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Other titles in the Springer Undergraduate Mathematics series:
Mathematics for Finance: An Introduction to Financial Engineering (Springer Undergraduate Mathematics Series)by Marek Capinski
Synopses & ReviewsPublisher Comments:Designed to form the basis of an undergraduate course in mathematical finance, this book builds on mathematical models of bond and stock prices and covers three major areas of mathematical finance that all have an enormous impact on the way modern financial markets operate, namely: Black-Scholes' arbitrage pricing of options and other derivative securities; Markowitz portfolio optimization theory and the Capital Asset Pricing Model; and interest rates and their term structure. Assuming only a basic knowledge of probability and calculus, it covers the material in a mathematically rigorous and complete way at a level accessible to second or third year undergraduate students. The text is interspersed with a multitude of worked examples and exercises, so it is ideal for self-study and suitable not only for students of mathematics, but also students of business management, finance and economics, and anyone with an interest in finance who needs to understand the underlying theory. Synopsis:Assuming only a basic knowledge of probability and calculus, this book combines financial motivation with mathematical style. It covers the material in a mathematically rigorous and complete way at a level accessible to second or third year undergraduate students. The text is interspersed with a multitude of worked examples and exercises, which provides ample material for tutorials, and makes the book ideal for self-study. Synopsis: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. Synopsis:Includes bibliographical references (p. 303-304) and index.
Table of ContentsIntroduction: A Simple Market Model.- Risk-Free Assets.- Risky Assets.- Discrete Time Market Models.- Portfolio Management.- Forward and Futures Contracts.- Options: General Properties.- Option Pricing.- Financial Engineering.- Variable Interest Rates.- Stochastic Interest Rates.- Solutions.- Bibliography.- Glossary of Symbols.- Index.
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