Description

Theory and application of a variety of mathematical techniques in economics are presented in this volume. Topics discussed include: martingale methods, stochastic processes, optimal stopping, the modeling of uncertainty using a Wiener process, Itô's Lemma as a tool of stochastic calculus, and basic facts about stochastic differential equations. The notion of stochastic ability and the methods of stochastic control are discussed, and their use in economic theory and finance is illustrated with numerous applications. The applications covered include: futures, pricing, job search, stochastic capital theory, stochastic economic growth, the rational expectations hypothesis, a stochastic macroeconomic model, competitive firm under price uncertainty, the Black-Scholes option pricing theory, optimum consumption and portfolio rules, demand for index bonds, term structure of interest rates, the market risk adjustment in project valuation, demand for cash balances and an asset pricing model.

Table of Contents

Foreword (W.A. Brock). Results from Probability. Stochastic Calculus. Applications in Economics. Applications in Finance. Selected Bibliography.

Details

No. of pages:
303
Language:
English
Copyright:
© 1982
Published:
Imprint:
North Holland
eBook ISBN:
9780080517780
Print ISBN:
9780444862013
Print ISBN:
9781493302604

About the authors

A.G. Malliaris

Affiliations and Expertise

with a Foreword and Contributions by

Reviews

@from:R. Kihlstrom @qu:This book will almost certainly become a basic reference for academic researchers in finance. It will also find wide use as a textbook for Ph.D. students in finance and economics. @source:Mathematical Reviews