Subject is the description of unvariate and multivariate business cycle stylized facts. A spectral analysis method (Maximum Entropy spectral estimation) novel in the analysis of economic time series is described and utilized. The method turns out to be superior to widely used time domain methods and the "classical" spectral estimate, the periodogram. The results for eleven OECD countries confirm and extend the basic set of stylized facts of traditional business cycle theory. The changing characteristics of the business cycle are analyzed by comparing the cyclical structure for the postwar and the prewar period. The results show that business cycle is mainly due to investment fluctuations.

Fundamentals of Applied Econometrics is designed for an applied, undergraduate econometrics course providing students with an understanding of the most fundamental econometric ideas and tools. The text serves both the student whose interest is in understanding how one can use sample data to illuminate economic theory and the student who wants and needs a solid intellectual foundation on which to build practical experiential expertise. Divided into two parts, the first half provides a thorough undergraduate-level treatment of multiple regressions including an extensive statistics review with integrated, hands-on Acting Learning Exercises so students learn by doing. The second half of the book covers a number of advanced topics: panel data modeling, time series analysis, binary-choice modeling, and an introduction to GMM. This latter portion of the book is very suitable for a more advanced course: a second-term undergraduate course, a Master's level course, or as a companion reading for a Doctoral level course.

Population aging raises a number of issues regarding the optimality of public debt policy and the systems of public pension provisions that are in use in developed countries. The studies in this book address these questions using computable general equilibrium models. They give illuminating insights and new empirical estimates of future prospects of pay-as-you-go pension schemes in the "big seven" OECD countries, the possible distortions introduced by the pension systems in four large European economies, the effects of lifetime uncertainty in analyzing a potential reform of the Dutch pension system, effects of increasing international mobility of financial capital to pension policies, and public debt reduction policies in relation to possible adverse effects of taxation on wage formation and unemployment.

This book was born out of a five-years research at Sonderforschungsbe reich 303 by the Deutsche Forschungsgemeinschaft (DFG) at Rheinische Friedrich-Wilhelms-Universitiit Bonn and was approved as my doctoral thesis by the Rechts-und Staatswissenschaftliche Fakultiit in December 1994. It was my former colleague Wolfgang Peters who had drawn my atten tion to overlapping-generations models and to problems of intergenerational efficiency and distribution. The subtle connection between the latter two has been fascinating me from the very beginning: redistribution of the results of free trade can become necessary from the point of view of efficiency, although no externalities hamper the development of an economy. In spite of being a matured part of economics, neoclassical growth theory had left many questions unsolved, some of them even unrecognized by a large part of our profession. I took up the challenge to contribute to the investigation of some of these thorny problems. One of these issues is the often quoted idea of the inter generational con tract. Although intergenerational transfers can improve intertemporal effi ciency, the design of pension schemes to achieve an improvement of well-being of some generations without hurting that of any other, is not an easy task in an economy with flexible prices. Quite frequently, only interest rate and growth rate are taken into account when deciding on whether a generation wins or looses."

As perhaps the world's most economically dynamic region, the Asia-Pacific is generating increasing attention from academic, business, and policymaking circles alike. At a time when the area is projected to continue its unprecedented economic growth well into the 21st century, it is ironic that the Asia-Pacific regional institutional framework is incommensurate with developments in other parts of the world. The most ambitious attempt at regime creation in this region began in 1989 with the formation of the Asia Pacific Economic Cooperation forum (APEC). "Institutionalizing the Asia-Pacific" provides a novel theoretical approach to examine the interplay of economic, political, and security factors in APEC's evolution. It focuses on the likelihood for APEC to become smoothly "nested" within the World Trade Organization and considers how subregional groupings in the Asia-Pacific might in turn become nested within APEC. The essays draw on the examples of the OECD and the EU to explore APEC's future prospects for fostering economic liberalization in the Asia-Pacific and across the globe. "Institutionalizing the Asia-Pacific" offers the first rigorous and systematic theoretical and empirical examination of the APEC forum by a multinational, interdisciplinary group of scholars.

1.1 Economic issues to be analyzed This research examines two elements of the Swiss market for electricity: the residential electricity demand by time-of-use and the cost structure of municipal electricity distribution utilities. The empirical results of demand and cost elasticities allow the investigation of interesting economic and policy issues such as the desirability of a widespread introduction of time-of-use pricing for residential customers, the desirability of side-by-side competition in the distribution of electricity and, more generally, the economic effects of a reduction of the load factor and of mergers between electric distribution utilities on costs. Desirability of time-of-use pricing In the last decade there has been an intensifying debate in Switzerland about efficacy of electricity rate reforms in order to improve the efficiency of electricity use. This debate was initiated by two main events. First, there was an important growth of electricity consumption. Second, the Chernobyl accident in 1986 aroused widespread public concern about the problems associated with nuclear power and waste disposal. As a result, in 1991 the Swiss voted, in a referendum, a lO-year moratorium on the 2 construction of new nuclear power plants. Moreover, plans to expand production of hydroelectric power (construction of new dams or expanding existing ones) have been stiffly opposed by environmental groups. These developments have consistently curtailed potential expansion of domestic electricity supply. As a result, Switzerland during the winter has to import electricity from foreign countries.

The present book was accepted as a dissertation at the Humboldt Universitat zu Berlin in summer 1996. I am very much obliged to thank my advisor, Professor Wolfgang Hardie, for the continuous, always inspiring support and for opening me the world of non parametric statistics. Without him I probably would have worked on a different, less exciting topic and this book would not exist. Also, I would like to thank my second advisor, Professor Helmut Liitkepohl, for his excellent introduction to time series analysis and for always helpful comments on my work. This work was financially supported by the Deutsche Forschungsgemein schaft, in the first stage while I was a member of the Graduiertenkolleg "Ap plied Microeconomics," and later when I came to the Sonderforschungsbereich 373. For an interestingly widespread academic surrounding I want to thank the members of the Graduiertenkolleg and the Sonderforschungsbereich, es pecially Stefan Sperlich and Axel Werwatz. For the use of XploRe and many other issues I received substantial help from my colleagues Sigbert Klinke, Thomas Kotter, Marlene Miiller and Swetlana Schmelzer. Concerning many central topics of this dissertation, helpful and improving comments were given by Jorg Breitung, Helmut Herwartz, RolfTschernig and Lijian Yang, who also revised most parts of the manuscript. I have much reason to thank them for their help. Of course, all remaining errors are mine. Berlin, July 1997 CHRISTIAN M 0 HAFNER Contents Preface . . . . . IX List of Tables ."

Valuing and Investing in Equities: CROCI: Cash Return on Capital Investment develops a common-sense framework for value investors. By distinguishing investors from speculators, it acknowledges the variety of styles and goals in the financial markets. After explaining the intuition behind due diligence, portfolio construction, and stock picking, it shows the reader how to perform these steps and how to evaluate their results. Francesco Curto illuminates the costs and opportunities afforded by valuation strategies, inflation, and bubbles, emphasizing their effects on each other within the CROCI framework. Balancing analytics with an engaging clarity, the book neatly describes a comprehensive, time-tested approach to investing. Annual returns from this investment approach demand everyone's attention.

These twenty papers were selected by the author, who received the Nobel Prize in 1983. The book includes a major introduction by Werner Hildenbrand, who assesses Professor Debreu's contribution to economic theory and explains the part played by these papers in the development of the subject.

We live in a time of economic virtualism, whereby our lives are made to conform to the virtual reality of economic thought. Globalization, transnational capitalism, structural adjustment programmes and the decay of welfare are all signs of the growing power of economics, one of the most potent forces of recent decades. In the last thirty years, economics has ceased to be just an academic discipline concerned with the study of economy, and has come to be the only legitimate way to think about all aspects of society and how we order our lives. Economic models are no longer measured against the world they seek to describe, but instead the world is measured against them, found wanting and made to conform.This profound and dangerous change in the power of abstract economics to shape the lives of people in rich and poor countries alike is the subject of this interdisciplinary study. Contributors show how economics has come to portray a virtual reality -- a world that seems real but is merely a reflection of a neo-classical model -- and how governments, the World Bank and the IMF combine to stamp the world with a virtual image that condemns as irrational our local social and cultural arrangements. Further, it is argued that virtualism represents the worrying emergence of new forms of abstraction in the political economy, of which economics is just one example.

1. 1 Introduction In economics, one often observes time series that exhibit different patterns of qualitative behavior, both regular and irregular, symmetric and asymmetric. There exist two different perspectives to explain this kind of behavior within the framework of a dynamical model. The traditional belief is that the time evolution of the series can be explained by a linear dynamic model that is exogenously disturbed by a stochastic process. In that case, the observed irregular behavior is explained by the influence of external random shocks which do not necessarily have an economic reason. A more recent theory has evolved in economics that attributes the patterns of change in economic time series to an underlying nonlinear structure, which means that fluctua tions can as well be caused endogenously by the influence of market forces, preference relations, or technological progress. One of the main reasons why nonlinear dynamic models are so interesting to economists is that they are able to produce a great variety of possible dynamic outcomes - from regular predictable behavior to the most complex irregular behavior - rich enough to meet the economists' objectives of modeling. The traditional linear models can only capture a limited number of possi ble dynamic phenomena, which are basically convergence to an equilibrium point, steady oscillations, and unbounded divergence. In any case, for a lin ear system one can write down exactly the solutions to a set of differential or difference equations and classify them."

This book provides a self-contained account of periodic models for seasonally observed economic time series with stochastic trends. Two key concepts are periodic integration and periodic cointegration. Periodic integration implies that a seasonally varying differencing filter is required to remove a stochastic trend. Periodic cointegration amounts to allowing cointegration paort-term adjustment parameters to vary with the season. The emphasis is on useful econrameters and shometric models that explicitly describe seasonal variation and can reasonably be interpreted in terms of economic behaviour. The analysis considers econometric theory, Monte Carlo simulation, and forecasting, and it is illustrated with numerous empirical time series. A key feature of the proposed models is that changing seasonal fluctuations depend on the trend and business cycle fluctuations. In the case of such dependence, it is shown that seasonal adjustment leads to inappropriate results.
About the Series
Advanced Texts in Econometrics is a distinguished and rapidly expanding series in which leading econometricians assess recent developments in such areas as stochastic probability, panel and time series data analysis, modeling, and cointegration. In both hardback and affordable paperback, each volume explains the nature and applicability of a topic in greater depth than possible in introductory textbooks or single journal articles. Each definitive work is formatted to be as accessible and convenient for those who are not familiar with the detailed primary literature.

Migration, commuting, and tourism are prominent phenomena demonstrating the political and economic relevance of the spatial choice behavior of households. The identification of the determinants and effects of the households' location choice is necessary for both entrepreneurial and policy planners who attempt to predict (or regulate) the future demand for location-specific commodities, such as infrastructure, land, or housing, and the supply of labor. Microeconomic studies of the spatial behavior of individuals have typically focused upon the demand for a single, homogeneous, yet location-specific com 2 modity (such as land or housing ) or their supply of labor3 and investigated the formation of location-specific prices and wages in the presence of transportation and migration costs or analyzed the individual-and location-specific character istics triggering spatial rather than quantitative or temporal adjustments. In contrast to many theoretical analyses, empirical studies of the causes or con sequences of individual demand for location-specific commodities have often considered several "brands" of a heterogeneous good that are offered at various locations, are perfect substitutes, and may be produced by varying production 4 technologies. lCf. Alonso (1964) 2Cf. Muth (1969). 3Cf. Sjaastad (1962) and Greenwood (1975)."

This book addresses one of the major theoretical issues that underlies, implicitly or explicitly, some recurrent controversies in macroeconomics - namely, whether a competitive monetary economy has built-in mechanisms that are strong enough to remove excess demands and supplies on all markets, through an automatic adjustment of the price system. Jean-Michel Grandmont sheds light on this complex subject by using the analytical techniques of general equilibrium theory alongside the methods of monetary analysis. The book warns against the indiscriminate use of the rational expectations hypothesis when approaching this topic, and conversely stresses the common-sense observation that short-run learning processes are among the most important characteristics of economic agents. Grandmont argues that such processes are deserving of careful theoretical study, and the result is a clear and rigorous analysis of all the issues involved.

This volume includes papers delivered at the Fourth World Congress of the Econometric Society. It will interest economic theorists and econometricians working in universities, government, and business and financial institutions.

This study is a revised version of my doctoral dissertation at the Economics Department of the University of Munich. I want to take the opportunity to express my gratitude to some people who have helped me in my work. My greatest thanks go to the supervisor of this dissertation, Professor Claude Billinger. Bis ideas have formed the basis of my work. Be permanently sup ported it with a host of ideas, criticism and encouragement. Furthermore, he provided a stimulating research environment at SEMECON. This study would not have been possible in this form without the help of my present and former colleagues at SEMECON. I am indebted to Rudolf Kohne-Volland, Monika Sebold-Bender and Ulrich Woitek for providing soft ware and guidance for the data analysis. Discussions with them and with Thilo Weser have helped me to take many hurdles, particularly in the early stages of the project. My sincere thanks go to them all. I had the opportunity to present a former version of my growth model at a workshop of Professor Klaus Zimmermann. I want to thank all the parti cipants for their helpful comments. I also acknowledge critical and constructive comments from an anonymous referee. Table of Contents Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 Part I. Methodology 1. Importance of Stylized Facts. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 1.1 Limitations of statistical testing. . . . . . . . . . . . . . . . . . . . . . . . . . 9 1.2 Evaluating economic models. . . . . . . . . . . . . . . . . . .. . . . 11 . . . . . . 2. Further Methodological Issues . . . . . . . . . . . . . . . . . .. . . . 13 . . . . . ."

This new and exciting book offers a fresh approach to quantitative finance and utilises novel features, including stereoscopic images which permit 3D visualisation of complex subjects without the need for additional tools. Offering an integrated approach to the subject, A First Course in Quantitative Finance introduces students to the architecture of complete financial markets before exploring the concepts and models of modern portfolio theory, derivative pricing and fixed income products in both complete and incomplete market settings. Subjects are organised throughout in a way that encourages a gradual and parallel learning process of both the economic concepts and their mathematical descriptions, framed by additional perspectives from classical utility theory, financial economics and behavioural finance. Suitable for postgraduate students studying courses in quantitative finance, financial engineering and financial econometrics as part of an economics, finance, econometric or mathematics program, this book contains all necessary theoretical and mathematical concepts and numerical methods, as well as the necessary programming code for porting algorithms onto a computer.

This book brings together a wide range of topics and perspectives in the growing field of Classification and related methods of Exploratory and Multivariate Data Analysis. It gives a broad view on the state ofthe art, useful for those in the scientific community who gather data and seek tools for analyzing and interpreting large sets of data. As it presents a wide field of applications, this book is not only of interest for data analysts, mathematicians and statisticians, but also for scientists from many areas and disciplines concerned with real data, e. g. , medicine, biology, astronomy, image analysis, pattern recognition, social sciences, psychology, marketing, etc. It contains 79 invited or selected and refereed papers presented during the Fourth Bi- ennial Conference of the International Federation of Classification Societies (IFCS'93) held in Paris. Previous conferences were held at Aachen (Germany), Charlottesville (USA) and Edinburgh (U. K. ). The conference at Paris emerged from the elose coop- eration between the eight members of the IFCS: British Classification Society (BCS), Classification Society of North America (CSNA), Gesellschaft fur Klassifikation (GfKl), J apanese Classification Society (J CS), Jugoslovenska Sekcija za Klasifikacije (JSK), Societe Francophone de Classification (SFC), Societa. Italiana di Statistica (SIS), Vereniging voor Ordinatie en Classificatie (VOC), and was organized by INRIA ("Institut National de Recherche en Informatique et en Automatique"), Rocquencourt and the "Ecole Nationale Superieure des Telecommuni- cations," Paris.

Many models in this volume can be used in solving portfolio problems, in assessing forecasts, in understanding the possible effects of shocks and disturbances.

The papers collected in this volume are contributions to T.I.Tech./K.E.S. Conference on Nonlinear and Convex Analysis in Economic Theory, which was held at Keio University, July 2-4, 1993. The conference was organized by Tokyo Institute of Technology (T. I. Tech.) and the Keio Economic Society (K. E. S.) , and supported by Nihon Keizai Shimbun Inc .. A lot of economic problems can be formulated as constrained optimiza tions and equilibrations of their solutions. Nonlinear-convex analysis has been supplying economists with indispensable mathematical machineries for these problems arising in economic theory. Conversely, mathematicians working in this discipline of analysis have been stimulated by various mathematical difficulties raised by economic the ories. Although our special emphasis was laid upon "nonlinearity" and "con vexity" in relation with economic theories, we also incorporated stochastic aspects of financial economics in our project taking account of the remark able rapid growth of this discipline during the last decade. The conference was designed to bring together those mathematicians who were seriously interested in getting new challenging stimuli from economic theories with those economists who were seeking for effective mathematical weapons for their researches. Thirty invited talks (six of them were plenary talks) given at the conf- ence were roughly classified under the following six headings : 1) Nonlinear Dynamical Systems and Business Fluctuations, . 2) Fixed Point Theory, 3) Convex Analysis and Optimization, 4) Eigenvalue of Positive Operators, 5) Stochastic Analysis and Financial Market, 6) General Equilibrium Analysis.

As large physical capital stock projects need long periods to be built, a time-to-build specification is incorporated in factor demand models. Time-to-build and adjustment costs dynamics are identified since by the first moving average dynamics, whereas by the latter autoregressive dynamics are induced. Empirical evidence for time-to-build is obtained from data from the Dutch construction industry and by the estimation result from the manufacturing industry of six OECD countries.

This book presents a review of recent developments in the theory and construction of index numbers using the stochastic approach, demonstrating the versatility of this approach in handling various index number problems within a single conceptual framework. It also contains a brief, but complete, review of the existing approaches to index numbers with illustrative numerical examples.;The stochastic approach considers the index number problem as a signal extraction problem. The strength and reliability of the signal extracted from price and quantity changes for different commodities depends on the messages received and the information content of the messages. The most important applications of the new approach are to be found in the context of measuring rate of inflation and fixed and chain base index numbers for temporal comparisons and for spatial inter-country comparisons - the latter generally require special index number formulae that result in transitive and base invariant comparisons.

1. 1 Integrating results The empirical study of macroeconomic time series is interesting. It is also difficult and not immediately rewarding. Many statistical and economic issues are involved. The main problems is that these issues are so interrelated that it does not seem sensible to address them one at a time. As soon as one sets about the making of a model of macroeconomic time series one has to choose which problems one will try to tackle oneself and which problems one will leave unresolved or to be solved by others. From a theoretic point of view it can be fruitful to concentrate oneself on only one problem. If one follows this strategy in empirical application one runs a serious risk of making a seemingly interesting model, that is just a corollary of some important mistake in the handling of other problems. Two well known examples of statistical artifacts are the finding of Kuznets "pseudo-waves" of about 20 years in economic activity (Sargent (1979, p. 248)) and the "spurious regression" of macroeconomic time series described in Granger and Newbold (1986, 6. 4). The easiest way to get away with possible mistakes is to admit they may be there in the first place, but that time constraints and unfamiliarity with the solution do not allow the researcher to do something about them. This can be a viable argument."

This textbook on the basics of option pricing is accessible to readers with limited mathematical training. It is for both professional traders and undergraduates studying the basics of finance. Assuming no prior knowledge of probability, Sheldon M. Ross offers clear, simple explanations of arbitrage, the Black-Scholes option pricing formula, and other topics such as utility functions, optimal portfolio selections, and the capital assets pricing model. Among the many new features of this third edition are new chapters on Brownian motion and geometric Brownian motion, stochastic order relations, and stochastic dynamic programming, along with expanded sets of exercises and references for all the chapters.

As a new type of technique, simplicial methods have yielded extremely important contributions toward solutions of a system of nonlinear equations. Theoretical investigations and numerical tests have shown that the performance of simplicial methods depends critically on the triangulations underlying them. This monograph describes some recent developments in triangulations and simplicial methods. It includes the D1-triangulation and its applications to simplicial methods. As a result, efficiency of simplicial methods has been improved significantly. Thus more effective simplicial methods have been developed.