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Author :
Publisher :
ISBN 13 :
Total Pages : 37 pages
Book Rating : 4.:/5 (113 download)
Download or read book Game-theoretic Derivation of Upper Hedging Prices of Multivariate Contingent Claims and Submodularity written by and published by . This book was released on 2018 with total page 37 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Alexander Chigodaev
Publisher :
ISBN 13 :
Total Pages : 30 pages
Book Rating : 4.:/5 (13 download)
Download or read book Recursive Method for Guaranteed Valuation of Options in Deterministic Game Theoretic Approach written by Alexander Chigodaev and published by . This book was released on 2016 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt: We adapt a deterministic game theoretic framework in discrete time to super-hedge pricing contingent claims (CCs). The key aspect of this framework is that the worst-case scenario dictates the super-hedging price which protects counter-parties in financial contracts from insolvencies. A general application algorithm for super-hedge pricing of European CC portfolios with piecewise linear payoffs, based on linear programming, is offered for practical usage. Examples of path-dependent European CCs and portfolios of vanilla European CCs are presented to highlight important features of this pricing framework.
Author : Luiz Vitiello
Publisher :
ISBN 13 :
Total Pages : 18 pages
Book Rating : 4.:/5 (13 download)
Download or read book A Note on the Pricing of Multivariate Contingent Claims Under a Transformed-Gamma Distribution written by Luiz Vitiello and published by . This book was released on 2014 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt: We develop a framework for pricing multivariate European-style contingent claims in a discrete-time economy based on a multivariate transformed-gamma distribution. In our model, each transformed-gamma distributed underlying asset depends on two terms: a idiosyncratic term and a systematic term, where the latter is the same for all underlying assets and has a direct impact on their correlation structure. Given our distributional assumptions and the existence of a representative agent with a standard utility function, we apply equilibrium arguments and provide sufficient conditions for obtaining preference-free contingent claim pricing equations. We illustrate the applicability of our framework by providing examples of preference-free contingent claim pricing models. Multivariate pricing models are of particular interest when payoffs depend on two or more underlying assets, such as crack and crush spread options, options to exchange one asset for another, and options with a stochastic strike price in general.
Author : Niklas Ekvall
Publisher :
ISBN 13 :
Total Pages : 20 pages
Book Rating : 4.:/5 (186 download)
Download or read book A Lattice Approach for Pricing of Multivariate Contingent Claims written by Niklas Ekvall and published by . This book was released on 1993 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Vikranth Lokeshwar
Publisher :
ISBN 13 :
Total Pages : 30 pages
Book Rating : 4.:/5 (13 download)
Download or read book Neural Network for Pricing and Universal Static Hedging of Contingent Claims written by Vikranth Lokeshwar and published by . This book was released on 2019 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt: We present here a regress later based Monte Carlo approach that uses neural networks for pricing high-dimensional contingent claims. The choice of specific architecture of the neural networks used in the proposed algorithm provides for interpretability of the model, a feature that is often desirable in the financial context. Specifically, the interpretation leads us to demonstrate that any contingent claim -- possibly high dimensional and path-dependent -- under Markovian and no- arbitrage assumptions, can be semi-statically hedged using a portfolio of short maturity options. We show how the method can be used to obtain an upper and lower bound to the true price, where the lower bound is obtained by following a sub-optimal policy, while the upper bound by exploiting the dual formulation. Unlike other duality based upper bounds where one typically has to resort to nested simulation for constructing super-martingales, the martingales in the current approach come at no extra cost, without the need for any sub-simulations. We demonstrate through numerical examples the simplicity and efficiency of the method for both pricing and semi-static hedging of path-dependent options.
Author : Ilya Molchanov
Publisher : Springer Science & Business Media
ISBN 13 : 9781852338923
Total Pages : 508 pages
Book Rating : 4.3/5 (389 download)
Download or read book Theory of Random Sets written by Ilya Molchanov and published by Springer Science & Business Media. This book was released on 2005-05-11 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first systematic exposition of random sets theory since Matheron (1975), with full proofs, exhaustive bibliographies and literature notes Interdisciplinary connections and applications of random sets are emphasized throughout the book An extensive bibliography in the book is available on the Web at http://liinwww.ira.uka.de/bibliography/math/random.closed.sets.html, and is accompanied by a search engine
Author : Jorge Angeles
Publisher : Springer Science & Business Media
ISBN 13 : 3642162592
Total Pages : 364 pages
Book Rating : 4.6/5 (421 download)
Download or read book Brain, Body and Machine written by Jorge Angeles and published by Springer Science & Business Media. This book was released on 2010-10-01 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: The reader will find here papers on human-robot interaction as well as human safety algorithms; haptic interfaces; innovative instruments and algorithms for the sensing of motion and the identification of brain neoplasms; and, even a paper on a saxophone-playing robot.
Author : Glenn Shafer
Publisher : John Wiley & Sons
ISBN 13 : 1118547934
Total Pages : 480 pages
Book Rating : 4.1/5 (185 download)
Download or read book Game-Theoretic Foundations for Probability and Finance written by Glenn Shafer and published by John Wiley & Sons. This book was released on 2019-03-21 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: Game-theoretic probability and finance come of age Glenn Shafer and Vladimir Vovk’s Probability and Finance, published in 2001, showed that perfect-information games can be used to define mathematical probability. Based on fifteen years of further research, Game-Theoretic Foundations for Probability and Finance presents a mature view of the foundational role game theory can play. Its account of probability theory opens the way to new methods of prediction and testing and makes many statistical methods more transparent and widely usable. Its contributions to finance theory include purely game-theoretic accounts of Ito’s stochastic calculus, the capital asset pricing model, the equity premium, and portfolio theory. Game-Theoretic Foundations for Probability and Finance is a book of research. It is also a teaching resource. Each chapter is supplemented with carefully designed exercises and notes relating the new theory to its historical context. Praise from early readers “Ever since Kolmogorov's Grundbegriffe, the standard mathematical treatment of probability theory has been measure-theoretic. In this ground-breaking work, Shafer and Vovk give a game-theoretic foundation instead. While being just as rigorous, the game-theoretic approach allows for vast and useful generalizations of classical measure-theoretic results, while also giving rise to new, radical ideas for prediction, statistics and mathematical finance without stochastic assumptions. The authors set out their theory in great detail, resulting in what is definitely one of the most important books on the foundations of probability to have appeared in the last few decades.” – Peter Grünwald, CWI and University of Leiden “Shafer and Vovk have thoroughly re-written their 2001 book on the game-theoretic foundations for probability and for finance. They have included an account of the tremendous growth that has occurred since, in the game-theoretic and pathwise approaches to stochastic analysis and in their applications to continuous-time finance. This new book will undoubtedly spur a better understanding of the foundations of these very important fields, and we should all be grateful to its authors.” – Ioannis Karatzas, Columbia University
Author : Haresh Gurnani
Publisher : Springer Science & Business Media
ISBN 13 : 0857297783
Total Pages : 339 pages
Book Rating : 4.8/5 (572 download)
Download or read book Supply Chain Disruptions written by Haresh Gurnani and published by Springer Science & Business Media. This book was released on 2011-09-28 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the most critical issues facing supply chain managers in today’s globalized and highly uncertain business environments is how to deal proactively with disruptions that might affect the complicated supply networks characterizing modern enterprises. Supply Chain Disruptions: Theory and Practice of Managing Risk presents a state-of the-art perspective on this particular issue. Supply Chain Disruptions: Theory and Practice of Managing Risk demonstrates that effective management of supply disruptions necessitates both strategic and tactical measures – the former involving optimal design of supply networks; the latter involving inventory, finance and demand management. It shows that managers ought to use all available levers at their disposal throughout the supply network – like sourcing and pricing strategies, providing financial subsidies, encouraging information sharing and incentive alignment between supply chain partners – in order to tackle supply disruptions. The editors combine up-to-date academic research with the latest operational risk management practices used in industry to demonstrate how theoreticians and practitioners can learn from each other. As well as providing a wealth of knowledge for students and professors who are interested in pursuing research or teaching courses in the rapidly growing area of supply chain risk management, Supply Chain Disruptions: Theory and Practice of Managing Risk also acts as a ready reference for practitioners who are interested in understanding the theoretical underpinnings of effective supply disruption management techniques.
Author : David Simchi-Levi
Publisher : Springer Science & Business Media
ISBN 13 : 1402079532
Total Pages : 818 pages
Book Rating : 4.4/5 (2 download)
Download or read book Handbook of Quantitative Supply Chain Analysis written by David Simchi-Levi and published by Springer Science & Business Media. This book was released on 2004-05-31 with total page 818 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook is a comprehensive research reference that is essential for anyone interested in conducting research in supply chain. Unique features include: -A focus on the intersection of quantitative supply chain analysis and E-Business, -Unlike other edited volumes in the supply chain area, this is a handbook rather than a collection of research papers. Each chapter was written by one or more leading researchers in the area. These authors were invited on the basis of their scholarly expertise and unique insights in a particular sub-area, -As much attention is given to looking back as to looking forward. Most chapters discuss at length future research needs and research directions from both theoretical and practical perspectives, -Most chapters describe in detail the quantitative models used for analysis and the theoretical underpinnings; many examples and case studies are provided to demonstrate how the models and the theoretical insights are relevant to real situations, -Coverage of most state-of-the-art business practices in supply chain management.
Author : Ashish Arora
Publisher : MIT Press
ISBN 13 : 0262261367
Total Pages : 351 pages
Book Rating : 4.2/5 (622 download)
Download or read book Markets for Technology written by Ashish Arora and published by MIT Press. This book was released on 2004-01-30 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: The past two decades have seen a gradual but noticeable change in the economic organization of innovative activity. Most firms used to integrate research and development with activities such as production, marketing, and distribution. Today firms are forming joint ventures, research and development alliances, licensing deals, and a variety of other outsourcing arrangements with universities, technology-based start-ups, and other established firms. In many industries, a division of innovative labor is emerging, with a substantial increase in the licensing of existing and prospective technologies. In short, technology and knowledge are becoming definable and tradable commodities. Although researchers have made significant advances in understanding the determinants and consequences of innovation, until recently they have paid little attention to how innovation functions as an economic process. This book examines the nature and workings of markets for intermediate technological inputs. It looks first at how industry structure, the nature of knowledge, and intellectual property rights facilitate the development of technology markets. It then examines the impacts of these markets on firm boundaries, the division of labor within the economy, industry structure, and economic growth. Finally, it examines the implications of this framework for public policy and corporate strategy. Combining theoretical perspectives from economics and management with empirical analysis, the book also draws on historical evidence and case studies to flesh out its research results.
Author : D. Denneberg
Publisher : Springer Science & Business Media
ISBN 13 : 9401724342
Total Pages : 182 pages
Book Rating : 4.4/5 (17 download)
Download or read book Non-Additive Measure and Integral written by D. Denneberg and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: Non-Additive Measure and Integral is the first systematic approach to the subject. Much of the additive theory (convergence theorems, Lebesgue spaces, representation theorems) is generalized, at least for submodular measures which are characterized by having a subadditive integral. The theory is of interest for applications to economic decision theory (decisions under risk and uncertainty), to statistics (including belief functions, fuzzy measures) to cooperative game theory, artificial intelligence, insurance, etc. Non-Additive Measure and Integral collects the results of scattered and often isolated approaches to non-additive measures and their integrals which originate in pure mathematics, potential theory, statistics, game theory, economic decision theory and other fields of application. It unifies, simplifies and generalizes known results and supplements the theory with new results, thus providing a sound basis for applications and further research in this growing field of increasing interest. It also contains fundamental results of sigma-additive and finitely additive measure and integration theory and sheds new light on additive theory. Non-Additive Measure and Integral employs distribution functions and quantile functions as basis tools, thus remaining close to the familiar language of probability theory. In addition to serving as an important reference, the book can be used as a mathematics textbook for graduate courses or seminars, containing many exercises to support or supplement the text.
Author : Kazuo Murota
Publisher : SIAM
ISBN 13 : 9780898718508
Total Pages : 411 pages
Book Rating : 4.7/5 (185 download)
Download or read book Discrete Convex Analysis written by Kazuo Murota and published by SIAM. This book was released on 2003-01-01 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discrete Convex Analysis is a novel paradigm for discrete optimization that combines the ideas in continuous optimization (convex analysis) and combinatorial optimization (matroid/submodular function theory) to establish a unified theoretical framework for nonlinear discrete optimization. The study of this theory is expanding with the development of efficient algorithms and applications to a number of diverse disciplines like matrix theory, operations research, and economics. This self-contained book is designed to provide a novel insight into optimization on discrete structures and should reveal unexpected links among different disciplines. It is the first and only English-language monograph on the theory and applications of discrete convex analysis.
Author : Donald M. Topkis
Publisher : Princeton University Press
ISBN 13 : 140082253X
Total Pages : 285 pages
Book Rating : 4.4/5 (8 download)
Download or read book Supermodularity and Complementarity written by Donald M. Topkis and published by Princeton University Press. This book was released on 2011-02-11 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: The economics literature is replete with examples of monotone comparative statics; that is, scenarios where optimal decisions or equilibria in a parameterized collection of models vary monotonically with the parameter. Most of these examples are manifestations of complementarity, with a common explicit or implicit theoretical basis in properties of a super-modular function on a lattice. Supermodular functions yield a characterization for complementarity and extend the notion of complementarity to a general setting that is a natural mathematical context for studying complementarity and monotone comparative statics. Concepts and results related to supermodularity and monotone comparative statics constitute a new and important formal step in the long line of economics literature on complementarity. This monograph links complementarity to powerful concepts and results involving supermodular functions on lattices and focuses on analyses and issues related to monotone comparative statics. Don Topkis, who is known for his seminal contributions to this area, here presents a self-contained and up-to-date view of this field, including many new results, to scholars interested in economic theory and its applications as well as to those in related disciplines. The emphasis is on methodology. The book systematically develops a comprehensive, integrated theory pertaining to supermodularity, complementarity, and monotone comparative statics. It then applies that theory in the analysis of many diverse economic models formulated as decision problems, noncooperative games, and cooperative games.
Author : Willem Hundsdorfer
Publisher : Springer Science & Business Media
ISBN 13 : 3662090171
Total Pages : 479 pages
Book Rating : 4.6/5 (62 download)
Download or read book Numerical Solution of Time-Dependent Advection-Diffusion-Reaction Equations written by Willem Hundsdorfer and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 479 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unique book on Reaction-Advection-Diffusion problems
Author : Itzhak Gilboa
Publisher : Taylor & Francis
ISBN 13 : 1134344163
Total Pages : 577 pages
Book Rating : 4.1/5 (343 download)
Download or read book Uncertainty in Economic Theory written by Itzhak Gilboa and published by Taylor & Francis. This book was released on 2004-08-02 with total page 577 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume brings together important papers, coupled with new introductions, in the massively influential area of uncertainty in economic theory. Seminal papers are available together for the first time in book format, with new introductions and under the steely editorship of Itzhak Gilboa - this book is a useful reference tool for economists all over the globe.
Author : Satoru Fujishige
Publisher : Elsevier
ISBN 13 : 008046162X
Total Pages : 411 pages
Book Rating : 4.0/5 (84 download)
Download or read book Submodular Functions and Optimization written by Satoru Fujishige and published by Elsevier. This book was released on 2005-07-26 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: It has widely been recognized that submodular functions play essential roles in efficiently solvable combinatorial optimization problems. Since the publication of the 1st edition of this book fifteen years ago, submodular functions have been showing further increasing importance in optimization, combinatorics, discrete mathematics, algorithmic computer science, and algorithmic economics, and there have been made remarkable developments of theory and algorithms in submodular functions. The 2nd edition of the book supplements the 1st edition with a lot of remarks and with new two chapters: "Submodular Function Minimization" and "Discrete Convex Analysis." The present 2nd edition is still a unique book on submodular functions, which is essential to students and researchers interested in combinatorial optimization, discrete mathematics, and discrete algorithms in the fields of mathematics, operations research, computer science, and economics. Self-contained exposition of the theory of submodular functions Selected up-to-date materials substantial to future developments Polyhedral description of Discrete Convex Analysis Full description of submodular function minimization algorithms Effective insertion of figures Useful in applied mathematics, operations research, computer science, and economics
