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This is the proceedings of the "8th IMACS Seminar on Monte Carlo Methods" held from August 29 to September 2, 2011 in Borovets, Bulgaria, and organized by the Institute of Information and Communication Technologies of the Bulgarian Academy of Sciences in cooperation with the International Association for Mathematics and Computers in Simulation (IMACS). Included are 24 papers which cover all topics presented in the sessions of the seminar: stochastic computation and complexity of high dimensional problems, sensitivity analysis, high-performance computations for Monte Carlo applications, stochastic metaheuristics for optimization problems, sequential Monte Carlo methods for large-scale problems, semiconductor devices and nanostructures. The history of the IMACS Seminar on Monte Carlo Methods goes back to April 1997 when the first MCM Seminar was organized in Brussels: 1st IMACS Seminar, 1997, Brussels, Belgium2nd IMACS Seminar, 1999, Varna, Bulgaria 3rd IMACS Seminar, 2001, Salzburg, Austria 4th IMACS Seminar, 2003, Berlin, Germany 5th IMACS Seminar, 2005, Tallahassee, USA6th IMACS Seminar, 2007, Reading, UK7th IMACS Seminar, 2009, Brussels, Belgium8th IMACS Seminar, 2011, Borovets, Bulgaria
Monte Carlo method --- Mathematics --- Math --- Science --- Monte Carlo Method, Stochastic Model, Financial Mathematics.
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This book addresses a broad range of problems commonly encountered in the fields of financial analysis, logistics and supply chain management, such as the use of big data analytics in the banking sector. Divided into nineteen chapters, some of the contemporary topics discussed in the book are co-operative/non-cooperative supply chain models for imperfect quality items with trade-credit financing; a non-dominated sorting water cycle algorithm for the cardinality constrained portfolio problem; and determining initial, basic and feasible solutions for transportation problems by means of the “supply demand reparation method” and “continuous allocation method.” In addition, the book delves into a comparison study on exponential smoothing and the Arima model for fuel prices; optimal policy for Weibull distributed deteriorating items varying with ramp type demand rate and shortages; an inventory model with shortages and deterioration for three different demand rates; outlier labeling methods for medical data; a garbage disposal plant as a validated model of a fault-tolerant system; and the design of a “least cost ration formulation application for cattle”; a preservation technology model for deteriorating items with advertisement dependent demand and trade credit; a time series model for stock price forecasting in India; and asset pricing using capital market curves. The book offers a valuable asset for all researchers and industry practitioners working in these areas, giving them a feel for the latest developments and encouraging them to pursue further research in this direction.
Business logistics --- Corporations --- Performance --- Management. --- Finance. --- Big data. --- Business logistics. --- Finance—Mathematics. --- Big Data/Analytics. --- Supply Chain Management. --- Logistics. --- Financial Mathematics. --- Supply chain management --- Industrial management --- Logistics --- Data sets, Large --- Large data sets --- Data sets
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In this textbook the authors introduce the important concepts of the financial software domain, and motivate the use of an agile software engineering approach for the development of financial software. They describe the role of software in defining financial models and in computing results from these models. Practical examples from bond pricing, yield curve estimation, share price analysis and valuation of derivative securities are given to illustrate the process of financial software engineering. Financial Software Engineering also includes a number of case studies based on typical financial engineering problems: * Internal rate of return calculation for bonds * Macaulay duration calculation for bonds * Bootstrapping of interest rates * Estimation of share price volatility * Technical analysis of share prices * Re-engineering Matlab to C# * Yield curve estimation * Derivative security pricing * Risk analysis of CDOs The book is suitable for undergraduate and postgraduate study, and for practitioners who wish to extend their knowledge of software engineering techniques for financial applications.
Software engineering. --- Financial engineering. --- Finance—Mathematics. --- Software Engineering. --- Financial Engineering. --- Financial Mathematics. --- Finance --- Mathematics. --- Computational finance --- Engineering, Financial --- Computer software engineering --- Engineering --- Arithmetic, Commercial --- Business --- Business arithmetic --- Business math --- Commercial arithmetic --- Mathematics --- Computer software --- Development. --- Development of computer software --- Software development --- Social sciences --- Mathematics in Business, Economics and Finance.
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Taking continuous-time stochastic processes allowing for jumps as its starting and focal point, this book provides an accessible introduction to the stochastic calculus and control of semimartingales and explains the basic concepts of Mathematical Finance such as arbitrage theory, hedging, valuation principles, portfolio choice, and term structure modelling. It bridges thegap between introductory texts and the advanced literature in the field. Most textbooks on the subject are limited to diffusion-type models which cannot easily account for sudden price movements. Such abrupt changes, however, can often be observed in real markets. At the same time, purely discontinuous processes lead to a much wider variety of flexible and tractable models. This explains why processes with jumps have become an established tool in the statistics and mathematics of finance. Graduate students, researchers as well as practitioners will benefit from this monograph. .
Economics, Mathematical. --- Economics --- Mathematical economics --- Econometrics --- Mathematics --- Methodology --- Economics, Mathematical . --- Probabilities. --- Financial engineering. --- Risk management. --- Finance—Mathematics. --- Quantitative Finance. --- Probability Theory and Stochastic Processes. --- Financial Engineering. --- Risk Management. --- Financial Mathematics. --- Insurance --- Management --- Computational finance --- Engineering, Financial --- Finance --- Probability --- Statistical inference --- Combinations --- Chance --- Least squares --- Mathematical statistics --- Risk --- Social sciences --- Financial risk management. --- Mathematics in Business, Economics and Finance. --- Probability Theory. --- Mathematics. --- Risk management
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This book presents the Proceedings of the 54th Winter School of Theoretical Physics on Simplicity of Complexity in Economic and Social Systems, held in Lądek Zdrój, Poland, from 18 to 24 February 2018. The purpose of the book is to introduce the new interdisciplinary research that links statistical physics, and particular attention is given to link physics of complex systems, with financial analysis and sociology. The main tools used in these areas are numerical simulation of agents behavior and the interpretation of results with the help of complexity methods, therefore a background in statistical physics and in physics of phase transition is necessary to take the first steps towards these research fields called econophysics and sociophysics. In this perspective, the book is intended to graduated students and young researchers who want to begin the study of this established new area, which connects physicists, economists, sociologists and IT professionals, to better understand complexity phenomena existing not only in physics but also in complex systems being seemingly far from traditional view at physics.
Statistical physics. --- Computational complexity. --- Finance—Mathematics. --- Applications of Nonlinear Dynamics and Chaos Theory. --- Statistical Physics and Dynamical Systems. --- Complexity. --- Financial Mathematics. --- Complexity, Computational --- Electronic data processing --- Machine theory --- Physics --- Mathematical statistics --- Statistical methods --- Econophysics --- Computational complexity --- Statistical physics --- Sociophysics --- System analysis --- Mathematical sociology --- Economics
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Yielding new insights into important market phenomena like asset price bubbles and trading constraints, this is the first textbook to present asset pricing theory using the martingale approach (and all of its extensions). Since the 1970s asset pricing theory has been studied, refined, and extended, and many different approaches can be used to present this material. Existing PhD–level books on this topic are aimed at either economics and business school students or mathematics students. While the first mostly ignore much of the research done in mathematical finance, the second emphasizes mathematical finance but does not focus on the topics of most relevance to economics and business school students. These topics are derivatives pricing and hedging (the Black–Scholes–Merton, the Heath–Jarrow–Morton, and the reduced-form credit risk models), multiple-factor models, characterizing systematic risk, portfolio optimization, market efficiency, and equilibrium (capital asset and consumption) pricing models. This book fills this gap, presenting the relevant topics from mathematical finance, but aimed at Economics and Business School students with strong mathematical backgrounds. .
Mathematics. --- Economics, Mathematical. --- Mathematical optimization. --- Probabilities. --- Quantitative Finance. --- Probability Theory and Stochastic Processes. --- Optimization. --- Financial Mathematics. --- Finance. --- Distribution (Probability theory. --- Finance—Mathematics. --- Distribution functions --- Frequency distribution --- Characteristic functions --- Probabilities --- Funding --- Funds --- Economics --- Currency question --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Martingales (Mathematics) --- Pricing. --- Economics, Mathematical . --- Probability --- Statistical inference --- Combinations --- Mathematics --- Chance --- Least squares --- Mathematical statistics --- Risk --- Mathematical economics --- Econometrics --- Methodology
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Josef Anton Strini analyzes a special stochastic optimal control problem. The problem under study arose from a dynamic cash management model in finance, where decisions about the dividend and financing policies of a firm have to be made. Additionally, using the dynamic programming approach, he extends the present discourse by the formal derivation of the Hamilton-Jacobi-Bellman equation and by examining the verification step carefully. Finally, the treatment is completed by solving the problem numerically. Contents Optimal Control of Markov Processes A Singular Stochastic Control Problem Dynamic Programming Approach and Consequences Target Groups Researchers and students in the fields of mathematics, probability theory and applied mathematics in financial and actuarial industry Mathematicians from the financial and actuarial industry The Author Josef Anton Strini wrote his master’s thesis under the supervision of Prof. Dr. Stefan Thonhauser at the Institute of Statistics at Graz University of Technology, Austria.
Mathematical optimization. --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Distribution (Probability theory. --- Finance—Mathematics. --- Finance. --- Probability Theory and Stochastic Processes. --- Financial Mathematics. --- Finance, general. --- Funding --- Funds --- Economics --- Currency question --- Distribution functions --- Frequency distribution --- Characteristic functions --- Probabilities --- Probabilities. --- Probability --- Statistical inference --- Combinations --- Mathematics --- Chance --- Least squares --- Mathematical statistics --- Risk --- Social sciences --- Probability Theory. --- Mathematics in Business, Economics and Finance. --- Financial Economics. --- Mathematics.
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The primary goal of the book is to present the ideas and research findings of active researchers from various communities (physicists, economists, mathematicians, financial engineers) working in the field of "Econophysics", who have undertaken the task of modelling and analyzing order-driven markets. Of primary interest in these studies are the mechanisms leading to the statistical regularities ("stylized facts") of price statistics. Results pertaining to other important issues such as market impact, the profitability of trading strategies, or mathematical models for microstructure effects, are also presented. Several leading researchers in these fields report on their recent work and also review the contemporary literature. Some historical perspectives, comments and debates on recent issues in Econophysics research are also included.
Finance -- Mathematical models. --- Financial mathematics. --- Risk -- Mathematical models. --- Statistical Physics. --- Income distribution --- Finance --- Statistical physics --- Business & Economics --- Economic Theory --- Mathematical models --- Distribution of income --- Income inequality --- Inequality of income --- Partial differential equations. --- System theory. --- Schools of economics. --- Economics. --- Heterodox Economics. --- Complex Systems. --- Partial Differential Equations. --- Statistical Physics and Dynamical Systems. --- Distribution (Economic theory) --- Disposable income --- Differential equations, partial. --- Statistical physics. --- Physics --- Mathematical statistics --- Partial differential equations --- Economics schools of thought --- Schools of economic thought --- Economics --- Statistical methods --- Dynamical systems. --- Dynamical systems --- Kinetics --- Mathematics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Statics
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This open access brief introduces the basic principles of control theory in a concise self-study guide. It complements the classic texts by emphasizing the simple conceptual unity of the subject. A novice can quickly see how and why the different parts fit together. The concepts build slowly and naturally one after another, until the reader soon has a view of the whole. Each concept is illustrated by detailed examples and graphics. The full software code for each example is available, providing the basis for experimenting with various assumptions, learning how to write programs for control analysis, and setting the stage for future research projects. The topics focus on robustness, design trade-offs, and optimality. Most of the book develops classical linear theory. The last part of the book considers robustness with respect to nonlinearity and explicitly nonlinear extensions, as well as advanced topics such as adaptive control and model predictive control. New students, as well as scientists from other backgrounds who want a concise and easy-to-grasp coverage of control theory, will benefit from the emphasis on concepts and broad understanding of the various approaches.
Engineering. --- System theory. --- Mathematical physics. --- Biomathematics. --- Control engineering. --- Control. --- Systems Theory, Control. --- Mathematical and Computational Biology. --- Mathematical Applications in the Physical Sciences. --- Financial Mathematics. --- Control engineering --- Control equipment --- Control theory --- Engineering instruments --- Automation --- Programmable controllers --- Biology --- Mathematics --- Physical mathematics --- Physics --- Systems, Theory of --- Systems science --- Science --- Construction --- Industrial arts --- Technology --- Philosophy --- Systems theory. --- Finance—Mathematics. --- Control and Systems Theory. --- Finance --- Mathematics. --- Arithmetic, Commercial --- Business --- Business arithmetic --- Business math --- Commercial arithmetic --- Itinerario de Automática (70884203) --- Bibliografía recomendada --- Control Theory --- Wolfram Mathematica Software --- Robust Control --- Engineering Design Tradeoffs --- Feedback Control Systems --- Optimal Control --- Control theory. --- Social sciences --- Systems Theory, Control . --- Mathematical Physics. --- Mathematics in Business, Economics and Finance. --- Dynamics --- Machine theory
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This book provides an overview of the risk components of CoCo bonds. CoCos are hybrid financial instruments that convert into equity or suffer a write-down of the face value upon the appearance of a trigger event. The loss-absorption mechanism is automatically enforced either via the breaching of a particular accounting ratio, typically in terms of the Common Equity Tier 1 (CET1) ratio, or via a regulatory trigger. CoCos are non-standardised instruments with different loss-absorption and trigger mechanisms. They might also contain additional features such as the cancellation of coupon payments. Different pricing models are discussed in detail. These models use market data such as share prices, CDS levels and implied volatility in order to calculate the theoretical price of a CoCo bond and its sensitivities, providing the investor with insides to hedge from adverse changes in the market conditions. The audience are professionals as well as academics who want to learn how to risk manage CoCo bonds using cutting edge techniques as well as all the risk involved in CoCo bonds.
Convertible bonds. --- Bonds, Convertible --- Convertibles (Bonds) --- Liquid yield option notes --- Bonds --- Convertible securities --- Finance. --- Financial engineering. --- Statistics. --- Finance—Mathematics. --- Distribution (Probability theory. --- Risk management. --- Quantitative Finance. --- Financial Engineering. --- Statistics for Business, Management, Economics, Finance, Insurance. --- Financial Mathematics. --- Probability Theory and Stochastic Processes. --- Risk Management. --- Insurance --- Management --- Distribution functions --- Frequency distribution --- Characteristic functions --- Probabilities --- Statistical analysis --- Statistical data --- Statistical methods --- Statistical science --- Mathematics --- Econometrics --- Computational finance --- Engineering, Financial --- Finance --- Funding --- Funds --- Economics --- Currency question --- Economics, Mathematical . --- Statistics . --- Probabilities. --- Probability --- Statistical inference --- Combinations --- Chance --- Least squares --- Mathematical statistics --- Risk --- Mathematical economics --- Methodology
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