Stochastic finance

an introduction in discrete time

Matemáticas fundamentales para estudios universitarios

Esta obra no tiene más intención que la de ser una contribución para paliar el problema más repetidamente observado en los últimos tiempos para la mayoría de los docentes universitarios: la acusada disminución en el nivel académico, en lo que a conocimientos matemáticos se refiere ...

Mathemathics for finance

an introduction to financial engineering

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 ...

Dynamics stochastic optimization

This volume considers optimal stochastic decision processes from the viewpoint of stochastic programming. It focuses on theoretical properties and on approximate or numerical solution techniques for time-dependent optimization problems with random parameters (multistage stochastic programs, optimal stochastic decision processes). Methods for finding approximate solutions of ...

Vector optimization

theory,applications,and extensions

This book presents fundamentals and important results of vector optimization in a general setting. The theory developed includes scalarization, existence theorems, a generalized Lagrange multiplier rule and duality results. Applications to vector approximation, cooperative game theory and multiobjective optimization are described. The theory is extended ...

Unsolved problems in mathematical systems and control theory

This book provides clear presentations of more than sixty important unsolved problems in mathematical systems and control theory. Each of the problems included here is proposed by a leading expert and set forth in an accessible manner. Covering a wide range of areas, the book ...

Putting auction theory to work

This book provides a comprehensive introduction to modern auction theory and its important new applications. It is written by a leading economic theorist whose suggestions guided the creation of the new spectrum auction designs. Aimed at graduate students and professionals in economics, the book gives ...

Stochastic optimization in continuous time

Most of the current books on stochastic control theory are written for students in mathematics or finance. This introduction is designed, however, for those interested in the relevance and applications of the theory's mathematical principles to economics. Therefore, mathematical methods are discussed intuitively and ...

Risk and financial management

mathematical and computational methods

Financial risk management has become a popular practice amongst financial institutions to protect against the adverse effects of uncertainty caused by fluctuations in interest rates, exchange rates, commodity prices, and equity prices. New financial instruments and mathematical techniques are continuously developed and introduced in financial ...

Levy processes in finance

pricing financial derivatives

Financial mathematics has recently enjoyed considerable interest on account of its impact on the finance industry. In parallel, the theory of Lévy processes has also seen many exciting developments. These powerful modelling tools allow the user to model more complex phenomena, and are commonly applied ...

Economics as an agent-based complex system

toward agent-based social systems sciences

In agent-based modeling the focus is very much on agent-based simulation, as simulation is a very important tool for agent-based modeling. We also use agent-based simulation in this book with a stress on the mathematical foundation of agent-based modeling. We introduce two original mathematical frameworks ...

Theory of conjectural variations

This book presents, for the first time, a comprehensive account of conjectural variations equilibria in their static inceptions, featuring new comparative results of equilibria with regard to efficiency. It then describes several advances in Dynamic Game Theory, allowing to understand Conjectural Variations Equilibria as dynamic ...

Quantitative finance and risk management

a physicist's approach

Written by a physicist with over 15 years of experience as a quant on Wall Street, this book treats a wide variety of topics. Presenting the theory and practice of quantitative finance and risk, it delves into the "how to" and "what it's like ...

Theory of regular economies

This book presents a comprehensive treatment of the theory of regular economies, which is one of the most advanced topics in modern general equilibrium theory, emphasizing the basic ideas, the tools and the important applications. Although many notions and tools of differential topology are required ...

Un matemático invierte en bolsa

John Allen Paulos sintió a finales de los años noventa, en pleno auge de las empresas «punto com», la irresistible atracción del mundo de la Bolsa. Invirtió dinero, especuló con acciones, se arriesgó cada vez más y... ¡perdió!, tal vez al igual que muchos de ...

Cálculo

Este material se ha concebido, no para un lucimiento personal de quienes lo escriben,sino pensando única y exclusivamente en el alumno y en el alumno y en que aproveche al máximo el tiempo que le dedica a la asignatura.Siendo el Cálculo uno de ...

Cálculo superior

Incluye 925 problemas resueltos Tabla de Contenidos Números, funciones, límites y continuidad. Sucesiones. Derivadas. Integrales. Derivadas parciales. Vectores. Aplicaciones de las derivadas parciales. Integrales múltiples. Integrales curvilíneas. Integrales de superficie y teorema de integrales. Series. Integrales impropias. Funciones gamma y beta. Series de Fourier. Integrales ...

Math through the ages

a gentle history for teachers and others

Where did math come from? Who thought up all those algebra symbols? Who came up with the symbols for arithmetic? What's the story behind the metric system, Euclidean geometry, or complex numbers? What is it all for, anyway? Such questions come up naturally when ...

Optimización inteligente

técnicas de Inteligencia Computacional para optimización

El libro aborda la temática conocida como Inteligencia computacional (Soft Computing) en su aplicación al campo de la Optimización. Los distintos capitulos realizan un recorrido muy completo por las diferentes ramas de esta temática: Redes neuronales artificiales, Algoritmos genéticos, Meteheurísticas, Lógica borrosa y Técnicas mixtas.

Fundamentos de matemática aplicada

Este texto, pensado para estudiantes de carreras técnicas, consta de ocho capítulos o unidades temáticas que versan sobre álgebra y cálculo diferencial e integral de una variable. Cada capítulo posee un resumen teórico, con la estuctura adecuada y la extensión precisa para que el lector ...