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- Introduction to the Mathematics of Finance

- Author : Ruth J. Williams
- Publsiher : American Mathematical Soc.
- Release : 11 May 2021
- ISBN : 0821839039
- Pages : 150 pages
- Rating : /5 from reviews

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Download or read book entitled *Introduction to the Mathematics of Finance* by author: *Ruth J. Williams* which was release on *11 May 2021* and published by *American Mathematical Soc.* with total page 150 pages . This book available in PDF, EPUB and Kindle Format. The modern subject of mathematical finance has undergone considerable development, both in theory and practice, since the seminal work of Black and Scholes appeared a third of a century ago. This book is intended as an introduction to some elements of the theory that will enable students and researchers to go on to read more advanced texts and research papers. The book begins with the development of the basic ideas of hedging and pricing of European and American derivatives in the discrete (i.e., discrete time and discrete state) setting of binomial tree models. Then a general discrete finite market model is introduced, and the fundamental theorems of asset pricing are proved in this setting. Tools from probability such as conditional expectation, filtration, (super)martingale, equivalent martingale measure, and martingale representation are all used first in this simple discrete framework. This provides a bridge to the continuous (time and state) setting, which requires the additional concepts of Brownian motion and stochastic calculus. The simplest model in the continuous setting is the famous Black-Scholes model, for which pricing and hedging of European and American derivatives are developed. The book concludes with a description of the fundamental theorems for a continuous market model that generalizes the simple Black-Scholes model in several directions.

- Author : Ruth J. Williams
- Publisher : American Mathematical Soc.
- Release Date : 2006
- Total pages : 150
- ISBN : 0821839039

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**Summary :** The modern subject of mathematical finance has undergone considerable development, both in theory and practice, since the seminal work of Black and Scholes appeared a third of a century ago. This book is intended as an introduction to some elements of the theory that will enable students and researchers to ...

- Author : John J. McCutcheon,William F. Scott
- Publisher : Butterworth-Heinemann
- Release Date : 1986
- Total pages : 463
- ISBN : 0821839039

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**Summary :** Read online An Introduction to the Mathematics of Finance written by John J. McCutcheon,William F. Scott, published by Butterworth-Heinemann which was released on 1986. Download full An Introduction to the Mathematics of Finance Books now! Available in PDF, ePub and Kindle....

- Author : Salih N. Neftci,Ali Hirsa,Salih N.. Neftci
- Publisher : Academic Press
- Release Date : 2000-06-02
- Total pages : 527
- ISBN : 0821839039

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**Summary :** A step-by-step explanation of the mathematical models used to price derivatives. For this second edition, Salih Neftci has expanded one chapter, added six new ones, and inserted chapter-concluding exercises. He does not assume that the reader has a thorough mathematical background. His explanations of financial calculus seek to be simple ...

- Author : Arlie O. Petters,Xiaoying Dong
- Publisher : Springer
- Release Date : 2016-06-17
- Total pages : 483
- ISBN : 0821839039

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**Summary :** This textbook aims to fill the gap between those that offer a theoretical treatment without many applications and those that present and apply formulas without appropriately deriving them. The balance achieved will give readers a fundamental understanding of key financial ideas and tools that form the basis for building realistic ...

- Author : Steven Roman
- Publisher : Springer Science & Business Media
- Release Date : 2013-12-01
- Total pages : 356
- ISBN : 0821839039

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**Summary :** An elementary introduction to probability and mathematical finance including a chapter on the Capital Asset Pricing Model (CAPM), a topic that is very popular among practitioners and economists. Dr. Roman has authored 32 books, including a number of books on mathematics, such as Coding and Information Theory, Advanced Linear Algebra, and ...

- Author : Alfred Hurlstone Pollard
- Publisher : Pergamon
- Release Date : 1977
- Total pages : 93
- ISBN : 0821839039

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**Summary :** An Introduction to the Mathematics of Finance provides a simple, nonmathematical introduction to the mathematics of finance. Topics discussed in this book include simple interest; compound interest-annual compounding; annuities-certain; use of compound interest; and sinking funds. The equations of value; compounding more frequently than annually; and contracts at """"flat"""" rates ...

- Author : Stephen Garrett
- Publisher : Butterworth-Heinemann
- Release Date : 2016-05-19
- Total pages : 464
- ISBN : 0821839039

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**Summary :** An Introduction to the Mathematics of Finance: A Deterministic Approach, Second edition, offers a highly illustrated introduction to mathematical finance, with a special emphasis on interest rates. This revision of the McCutcheon-Scott classic follows the core subjects covered by the first professional exam required of UK actuaries, the CT1 exam. ...

- Author : Sheldon M. Ross
- Publisher : Cambridge University Press
- Release Date : 2003
- Total pages : 253
- ISBN : 0821839039

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**Summary :** Table of contents...

- Author : Donald G. Saari
- Publisher : Springer Nature
- Release Date : 2019-08-31
- Total pages : 144
- ISBN : 0821839039

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**Summary :** This textbook invites the reader to develop a holistic grounding in mathematical finance, where concepts and intuition play as important a role as powerful mathematical tools. Financial interactions are characterized by a vast amount of data and uncertainty; navigating the inherent dangers and hidden opportunities requires a keen understanding of ...

- Author : Mark H. A. Davis
- Publisher : Oxford University Press, USA
- Release Date : 2019
- Total pages : 133
- ISBN : 0821839039

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**Summary :** Now a vital part of modern economies, the rapid growth of the finance industry in recent decades is largely due to the development of mathematical methods such as the theory of arbitrage. Asset valuation, credit trading, and fund management, now depend on these mathematical tools. Mark Davis explains the theories ...

- Author : David C. Heath Glen Swindle
- Publisher : American Mathematical Soc.
- Release Date : 2000-01-25
- Total pages : 212
- ISBN : 0821839039

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**Summary :** The foundation for the subject of mathematical finance was laid nearly 100 years ago by Bachelier in his fundamental work, Theorie de la speculation. In this work, he provided the first treatment of Brownian motion. Since then, the research of Markowitz, and then of Black, Merton, Scholes, and Samuelson brought remarkable ...

- Author : Paul Wilmott,Susan Howson,Sam Howison,Wilmott-Howison-Dewynne ...,Jeff Dewynne
- Publisher : Cambridge University Press
- Release Date : 1995-09-29
- Total pages : 317
- ISBN : 0821839039

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**Summary :** Basic option theory - Numerical methods - Further option theory - Interest rate derivative products....

- Author : Marek Capiński,Tomasz Zastawniak
- Publisher : Springer
- Release Date : 2010-11-25
- Total pages : 336
- ISBN : 0821839039

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**Summary :** As with the first edition, Mathematics for Finance: An Introduction to Financial Engineering combines financial motivation with mathematical style. Assuming only basic knowledge of probability and calculus, it presents three major areas of mathematical finance, namely Option pricing based on the no-arbitrage principle in discrete and continuous time setting, Markowitz ...

- Author : J. McCutcheon
- Publisher : Unknown
- Release Date : 2003
- Total pages : 212
- ISBN : 0821839039

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**Summary :** Read online An Introduction to the Mathematics of Finance written by J. McCutcheon, published by which was released on 2003. Download full An Introduction to the Mathematics of Finance Books now! Available in PDF, ePub and Kindle....

- Author : A. H. Pollard
- Publisher : Elsevier
- Release Date : 2014-05-18
- Total pages : 98
- ISBN : 0821839039

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**Summary :** An Introduction to the Mathematics of Finance provides a simple, nonmathematical introduction to the mathematics of finance. Topics discussed in this book include simple interest; compound interest—annual compounding; annuities—certain; use of compound interest; and sinking funds. The equations of value; compounding more frequently than annually; and contracts at ""...