Nonlinear Time Series Analysis of Economic and Financial Data

Nonlinear Time Series Analysis of Economic and Financial Data provides an examination of the flourishing interest that has developed in this area over the past decade. The constant theme throughout this work is that standard linear time series tools leave

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Dynamic Modeling and Econometrics in Economics and Finance VOLUME 1

Series Editors Stefan Mittnik, University ofKiel, Germany Willi Semmler, University ofBielefeld, Germany and New School for Social Research, USA

NON LINEAR TIME SERIES ANALYSIS OF ECONOMIC ANO FINANCIAL DATA

edited by

Philip Rothman East Carolina University

....

"

SPRINGER SCIENCE+BUSINESS MEDIA, LLC

Library of Congress Cataloging-in-Publication Data Nonlinear time series analysis of economic and fmancial data / edited by Philip Rothman. p. cm. - (Dynamic modeling and econometrics in economics and finance ; v. 1) Includes bibliographical references and index. ISBN 978-1-46l3-7334-6 ISBN 978-1-4615-5129-4 (eBook) DOI 10.1007/978-1-4615-5129-4

1. Econometric models. 2. Finance-Econometric models. 3. Time-series analysis. 4. Chaotic behavior in systems. 5. Nonlinear systems. 1. Rothman, Philip. II. Series. HB141.N658 1999 98-45191 330' .01 '5195-dc21 CIP Copyright IC 1999 by Springer Science+Business Media N ew York Origina11y published by Kluwer Academic Publishers, New York in 1999 Softcover reprint of the hardcover 1st edition 1999 AII rights reserved. No part of this publication may be reproduced, stored in a retrieval system or transmitted in any form or by any means, mechanical, photo-copying, recording, or otherwise, without the prior written permission of the publisher, Springer Science+Business Media, LLC.

Printed on acid-free paper.

This book is dedicated to the memory of my father. Murray Rothman, who would have received a great deal ofpleasure in seeing its publication. Philip Rothman

Contents

Contributing Authors

IX

Introduction Philip Rothman

Xl

1 BUSINESS CYCLE TURNING POINTS: TWO EMPIRICAL BUSINESS CYCLE MODEL APPROACHES Andrew J. Filardo and Stephen F. Gordon 2 A MARKOV SWITCHING COOKBOOK Bruce Mizrach and James Watkins

33

3 A REANALYSIS OF THE SPECTRAL PROPERTIES OF SOME ECONOMIC AND FINANCIAL TIME SERIES James B. Ramsey and David J Thomson

45

4 NONLINEAR ECONOMETRIC MODELLING: A SELECTIVE REVIEW Norman R. Swanson and Philip Hans Franses

87

5 UNIT-ROOT TESTS AND EXCESS RETURNS Marie-Josee Godbout and Simon van Norden

111

6 ON THE INHERENT NONLINEARITY OF FREQUENCY DEPENDENT TIME SERIES RELATIONSHIPS Hui Boon Tan and Richard Ashley

129

7 STATIONARITY TESTS WIlli MULTIPLE ENDOGENIZED BREAKS Junsoo Lee

143

Vlll

NONLINEAR TIME SERIES ANALYSIS

8 NONLINEAR EVOLUTION IN UK STOCK RETURNS AND VOLUME Chris Brooks, Melvin J. Hinich, and Michael J. Smith

165

9 NONLINEAR ADJUSTMENT TOWARDS LONG-RUN MONEY DEMAND

Panos Michael, A. Robert Nobay, and David A. Peel

179

10

ASYMMETRIC NONLINEAR SMOOTH TRANSITION GARCH MODELS

Heather MAnderson, Kiseok Nam, and Farshid Vahid

191

11 TESTING THE PRESENT VALUE HYPOTHESIS FROM A VECTOR AUTOREGRESSION WITH STOCHASTIC REGIME SWITCHING

John Drifjill and Martin Sola

209

12 BUSINESS CYCLE DYNAMICS: PREDICTING TRANSITIONS WITH MACROVARlABLES Morten 0. Ravn and Martin Sola

231

13 SEARCHING FOR THE SOURCES OF ARCH BEHAVIOR: TESTING THE MIXTURE OF DISTRIBUTIONS MODEL