Introduction to the Mathematics of Finance

Written By Ruth J. Williams
Introduction to the Mathematics of Finance
  • Publsiher : American Mathematical Soc.
  • Release : 08 December 2021
  • ISBN : 0821839039
  • Pages : 150 pages
  • Rating : 4/5 from 21 reviews
GET THIS BOOKIntroduction to the Mathematics of Finance


Read or download book entitled Introduction to the Mathematics of Finance written by Ruth J. Williams which was release on 08 December 2021, this book published by American Mathematical Soc.. Available in PDF, EPUB and Kindle Format. Book excerpt: 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.

Introduction to the Mathematics of Finance

Introduction to the Mathematics of Finance
  • Author : Ruth J. Williams
  • Publisher : American Mathematical Soc.
  • Release Date : 2006
  • Total pages : 150
  • ISBN : 0821839039
GET BOOK

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 ...

Introduction to the Mathematics of Finance

Introduction to the Mathematics of Finance
  • Author : Steven Roman
  • Publisher : Springer
  • Release Date : 2004-08-10
  • Total pages : 356
  • ISBN : 0821839039
GET BOOK

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 ...

An Introduction to Mathematical Finance with Applications

An Introduction to Mathematical Finance with Applications
  • Author : Arlie O. Petters,Xiaoying Dong
  • Publisher : Springer
  • Release Date : 2016-06-17
  • Total pages : 483
  • ISBN : 0821839039
GET BOOK

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 ...

Mathematics for Finance

Mathematics for Finance
  • Author : Marek Capinski,Tomasz Zastawniak
  • Publisher : Springer
  • Release Date : 2006-04-18
  • Total pages : 314
  • ISBN : 0821839039
GET BOOK

Summary : This textbook contains the fundamentals for an undergraduate course in mathematical finance aimed primarily at students of mathematics. Assuming only a basic knowledge of probability and calculus, the material is presented in a mathematically rigorous and complete way. The book covers the time value of money, including the time structure ...

An Introduction to The Mathematics of Finance

An Introduction to The Mathematics of Finance
  • Author : A. H. Pollard
  • Publisher : Elsevier
  • Release Date : 2014-05-18
  • Total pages : 98
  • ISBN : 0821839039
GET BOOK

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 ""...

An Undergraduate Introduction to Financial Mathematics

An Undergraduate Introduction to Financial Mathematics
  • Author : J. Robert Buchanan
  • Publisher : World Scientific Publishing Company Incorporated
  • Release Date : 2012
  • Total pages : 464
  • ISBN : 0821839039
GET BOOK

Summary : This textbook provides an introduction to financial mathematics and financial engineering for undergraduate students who have completed a three- or four-semester sequence of calculus courses. It introduces the theory of interest, discrete and continuous random variables and probability, stochastic processes, linear programming, the Fundamental Theorem of Finance, option pricing, hedging, ...

An Introduction to the Mathematics of Finance

An Introduction to the Mathematics of Finance
  • Author : Stephen Garrett
  • Publisher : Butterworth-Heinemann
  • Release Date : 2013-05-28
  • Total pages : 464
  • ISBN : 0821839039
GET BOOK

Summary : An Introduction to the Mathematics of Finance: A Deterministic Approach, 2e, 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. It ...

Mathematical Finance

Mathematical Finance
  • Author : Mark H. A. Davis
  • Publisher : Oxford University Press, USA
  • Release Date : 2019
  • Total pages : 133
  • ISBN : 0821839039
GET BOOK

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 ...

Introduction to the Economics and Mathematics of Financial Markets

Introduction to the Economics and Mathematics of Financial Markets
  • Author : Jaksa Cvitanic,Fernando Zapatero
  • Publisher : MIT Press
  • Release Date : 2004-02-27
  • Total pages : 516
  • ISBN : 0821839039
GET BOOK

Summary : 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 ...

An Introduction to the Mathematics of Financial Derivatives

An Introduction to the Mathematics of Financial Derivatives
  • Author : Salih N. Neftci
  • Publisher : Elsevier
  • Release Date : 2000-06-22
  • Total pages : 527
  • ISBN : 0821839039
GET BOOK

Summary : An Introduction to the Mathematics of Financial Derivatives, Second Edition, introduces the mathematics underlying the pricing of derivatives. The increased interest in dynamic pricing models stems from their applicability to practical situations: with the freeing of exchange, interest rates, and capital controls, the market for derivative products has matured and ...

An Introduction to the Mathematics of Finance

An Introduction to the Mathematics of Finance
  • Author : John J. McCutcheon,William F. Scott
  • Publisher : Unknown
  • Release Date : 1986
  • Total pages : 463
  • ISBN : 0821839039
GET BOOK

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

Mathematics of Finance

Mathematics of Finance
  • Author : Donald G. Saari
  • Publisher : Springer
  • Release Date : 2019-09-11
  • Total pages : 144
  • ISBN : 0821839039
GET BOOK

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 ...

An Elementary Introduction to Mathematical Finance

An Elementary Introduction to Mathematical Finance
  • Author : Sheldon M. Ross
  • Publisher : Cambridge University Press
  • Release Date : 2011-02-28
  • Total pages : 322
  • ISBN : 0821839039
GET BOOK

Summary : This textbook on the basics of option pricing is accessible to readers with limited mathematical training. It is for both professional traders and undergraduates studying the basics of finance. Assuming no prior knowledge of probability, Sheldon M. Ross offers clear, simple explanations of arbitrage, the Black-Scholes option pricing formula, and ...

Financial Calculus

Financial Calculus
  • Author : Martin Baxter,Andrew Rennie,Andrew J. O. Rennie
  • Publisher : Cambridge University Press
  • Release Date : 1996-09-19
  • Total pages : 233
  • ISBN : 0821839039
GET BOOK

Summary : A rigorous introduction to the mathematics of pricing, construction and hedging of derivative securities....

Introduction to Mathematical Finance

Introduction to Mathematical Finance
  • Author : David C. Heath Glen Swindle
  • Publisher : American Mathematical Soc.
  • Release Date : 2000-01-25
  • Total pages : 212
  • ISBN : 0821839039
GET BOOK

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 ...