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Application Of The Least Squares Monte Carlo Technique To The Valuation Of Gas Storage Assets And Swing Options
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Book Synopsis Application of the Least Squares Monte Carlo Technique to the Valuation of Gas Storage Assets and Swing Options by : Jim Redington
Download or read book Application of the Least Squares Monte Carlo Technique to the Valuation of Gas Storage Assets and Swing Options written by Jim Redington and published by . This book was released on 2009 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Least Squares Monte Carlo Method for the Valuation of Gas Storages by : Mridul Chandra Roy
Download or read book The Least Squares Monte Carlo Method for the Valuation of Gas Storages written by Mridul Chandra Roy and published by . This book was released on 2015-02-10 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt: Master's Thesis from the year 2014 in the subject Computer Science - Applied, grade: 1.3, University of Wuppertal, course: Financial Mathematics, language: English, abstract: The aim of this thesis paper is to apply the Least Square Monte Carlo (LSMC) method to valuate natural gas storage facility. The first aspect of this paper is to show the relationship between American Option pricing and gas storage valuation which helps us to use, a classical least square approach, the Longstaff and Schwartz method. The key to this approach is the use of least squares to estimate the conditional expected payoff to the option holder from continuation. The second novelty proposes realistic gas price dynamics and complex physical constraints. Specifically, we extend the LSMC method for American options to gas storage valuation. We include numerical examples and results using MATLAB to illustrate our findings.
Book Synopsis Comparison of Least Squares Monte Carlo Methods with Applications to Energy Real Options by : Selvaprabu Nadarajah
Download or read book Comparison of Least Squares Monte Carlo Methods with Applications to Energy Real Options written by Selvaprabu Nadarajah and published by . This book was released on 2018 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Least squares Monte Carlo (LSM) is a state-of-the-art approximate dynamic programming approach used in financial engineering and real options to value and manage options with early or multiple exercise opportunities. It is also applicable to capacity investment and inventory/production management problems with demand/supply forecast updates arising in operations and hydropower-reservoir management. LSM has two variants, referred to as regress-now/later (LSMN/L), which compute continuation/value function approximations (C/VFAs). We provide novel numerical evidence for the relative performance of these methods applied to energy swing and storage options, two typical real options, using a common price evolution model. LSMN/L estimate C/VFAs that yield equally accurate (near optimal) and precise lower and dual (upper) bounds on the value of these real options. Estimating the LSMN/L C/VFAs and their associated lower bounds takes similar computational effort. In contrast, the estimation of a dual bound using the LSML VFA instead of the LSMN CFA takes seconds rather than minutes or hours. This finding suggests the use of LSML in lieu of LSMN when estimating dual bounds on the value of early or multiple exercise options, as well as of related capacity investment and inventory/production policies.
Book Synopsis Real Options In Energy And Commodity Markets by : Nicola Secomandi
Download or read book Real Options In Energy And Commodity Markets written by Nicola Secomandi and published by World Scientific. This book was released on 2016-11-28 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: The field of real options is concerned with the management and financial valuation of operational flexibility in business endeavors. From the very outset, energy and commodity markets — which play fundamental roles in the worldwide economy — have provided a relevant context for real option analysis, both in theory and practice.This volume is a collection of six chapters covering recent research on real options in energy and commodity markets, reflecting the significance of these markets for real option analysis. The volume is divided into two parts — the first on theory and the second on methods and applications.The two chapters in the first part of the book respectively address commodity storage and the concept of convenience yield, and how the management of real options can be impacted by the trader's own market decisions in the context of commodity shipping.The four chapters in the second part of the book propose and apply real option models in various domains — modeling the evolution of futures prices of emission certificates; managing copper extraction illustrated with an application to a project at Codelco, Chile, the largest copper producer in the world; the core ideas behind real option analysis in the context of the merchant management of hydrocarbon cracking operations; and optimizing the portfolio of contracts that oil refineries use to market their gasoline production.
Download or read book The Journal of Derivatives written by and published by . This book was released on 2007 with total page 788 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Numerical Methods in Finance by : René Carmona
Download or read book Numerical Methods in Finance written by René Carmona and published by Springer Science & Business Media. This book was released on 2012-03-23 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical methods in finance have emerged as a vital field at the crossroads of probability theory, finance and numerical analysis. Based on presentations given at the workshop Numerical Methods in Finance held at the INRIA Bordeaux (France) on June 1-2, 2010, this book provides an overview of the major new advances in the numerical treatment of instruments with American exercises. Naturally it covers the most recent research on the mathematical theory and the practical applications of optimal stopping problems as they relate to financial applications. By extension, it also provides an original treatment of Monte Carlo methods for the recursive computation of conditional expectations and solutions of BSDEs and generalized multiple optimal stopping problems and their applications to the valuation of energy derivatives and assets. The articles were carefully written in a pedagogical style and a reasonably self-contained manner. The book is geared toward quantitative analysts, probabilists, and applied mathematicians interested in financial applications.
Book Synopsis Optimization Methods for Gas and Power Markets by : Enrico Edoli
Download or read book Optimization Methods for Gas and Power Markets written by Enrico Edoli and published by Springer. This book was released on 2016-04-30 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Approving Least Squares Monte Carlo Approach for Valuing American Options by : Lei Zhang
Download or read book Approving Least Squares Monte Carlo Approach for Valuing American Options written by Lei Zhang and published by . This book was released on 2004 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Monte Carlo Least Squares Applied to Swing Options by : Michael Fischbach
Download or read book Monte Carlo Least Squares Applied to Swing Options written by Michael Fischbach and published by . This book was released on 2009 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Handbook of Multi-Commodity Markets and Products by : Andrea Roncoroni
Download or read book Handbook of Multi-Commodity Markets and Products written by Andrea Roncoroni and published by John Wiley & Sons. This book was released on 2015-04-27 with total page 1076 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Multi-Commodity Markets and ProductsOver recent decades, the marketplace has seen an increasing integration, not only among different types of commodity markets such as energy, agricultural, and metals, but also with financial markets. This trend raises important questions about how to identify and analyse opportunities in and manage risks of commodity products. The Handbook of Multi-Commodity Markets and Products offers traders, commodity brokers, and other professionals a practical and comprehensive manual that covers market structure and functioning, as well as the practice of trading across a wide range of commodity markets and products. Written in non-technical language, this important resource includes the information needed to begin to master the complexities of and to operate successfully in today’s challenging and fluctuating commodity marketplace. Designed as a practical practitioner-orientated resource, the book includes a detailed overview of key markets – oil, coal, electricity, emissions, weather, industrial metals, freight, agricultural and foreign exchange – and contains a set of tools for analysing, pricing and managing risk for the individual markets. Market features and the main functioning rules of the markets in question are presented, along with the structure of basic financial products and standardised deals. A range of vital topics such as stochastic and econometric modelling, market structure analysis, contract engineering, as well as risk assessment and management are presented and discussed in detail with illustrative examples to commodity markets. The authors showcase how to structure and manage both simple and more complex multi-commodity deals. Addressing the issues of profit-making and risk management, the book reveals how to exploit pay-off profiles and trading strategies on a diversified set of commodity prices. In addition, the book explores how to price energy products and other commodities belonging to markets segmented across specific structural features. The Handbook of Multi-Commodity Markets and Products includes a wealth of proven methods and useful models that can be selected and developed in order to make appropriate estimations of the future evolution of prices and appropriate valuations of products. The authors additionally explore market risk issues and what measures of risk should be adopted for the purpose of accurately assessing exposure from multi-commodity portfolios. This vital resource offers the models, tools, strategies and general information commodity brokers and other professionals need to succeed in today’s highly competitive marketplace.
Book Synopsis Monte Carlo Valuation of Energy Options by : Wen-Yu Liao
Download or read book Monte Carlo Valuation of Energy Options written by Wen-Yu Liao and published by . This book was released on 2008 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Managing Energy Risk by : Markus Burger
Download or read book Managing Energy Risk written by Markus Burger and published by John Wiley & Sons. This book was released on 2014-06-23 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: An overview of today's energy markets from a multi-commodity perspective As global warming takes center stage in the public and private sectors, new debates on the future of energy markets and electricity generation have emerged around the world. The Second Edition of Managing Energy Risk has been updated to reflect the latest products, approaches, and energy market evolution. A full 30% of the content accounts for changes that have occurred since the publication of the first edition. Practitioners will appreciate this contemporary approach to energy and the comprehensive information on recent market influences. A new chapter is devoted to the growing importance of renewable energy sources, related subsidy schemes and their impact on energy markets. Carbon emissions certificates, post-Fukushima market shifts, and improvements in renewable energy generation are all included. Further, due to the unprecedented growth in shale gas production in recent years, a significant amount of material on gas markets has been added in this edition. Managing Energy Risk is now a complete guide to both gas and electricity markets, and gas-specific models like gas storage and swing contracts are given their due. The unique, practical approach to energy trading includes a comprehensive explanation of the interactions and relations between all energy commodities. Thoroughly revised to reflect recent changes in renewable energy, impacts of the financial crisis, and market fluctuations in the wake of Fukushima Emphasizes both electricity and gas, with all-new gas valuation models and a thorough description of the gas market Written by a team of authors with theoretical and practical expertise, blending mathematical finance and technical optimization Covers developments in the European Union Emissions Trading Scheme, as well as coal, oil, natural gas, and renewables The latest developments in gas and power markets have demonstrated the growing importance of energy risk management for utility companies and energy intensive industry. By combining energy economics models and financial engineering, Managing Energy Risk delivers a balanced perspective that captures the nuances in the exciting world of energy.
Book Synopsis Pricing Swing Options within Stochastic Volatility Model by Least Square Monte Carlo by :
Download or read book Pricing Swing Options within Stochastic Volatility Model by Least Square Monte Carlo written by and published by . This book was released on 2012 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Enhancing Least Squares Monte Carlo with Diffusion Bridges by : Tommaso Pellegrino
Download or read book Enhancing Least Squares Monte Carlo with Diffusion Bridges written by Tommaso Pellegrino and published by . This book was released on 2015 with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this study is to present an efficient and easy framework for the application of the Least Squares Monte Carlo methodology to the pricing of gas or power facilities as detailed in Boogert and de Jong. As mentioned in the seminal paper by Longstaff and Schwartz, the convergence of the Least Squares Monte Carlo depends on the convergence of the optimization combined with the convergence of the pure Monte Carlo method. In the context of the energy facilities, the convergence of the algorithm is more challenging in particular for the computation of sensitivities and optimal dispatched quantities. To our knowledge, an extensive study of the convergence and hence, of the reliability of the algorithm has not been performed yet, in our opinion because of the apparent infeasibility and complexity to use a very high number of simulations. We present then an easy way to simulate random trajectories by means of diffusion bridges similar to the one proposed by Kutt and Welke that is equivalent to generate a time reversal Itō diffusion. Our approach permits to perform a backward dynamic programming strategy based on a huge number of simulations without storing the whole simulated trajectory.Generally, in the valuation of energy facilities one is also interested in the forward recursion. We then design the backward and forward recursions algorithm such that one can produce the same random trajectories by the use of multiple independent random streams without storing at intermediate time steps. Finally, we show the advantages of our methodology for the valuation of virtual hydro power plants and gas storages.
Book Synopsis Apply the Least Squares Monte Carlo Approach to Extremely Complex Options: A Building Block Methodology by :
Download or read book Apply the Least Squares Monte Carlo Approach to Extremely Complex Options: A Building Block Methodology written by and published by . This book was released on 2006 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Assessing Least Squares Monte Carlo for the Kulatilaka Trigeorgis General Real Options Pricing Model by : Giuseppe Alesii
Download or read book Assessing Least Squares Monte Carlo for the Kulatilaka Trigeorgis General Real Options Pricing Model written by Giuseppe Alesii and published by . This book was released on 2008 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt: We assess the applicability of (Longstaff and Schwartz, 2001) Least Squares Monte Carlo method to the General Real Options Pricing Model of (Kulatilaka and Trigeorgis, 1994). We study LSMC under different stochastic processes: GBM, up to three dimensions, models 1, 2 and 3 in (Schwartz, 1997), benchmarking every application by lattice methods. We explore empirically a generalization of proposition 1 page 124 in (Longstaff and Schwartz, 2001) with respect to the number of discretization points, of basis functions and the number of simulated paths. We study the speed precision tradeoff of LSMC individual estimates. Finally, we show their statistical properties.
Book Synopsis Least Squares Monte Carlo and Approximate Linear Programming by : Selvaprabu Nadarajah
Download or read book Least Squares Monte Carlo and Approximate Linear Programming written by Selvaprabu Nadarajah and published by . This book was released on 2018 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt: Least squares Monte Carlo (LSM) is an approximate dynamic programming (ADP) technique commonly used for the valuation of high dimensional financial and real options, but has broader applicability. It is known that the regress-later version of this method is an approximate linear programming (ALP) relaxation that implicitly provides a potential solution to a familiar ALP deficiency. Focusing on a generic finite horizon Markov decision process, we provide both theoretical and numerical backing for the usefulness of this solution, respectively using a worst-case error bound analysis and a numerical study dealing with merchant ethanol production, an energy real option application, based on an ALP heuristic that we propose. When both methodologies are applicable, our research supports the use of regress-later LSM rather than this ALP technique to approximately solve intractable Markov decision processes. Our numerical findings motivate additional research to obtain even better methods than the regress-later version of LSM.
