Introduction to the mathematics of finance : arbitrage and option pricing /

"The Mathematics of Finance has been a hot topic ever since the discovery of the Black-Scholes option pricing formulas in 1973. Unfortunately, there are very few undergraduate textbooks in this area. This book is specifically written for advanced undergraduate or beginning graduate students in...

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Detalles Bibliográficos
Autor principal: Roman, Steven
Formato: Libro
Lenguaje:Inglés
Publicado: New York : Springer, c2012.
Edición:2nd ed.
Colección:Undergraduate texts in mathematics.
Materias:
Aporte de:Registro referencial: Solicitar el recurso aquí
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010 |a  2012936125 
020 |a 9781461435815 
020 |a 1461435811 
035 |a (OCoLC)785082509 
035 |a (OCoLC)ocn785082509 
040 |a BTCTA  |c DLC  |d BTCTA  |d OCLCQ  |d U@S 
042 |a lccopycat 
049 |a U@SA 
050 0 0 |a HG4515.3  |b .R66 2012 
082 0 4 |a 332.01/513 
100 1 |a Roman, Steven. 
245 1 0 |a Introduction to the mathematics of finance :  |b arbitrage and option pricing /  |c Steven Roman. 
250 |a 2nd ed. 
260 |a New York :  |b Springer,  |c c2012. 
300 |a xvi, 287 p. :  |b il. ;  |c 25 cm. 
490 1 |a Undergraduate texts in mathematics 
504 |a Incluye referencias bibliográficas (p. 281-282) e índice. 
505 0 |a Preface -- Notation key and greek alphabet -- Introduction -- Part 1. Options and arbitrage: Background on options -- An Aperitif on arbitrage -- Part 2. Discrete-time pricing models: Discrete probability -- Stochastic processes, filtrations and martingales -- Discrete-time pricing models -- The Binomial model -- Pricing nonattainable alternatives in an incomplete market -- Optimal stopping and American options -- Part 3. The Black-Scholes option pricing formula: Continuous probability -- The Black-Scholes option pricing formula -- Appendix A: Convexity and the separation theorem -- Appendix B: Closed, convex cones -- Selected solutions. 
520 |a "The Mathematics of Finance has been a hot topic ever since the discovery of the Black-Scholes option pricing formulas in 1973. Unfortunately, there are very few undergraduate textbooks in this area. This book is specifically written for advanced undergraduate or beginning graduate students in mathematics, finance or economics. This book concentrates on discrete derivative pricing models, culminating in a careful and complete derivation of the Black-Scholes option pricing formulas as a limiting case of the Cox-Ross-Rubinstein discrete model. This second edition is a complete rewrite of the first edition with significant changes to the topic organization, thus making the book flow much more smoothly. Several topics have been expanded such as the discussions of options, including the history of options, and pricing nonattainable alternatives. In this edition the material on probability has been condensed into fewer chapters, and the material on the capital asset pricing model has been removed. The mathematics is not watered down, but it is appropriate for the intended audience. Previous knowledge of measure theory is not needed and only a small amount of linear algebra is required. All necessary probability theory is developed throughout the book on a "need-to-know" basis. No background in finance is required, since the book contains a chapter on options." --Descripción del editor. 
650 0 |a Investments  |x Mathematics. 
650 0 |a Capital assets pricing model. 
650 0 |a Portfolio management  |x Mathematical models. 
650 0 |a Options (Finance)  |x Prices. 
650 7 |a Inversiones  |x Matemáticas.  |2 UDESA 
650 7 |a Modelo de valoración de activos financieros.  |2 UDESA 
650 7 |a Cartera de valores  |x Dirección y administración  |x Modelos matemáticos.  |2 UDESA 
650 7 |a Opciones (Finanzas)  |x Precios.  |2 UDESA 
830 0 |a Undergraduate texts in mathematics.