Variance and Volatility Swaps in Energy Markets

Variance and Volatility Swaps in Energy Markets PDF Author: Anatoliy V. Swishchuk
Publisher:
ISBN:
Category :
Languages : en
Pages : 0

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Book Description
This paper is devoted to the pricing of variance and volatility swaps in energy market. We found explicit variance swap formula and closed form volatility swap formula (using Brockhaus-Long approximation) for energy asset with stochastic volatility that follows continuous-time GARCH (1,1) model (mean-reverting) (or Pilipovi '{c} one-factor model). Numerical example is presented for AECO Natural Gas Index (1 May 1998-30 April 1999).

Variance and Volatility Swaps in Energy Markets

Variance and Volatility Swaps in Energy Markets PDF Author: Anatoliy V. Swishchuk
Publisher:
ISBN:
Category :
Languages : en
Pages : 0

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Book Description
This paper is devoted to the pricing of variance and volatility swaps in energy market. We found explicit variance swap formula and closed form volatility swap formula (using Brockhaus-Long approximation) for energy asset with stochastic volatility that follows continuous-time GARCH (1,1) model (mean-reverting) (or Pilipovi '{c} one-factor model). Numerical example is presented for AECO Natural Gas Index (1 May 1998-30 April 1999).

Modeling and Pricing of Swaps for Financial and Energy Markets with Stochastic Volatilities

Modeling and Pricing of Swaps for Financial and Energy Markets with Stochastic Volatilities PDF Author: Anatoli? Vital?evich Svishchuk
Publisher: World Scientific
ISBN: 9814440132
Category : Business & Economics
Languages : en
Pages : 326

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Book Description
Modeling and Pricing of Swaps for Financial and Energy Markets with Stochastic Volatilities is devoted to the modeling and pricing of various kinds of swaps, such as those for variance, volatility, covariance, correlation, for financial and energy markets with different stochastic volatilities, which include CIR process, regime-switching, delayed, mean-reverting, multi-factor, fractional, Levy-based, semi-Markov and COGARCH(1,1). One of the main methods used in this book is change of time method. The book outlines how the change of time method works for different kinds of models and problems arising in financial and energy markets and the associated problems in modeling and pricing of a variety of swaps. The book also contains a study of a new model, the delayed Heston model, which improves the volatility surface fitting as compared with the classical Heston model. The author calculates variance and volatility swaps for this model and provides hedging techniques. The book considers content on the pricing of variance and volatility swaps and option pricing formula for mean-reverting models in energy markets. Some topics such as forward and futures in energy markets priced by multi-factor Levy models and generalization of Black-76 formula with Markov-modulated volatility are part of the book as well, and it includes many numerical examples such as S&P60 Canada Index, S&P500 Index and AECO Natural Gas Index.

Overview of Some Recent Results in Energy Market Modelling and Clean Energy Vision in Canada

Overview of Some Recent Results in Energy Market Modelling and Clean Energy Vision in Canada PDF Author: Anatoliy V. Swishchuk
Publisher:
ISBN:
Category :
Languages : en
Pages : 0

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Book Description
The paper overviews our recent results in energy market modelling, including: option pricing formula for a mean-reversion asset; variance and volatility swaps in energy markets; applications of weather derivatives in energy markets; pricing crude oil options using L evy processes; energy contracts modelling with delayed and jumped volatilities; applications of mean-reverting processes in Alberta energy markets; Aaternatives to Black- 76 model for options valuation of futures contracts. We will also consider the clean renewable energy prospective in Canada, and, in particular in Alberta and Calgary.

Energy Risk

Energy Risk PDF Author: Dragana Pilipović
Publisher: McGraw Hill Professional
ISBN: 9780786312313
Category : Business & Economics
Languages : en
Pages : 284

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Book Description
Gain the benefit of Pilipovic's complete energy risk management system, from devising hedging and trading strategies to the implementation on the trading desk. "Energy Risk" explains valuation and portfolio analysis, and offers tips for managers who must deal with energy risk. It covers electricity, natural gas, and other energy markets. 175 illus.

Encyclopedia of Financial Models

Encyclopedia of Financial Models PDF Author: Frank J. Fabozzi
Publisher: John Wiley & Sons
ISBN: 1118539761
Category : Business & Economics
Languages : en
Pages : 640

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Book Description
Volume 1 of the Encyclopedia of Financial Models The need for serious coverage of financial modeling has never been greater, especially with the size, diversity, and efficiency of modern capital markets. With this in mind, the Encyclopedia of Financial Models has been created to help a broad spectrum of individuals ranging from finance professionals to academics and students understand financial modeling and make use of the various models currently available. Incorporating timely research and in-depth analysis, Volume 1 of the Encyclopedia of Financial Models covers both established and cutting-edge models and discusses their real-world applications. Edited by Frank Fabozzi, this volume includes contributions from global financial experts as well as academics with extensive consulting experience in this field. Organized alphabetically by category, this reliable resource consists of thirty-nine informative entries and provides readers with a balanced understanding of today's dynamic world of financial modeling. Volume 1 addresses Asset Pricing Models, Bayesian Analysis and Financial Modeling Applications, Bond Valuation Modeling, Credit Risk Modeling, and Derivatives Valuation Emphasizes both technical and implementation issues, providing researchers, educators, students, and practitioners with the necessary background to deal with issues related to financial modeling The 3-Volume Set contains coverage of the fundamentals and advances in financial modeling and provides the mathematical and statistical techniques needed to develop and test financial models Financial models have become increasingly commonplace, as well as complex. They are essential in a wide range of financial endeavors, and the Encyclopedia of Financial Models will help put them in perspective.

Encyclopedia of Financial Models

Encyclopedia of Financial Models PDF Author: Frank J. Fabozzi
Publisher: John Wiley & Sons
ISBN: 1118539958
Category : Business & Economics
Languages : en
Pages : 3180

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Book Description
An essential reference dedicated to a wide array of financial models, issues in financial modeling, and mathematical and statistical tools for financial modeling The need for serious coverage of financial modeling has never been greater, especially with the size, diversity, and efficiency of modern capital markets. With this in mind, the Encyclopedia of Financial Models, 3 Volume Set has been created to help a broad spectrum of individuals—ranging from finance professionals to academics and students—understand financial modeling and make use of the various models currently available. Incorporating timely research and in-depth analysis, the Encyclopedia of Financial Models is an informative 3-Volume Set that covers both established and cutting-edge models and discusses their real-world applications. Edited by Frank Fabozzi, this set includes contributions from global financial experts as well as academics with extensive consulting experience in this field. Organized alphabetically by category, this reliable resource consists of three separate volumes and 127 entries—touching on everything from asset pricing and bond valuation models to trading cost models and volatility—and provides readers with a balanced understanding of today's dynamic world of financial modeling. Frank Fabozzi follows up his successful Handbook of Finance with another major reference work, The Encyclopedia of Financial Models Covers the two major topical areas: asset valuation for cash and derivative instruments, and portfolio modeling Fabozzi explores the critical background tools from mathematics, probability theory, statistics, and operations research needed to understand these complex models Organized alphabetically by category, this book gives readers easy and quick access to specific topics sorted by an applicable category among them Asset Allocation, Credit Risk Modeling, Statistical Tools 3 Volumes onlinelibrary.wiley.com Financial models have become increasingly commonplace, as well as complex. They are essential in a wide range of financial endeavors, and this 3-Volume Set will help put them in perspective.

Change of Time Methods in Quantitative Finance

Change of Time Methods in Quantitative Finance PDF Author: Anatoliy Swishchuk
Publisher: Springer
ISBN: 331932408X
Category : Mathematics
Languages : en
Pages : 140

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Book Description
This book is devoted to the history of Change of Time Methods (CTM), the connections of CTM to stochastic volatilities and finance, fundamental aspects of the theory of CTM, basic concepts, and its properties. An emphasis is given on many applications of CTM in financial and energy markets, and the presented numerical examples are based on real data. The change of time method is applied to derive the well-known Black-Scholes formula for European call options, and to derive an explicit option pricing formula for a European call option for a mean-reverting model for commodity prices. Explicit formulas are also derived for variance and volatility swaps for financial markets with a stochastic volatility following a classical and delayed Heston model. The CTM is applied to price financial and energy derivatives for one-factor and multi-factor alpha-stable Levy-based models. Readers should have a basic knowledge of probability and statistics, and some familiarity with stochastic processes, such as Brownian motion, Levy process and martingale.

Variance and Volatility Swaps and Futures Pricing for Stochastic Volatility Models

Variance and Volatility Swaps and Futures Pricing for Stochastic Volatility Models PDF Author: Anatoliy V. Swishchuk
Publisher:
ISBN:
Category :
Languages : en
Pages : 26

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Book Description
In this chapter, we consider volatility swap, variance swap and VIX future pricing under different stochastic volatility models and jump diffusion models which are commonly used in financial market. We use convexity correction approximation technique and Laplace transform method to evaluate volatility strikes and estimate VIX future prices. In empirical study, we use Markov chain Monte Carlo algorithm for model calibration based on S&P 500 historical data, evaluate the effect of adding jumps into asset price processes on volatility derivatives pricing, and compare the performance of different pricing approaches.

Encyclopedia of Financial Models, Volume III

Encyclopedia of Financial Models, Volume III PDF Author: Frank J. Fabozzi
Publisher: John Wiley & Sons
ISBN: 1118539834
Category : Business & Economics
Languages : en
Pages : 1060

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Book Description
Volume 3 of the Encyclopedia of Financial Models The need for serious coverage of financial modeling has never been greater, especially with the size, diversity, and efficiency of modern capital markets. With this in mind, the Encyclopedia of Financial Models has been created to help a broad spectrum of individuals—ranging from finance professionals to academics and students—understand financial modeling and make use of the various models currently available. Incorporating timely research and in-depth analysis, Volume 3 of the Encyclopedia of Financial Models covers both established and cutting-edge models and discusses their real-world applications. Edited by Frank Fabozzi, this volume includes contributions from global financial experts as well as academics with extensive consulting experience in this field. Organized alphabetically by category, this reliable resource consists of forty-four informative entries and provides readers with a balanced understanding of today’s dynamic world of financial modeling. Volume 3 covers Mortgage-Backed Securities Analysis and Valuation, Operational Risk, Optimization Tools, Probability Theory, Risk Measures, Software for Financial Modeling, Stochastic Processes and Tools, Term Structure Modeling, Trading Cost Models, and Volatility Emphasizes both technical and implementation issues, providing researchers, educators, students, and practitioners with the necessary background to deal with issues related to financial modeling The 3-Volume Set contains coverage of the fundamentals and advances in financial modeling and provides the mathematical and statistical techniques needed to develop and test financial models Financial models have become increasingly commonplace, as well as complex. They are essential in a wide range of financial endeavors, and the Encyclopedia of Financial Models will help put them in perspective.

Simple variance swaps

Simple variance swaps PDF Author: Ian Martin
Publisher:
ISBN:
Category : Economics
Languages : en
Pages : 20

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Book Description
Abstract: The large asset price jumps that took place during 2008 and 2009 disrupted volatility derivatives markets and caused the single-name variance swap market to dry up completely. This paper defines and analyzes a simple variance swap, a relative of the variance swap that in several respects has more desirable properties. First, simple variance swaps are robust: they can be easily priced and hedged even if prices can jump. Second, simple variance swaps supply a more accurate measure of market-implied variance than do variance swaps or the VIX index. Third, simple variance swaps provide a better way to measure and to trade correlation. The paper also explains how to interpret VIX in the presence of jumps