Finite difference methods in financial engineering

a partial differential equation approach

Today's most complete and practical guide to finite difference methods and its applications to derivatives The application of finite difference methods (FDM), long popular in areas such as fluid mechanics and heat transfer, has become increasingly vital for pricing derivative products in today's ...

Dynamic modeling of monetary and fiscal cooperation among nations

"Dynamic Modeling of Monetary and Fiscal Cooperation Among Nations" analyzes coordination of monetary and fiscal stabilization policies between countries and currency areas using a dynamic game approach. The first four chapters introduce the reader to the dynamics of fiscal and monetary policy cooperation. Issues covered ...

Mathematics of banking and finance

Throughout banking, mathematical techniques are used. Some of these are within software products or models; mathematicians use others to analyse data. The current literature on the subject is either very basic or very advanced. "The Mathematics of Banking" offers an intermediate guide to the various ...

Economics and finance of risk and of the future

Table of Contents: 1 Risks in a public project : the Millau Viaduct 2 Individual valuations and economic rationality 3 Aggregation of individual choices 4 Individual and collective risk management instruments 5 Insurable and uninsurable risks 6 Risk economics 7 Marketed risks 8 Management instruments for ...

Stochastic optimal control, international finance, and debt crises

This book focuses on the interaction between equilibrium real exchange rates, optimal external debt, endogenous optimal growth and current account balances, in a world of uncertainty. The theoretical parts result from interdisciplinary research between economics and applied mathematics. From the economic theory and the mathematics ...

100 enigmas de cifras y de lógica

Contiene 100 juegos para poner a prueba nuestros conocimientos y aprender más sobre números y lógica, agrupados por niveles de dificultad.Al final, se ofrecen todas soluciones. Se trata de propuestas para entretener, desafiar el ingenio y posibilitar un mayor conocimiento de la geometría.

Fractales y finanzas

una aproximación matemática a los mercados: arriesgar, perder y ganar

El matemático de origen polaco Benoît Mandelbrot es considerado como el «padre de la geometría fractal». Los fractales #estructuras geométricas de diversos niveles de tamaño, cada una de los cuales repite a pequeña escala la estructura total# son idóneos para mensurar la rugosidad de la ...

Microfoundations of financial economics

an introduction to general equilibrium asset pricing

This textbook takes the reader from the level of microeconomics principles through to modern asset pricing theory. Yvan Lengwiler elegantly links together issues that have in the past been the territory of general economic theorists on the one hand, and financial economists on the other ...

Introducción a la investigación de operaciones

A la vez que se construye sobre las fortalezas clásicas de las ediciones anteriores, la 8ª edición añade cobertura sustancial de los casos recientes que se han dado en la práctica de la investigación de operaciones. En esta nueva edición se incluye una clara y ...

Tools for computational finance

"This book is very easy to read and one can gain a quick snapshot of computational issues arising in financial mathematics. Researchers or students of the mathematical sciences with an interest in finance will find this book a very helpful and gentle guide to the ...

Fixed income mathematics

analytical and statistical techniques

Frank J. Fabozzi is the world's most well-known and influential author and editor of books on fixed income securities and investments. This work is the investment industry's most comprehensive, easy-to-understand reference on the mathematics of fixed income securities. It is newly revised and ...

Fundamental papers in Wavelet Theory

This book traces the prehistory and initial development of wavelet theory, a discipline that has had a profound impact on mathematics, physics, and engineering. Interchanges between these fields during the last fifteen years have led to a number of advances in applications such as image ...

Active credit portfolio management

a practical guide to credit risk management strategies

The introduction of the euro in 1999 marked the starting point of the development of a very liquid and heterogeneous EUR credit market, which exceeds EUR 350 bn in respect to outstanding corporate bonds. Against this background, credit risk trading and credit portfolio management gained ...

Introduction to stochastic calculus for finance

a new didactic approach

The large number of already available textbooks on stochastic calculus with specific applications to finance requires a justification for another contribution to this subject. The justification is mainly pedagogical. These lecture notes start with an elementary approach to stochastic calculus due to Follmer, who showed ...

Competitive failures in insurance markets

theory and policy implications

Leading international economists offer new insights on recent developments in the economic analysis of the limits of insurability, with particular attention of adverse selection and moral hazard. Risk sharing is a cornerstone of modern economies. It is valuable to risk-averse consumers and essential for investment ...

La sonrisa de Pitágoras

matemáticas para diletantes

Ante el recelo que tradicionalmente suscitan las matemáticas y la habitual acusación de que no sirven de mucho en la vida cotidiana, el autor ofrece una explicación muy amena y rigurosa del mundo de los números, su historia y sus innumerables aplicaciones prácticas. Tal como ...

Combinatorial auctions

A synthesis of theoretical and practical research on combinatorial auctions from the perspectives of economics, operations research, and computer science. The study of combinatorial auctions - auctions in which bidders can bid on combinations of items or packages - draws on the disciplines of economics, operations research ...

Designing economic mechanisms

A mechanism is a mathematical structure that models institutions through which economic activity is guided and coordinated. There are many such institutions; markets are the most familiar ones. Lawmakers, administrators and officers of private companies create institutions in order to achieve desired goals. They seek ...

Ascenso infinito

breve historia de las matemáticas

Partiendo de los diez avances más importantes en este campo a lo largo de la historia, desde Pitágoras, David Berlinsky nos revela una serie de fascinantes personajes y de ideas que sitúan las matemáticas en su justo lugar: estas constituyen el idioma universal por excelencia ...

Cálculo científico con MATLAB y Octave

Este libro de texto es una introducción al Cálculo Científico, que ilustra varios métodos numéricos para la solución con computador de ciertas clases de problemas matemáticos. Los autores muestran cómo calcular los ceros o las integrales de funciones continuas, resolver sistemas lineales, aproximar funciones por ...