Efficient Optimization Algorithms for Pricing Energy Derivatives and Standard Vanilla Options

Efficient Optimization Algorithms for Pricing Energy Derivatives and Standard Vanilla Options
Author: Valeriy V. Ryabchenko
Publisher:
Total Pages:
Release: 2008
Genre:
ISBN:

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Our second study considered a regression approach to pricing European options in an incomplete market. The algorithm replicates an option by a portfolio consisting of the underlying security and a risk-free bond. We apply linear regression framework and quadratic programming with linear constraints (input = sample paths of underlying security; output = table of option prices as a function of time and price of the underlying security). We populate the model with historical prices of the underlying security (possibly massaged to the present volatility) or with Monte Carlo simulated prices. Risk neutral processes or probabilities are not needed in this framework.

Efficient Pricing of Energy Derivatives

Efficient Pricing of Energy Derivatives
Author: Anders B. Trolle
Publisher:
Total Pages: 21
Release: 2016
Genre:
ISBN:

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I present a tractable framework, first developed in Trolle and Schwartz (2009), for pricing energy derivatives in the presence of unspanned stochastic volatility. Among the model features are i) a perfect fit to the initial futures term structure, ii) a fast and accurate Fourier-based pricing formula for European-style options on futures contracts, enabling efficient calibration to liquid plain-vanilla exchange-traded derivatives, and iii) the evolution of the futures curve being described in terms of a low-dimensional affine state vector, making the model ideally suited for pricing complex energy derivatives and real options by simulation. I also consider an extension of the framework that takes jumps in spot prices into account.

Computational Methods for Option Pricing

Computational Methods for Option Pricing
Author: Yves Achdou
Publisher: SIAM
Total Pages: 315
Release: 2005-01-01
Genre: Technology & Engineering
ISBN: 9780898717495

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The authors review some important aspects of finance modeling involving partial differential equations and focus on numerical algorithms for the fast and accurate pricing of financial derivatives and for the calibration of parameters. This book explores the best numerical algorithms and discusses them in depth, from their mathematical analysis up to their implementation in C++ with efficient numerical libraries.

Energy Power Risk

Energy Power Risk
Author: George Levy
Publisher: Emerald Group Publishing
Total Pages: 344
Release: 2018-12-10
Genre: Computers
ISBN: 178743527X

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The book describes both mathematical and computational tools for energy and power risk management, deriving from first principles stochastic models for simulating commodity risk and how to design robust C++ to implement these models.

Energy Derivatives

Energy Derivatives
Author: Les Clewlow
Publisher: Twayne Publishers
Total Pages: 246
Release: 2000
Genre: Derivative securities
ISBN: 9780953889600

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Commodity Price Dynamics

Commodity Price Dynamics
Author: Craig Pirrong
Publisher: Cambridge University Press
Total Pages: 238
Release: 2011-10-31
Genre: Business & Economics
ISBN: 1139501976

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Commodities have become an important component of many investors' portfolios and the focus of much political controversy over the past decade. This book utilizes structural models to provide a better understanding of how commodities' prices behave and what drives them. It exploits differences across commodities and examines a variety of predictions of the models to identify where they work and where they fail. The findings of the analysis are useful to scholars, traders and policy makers who want to better understand often puzzling - and extreme - movements in the prices of commodities from aluminium to oil to soybeans to zinc.

American-Style Derivatives

American-Style Derivatives
Author: Jerome Detemple
Publisher: CRC Press
Total Pages: 247
Release: 2005-12-09
Genre: Business & Economics
ISBN: 1420034863

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Focusing on recent developments in the field, American-Style Derivatives provides an extensive treatment of option pricing with emphasis on the valuation of American options on dividend-paying assets. This book reviews valuation principles for European contingent claims and extends the analysis to American contingent claims. It presents basic valuation principles for American options including barrier, capped, and multi-asset options. It also reviews numerical methods for option pricing and compares their relative performance. Ideal for students and researchers in quantitative finance, this material is accessible to those with a background in stochastic processes or derivative securities.

Options and Derivatives Programming in C++

Options and Derivatives Programming in C++
Author: CARLOS OLIVEIRA
Publisher: Apress
Total Pages: 273
Release: 2016-09-30
Genre: Computers
ISBN: 1484218140

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Learn how C++ is used in the development of solutions for options and derivatives trading in the financial industry. As an important part of the financial industry, options and derivatives trading has become increasingly sophisticated. Advanced trading techniques using financial derivatives have been used at banks, hedge funds, and pension funds. Because of stringent performance characteristics, most of these trading systems are developed using C++ as the main implementation language. Options and Derivatives Programming in C++ covers features that are frequently used to write financial software for options and derivatives, including the STL, templates, functional programming, and support for numerical libraries. New features introduced in the C++11 and C++14 standard are also covered: lambda functions, automatic type detection, custom literals, and improved initialization strategies for C++ objects. Readers will enjoy the how-to examples covering all the major tools and concepts used to build working solutions for quantitative finance. It includes advanced C++ concepts as well as the basic building libraries used by modern C++ developers, such as the STL and Boost, while also leveraging knowledge of object-oriented and template-based programming. Options and Derivatives Programming in C++ provides a great value for readers who are trying to use their current programming knowledge in order to become proficient in the style of programming used in large banks, hedge funds, and other investment institutions. The topics covered in the book are introduced in a logical and structured way and even novice programmers will be able to absorb the most important topics and competencies. What You Will Learn Grasp the fundamental problems in options and derivatives trading Converse intelligently about credit default swaps, Forex derivatives, and more Implement valuation models and trading strategies Build pricing algorithms around the Black-Sholes Model, and also using the Binomial and Differential Equations methods Run quantitative finance algorithms using linear algebra techniques Recognize and apply the most common design patterns used in options trading Save time by using the latest C++ features such as the STL and the Boost libraries Who This Book Is For Professional developers who have some experience with the C++ language and would like to leverage that knowledge into financial software development. This book is written with the goal of reaching readers who need a concise, algorithms-based book, providing basic information through well-targeted examples and ready to use solutions. Readers will be able to directly apply the concepts and sample code to some of the most common problems faced in the analysis of options and derivative contracts.