An Introduction to the Mathematics of Money

An Introduction to the Mathematics of Money PDF

Author: David Lovelock

Publisher: Springer Science & Business Media

Published: 2007-04-05

Total Pages: 297

ISBN-13: 0387681116

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This is an undergraduate textbook on the basic aspects of personal savings and investing with a balanced mix of mathematical rigor and economic intuition. It uses routine financial calculations as the motivation and basis for tools of elementary real analysis rather than taking the latter as given. Proofs using induction, recurrence relations and proofs by contradiction are covered. Inequalities such as the Arithmetic-Geometric Mean Inequality and the Cauchy-Schwarz Inequality are used. Basic topics in probability and statistics are presented. The student is introduced to elements of saving and investing that are of life-long practical use. These include savings and checking accounts, certificates of deposit, student loans, credit cards, mortgages, buying and selling bonds, and buying and selling stocks. The book is self contained and accessible. The authors follow a systematic pattern for each chapter including a variety of examples and exercises ensuring that the student deals with realities, rather than theoretical idealizations. It is suitable for courses in mathematics, investing, banking, financial engineering, and related topics.

The Mathematics of Financial Modeling and Investment Management

The Mathematics of Financial Modeling and Investment Management PDF

Author: Sergio M. Focardi

Publisher: John Wiley & Sons

Published: 2004-04-12

Total Pages: 802

ISBN-13: 0471674230

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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.

The Mathematics of Finance

The Mathematics of Finance PDF

Author: Victor Goodman

Publisher: American Mathematical Soc.

Published: 2009

Total Pages: 274

ISBN-13: 0821847937

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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.

The Math of Money

The Math of Money PDF

Author: Morton D. Davis

Publisher: Springer Science & Business Media

Published: 2013-04-17

Total Pages: 182

ISBN-13: 1475743343

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This lively and practical introduction to the mathematics of money invites us to take a fresh look at the numbers that underpin our financial decisions. Morton D. Davis talks about strategies to use when we are required to bet against the odds (purchasing auto insurance) or choose to bet against the odds (wagering in a casino or at the track). He considers the ways in which we can streamline and simplify the choices available to us in mortgages and other loans. And he helps us understand the real probabilities when we accept a tip on that "one in a thousand" stock, even when the tip comes from a successful day trader. With a wealth of entertaining and counterintuitive examples, The Math of Money delights as well as informs, and will help readers treat their financial resources more rationally.

The Mathematics of Money Management

The Mathematics of Money Management PDF

Author: Ralph Vince

Publisher: John Wiley & Sons

Published: 1992-08-04

Total Pages: 404

ISBN-13: 9780471547389

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Every futures, options, and stock markets trader operates under a set of highly suspect rules and assumptions. Are you risking your career on yours? Exceptionally clear and easy to use, The Mathematics of Money Management substitutes precise mathematical modeling for the subjective decision-making processes many traders and serious investors depend on. Step-by-step, it unveils powerful strategies for creating and using key money management formulas--based on the rules of probability and modern portfolio theory--that maximizes the potential gains for the level of risk you are assuming. With them, you'll determine the payoffs and consequences of any potential trading decision and obtain the highest potential growth for your specified level of risk. You'll quickly decide: What markets to trade in and at what quantities When to add or subtract funds from an account How to reinvest trading profits for maximum yield The Mathematics of Money Management provides the missing element in modern portfolio theory that weds optimal f to the optimal portfolio.

Mathematics for Finance

Mathematics for Finance PDF

Author: Marek Capinski

Publisher: Springer

Published: 2006-04-18

Total Pages: 317

ISBN-13: 1852338466

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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.

Money and Mathematics

Money and Mathematics PDF

Author: Ralf Korn

Publisher: Springer Nature

Published: 2021-10-26

Total Pages: 300

ISBN-13: 3658346779

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This book follows a conversational approach in five dozen stories that provide an insight into the colorful world of financial mathematics and financial markets in a relaxed, accessible and entertaining form. The authors present various topics such as returns, real interest rates, present values, arbitrage, replication, options, swaps, the Black-Scholes formula and many more. The readers will learn how to discover, analyze, and deal with the many financial mathematical decisions the daily routine constantly demands. The book covers a wide field in terms of scope and thematic diversity. Numerous stories are inspired by the fields of deterministic financial mathematics, option valuation, portfolio optimization and actuarial mathematics. The book also contains a collection of basic concepts and formulas of financial mathematics and of probability theory. Thus, also readers new to the subject will be provided with all the necessary information to verify the calculations.