Mathematical Modelling of Contemporary Electricity Markets

Mathematical Modelling of Contemporary Electricity Markets PDF Author: Athanasios Dagoumas
Publisher: Academic Press
ISBN: 0128218398
Category : Political Science
Languages : en
Pages : 444

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Book Description
Mathematical Modelling of Contemporary Electricity Markets reviews major methodologies and tools to accurately analyze and forecast contemporary electricity markets in a ways that is ideal for practitioner and academic audiences. Approaches include optimization, neural networks, genetic algorithms, co-optimization, econometrics, E3 models and energy system models. The work examines how new challenges affect power market modeling, including discussions of stochastic renewables, price volatility, dynamic participation of demand, integration of storage and electric vehicles, interdependence with other commodity markets and the evolution of policy developments (market coupling processes, security of supply). Coverage addresses all major forms of electricity markets: day-ahead, forward, intraday, balancing, and capacity. - Provides a diverse body of established techniques suitable for modeling any major aspect of electricity markets - Familiarizes energy experts with the quantitative skills needed in competitive electricity markets - Reviews market risk for energy investment decisions by stressing the multi-dimensionality of electricity markets

Mathematical Modelling of Contemporary Electricity Markets

Mathematical Modelling of Contemporary Electricity Markets PDF Author: Athanasios Dagoumas
Publisher: Academic Press
ISBN: 0128218398
Category : Political Science
Languages : en
Pages : 444

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Book Description
Mathematical Modelling of Contemporary Electricity Markets reviews major methodologies and tools to accurately analyze and forecast contemporary electricity markets in a ways that is ideal for practitioner and academic audiences. Approaches include optimization, neural networks, genetic algorithms, co-optimization, econometrics, E3 models and energy system models. The work examines how new challenges affect power market modeling, including discussions of stochastic renewables, price volatility, dynamic participation of demand, integration of storage and electric vehicles, interdependence with other commodity markets and the evolution of policy developments (market coupling processes, security of supply). Coverage addresses all major forms of electricity markets: day-ahead, forward, intraday, balancing, and capacity. - Provides a diverse body of established techniques suitable for modeling any major aspect of electricity markets - Familiarizes energy experts with the quantitative skills needed in competitive electricity markets - Reviews market risk for energy investment decisions by stressing the multi-dimensionality of electricity markets

Mathematical Modeling of Collective Behavior in Socio-Economic and Life Sciences

Mathematical Modeling of Collective Behavior in Socio-Economic and Life Sciences PDF Author: Giovanni Naldi
Publisher: Springer Science & Business Media
ISBN: 0817649468
Category : Mathematics
Languages : en
Pages : 437

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Book Description
Using examples from finance and modern warfare to the flocking of birds and the swarming of bacteria, the collected research in this volume demonstrates the common methodological approaches and tools for modeling and simulating collective behavior. The topics presented point toward new and challenging frontiers of applied mathematics, making the volume a useful reference text for applied mathematicians, physicists, biologists, and economists involved in the modeling of socio-economic systems.

Financial Modelling in Commodity Markets

Financial Modelling in Commodity Markets PDF Author: Viviana Fanelli
Publisher: CRC Press
ISBN: 1351730959
Category : Business & Economics
Languages : en
Pages : 145

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Book Description
Financial Modelling in Commodity Markets provides a basic and self-contained introduction to the ideas underpinning financial modelling of products in commodity markets. The book offers a concise and operational vision of the main models used to represent, assess and simulate real assets and financial positions related to the commodity markets. It discusses statistical and mathematical tools important for estimating, implementing and calibrating quantitative models used for pricing and trading commodity-linked products and for managing basic and complex portfolio risks. Key features: Provides a step-by-step guide to the construction of pricing models, and for the applications of such models for the analysis of real data Written for scholars from a wide range of scientific fields, including economics and finance, mathematics, engineering and statistics, as well as for practitioners Illustrates some important pricing models using real data sets that will be commonly used in financial markets

The Financial Mathematics of Market Liquidity

The Financial Mathematics of Market Liquidity PDF Author: Olivier Gueant
Publisher: CRC Press
ISBN: 1498725481
Category : Business & Economics
Languages : en
Pages : 302

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Book Description
This book is among the first to present the mathematical models most commonly used to solve optimal execution problems and market making problems in finance. The Financial Mathematics of Market Liquidity: From Optimal Execution to Market Making presents a general modeling framework for optimal execution problems-inspired from the Almgren-Chriss app

Mathematical Methods for Financial Markets

Mathematical Methods for Financial Markets PDF Author: Monique Jeanblanc
Publisher: Springer Science & Business Media
ISBN: 1846287375
Category : Business & Economics
Languages : en
Pages : 754

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Book Description
Mathematical finance has grown into a huge area of research which requires a large number of sophisticated mathematical tools. This book simultaneously introduces the financial methodology and the relevant mathematical tools in a style that is mathematically rigorous and yet accessible to practitioners and mathematicians alike. It interlaces financial concepts such as arbitrage opportunities, admissible strategies, contingent claims, option pricing and default risk with the mathematical theory of Brownian motion, diffusion processes, and Lévy processes. The first half of the book is devoted to continuous path processes whereas the second half deals with discontinuous processes. The extensive bibliography comprises a wealth of important references and the author index enables readers quickly to locate where the reference is cited within the book, making this volume an invaluable tool both for students and for those at the forefront of research and practice.

Mathematical Models of Financial Derivatives

Mathematical Models of Financial Derivatives PDF Author: Yue-Kuen Kwok
Publisher: Springer Science & Business Media
ISBN: 3540686886
Category : Mathematics
Languages : en
Pages : 541

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Book Description
This second edition, now featuring new material, focuses on the valuation principles that are common to most derivative securities. A wide range of financial derivatives commonly traded in the equity and fixed income markets are analysed, emphasising aspects of pricing, hedging and practical usage. This second edition features additional emphasis on the discussion of Ito calculus and Girsanovs Theorem, and the risk-neutral measure and equivalent martingale pricing approach. A new chapter on credit risk models and pricing of credit derivatives has been added. Up-to-date research results are provided by many useful exercises.

Mathematical Models of Economic Growth and Crises

Mathematical Models of Economic Growth and Crises PDF Author: Alexei Krouglov
Publisher: Nova Science Publishers
ISBN: 9781536120448
Category : Business cycles
Languages : en
Pages : 0

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Book Description
The main goal of this book is to present coherent mathematical models to describe an economic growth and related economic issues. The book is a continuation of the authors previous book Mathematical Dynamics of Economic Markets (9781594545283), which presented mathematical models of economic forces acting on the markets. In his previous book, the author described a system of ordinary differential equations, which connected together economic forces behind the products demand, supply and prices on the market. The author focuses on a specific aspect of how to modify the said system of ordinary differential equations, in order to describe the phenomenon of economic growth. In order to achieve clarity, the author restricted himself to economic processes arising on the markets of a single-product economy. Economic growth is presented as a result of savings and investment occurring on the markets. The markets participants withdraw part of the product from markets in the form of savings and use the withdrawn product in production in the form of an investment. The withdrawal drives the products supply on the market down while at the same time driving the products price up, which in turn drives the products demand down. When an impact of the products price increase exceeds an impact of the products demand decrease, economic growth occurs. Contrarily, one observes an economic decline in the opposite situation. The author looks into various aspects that savings and investment exert on the market. He in particular discusses the models that examine an economic growth in situations when savings and investment were done in the form of a one-time withdrawal of the product, constant-rate withdrawal of product, constant-accelerated withdrawal of product, and exponential withdrawal of product from the market. The author further examines an impact of four economic concepts on economic growth -- demand, supply, investment, and debt. He presents mathematical models exploring interconnections among these concepts and studies their mutual impacts on both economic growth and decline. He builds a mathematical model in order to verify a hypothesis that weak recovery after the financial crisis could be attributed to the decline of investments that were not compensated by the decrease of an interest rate. The author also looks into the phenomenon of economic crises and builds a few mathematical models. The models of four economic crises are considered. The first model concerns the last financial crisis where an author tried to explain how relatively small disturbances on financial markets had produced a large impact on the real economy. His conclusion is that fluctuations on connected markets amplify each other, which is known as the resonance phenomenon. The second model relates to the monetary part of Japanese economic policy known as Abenomics, where the price of Japanese bonds decreases and the yield increases. The author builds a mathematical model to investigate this phenomenon. The third model is about a secular stagnation hypothesis advanced by Lawrence Summers. The author complements his model of economic growth with the external supply of product to the market. He found that external supply provided with either constant rate or constant acceleration can cause a restricted or unrestricted economic decline, respectively. The fourth model is a model describing the four stages of the Greek economic crisis (before the Eurozone, before the Euro crisis, after the Euro crisis, and during the austerity period) and two potential recovery stages (with austere and benign economic transformations).

Mathematical Modeling and Methods of Option Pricing

Mathematical Modeling and Methods of Option Pricing PDF Author: Lishang Jiang
Publisher: World Scientific
ISBN: 9812563695
Category : Science
Languages : en
Pages : 344

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Book Description
From the perspective of partial differential equations (PDE), this book introduces the Black-Scholes-Merton's option pricing theory. A unified approach is used to model various types of option pricing as PDE problems, to derive pricing formulas as their solutions, and to design efficient algorithms from the numerical calculation of PDEs.

Uniform Distribution of Sequences

Uniform Distribution of Sequences PDF Author: L. Kuipers
Publisher: Courier Corporation
ISBN: 0486149994
Category : Mathematics
Languages : en
Pages : 416

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Book Description
The theory of uniform distribution began with Hermann Weyl's celebrated paper of 1916. In later decades, the theory moved beyond its roots in diophantine approximations to provide common ground for topics as diverse as number theory, probability theory, functional analysis, and topological algebra. This book summarizes the theory's development from its beginnings to the mid-1970s, with comprehensive coverage of both methods and their underlying principles. A practical introduction for students of number theory and analysis as well as a reference for researchers in the field, this book covers uniform distribution in compact spaces and in topological groups, in addition to examinations of sequences of integers and polynomials. Notes at the end of each section contain pertinent bibliographical references and a brief survey of additional results. Exercises range from simple applications of theorems to proofs of propositions that expand upon results stated in the text.

Mathematical Models for Estimating Occupational Exposure to Chemicals

Mathematical Models for Estimating Occupational Exposure to Chemicals PDF Author: Wil F. Ten Berge
Publisher: AIHA
ISBN: 0932627994
Category : Chemical models
Languages : en
Pages : 120

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Book Description
Discusses mathematical exposure models which may assist industrial hygienists in determining acceptable exposure limits in the workplace.