ISBN: 1118513452 ISBN-13(EAN): 9781118513453 Издательство: Wiley Рейтинг: Цена: 9504.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
The book aims to prioritise what needs mastering and presentsthe content in the most understandable, concise and pedagogical wayillustrated by real market examples. Given the variety and thecomplexity of the materials the book covers, the author sortsthrough a vast array of topics in a subjective way, relying uponmore than twenty years of experience as a market practitioner. Thebook only requires the reader to be knowledgeable in the basics ofalgebra and statistics.
The Mathematical formulae are only fully proven when the proofbrings some useful insight. These formulae are translated fromalgebra into plain English to aid understanding as the vastmajority of practitioners involved in the financial markets are notrequired to compute or calculate prices or sensitivities themselvesas they have access to data providers. Thus, the intention of thisbook is for the practitioner to gain a deeper understanding ofthese calculations, both for a safety reason - it is betterto understand what is behind the data we manipulate - andsecondly being able to appreciate the magnitude of the prices weare confronted with and being able to draft a rough calculation, aside of the market data.
The author has avoided excessive formalism where possible.Formalism is securing the outputs of research, but may, in othercircumstances, burden the understanding by non-mathematicians; anexample of this case is in the chapter dedicated to the basis ofstochastic calculus.
The book is divided into two parts:
First, the deterministic world, starting from the yield curvebuilding and related calculations (spot rates, forward rates, discrete versus continuous compounding, etc.), and continuing withspot instruments valuation (short term rates, bonds, currencies andstocks) and forward instruments valuation (forward forex, FRAs andvariants, swaps & futures);
Second, the probabilistic world, starting with the basis ofstochastic calculus and the alternative approach of ARMA to GARCH, and continuing with derivative pricing: options, second generationoptions, volatility, credit derivatives;
This second part is completed by a chapter dedicated to marketperformance & risk measures, and a chapter widening the scopeof quantitative models beyond the Gaussian hypothesis andevidencing the potential troubles linked to derivative pricingmodels.
Автор: Ali Hirsa Название: An Introduction to the Mathematics of Financial Derivatives, ISBN: 012384682X ISBN-13(EAN): 9780123846822 Издательство: Elsevier Science Рейтинг: Цена: 13304.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: A text that eases the transition between basic summaries of financial engineering to more advanced treatments using stochastic calculus. Requiring a basic knowledge of calculus and probability, it takes readers on a tour of advanced financial engineering. It encourages use of discrete chapters as complementary readings on different topics.
Автор: Miller Michael B Название: Mathematics and Statistics for Financial Risk Management ISBN: 1118750292 ISBN-13(EAN): 9781118750292 Издательство: Wiley Рейтинг: Цена: 13306.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Mathematics and Statistics for Financial Risk Management is a practical guide to modern financial risk management for both practitioners and academics.
Автор: Ravindran Kannoo Название: Mathematics of Financial Models + Website ISBN: 1118004612 ISBN-13(EAN): 9781118004616 Издательство: Wiley Рейтинг: Цена: 11880.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Learn how quantitative models can help fight client problems head-on Before financial problems can be solved, they need to be fully understood.
Название: Undergraduate Introduction to Financial Mathematics ISBN: 9814407445 ISBN-13(EAN): 9789814407441 Издательство: World Scientific Publishing Рейтинг: Цена: 9662.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Provides an introduction to financial mathematics and financial engineering for undergraduate students who have completed a three- or four-semester sequence of calculus courses. This book contains material that can adequately prepare the reader for graduate-level study in mathematical finance.
This textbook is a short comprehensive and intuitive introduction to Lie group analysis of ordinary and partial differential equations. This practical-oriented material contains a large number of examples and problems accompanied by detailed solutions and figures. In comparison with the known beginner guides to Lie group analysis, the book is oriented toward students who are interested in financial mathematics, mathematical finance and economics.
We provide the results of the Lie group analysis of actual models in Financial Mathematics using recent publications. These models are usually formulated as nonlinear partial differential equations and are rather difficult to make use of. With the help of Lie group analysis it is possible to describe some important properties of these models and to obtain interesting reductions in a clear and understandable algorithmic way.
The book can serve as a short introduction for a further study of modern geometrical analysis applied to models in financial mathematics. It can also be used as textbook in a master's program, in an intensive compact course, or for self study.
The textbook with a large number of examples will be useful not only for students who are interested in Financial Mathematics but also for people who are working in other areas of research that are not directly connected with Physics (for instance in such areas of Applied Mathematics like mathematical economy, bio systems, coding theory, etc.).
Автор: Hastings Название: Introduction to Financial Mathematics ISBN: 149872390X ISBN-13(EAN): 9781498723909 Издательство: Taylor&Francis Рейтинг: Цена: 14851.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
Introduction to Financial Mathematics is ideal for an introductory undergraduate course. Unlike most textbooks aimed at more advanced courses, the textmotivates students through a discussion of personal finances and portfolio management. The author then goes on to covervaluation of financial derivatives in discrete time, using all of closed form, recursive, and simulation methods.
The text covers nearly all of the syllabus topics of the Financial Mathematics Actuarial examination, providing students with the foundation they require for future studies and throughout their careers. It begins by covering standard material on the mathematics of interest, including compound interest, present value, annuities, loans, several versions of the rate of return on an investment, and interest in continuous time. The text explains how to value bonds at their issue dates, at coupon times, between coupon times, and in cases where the bonds are terminated early. Next, it supplies a rapid-fire overview of the main ideas and techniques of discrete probability, including sample spaces and probability measures, random variables and distributions, expectation, conditional probability, and independence. The author introduces the basic terminology of stocks and stock trading. He also explains how to derive the rate of return on a portfolio and how to use the idea of risk aversion to model the investor tradeoff between risk and return. The text also discusses the estimation of parameters of asset models from real data. The text closes with a detailed discussion of how to value financial derivatives using anti-arbitrage assumptions. The one-step and multi-step cases are covered, and exotic options such as barrier options are also introduced, to which simulation methods are applied. Many of the examples in the book involve numerical solution of complicated non-linear equations; others ask students to produce algorithms which beg to be implemented as programs. For maximum flexibility, the author has produced the text without adhering to any particular computational platform. A digital version of this text is also available in the form of Mathematica notebooks that contain additional content.
Автор: Mackevicius, Vigirdas Название: Stochastic Models of Financial Mathematics ISBN: 1785481983 ISBN-13(EAN): 9781785481987 Издательство: Elsevier Science Рейтинг: Цена: 15159.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book presents a short introduction to continuous-time financial models. An overview of the basics of stochastic analysis precedes a focus on the Black–Scholes and interest rate models. Other topics covered include self-financing strategies, option pricing, exotic options and risk-neutral probabilities. Vasicek, Cox?Ingersoll?Ross, and Heath–Jarrow–Morton interest rate models are also explored.The author presents practitioners with a basic introduction, with more rigorous information provided for mathematicians. The reader is assumed to be familiar with the basics of probability theory. Some basic knowledge of stochastic integration and differential equations theory is preferable, although all preliminary information is given in the first part of the book. Some relatively simple theoretical exercises are also provided.
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