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This book provides thorough and highly accessible mathematical coverage of the fundamental topics of intermediate investments, including fixed-income securities, capital asset pricing theory, derivatives, and innovations in optimal portfolio growth and valuation of multi-period risky investments. This text presents essential ideas of investments and their applications, offering students the most comprehensive treatment of the subject available.
From cell phones to Web portals, advances in information and communications technology have thrust society into an information age that is far-reaching, fast-moving, increasingly complex, and yet essential to modern life. Now, renowned scholar and author David Luenberger has produced Information Science, a text that distills and explains the most important concepts and insights at the core of this ongoing revolution. The book represents the material used in a widely acclaimed course offered at Stanford University. Drawing concepts from each of the constituent subfields that collectively comprise information science, Luenberger builds his book around the five "E's" of information: Entropy, Ec...
To study these principles is to learn how English text, music, and pictures can be compressed, how it is possible to construct a digital signature that cannot simply be copied, how beautiful photographs can be sent from distant planets with a tiny battery, how communication networks expand, and how producers of information products can make a profit under difficult market conditions. The book contains vivid examples, illustrations, exercises, and points of historic interest, all of which bring to life the analytic methods presented: presents a unified approach to the field of information science; emphasizes basic principles; includes a wide range of examples and applications; helps students develop important new skills; and suggests exercises with solutions in an instructor's manual. Professors: A supplementary "Solutions Manual" is available for this book. It is restricted to teachers using the text in courses
Engineers must make decisions regarding the distribution of expensive resources in a manner that will be economically beneficial. This problem can be realistically formulated and logically analyzed with optimization theory. This book shows engineers how to use optimization theory to solve complex problems. Unifies the large field of optimization with a few geometric principles. Covers functional analysis with a minimum of mathematics. Contains problems that relate to the applications in the book.
This third edition of the classic textbook in Optimization has been fully revised and updated. It comprehensively covers modern theoretical insights in this crucial computing area, and will be required reading for analysts and operations researchers in a variety of fields. The book connects the purely analytical character of an optimization problem, and the behavior of algorithms used to solve it. Now, the third edition has been completely updated with recent Optimization Methods. The book also has a new co-author, Yinyu Ye of California’s Stanford University, who has written lots of extra material including some on Interior Point Methods.
This volume provides the definitive treatment of fortune's formula or the Kelly capital growth criterion as it is often called. The strategy is to maximize long run wealth of the investor by maximizing the period by period expected utility of wealth with a logarithmic utility function. Mathematical theorems show that only the log utility function maximizes asymptotic long run wealth and minimizes the expected time to arbitrary large goals. In general, the strategy is risky in the short term but as the number of bets increase, the Kelly bettor's wealth tends to be much larger than those with essentially different strategies. So most of the time, the Kelly bettor will have much more wealth tha...
Investment Science is designed for the core theoretical finance course in quantitative investment and for those individuals interested in the current state of development in the field -- what the essential ideas are, how they are represented, how they are represented, how they can be used inactual investment practice, and where the field might be headed in the future. The coverage is similar to more intuitive texts but goes much farther in terms of mathematical content, featuring varying levels of mathematical sophistication throughout. The emphasis of the text is on the fundamentalprinciples and how they can be mastered and transformed into solutions of important and interesting investment problems. End-of the chapter exercises are also included, and unlike most books in the field, Investment Science does not concentrate on institutional detail, but instead focuses onmethodology.
This publication has been prepared by staff members of the World Bank and selected guest contributors. It sets out a framework to study subnational governments as borrowers and the range of credit markets in which they may operate. It also contains a number of case studies which detail the recent experience of 18 countries in developing markets for subnational borrowers., and offer insights into lessons to be drawn on fostering responsible credit market access within a framework of fiscal and financial discipline. Other issues discussed include: the issuing of municipal debt and its characteristics, and the role of macroeconomic conditions and market development in the success or failure of those borrowings.
Optimal control methods are used to determine optimal ways to control a dynamic system. The theoretical work in this field serves as a foundation for the book, which the authors have applied to business management problems developed from their research and classroom instruction. Sethi and Thompson have provided management science and economics communities with a thoroughly revised edition of their classic text on Optimal Control Theory. The new edition has been completely refined with careful attention to the text and graphic material presentation. Chapters cover a range of topics including finance, production and inventory problems, marketing problems, machine maintenance and replacement, problems of optimal consumption of natural resources, and applications of control theory to economics. The book contains new results that were not available when the first edition was published, as well as an expansion of the material on stochastic optimal control theory.
"Nobel Prize-winning financial economist William Sharpe shows that investment professionals cannot make good portfolio choices unless they understand the determinants of asset prices." -- Provided by publisher.