Author : A. J. Roberts
Publisher : SIAM
Page : 143 pages
File Size : 33,76 MB
Release : 2009-01-01
Category : Mathematics
ISBN : 0898718228
Financial mathematics and its calculus introduced in an accessible manner for undergraduate students. Topics covered include financial indices as stochastic processes, Ito's stochastic calculus, the Fokker-Planck Equation and extra MATLAB/SCILAB code.
Author : J. Michael Steele
Publisher : Springer Science & Business Media
Page : 303 pages
File Size : 23,57 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 1468493051
Stochastic calculus has important applications to mathematical finance. This book will appeal to practitioners and students who want an elementary introduction to these areas. From the reviews: "As the preface says, ‘This is a text with an attitude, and it is designed to reflect, wherever possible and appropriate, a prejudice for the concrete over the abstract’. This is also reflected in the style of writing which is unusually lively for a mathematics book." --ZENTRALBLATT MATH
Author : Thomas Mikosch
Publisher : World Scientific
Page : 230 pages
File Size : 16,21 MB
Release : 1998
Category : Mathematics
ISBN : 9789810235437
Modelling with the Ito integral or stochastic differential equations has become increasingly important in various applied fields, including physics, biology, chemistry and finance. However, stochastic calculus is based on a deep mathematical theory. This book is suitable for the reader without a deep mathematical background. It gives an elementary introduction to that area of probability theory, without burdening the reader with a great deal of measure theory. Applications are taken from stochastic finance. In particular, the Black -- Scholes option pricing formula is derived. The book can serve as a text for a course on stochastic calculus for non-mathematicians or as elementary reading material for anyone who wants to learn about Ito calculus and/or stochastic finance.
Author : Paul Wilmott
Publisher : Cambridge University Press
Page : 338 pages
File Size : 45,55 MB
Release : 1995-09-29
Category : Business & Economics
ISBN : 9780521497893
Basic option theory - Numerical methods - Further option theory - Interest rate derivative products.
Author : Sheldon M. Ross
Publisher : Cambridge University Press
Page : 323 pages
File Size : 26,29 MB
Release : 2011-02-28
Category : Mathematics
ISBN : 1139498037
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 other topics such as utility functions, optimal portfolio selections, and the capital assets pricing model. Among the many new features of this third edition are new chapters on Brownian motion and geometric Brownian motion, stochastic order relations and stochastic dynamic programming, along with expanded sets of exercises and references for all the chapters.
Author : Paul Malliavin
Publisher : Springer Science & Business Media
Page : 148 pages
File Size : 33,90 MB
Release : 2006-02-25
Category : Business & Economics
ISBN : 3540307990
Highly esteemed author Topics covered are relevant and timely
Author : Martin Baxter
Publisher : Cambridge University Press
Page : 252 pages
File Size : 50,2 MB
Release : 1996-09-19
Category : Business & Economics
ISBN : 9780521552899
A rigorous introduction to the mathematics of pricing, construction and hedging of derivative securities.
Author : Stanley R. Pliska
Publisher : Wiley
Page : 276 pages
File Size : 31,22 MB
Release : 1997-07-07
Category : Business & Economics
ISBN : 9781557869456
The purpose of this book is to provide a rigorous yet accessible introduction to the modern financial theory of security markets. The main subjects are derivatives and portfolio management. The book is intended to be used as a text by advanced undergraduates and beginning graduate students. It is also likely to be useful to practicing financial engineers, portfolio manager, and actuaries who wish to acquire a fundamental understanding of financial theory. The book makes heavy use of mathematics, but not at an advanced level. Various mathematical concepts are developed as needed, and computational examples are emphasized.
Author : Sergio M. Focardi
Publisher : John Wiley & Sons
Page : 802 pages
File Size : 15,92 MB
Release : 2004-04-12
Category : Business & Economics
ISBN : 0471674230
the mathematics of financial modeling & investment management The Mathematics of Financial Modeling & Investment Management covers a wide range of technical topics in mathematics and finance-enabling the investment management practitioner, researcher, or student to fully understand the process of financial decision-making and its economic foundations. This comprehensive resource will introduce you to key mathematical techniques-matrix algebra, calculus, ordinary differential equations, probability theory, stochastic calculus, time series analysis, optimization-as well as show you how these techniques are successfully implemented in the world of modern finance. Special emphasis is placed on the new mathematical tools that allow a deeper understanding of financial econometrics and financial economics. Recent advances in financial econometrics, such as tools for estimating and representing the tails of the distributions, the analysis of correlation phenomena, and dimensionality reduction through factor analysis and cointegration are discussed in depth. Using a wealth of real-world examples, Focardi and Fabozzi simultaneously show both the mathematical techniques and the areas in finance where these techniques are applied. They also cover a variety of useful financial applications, such as: * Arbitrage pricing * Interest rate modeling * Derivative pricing * Credit risk modeling * Equity and bond portfolio management * Risk management * And much more Filled with in-depth insight and expert advice, The Mathematics of Financial Modeling & Investment Management clearly ties together financial theory and mathematical techniques.
Author : K. L. Chung
Publisher : Springer Science & Business Media
Page : 332 pages
File Size : 41,96 MB
Release : 2013-03-09
Category : Mathematics
ISBN : 1475739737
This book provides an elementary introduction to probability theory and its applications. The emphasis is on essential probabilistic reasoning, amply motivated, explained and illustrated with a large number of carefully selected samples. The fourth edition adds material related to mathematical finance, as well as expansions on stable laws and martingales.
