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Optimization Methods for Gas and Power Markets: Theory and Cases (Applied Quantitative Finance 1st ed. 2015)

Optimization Methods for Gas and Power Markets: Theory and Cases (Applied Quantitative Finance 1st ed. 2015)

By: Tiziano Vargiolu (author), Enrico Edoli (author), Stefano Fiorenzani (author)Hardback

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Description

As power and gas markets are becoming more and more mature and globally competitive, the importance of reaching maximum potential economic efficiency is fundamental in all the sectors of the value chain, from investments selection to asset optimization, trading and sales. Optimization techniques can be used in many different fields of the energy industry, in order to reduce production and financial costs, increase sales revenues and mitigate all kinds of risks potentially affecting the economic margin. For this reason the industry has now focused its attention on the general concept of optimization and to the different techniques (mainly mathematical techniques) to reach it.Optimization Methods for Gas and Power Markets presents both theoretical elements and practical examples for solving energy optimization issues in gas and power markets. Starting with the theoretical framework and the basic business and economics of power and gas optimization, it quickly moves on to review the mathematical optimization problems inherent to the industry, and their solutions - all supported with examples from the energy sector. Coverage ranges from very long-term (and capital intensive) optimization problems such as investment valuation/diversification to asset (gas and power) optimization/hedging problems, and pure trading decisions.This book first presents the readers with various examples of optimization problems arising in power and gas markets, then deals with general optimization problems and describes the mathematical tools useful for their solution. The remainder of the book is dedicated to presenting a number of key business cases which apply the proposed techniques to concrete market problems. Topics include static asset optimization, real option evaluation, dynamic optimization of structured products like swing, virtual storage or virtual power plant contracts and optimal trading in intra-day power markets. As the book progresses, so too does the level of mathematical complexity, providing readers with an appreciation of the growing sophistication of even common problems in current market practice.Optimization Methods for Gas and Power Markets provides a valuable quantitative guide to the technicalities of optimization methodologies in gas and power markets; it is essential reading for practitioners in the energy industry and financial sector who work in trading, quantitative analysis and energy risk modeling.

About Author

Enrico Edoli is Founder and CEO of Phinergy, a consulting firm which produces analytics and quantitative tools for energy trading and risk management. He has published several technical articles and a book related to quantitative energy finance. He is also Lecturer of a course in Mathematical Finance at the University of Padova. Enrico has a degree in Mathematics from the University of Padova, Italy and a PhD in Applied Mathematics from the same university.Stefano Fiorenzani is a recognized expert in Energy Trading and Risk Management, with a career spanning numerous top European energy companies and financial institutions. He has published several scientific and business articles and three books on advanced methods in the energy finance area. Stefano is Founder and Chairman of Phinergy. He holds a degree in Economic Science, a Master of Science in Financial Economics and a PhD in Mathematical Finance.Tiziano Vargiolu is Associate Professor of Probability and Statistics at the Department of Mathematics of the University of Padua, Italy, since 1998. There, he has taught courses on Probability, Statistics and Quantitative Finance at undergraduate, master's and PhD level, and directed PhD and master's theses in Financial Mathematics. His research interests span a wide range of topics including stochastic optimal control, pricing of contingent claims, portfolio optimization, interest rates models, credit risk and energy markets.

Contents

1. Optimization in Energy Markets 1.1 Classification of optimization problems1.1.1 Linear versus Nonlinear Problems 1.1.2 Deterministic versus Stochastic Problems 1.1.3 Static versus Dynamic Problems1.2 Optimal portfolio selection among different investment alternatives1.3 Energy Asset Optimization 1.3.1 Generation Asset Investment Valuation with Real Option Methodology 1.3.2 Generation, Transportation and Storage Asset Operational Optimization and Valuation 1.4 Energy Trading and Optimization 1.4.1 Asset allocation with Capital Constraints 1.4.2 Intraday trading 2. Optimization Methods2.1 Linear Optimization2.1.1 LP problems2.2 Nonlinear Optimization2.2.1 Unconstrained problem2.2.2 Constrained Problems with Equality Constraints2.2.3 Constrained Problems with Inequalities Constraints2.3 Pricing financial assets2.3.1 Pricing in energy markets2.3.2 Pricing in incomplete markets2.3.3 A motivating example: utility indifference pricing2.4 Deterministic Dynamic Programming2.5 Stochastic Dynamic Programming, discrete time2.5.1 A motivating example2.5.2 The general case2.5.3 Tree methods2.5.4 Least Square Monte Carlo methods2.5.5 Naive Monte Carlo with Linear Programming2.6 Stochastic Dynamic Programming, continuous time2.6.1 The Hamilton-Jacobi-Bellman equation2.7 Deterministic numerical methods2.7.1 Finite Difference Method for HJB equation2.7.2 Boundary conditions2.8 Probabilistic numerical methods2.8.1 Tree methods, continuous time2.8.2 Computationally simple trees in dimension 12.8.3 Lattice of trees2.8.4 Monte Carlo methods3. Cases on Static Optimization3.1 Case A: investment alternatives3.2 Case B: Optimal generation mix for an electricity producer: a mean-variance approach3.3 Conclusions 4. Valuing project's exibilities using the diagrammatic approach4.1 Introduction4.2 Description of the Investment Problem4.3 Traditional evaluation Methods4.4 Modelling Electricity Price Dynamics4.5 Valuing Investment Flexibilities By Means Of The Lattice Approach4.5.1 Investment alternative A4.5.2 Investment alternative B4.5.3 Investment alternative C4.6 Conclusions5. Virtual Power Plant Contracts5.1 Introduction5.2 Valuation Problem5.2.1 Example6. Algorithms comparisonThe Swing Case6.1 Introduction6.2 Swing contracts6.2.1 Indexed strike price modelling for gas swing contracts6.2.2 The stochastic control problem6.2.3 Dynamic Programming6.3 Finite difference algorithm6.3.1 Boundary conditions6.3.2 The algorithm6.4 Least Square Monte Carlo algorithm6.4.1 The algorithm, and a reduction to one dimension6.5 Naive Monte Carlo with Linear Programming6.6 Numerical Experiments6.6.1 Finite differences6.6.2 Least Square Monte Carlo6.6.3 One year contract6.7 Conclusions7. Storage contracts7.1 The contract7.2 The evaluation problem7.3 The optimal strategy (in the case of a physical gas storage)7.4 The implementation7.4.1 The gas cave7.4.2 The gas spot price7.4.3 The boundary conditions7.4.4 Numerical experiment, no-penalty case7.4.5 Numerical experiment, penalty case8. Optimal Trading Strategies in Intraday Power Markets8.1 Intraday power markets8.1.1 Intraday power price features8.1.2 Conclusions8.2 Optimal Algorithmic Trading in Auction-Based Intraday Power Markets8.2.1 The optimization problem8.2.2 Example: Italian intra-day market8.3 Optimal Algorithmic Trading in Continuous Time Power Markets8.3.1 The optimization problem8.3.2 Example: EPEX Spot market

Product Details

  • ISBN13: 9781137412966
  • Format: Hardback
  • Number Of Pages: 192
  • ID: 9781137412966
  • weight: 476
  • ISBN10: 1137412968
  • edition: 1st ed. 2015

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