An Undergraduate Introduction To Financial Mathematics

Author : J. Robert Buchanan
Publisher : World Scientific
Page : 372 pages
File Size : 41,6 Mb
Release : 2008
Category : Mathematics
ISBN : 9789812835352

Get Book

An Undergraduate Introduction to Financial Mathematics by J. Robert Buchanan Pdf

"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, random variables and probability, stochastic processes, arbitrage, option pricing, hedging, and portfolio optimization. The student progresses from knowing only elementary calculus to understanding the derivation and solution of the Black-Scholes partial differential equation and its solutions. This is one of the few books on the subject of financial mathematics which is accessible to undergraduates having only a thorough grounding in elementary calculus. It explains the subject matter without 'hand waving' arguments and includes numerous examples. Every chapter concludes with a set of exercises which test the chapter's concepts and fill in details of derivations." -- Publisher's description.

Author : Marek Capinski,Tomasz Zastawniak
Publisher : Springer
Page : 314 pages
File Size : 52,9 Mb
Release : 2006-04-18
Category : Business & Economics
ISBN : 9781852338466

Get Book

Mathematics for Finance by Marek Capinski,Tomasz Zastawniak Pdf

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 of interest rates, bonds and stock valuation; derivative securities (futures, options), modelling in discrete time, pricing and hedging, and many other core topics. With numerous examples, problems and exercises, this book is ideally suited for independent study.

Author : Donald R. Chambers,Qin Lu
Publisher : CRC Press
Page : 581 pages
File Size : 42,6 Mb
Release : 2021-06-16
Category : Computers
ISBN : 9781000370126

Get Book

Introduction to Financial Mathematics by Donald R. Chambers,Qin Lu Pdf

This book’s primary objective is to educate aspiring finance professionals about mathematics and computation in the context of financial derivatives. The authors offer a balance of traditional coverage and technology to fill the void between highly mathematical books and broad finance books. The focus of this book is twofold: To partner mathematics with corresponding intuition rather than diving so deeply into the mathematics that the material is inaccessible to many readers. To build reader intuition, understanding and confidence through three types of computer applications that help the reader understand the mathematics of the models. Unlike many books on financial derivatives requiring stochastic calculus, this book presents the fundamental theories based on only undergraduate probability knowledge. A key feature of this book is its focus on applying models in three programming languages –R, Mathematica and EXCEL. Each of the three approaches offers unique advantages. The computer applications are carefully introduced and require little prior programming background. The financial derivative models that are included in this book are virtually identical to those covered in the top financial professional certificate programs in finance. The overlap of financial models between these programs and this book is broad and deep.

Author : J. Robert Buchanan
Publisher : Unknown
Page : 128 pages
File Size : 50,9 Mb
Release : 2012
Category : Electronic
ISBN : 9814407453

Get Book

An Undergraduate Introduction to Financial Mathematics by J. Robert Buchanan Pdf

Author : Arlie O. Petters,Xiaoying Dong
Publisher : Springer
Page : 483 pages
File Size : 45,8 Mb
Release : 2016-06-17
Category : Mathematics
ISBN : 9781493937837

Get Book

An Introduction to Mathematical Finance with Applications by Arlie O. Petters,Xiaoying Dong Pdf

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 models, including those that may become proprietary. Numerous carefully chosen examples and exercises reinforce the student’s conceptual understanding and facility with applications. The exercises are divided into conceptual, application-based, and theoretical problems, which probe the material deeper. The book is aimed toward advanced undergraduates and first-year graduate students who are new to finance or want a more rigorous treatment of the mathematical models used within. While no background in finance is assumed, prerequisite math courses include multivariable calculus, probability, and linear algebra. The authors introduce additional mathematical tools as needed. The entire textbook is appropriate for a single year-long course on introductory mathematical finance. The self-contained design of the text allows for instructor flexibility in topics courses and those focusing on financial derivatives. Moreover, the text is useful for mathematicians, physicists, and engineers who want to learn finance via an approach that builds their financial intuition and is explicit about model building, as well as business school students who want a treatment of finance that is deeper but not overly theoretical.

Author : J. Robert Buchanan
Publisher : Unknown
Page : 372 pages
File Size : 47,9 Mb
Release : 2008
Category : Electronic books
ISBN : 9812835369

Get Book

Undergraduate Introduction To Financial Mathematics, An (Second Edition) by J. Robert Buchanan Pdf

Author : Jaksa Cvitanic,Fernando Zapatero
Publisher : MIT Press
Page : 528 pages
File Size : 40,9 Mb
Release : 2004-02-27
Category : Business & Economics
ISBN : 0262033208

Get Book

Introduction to the Economics and Mathematics of Financial Markets by Jaksa Cvitanic,Fernando Zapatero Pdf

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.

Author : Desmond J. Higham
Publisher : Cambridge University Press
Page : 300 pages
File Size : 45,5 Mb
Release : 2004-04-15
Category : Business & Economics
ISBN : 0521547571

Get Book

An Introduction to Financial Option Valuation by Desmond J. Higham Pdf

A textbook providing an introduction to financial option valuation for undergraduates. Solutions available from [email protected].

Author : Giuseppe Campolieti,Roman N. Makarov
Publisher : CRC Press
Page : 662 pages
File Size : 48,7 Mb
Release : 2022-12-21
Category : Business & Economics
ISBN : 9780429889097

Get Book

Financial Mathematics by Giuseppe Campolieti,Roman N. Makarov Pdf

The book has been tested and refined through years of classroom teaching experience. 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. This textbook provides complete coverage of continuous-time financial models that form the cornerstones of financial derivative pricing theory. Unlike similar texts in the field, this one presents multiple problem-solving approaches, linking related comprehensive techniques for pricing different types of financial derivatives. Key features: In-depth coverage of continuous-time theory and methodology Numerous, fully worked out examples and exercises in every chapter Mathematically rigorous and consistent, yet bridging various basic and more advanced concepts Judicious balance of financial theory and mathematical methods Guide to Material This revision contains: Almost 150 pages worth of new material in all chapters A appendix on probability theory An expanded set of solved problems and additional exercises Answers to all exercises This book is a comprehensive, self-contained, and unified treatment of the main theory and application of mathematical methods behind modern-day financial mathematics. The text complements Financial Mathematics: A Comprehensive Treatment in Discrete Time, by the same authors, also published by CRC Press.

Author : Donald G. Saari
Publisher : Springer Nature
Page : 144 pages
File Size : 44,6 Mb
Release : 2019-08-31
Category : Mathematics
ISBN : 9783030254438

Get Book

Mathematics of Finance by Donald G. Saari Pdf

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 what techniques to apply and when. By exploring the conceptual foundations of options pricing, the author equips readers to choose their tools with a critical eye and adapt to emerging challenges. Introducing the basics of gambles through realistic scenarios, the text goes on to build the core financial techniques of Puts, Calls, hedging, and arbitrage. Chapters on modeling and probability lead into the centerpiece: the Black–Scholes equation. Omitting the mechanics of solving Black–Scholes itself, the presentation instead focuses on an in-depth analysis of its derivation and solutions. Advanced topics that follow include the Greeks, American options, and embellishments. Throughout, the author presents topics in an engaging conversational style. “Intuition breaks” frequently prompt students to set aside mathematical details and think critically about the relevance of tools in context. Mathematics of Finance is ideal for undergraduates from a variety of backgrounds, including mathematics, economics, statistics, data science, and computer science. Students should have experience with the standard calculus sequence, as well as a familiarity with differential equations and probability. No financial expertise is assumed of student or instructor; in fact, the text’s deep connection to mathematical ideas makes it suitable for a math capstone course. A complete set of the author’s lecture videos is available on YouTube, providing a comprehensive supplementary resource for a course or independent study.

Author : Hugo D. Junghenn
Publisher : CRC Press
Page : 318 pages
File Size : 55,5 Mb
Release : 2019-03-14
Category : Business & Economics
ISBN : 9780429554490

Get Book

An Introduction to Financial Mathematics by Hugo D. Junghenn Pdf

Introduction to Financial Mathematics: Option Valuation, Second Edition is a well-rounded primer to the mathematics and models used in the valuation of financial derivatives. The book consists of fifteen chapters, the first ten of which develop option valuation techniques in discrete time, the last five describing the theory in continuous time. The first half of the textbook develops basic finance and probability. The author then treats the binomial model as the primary example of discrete-time option valuation. The final part of the textbook examines the Black-Scholes model. The book is written to provide a straightforward account of the principles of option pricing and examines these principles in detail using standard discrete and stochastic calculus models. Additionally, the second edition has new exercises and examples, and includes many tables and graphs generated by over 30 MS Excel VBA modules available on the author’s webpage https://home.gwu.edu/~hdj/.

Author : Suresh Chandra,S. Dharmaraja,Aparna Mehra,R. Khemchandani
Publisher : Unknown
Page : 0 pages
File Size : 40,9 Mb
Release : 2013
Category : Mathematics
ISBN : 1842656546

Get Book

Financial Mathematics by Suresh Chandra,S. Dharmaraja,Aparna Mehra,R. Khemchandani Pdf

Provides an introductory text on financial mathematics. Apart from presenting two Nobel Prize winning theories of Black, Scholes and Merton for option pricing and Mean-Variance approach of Markowitz for portfolio optimization, the text also includes now standard topics of interest rate and interest rate derivatives.

Author : Steven Roman
Publisher : Springer Science & Business Media
Page : 358 pages
File Size : 42,8 Mb
Release : 2013-12-01
Category : Mathematics
ISBN : 9781441990051

Get Book

Introduction to the Mathematics of Finance by Steven Roman Pdf

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 Field Theory, published by Springer-Verlag.

Author : Hugo D. Junghenn
Publisher : CRC Press
Page : 268 pages
File Size : 44,6 Mb
Release : 2011-11-23
Category : Business & Economics
ISBN : 9781439889114

Get Book

Option Valuation by Hugo D. Junghenn Pdf

Option Valuation: A First Course in Financial Mathematics provides a straightforward introduction to the mathematics and models used in the valuation of financial derivatives. It examines the principles of option pricing in detail via standard binomial and stochastic calculus models. Developing the requisite mathematical background as needed, the text presents an introduction to probability theory and stochastic calculus suitable for undergraduate students in mathematics, economics, and finance. The first nine chapters of the book describe option valuation techniques in discrete time, focusing on the binomial model. The author shows how the binomial model offers a practical method for pricing options using relatively elementary mathematical tools. The binomial model also enables a clear, concrete exposition of fundamental principles of finance, such as arbitrage and hedging, without the distraction of complex mathematical constructs. The remaining chapters illustrate the theory in continuous time, with an emphasis on the more mathematically sophisticated Black-Scholes-Merton model. Largely self-contained, this classroom-tested text offers a sound introduction to applied probability through a mathematical finance perspective. Numerous examples and exercises help students gain expertise with financial calculus methods and increase their general mathematical sophistication. The exercises range from routine applications to spreadsheet projects to the pricing of a variety of complex financial instruments. Hints and solutions to odd-numbered problems are given in an appendix and a full solutions manual is available for qualifying instructors.

Author : Victor Goodman,Joseph Gail Stampfli
Publisher : American Mathematical Soc.
Page : 274 pages
File Size : 47,9 Mb
Release : 2009
Category : Capital market
ISBN : 9780821847930

Get Book

The Mathematics of Finance by Victor Goodman,Joseph Gail Stampfli Pdf

The book begins with binomial stock price models, moves on to multistage models, then to the Cox-Ross-Rubinstein option pricing process, and then to the Black-Scholes formula. Other topics presented include Zero Coupon Bonds, forward rates, the yield curve, and several bond price models. The book continues with foreign exchange models and the Keynes Interest Rate Parity Formula, and concludes with the study of country risk, a topic not inappropriate for the times."--pub. desc.