Essential Financial Mathematics

2014-03-24

Author: Joseph Previte

Publisher: Lulu.com

ISBN: 9781304874405

Category: Business & Economics

Page: 146

View: 764

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This text is designed for a one-semester non-technical introduction to the mathematics of finance. Topics include: interest, inflation, retirements, annuities, mortgages, taxes, credit cards, leases, stocks and bonds, and other investments.

Martingales and Financial Mathematics in Discrete Time

2022-01-19

Author: Benoîte de Saporta

Publisher: John Wiley & Sons

ISBN: 9781786306692

Category: Mathematics

Page: 240

View: 900

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This book is entirely devoted to discrete time and provides a detailed introduction to the construction of the rigorous mathematical tools required for the evaluation of options in financial markets. Both theoretical and practical aspects are explored through multiple examples and exercises, for which complete solutions are provided. Particular attention is paid to the Cox, Ross and Rubinstein model in discrete time. The book offers a combination of mathematical teaching and numerous exercises for wide appeal. It is a useful reference for students at the master’s or doctoral level who are specializing in applied mathematics or finance as well as teachers, researchers in the field of economics or actuarial science, or professionals working in the various financial sectors. Martingales and Financial Mathematics in Discrete Time is also for anyone who may be interested in a rigorous and accessible mathematical construction of the tools and concepts used in financial mathematics, or in the application of the martingale theory in finance

Financial Mathematics

2018-10-24

Author: Giuseppe Campolieti

Publisher: CRC Press

ISBN: 9781315362854

Category: Business & Economics

Page: 829

View: 816

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Versatile for Several Interrelated Courses at the Undergraduate and Graduate Levels Financial Mathematics: A Comprehensive Treatment provides a unified, self-contained account of the main theory and application of methods behind modern-day financial mathematics. Tested and refined through years of the authors’ teaching experiences, the book encompasses a breadth of topics, from introductory to more advanced ones. Accessible to undergraduate students in mathematics, finance, actuarial science, economics, and related quantitative areas, much of the text covers essential material for core curriculum courses on financial mathematics. Some of the more advanced topics, such as formal derivative pricing theory, stochastic calculus, Monte Carlo simulation, and numerical methods, can be used in courses at the graduate level. Researchers and practitioners in quantitative finance will also benefit from the combination of analytical and numerical methods for solving various derivative pricing problems. 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. Unlike similar texts in the field, this one presents multiple problem-solving approaches, linking related comprehensive techniques for pricing different types of financial derivatives. The book provides complete coverage of both discrete- and continuous-time financial models that form the cornerstones of financial derivative pricing theory. It also presents a self-contained introduction to stochastic calculus and martingale theory, which are key fundamental elements in quantitative finance.

Classical Financial Mathematics

2021-05-25

Author: Bernd Luderer

Publisher: Springer Nature

ISBN: 9783658320386

Category: Mathematics

Page: 51

View: 418

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This essential teaches basic formulas, methods and ideas of classical financial mathematics. Since classical financial mathematics makes do with elementary mathematical tools, any interested reader with average mathematical school knowledge can easily follow this text. The core of the text is the calculation of interest and compound interest, annuity calculation, amortization calculation and price calculation. A large number of practical examples illustrate the mathematical questions. This Springer essential is a translation of the original German 1st edition essentials, Klassische Finanzmathematik by Bernd Luderer, published by Springer Fachmedien Wiesbaden GmbH, part of Springer Nature in 2019. The translation was done with the help of artificial intelligence (machine translation by the service DeepL.com). A subsequent human revision was done primarily in terms of content, so that the book will read stylistically differently from a conventional translation. Springer Nature works continuously to further the development of tools for the production of books and on the related technologies to support the authors.

Money and Mathematics

Author: Ralf Korn

Publisher: Springer Nature

ISBN: 9783658346775

Category:

Page:

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Convex Duality and Financial Mathematics

2018-07-18

Author: Peter Carr

Publisher: Springer

ISBN: 9783319924922

Category: Mathematics

Page: 152

View: 483

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This book provides a concise introduction to convex duality in financial mathematics. Convex duality plays an essential role in dealing with financial problems and involves maximizing concave utility functions and minimizing convex risk measures. Recently, convex and generalized convex dualities have shown to be crucial in the process of the dynamic hedging of contingent claims. Common underlying principles and connections between different perspectives are developed; results are illustrated through graphs and explained heuristically. This book can be used as a reference and is aimed toward graduate students, researchers and practitioners in mathematics, finance, economics, and optimization. Topics include: Markowitz portfolio theory, growth portfolio theory, fundamental theorem of asset pricing emphasizing the duality between utility optimization and pricing by martingale measures, risk measures and its dual representation, hedging and super-hedging and its relationship with linear programming duality and the duality relationship in dynamic hedging of contingent claims

Essential Mathematics for Market Risk Management

2012-01-17

Author: Simon Hubbert

Publisher: John Wiley & Sons

ISBN: 9781119979524

Category: Business & Economics

Page: 350

View: 778

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Everything you need to know in order to manage risk effectively within your organization You cannot afford to ignore the explosion in mathematical finance in your quest to remain competitive. This exciting branch of mathematics has very direct practical implications: when a new model is tested and implemented it can have an immediate impact on the financial environment. With risk management top of the agenda for many organizations, this book is essential reading for getting to grips with the mathematical story behind the subject of financial risk management. It will take you on a journey—from the early ideas of risk quantification up to today's sophisticated models and approaches to business risk management. To help you investigate the most up-to-date, pioneering developments in modern risk management, the book presents statistical theories and shows you how to put statistical tools into action to investigate areas such as the design of mathematical models for financial volatility or calculating the value at risk for an investment portfolio. Respected academic author Simon Hubbert is the youngest director of a financial engineering program in the U.K. He brings his industry experience to his practical approach to risk analysis Captures the essential mathematical tools needed to explore many common risk management problems Website with model simulations and source code enables you to put models of risk management into practice Plunges into the world of high-risk finance and examines the crucial relationship between the risk and the potential reward of holding a portfolio of risky financial assets This book is your one-stop-shop for effective risk management.

Financial Mathematics For Actuaries (Third Edition)

2021-09-14

Author: Wai-sum Chan

Publisher: World Scientific

ISBN: 9789811243295

Category: Business & Economics

Page: 368

View: 933

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This book provides a thorough understanding of the fundamental concepts of financial mathematics essential for the evaluation of any financial product and instrument. Mastering concepts of present and future values of streams of cash flows under different interest rate environments is core for actuaries and financial economists. This book covers the body of knowledge required by the Society of Actuaries (SOA) for its Financial Mathematics (FM) Exam.The third edition includes major changes such as an addition of an 'R Laboratory' section in each chapter, except for Chapter 9. These sections provide R codes to do various computations, which will facilitate students to apply conceptual knowledge. Additionally, key definitions have been revised and the theme structure has been altered. Students studying undergraduate courses on financial mathematics for actuaries will find this book useful. This book offers numerous examples and exercises, some of which are adapted from previous SOA FM Exams. It is also useful for students preparing for the actuarial professional exams through self-study.

Financial Mathematics

2018-10-24

Author: Giuseppe Campolieti

Publisher: CRC Press

ISBN: 9781315360485

Category: Business & Economics

Page: 829

View: 123

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Versatile for Several Interrelated Courses at the Undergraduate and Graduate Levels Financial Mathematics: A Comprehensive Treatment provides a unified, self-contained account of the main theory and application of methods behind modern-day financial mathematics. Tested and refined through years of the authors’ teaching experiences, the book encompasses a breadth of topics, from introductory to more advanced ones. Accessible to undergraduate students in mathematics, finance, actuarial science, economics, and related quantitative areas, much of the text covers essential material for core curriculum courses on financial mathematics. Some of the more advanced topics, such as formal derivative pricing theory, stochastic calculus, Monte Carlo simulation, and numerical methods, can be used in courses at the graduate level. Researchers and practitioners in quantitative finance will also benefit from the combination of analytical and numerical methods for solving various derivative pricing problems. 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. Unlike similar texts in the field, this one presents multiple problem-solving approaches, linking related comprehensive techniques for pricing different types of financial derivatives. The book provides complete coverage of both discrete- and continuous-time financial models that form the cornerstones of financial derivative pricing theory. It also presents a self-contained introduction to stochastic calculus and martingale theory, which are key fundamental elements in quantitative finance.

Introduction to Financial Mathematics

2021-06-17

Author: Donald R. Chambers

Publisher: CRC Press

ISBN: 9781000370126

Category: Mathematics

Page: 580

View: 336

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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.

Essential Mathematics for Economics and Business

2013-05-06

Author: Teresa Bradley

Publisher: John Wiley & Sons

ISBN: 9781118358290

Category: Business & Economics

Page: 688

View: 744

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Essential Mathematics for Economics and Business is established as one of the leading introductory textbooks on mathematics for students of business and economics. Combining a user–friendly approach to mathematics with practical applications to the subjects, the text provides students with a clear and comprehensible guide to mathematics. The fundamental mathematical concepts are explained in a simple and accessible style, using a wide selection of worked examples, progress exercises and real–world applications. New to this Edition Fully updated text with revised worked examples and updated material on Excel and Powerpoint New exercises in mathematics and its applications to give further clarity and practice opportunities Fully updated online material including animations and a new test bank The fourth edition is supported by a companion website at www.wiley.com/college/bradley, which contains: Animations of selected worked examples providing students with a new way of understanding the problems Access to the Maple T.A. test bank, which features over 500 algorithmic questions Further learning material, applications, exercises and solutions. Problems in context studies, which present the mathematics in a business or economics framework. Updated PowerPoint slides, Excel problems and solutions. "The text is aimed at providing an introductory-level exposition of mathematical methods for economics and business students. In terms of level, pace, complexity of examples and user-friendly style the text is excellent - it genuinely recognises and meets the needs of students with minimal maths background." —Colin Glass, Emeritus Professor, University of Ulster "One of the major strengths of this book is the range of exercises in both drill and applications. Also the 'worked examples' are excellent; they provide examples of the use of mathematics to realistic problems and are easy to follow." —Donal Hurley, formerly of University College Cork "The most comprehensive reader in this topic yet, this book is an essential aid to the avid economist who loathes mathematics!" —Amazon.co.uk

Mastering Financial Mathematics in Microsoft Excel

2013-02-25

Author: Alastair Day

Publisher: Pearson UK

ISBN: 9780273746720

Category: Business & Economics

Page: 384

View: 958

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A practical guide for business calculations Mastering Financial Mathematics in Microsoft © Excel provides a comprehensive set of tools, methods and formulas which apply Excel to solving mathematical problems. The book: Explains basic calculations for mathematical finance Shows how to use formulas using straightforward Excel templates Provides a CD of basic templates This fully revised and updated guide is an essential companion for anyone involved in finance, from company accountants, through to analysts, treasury managers and business students. Explaining basic calculations and using examples and exercises, the book covers: Cash flows Bonds calculations and bonds risks Amortization and depreciation Forward interest rates and futures Foreign exchange Valuation Leasing Mastering Financial Mathematics in Microsoft Excel is a practical guide to using Excel for financial mathematics. This new edition includes: Excel 2007 Addition of a glossary of key terms Functions list in English and Euro languages Continuity check on all formats, layouts and charts More worked examples Addition of exercises at the end of each chapter to help build models About the authors Alastair Day has worked in the finance industry for more than 25 years in treasury and marketing functions and was formerly a director of a vendor leasing company specializing in the IT and technology industries. After sale to a public company he established Systematic Finance as a consultancy specializing in: ■ Financial modelling – review, design, build and audit ■ Training in financial modelling, corporate finance, leasing and credit analysis on an in-house and public basis throughout Europe, Middle East, Africa, Asia and America ■ Finance and operating lease structuring as a consultant and lessor Alastair is author of three modelling books published by FT Prentice Hall: Mastering Financial Modelling, Mastering Risk Modelling and Mastering Financial Mathematics in Excel, all of which are in their second editions, as well as other books and publications on financial analysis and leasing. Alastair has a degree in Economics and German from London University and an MBA from the Open University Business School. * * * * * * *

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