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| Author | : R. J. Williams |
| Publisher | : American Mathematical Society |
| Total Pages | : 162 |
| Release | : 2021-09-14 |
| Genre | : Mathematics |
| ISBN | : 1470460386 |
Download Introduction to the Mathematics of Finance Book in PDF, ePub and Kindle
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 | : Steven Roman |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 358 |
| Release | : 2013-12-01 |
| Genre | : Mathematics |
| ISBN | : 1441990054 |
Download Introduction to the Mathematics of Finance Book in PDF, ePub and Kindle
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 | : Stephen Garrett |
| Publisher | : Butterworth-Heinemann |
| Total Pages | : 464 |
| Release | : 2013-05-28 |
| Genre | : Mathematics |
| ISBN | : 0080982751 |
Download An Introduction to the Mathematics of Finance Book in PDF, ePub and Kindle
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 realigns the table of contents with the CT1 exam and includes sample questions from past exams of both The Actuarial Profession and the CFA Institute. With a wealth of solved problems and interesting applications, An Introduction to the Mathematics of Finance stands alone in its ability to address the needs of its primary target audience, the actuarial student. Closely follows the syllabus for the CT1 exam of The Institute and Faculty of Actuaries Features new content and more examples Online supplements available: http://booksite.elsevier.com/9780080982403/ Includes past exam questions from The Institute and Faculty of Actuaries and the CFA Institute
| Author | : Arlie O. Petters |
| Publisher | : Springer |
| Total Pages | : 483 |
| Release | : 2016-06-17 |
| Genre | : Mathematics |
| ISBN | : 1493937839 |
Download An Introduction to Mathematical Finance with Applications Book in PDF, ePub and Kindle
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 | : Marek Capinski |
| Publisher | : Springer |
| Total Pages | : 317 |
| Release | : 2006-04-18 |
| Genre | : Business & Economics |
| ISBN | : 1852338466 |
Download Mathematics for Finance Book in PDF, ePub and Kindle
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 | : Jaksa Cvitanic |
| Publisher | : MIT Press |
| Total Pages | : 528 |
| Release | : 2004-02-27 |
| Genre | : Business & Economics |
| ISBN | : 9780262033206 |
Download Introduction to the Economics and Mathematics of Financial Markets Book in PDF, ePub and Kindle
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 | : Victor Goodman |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 274 |
| Release | : 2009 |
| Genre | : Capital market |
| ISBN | : 0821847937 |
Download The Mathematics of Finance Book in PDF, ePub and Kindle
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.
| Author | : Donald G. Saari |
| Publisher | : Springer Nature |
| Total Pages | : 144 |
| Release | : 2019-08-31 |
| Genre | : Mathematics |
| ISBN | : 3030254437 |
Download Mathematics of Finance Book in PDF, ePub and Kindle
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 | : Suresh Chandra |
| Publisher | : |
| Total Pages | : 0 |
| Release | : 2013 |
| Genre | : Mathematics |
| ISBN | : 9781842656549 |
Download Financial Mathematics Book in PDF, ePub and Kindle
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 | : Sheldon M. Ross |
| Publisher | : Cambridge University Press |
| Total Pages | : 278 |
| Release | : 2003 |
| Genre | : Business & Economics |
| ISBN | : 9780521814294 |
Download An Elementary Introduction to Mathematical Finance Book in PDF, ePub and Kindle
Table of contents
