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Author: Aaron Stevens Publisher: CreateSpace ISBN: 9781506199443 Category : Mathematics Languages : en Pages : 224
Book Description
Applied Mathematics for Personal Finance provides a general introduction to the ways that mathematics can be applied to personal financial decision-making. This book is suitable for college students with no previous background in economics or finance; only familiarity with high school algebra is assumed.This book demonstrates how you can utilize math skills you already know in application areas that may be unfamiliar; it also introduces some new math skills that you can apply to familiar problems. The book emphasizes the development and application of the economic life-cycle model as the framework for evaluating all of your personal financial decisions. Economists, including six Nobel Laureates, have spent close to a century developing the concept of life-cycle consumption smoothing. “Smoothing” refers to the need to spread your economic resources over your lifetime, taking into account that your future is highly uncertain.
Author: Aaron Stevens Publisher: CreateSpace ISBN: 9781506199443 Category : Mathematics Languages : en Pages : 224
Book Description
Applied Mathematics for Personal Finance provides a general introduction to the ways that mathematics can be applied to personal financial decision-making. This book is suitable for college students with no previous background in economics or finance; only familiarity with high school algebra is assumed.This book demonstrates how you can utilize math skills you already know in application areas that may be unfamiliar; it also introduces some new math skills that you can apply to familiar problems. The book emphasizes the development and application of the economic life-cycle model as the framework for evaluating all of your personal financial decisions. Economists, including six Nobel Laureates, have spent close to a century developing the concept of life-cycle consumption smoothing. “Smoothing” refers to the need to spread your economic resources over your lifetime, taking into account that your future is highly uncertain.
Author: McGraw-Hill Education Publisher: McGraw-Hill Education ISBN: 9780078805059 Category : Business & Economics Languages : en Pages : 0
Book Description
Glencoe’s Mathematics for Business and Personal Finance is the only text on the market that offers teachers point-of-use online professional development, interactive online help for students and the option of purchasing an interactive online text with a grade book. As always, we have maintained our exclusive coverage of key core academic content, and our research-based reading strategies.
Author: Ioannis Karatzas Publisher: Springer Science & Business Media ISBN: 0387948392 Category : Business & Economics Languages : en Pages : 427
Book Description
This monograph is a sequel to Brownian Motion and Stochastic Calculus by the same authors. Within the context of Brownian-motion- driven asset prices, it develops contingent claim pricing and optimal consumption/investment in both complete and incomplete markets. The latter topic is extended to a study of equilibrium, providing conditions for the existence and uniqueness of market prices which support trading by several heterogeneous agents. Although much of the incomplete-market material is available in research papers, these topics are treated for the first time in a unified manner. The book contains an extensive set of references and notes describing the field, including topics not treated in the text. This monograph should be of interest to researchers wishing to see advanced mathematics applied to finance. The material on optimal consumption and investment, leading to equilibrium, is addressed to the theoretical finance community. The chapters on contingent claim valuation present techniques of practical importance, especially for pricing exotic options. Also available by Ioannis Karatzas and Steven E. Shreve, Brownian Motion and Stochastic Calculus, Second Edition, Springer-Verlag New York, Inc., 1991, 470 pp., ISBN 0-387- 97655-8.
Author: Kevin J. Hastings Publisher: CRC Press ISBN: 9781032262369 Category : Business & Economics Languages : en Pages : 0
Book Description
The second edition of this successful and widely recognized textbook again focuses on discrete topics. The author recognizes two distinct paths of study and careers of actuarial science and financial engineering. This text can be very useful as a common core for both. Therefore, there is substantial material on the theory of interest (the first half of the book), as well as the probabilistic background necessary for the study of portfolio optimization and derivative valuation (the second half). The material in the first two chapters should go a long way toward helping students prepare for the Financial Mathematics (FM) actuarial exam. Also, the discrete material will reveal how beneficial it is to know more about loans in student's personal financial lives. The notable changes and updates to this edition are itemized in the Preface, however, overall, the presentation has been made more efficient. One example is the chapter on discrete probability, rather unique in its emphasis on giving the deterministic problems studied earlier a probabilistic context. Probably is now a subsection on Markov chains. Sample spaces and probability measures, random variables and distributions, expectation, conditional probability, independence, and estimation all follow. Optimal portfolio selection coverage is reorganized and the section on the practicalities of stock transactions has been revised. Market portfolio, and Capital Market Theory coverage is expanded. This book, like the first edition, was written so that the print edition could stand alone. At times we simplify complicated algebraic expressions, or solve systems of linear equations, or numerically solve non-linear equations. Also, some attention is given to the use of computer simulation to approximate solutions to problems. A course in multivariable calculus is not required. The entire text is available digitally from the publisher in the form of a series of Mathematica notebooks, which can be loaded into Mathematica, and which include complete executable commands and programs, and some additional material.
Author: Marek Capinski Publisher: Springer ISBN: 1852338466 Category : Business & Economics Languages : en Pages : 317
Book Description
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: M. J. Alhabeeb Publisher: Wiley ISBN: 9780470641842 Category : Mathematics Languages : en Pages : 554
Book Description
An introduction to the mathematical skills needed to understand finance and make better financial decisions Mathematical Finance enables readers to develop the mathematical skills needed to better understand and solve financial problems that arise in business, from small entrepreneurial operations to large corporations, and to also make better personal financial decisions. Despite the availability of automated tools to perform financial calculations, the author demonstrates that a basic grasp of the underlying mathematical formulas and tables is essential to truly understand finance. The book begins with an introduction to the most fundamental mathematical concepts, including numbers, exponents, and logarithms; mathematical progressions; and statistical measures. Next, the author explores the mathematics of the time value of money through a discussion of simple interest, bank discount, compound interest, and annuities. Subsequent chapters explore the mathematical aspects of various financial scenarios, including: Mortgage debt, leasing, and credit and loans Capital budgeting, depreciation, and depletion Break-even analysis and leverage Investing, with coverage of stocks, bonds, mutual funds, options, cost of capital, and ratio analysis Return and risk, along with a discussion of the Capital Asset Pricing Model (CAPM) Life annuities as well as life, property, and casualty insurance Throughout the book, numerous examples and exercises present realistic financial scenarios that aid readers in applying their newfound mathematical skills to devise solutions. The author does not promote the use of financial calculators and computers, but rather guides readers through problem solving using formulas and tables with little emphasis on derivations and proofs. Extensively class-tested to ensure an easy-to-follow presentation, Mathematical Finance is an excellent book for courses in business, economics, and mathematics of finance at the upper-undergraduate and graduate levels. The book is also appropriate for consumers and entrepreneurs who need to build their mathematical skills in order to better understand financial problems and make better financial choices.
Author: Wolfgang Karl Härdle Publisher: Springer ISBN: 3662544865 Category : Business & Economics Languages : en Pages : 369
Book Description
This volume provides practical solutions and introduces recent theoretical developments in risk management, pricing of credit derivatives, quantification of volatility and copula modeling. This third edition is devoted to modern risk analysis based on quantitative methods and textual analytics to meet the current challenges in banking and finance. It includes 14 new contributions and presents a comprehensive, state-of-the-art treatment of cutting-edge methods and topics, such as collateralized debt obligations, the high-frequency analysis of market liquidity, and realized volatility. The book is divided into three parts: Part 1 revisits important market risk issues, while Part 2 introduces novel concepts in credit risk and its management along with updated quantitative methods. The third part discusses the dynamics of risk management and includes risk analysis of energy markets and for cryptocurrencies. Digital assets, such as blockchain-based currencies, have become popular b ut are theoretically challenging when based on conventional methods. Among others, it introduces a modern text-mining method called dynamic topic modeling in detail and applies it to the message board of Bitcoins. The unique synthesis of theory and practice supported by computational tools is reflected not only in the selection of topics, but also in the fine balance of scientific contributions on practical implementation and theoretical concepts. This link between theory and practice offers theoreticians insights into considerations of applicability and, vice versa, provides practitioners convenient access to new techniques in quantitative finance. Hence the book will appeal both to researchers, including master and PhD students, and practitioners, such as financial engineers. The results presented in the book are fully reproducible and all quantlets needed for calculations are provided on an accompanying website. The Quantlet platform quantlet.de, quantlet.com, quantlet.org is an integrated QuantNet environment consisting of different types of statistics-related documents and program codes. Its goal is to promote reproducibility and offer a platform for sharing validated knowledge native to the social web. QuantNet and the corresponding Data-Driven Documents-based visualization allows readers to reproduce the tables, pictures and calculations inside this Springer book.
Author: Rachel S. Siegel Publisher: ISBN: 9781453334805 Category : College students Languages : en Pages : 0
Book Description
"Personal Finance was written with two simple goals in mind: to help students develop a strong sense of financial literacy and provide a wide range of pedagogical aids to keep them engaged and on track. This book is a practical introduction that covers all of the fundamentals and introduces conceptual frameworks, such as the life cycle of financial decisions and basic market dynamics, in a way that students can easily grasp and readily use in their personal lives." --Provided by publisher.
Author: Aaron Stevens
Author: Aaron Stevens
Author: Mary Hansen
Author: McGraw-Hill Education
Author: Ioannis Karatzas
Author: Kevin J. Hastings
Author: Martin Baxter
Author: Marek Capinski
Author: M. J. Alhabeeb
Author: Wolfgang Karl Härdle
Author: Rachel S. Siegel