Mathematics for Finance: An Introduction to Financial Engineering (Springer Undergraduate Mathematics Series)

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. "Assuming only a basic knowledge of probability and calculus the 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. 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 who needs to understand the underlying theory."--Jacket 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. Contains the fundamentals for an undergraduate course in mathematical finance aimed primarily at students of mathematics. This book covers the time value of money, including the time structure of interest rates, bonds and stock valuation; derivative securities (futures, options), and modelling in discrete time, pricing and hedging. Cd-rom Includes A Collection Of Graphics And Animations On Mathematical Topics As Well As Programs For Design Of New Examples. Suppose that two assets are traded: one risk-free and one risky security.