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.
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"As the authors modestly announce ... the book is an excellent financial investment. ... The level of exposition is pretty basic ... . That makes the book accessible to second year undergraduate students (not only for students of mathematics, but hopefully also for students of business management, finance and economics). ... the overall impression of the book is quite positive. The reviewer can only congratulate the authors with successful completion of a difficult task of writing a useful textbook on a traditionally hard topic." --K. Borovkov, The Australian Mathematical Society Gazette, Vol. 31 (4), 2004
"This text is an excellent introduction to Mathematical Finance. ... The text serves as an easily understood introduction to the economic concepts ... . The book contains many worked examples and exercises and would make a useful textbook for a first course in Financial Mathematics." --Julann O Shea, Zentralblatt MATH, Vol. 1035, 2004
"Designed to form the basis of an undergraduate course in mathematical finance, the text builds on mathematical models of bond and stock prices ... . It covers the material ... at a level accessible to second or third year undergraduate students. ... provides ample material for tutorials, and makes the book ideal for self-study. It is suitable not only for students of mathematics, but also students of business management, finance and economics, and anyone with an interest in finance ... ." --Zentralblatt für Didaktik der Mathematik, August, 2004
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