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Mathematics of Financial Markets

2013-11-11 Mathematics
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Release : 2013-11-11
Genre : Mathematics
Kind : eBook
Book Rating : 460/5 ( reviews)

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Book Synopsis Mathematics of Financial Markets by : Robert J Elliott

Download or read book Mathematics of Financial Markets written by Robert J Elliott. This book was released on 2013-11-11. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the mathematics that underpins pricing models for derivative securities such as options, futures and swaps in modern markets. Models built upon the famous Black-Scholes theory require sophisticated mathematical tools drawn from modern stochastic calculus. However, many of the underlying ideas can be explained more simply within a discrete-time framework. This is developed extensively in this substantially revised second edition to motivate the technically more demanding continuous-time theory.

Introduction to the Economics and Mathematics of Financial Markets

2004-02-27 Business & Economics
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Release : 2004-02-27
Genre : Business & Economics
Kind : eBook
Book Rating : 206/5 ( reviews)

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Book Synopsis Introduction to the Economics and Mathematics of Financial Markets by : Jaksa Cvitanic

Download or read book Introduction to the Economics and Mathematics of Financial Markets written by Jaksa Cvitanic. This book was released on 2004-02-27. Available in PDF, EPUB and Kindle. Book excerpt: An innovative textbook for use in advanced undergraduate and graduate courses; accessible to students in financial mathematics, financial engineering and economics. Introduction to the Economics and Mathematics of Financial Markets fills the longstanding need for an accessible yet serious textbook treatment of financial economics. The book provides a rigorous overview of the subject, while its flexible presentation makes it suitable for use with different levels of undergraduate and graduate students. Each chapter presents mathematical models of financial problems at three different degrees of sophistication: single-period, multi-period, and continuous-time. The single-period and multi-period models require only basic calculus and an introductory probability/statistics course, while an advanced undergraduate course in probability is helpful in understanding the continuous-time models. In this way, the material is given complete coverage at different levels; the less advanced student can stop before the more sophisticated mathematics and still be able to grasp the general principles of financial economics. The book is divided into three parts. The first part provides an introduction to basic securities and financial market organization, the concept of interest rates, the main mathematical models, and quantitative ways to measure risks and rewards. The second part treats option pricing and hedging; here and throughout the book, the authors emphasize the Martingale or probabilistic approach. Finally, the third part examines equilibrium models—a subject often neglected by other texts in financial mathematics, but included here because of the qualitative insight it offers into the behavior of market participants and pricing.

Mathematical Methods for Financial Markets

2009-10-03 Business & Economics
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Release : 2009-10-03
Genre : Business & Economics
Kind : eBook
Book Rating : 375/5 ( reviews)

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Book Synopsis Mathematical Methods for Financial Markets by : Monique Jeanblanc

Download or read book Mathematical Methods for Financial Markets written by Monique Jeanblanc. This book was released on 2009-10-03. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Discrete Models of Financial Markets

2012-02-23 Business & Economics
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Release : 2012-02-23
Genre : Business & Economics
Kind : eBook
Book Rating : 63X/5 ( reviews)

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Book Synopsis Discrete Models of Financial Markets by : Marek Capiński

Download or read book Discrete Models of Financial Markets written by Marek Capiński. This book was released on 2012-02-23. Available in PDF, EPUB and Kindle. Book excerpt: An excellent basis for further study. Suitable even for readers with no mathematical background.

The Statistical Mechanics of Financial Markets

2013-06-29 Science
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Release : 2013-06-29
Genre : Science
Kind : eBook
Book Rating : 234/5 ( reviews)

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Book Synopsis The Statistical Mechanics of Financial Markets by : Johannes Voit

Download or read book The Statistical Mechanics of Financial Markets written by Johannes Voit. This book was released on 2013-06-29. Available in PDF, EPUB and Kindle. Book excerpt: A careful examination of the interaction between physics and finance. It takes a look at the 100-year-long history of co-operation between the two fields and goes on to provide new research results on capital markets - taken from the field of statistical physics. The random walk model, well known in physics, is one good example of where the two disciplines meet. In the world of finance it is the basic model upon which the Black-Scholes theory of option pricing and hedging has been built. The underlying assumptions are discussed using empirical financial data and analogies to physical models such as fluid flows, turbulence, or superdiffusion. On this basis, new theories of derivative pricing and risk control can be formulated.

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