Modeling And Pricing Of Swaps For Financial And Energy Markets With Stochastic Volatilities

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Modeling And Pricing Of Swaps For Financial And Energy Markets With Stochastic Volatilities

Author : Anatoliy Swishchuk
Publisher : World Scientific
ISBN 13 : 9814440140
Total Pages : 326 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Modeling And Pricing Of Swaps For Financial And Energy Markets With Stochastic Volatilities by : Anatoliy Swishchuk

Download or read book Modeling And Pricing Of Swaps For Financial And Energy Markets With Stochastic Volatilities written by Anatoliy Swishchuk and published by World Scientific. This book was released on 2013-06-03 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Change of Time Methods in Quantitative Finance

Author : Anatoliy Swishchuk
Publisher : Springer
ISBN 13 : 331932408X
Total Pages : 140 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis Change of Time Methods in Quantitative Finance by : Anatoliy Swishchuk

Download or read book Change of Time Methods in Quantitative Finance written by Anatoliy Swishchuk and published by Springer. This book was released on 2016-05-31 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 in Energy Markets

Author : Anatoliy V. Swishchuk
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (137 download)

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Book Synopsis Variance and Volatility Swaps in Energy Markets by : Anatoliy V. Swishchuk

Download or read book Variance and Volatility Swaps in Energy Markets written by Anatoliy V. Swishchuk and published by . This book was released on 2010 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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).

Pricing Models of Volatility Products and Exotic Variance Derivatives

Author : Yue Kuen Kwok
Publisher : CRC Press
ISBN 13 : 1000584275
Total Pages : 402 pages
Book Rating : 4.0/5 (5 download)

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Book Synopsis Pricing Models of Volatility Products and Exotic Variance Derivatives by : Yue Kuen Kwok

Download or read book Pricing Models of Volatility Products and Exotic Variance Derivatives written by Yue Kuen Kwok and published by CRC Press. This book was released on 2022-05-08 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: Pricing Models of Volatility Products and Exotic Variance Derivatives summarizes most of the recent research results in pricing models of derivatives on discrete realized variance and VIX. The book begins with the presentation of volatility trading and uses of variance derivatives. It then moves on to discuss the robust replication strategy of variance swaps using portfolio of options, which is one of the major milestones in pricing theory of variance derivatives. The replication procedure provides the theoretical foundation of the construction of VIX. This book provides sound arguments for formulating the pricing models of variance derivatives and establishes formal proofs of various technical results. Illustrative numerical examples are included to show accuracy and effectiveness of analytic and approximation methods. Features Useful for practitioners and quants in the financial industry who need to make choices between various pricing models of variance derivatives Fabulous resource for researchers interested in pricing and hedging issues of variance derivatives and VIX products Can be used as a university textbook in a topic course on pricing variance derivatives

Swaps and Other Derivatives

Author : Richard R. Flavell
Publisher : John Wiley & Sons
ISBN 13 : 047072191X
Total Pages : 393 pages
Book Rating : 4.4/5 (77 download)

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Book Synopsis Swaps and Other Derivatives by : Richard R. Flavell

Download or read book Swaps and Other Derivatives written by Richard R. Flavell and published by John Wiley & Sons. This book was released on 2010-01-19 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Richard Flavell has a strong theoretical perspective on swaps with considerable practical experience in the actual trading of these instruments. This rare combination makes this welcome updated second edition a useful reference work for market practitioners." —Satyajit Das, author of Swaps and Financial Derivatives Library and Traders and Guns & Money: Knowns and Unknowns in the Dazzling World of Derivatives Fully revised and updated from the first edition, Swaps and Other Derivatives, Second Edition, provides a practical explanation of the pricing and evaluation of swaps and interest rate derivatives. Based on the author’s extensive experience in derivatives and risk management, working as a financial engineer, consultant and trainer for a wide range of institutions across the world this book discusses in detail how many of the wide range of swaps and other derivatives, such as yield curve, index amortisers, inflation-linked, cross-market, volatility, diff and quanto diffs, are priced and hedged. It also describes the modelling of interest rate curves, and the derivation of implied discount factors from both interest rate swap curves, and cross-currency adjusted curves. There are detailed sections on the risk management of swap and option portfolios using both traditional approaches and also Value-at-Risk. Techniques are provided for the construction of dynamic and robust hedges, using ideas drawn from mathematical programming. This second edition has expanded sections on the credit derivatives market – its mechanics, how credit default swaps may be priced and hedged, and how default probabilities may be derived from a market strip. It also prices complex swaps with embedded options, such as range accruals, Bermudan swaptions and target accrual redemption notes, by constructing detailed numerical models such as interest rate trees and LIBOR-based simulation. There is also increased discussion around the modelling of volatility smiles and surfaces. The book is accompanied by a CD-ROM where all the models are replicated, enabling readers to implement the models in practice with the minimum of effort.

Stochastic Modelling and Pricing of Electricity and Related Markets' Contracts with Local Stochastic Delayed and Jumped Volatilities

Download Stochastic Modelling and Pricing of Electricity and Related Markets' Contracts with Local Stochastic Delayed and Jumped Volatilities PDF Online Free

Author : Anatoliy V. Swishchuk
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (137 download)

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Book Synopsis Stochastic Modelling and Pricing of Electricity and Related Markets' Contracts with Local Stochastic Delayed and Jumped Volatilities by : Anatoliy V. Swishchuk

Download or read book Stochastic Modelling and Pricing of Electricity and Related Markets' Contracts with Local Stochastic Delayed and Jumped Volatilities written by Anatoliy V. Swishchuk and published by . This book was released on 2010 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper we study stochastic models for electricity, gas and temperature markets' contracts with delay and jumps. The basic products in these markets are spot, futures and forward contracts, swaps and options written on these. We concentrate our study on pricing of these kind of contracts. We also study optimal control of stochastic differential delay equations (SDDEs) with jumps and its applications in energy markets and economics.

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

Author : Anatoli? Vital?evich Svishchuk
Publisher : World Scientific
ISBN 13 : 9814440132
Total Pages : 326 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Modeling and Pricing of Swaps for Financial and Energy Markets with Stochastic Volatilities by : Anatoli? Vital?evich Svishchuk

Download or read book Modeling and Pricing of Swaps for Financial and Energy Markets with Stochastic Volatilities written by Anatoli? Vital?evich Svishchuk and published by World Scientific. This book was released on 2013 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Volatility Modeling in Equity and Energy Markets with Applications to Derivative Pricing, Hedging and Risk Management

Author : Ekaterina Ignatieva
Publisher :
ISBN 13 :
Total Pages : 168 pages
Book Rating : 4.:/5 (925 download)

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Book Synopsis Volatility Modeling in Equity and Energy Markets with Applications to Derivative Pricing, Hedging and Risk Management by : Ekaterina Ignatieva

Download or read book Volatility Modeling in Equity and Energy Markets with Applications to Derivative Pricing, Hedging and Risk Management written by Ekaterina Ignatieva and published by . This book was released on 2013 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Market Risk Analysis, Pricing, Hedging and Trading Financial Instruments

Author : Carol Alexander
Publisher : John Wiley & Sons
ISBN 13 : 0470997893
Total Pages : 427 pages
Book Rating : 4.4/5 (79 download)

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Book Synopsis Market Risk Analysis, Pricing, Hedging and Trading Financial Instruments by : Carol Alexander

Download or read book Market Risk Analysis, Pricing, Hedging and Trading Financial Instruments written by Carol Alexander and published by John Wiley & Sons. This book was released on 2008-06-09 with total page 427 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by leading market risk academic, Professor Carol Alexander, Pricing, Hedging and Trading Financial Instruments forms part three of the Market Risk Analysis four volume set. This book is an in-depth, practical and accessible guide to the models that are used for pricing and the strategies that are used for hedging financial instruments, and to the markets in which they trade. It provides a comprehensive, rigorous and accessible introduction to bonds, swaps, futures and forwards and options, including variance swaps, volatility indices and their futures and options, to stochastic volatility models and to modelling the implied and local volatility surfaces. All together, the Market Risk Analysis four volume set illustrates virtually every concept or formula with a practical, numerical example or a longer, empirical case study. Across all four volumes there are approximately 300 numerical and empirical examples, 400 graphs and figures and 30 case studies many of which are contained in interactive Excel spreadsheets available from the the accompanying CD-ROM . Empirical examples and case studies specific to this volume include: Duration-Convexity approximation to bond portfolios, and portfolio immunization; Pricing floaters and vanilla, basis and variance swaps; Coupon stripping and yield curve fitting; Proxy hedging, and hedging international securities and energy futures portfolios; Pricing models for European exotics, including barriers, Asians, look-backs, choosers, capped, contingent, power, quanto, compo, exchange, ‘best-of’ and spread options; Libor model calibration; Dynamic models for implied volatility based on principal component analysis; Calibration of stochastic volatility models (Matlab code); Simulations from stochastic volatility and jump models; Duration, PV01 and volatility invariant cash flow mappings; Delta-gamma-theta-vega mappings for options portfolios; Volatility beta mapping to volatility indices.

Variance and Volatility Swaps and Futures Pricing for Stochastic Volatility Models

Author : Anatoliy V. Swishchuk
Publisher :
ISBN 13 :
Total Pages : 26 pages
Book Rating : 4.:/5 (13 download)

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Book Synopsis Variance and Volatility Swaps and Futures Pricing for Stochastic Volatility Models by : Anatoliy V. Swishchuk

Download or read book Variance and Volatility Swaps and Futures Pricing for Stochastic Volatility Models written by Anatoliy V. Swishchuk and published by . This book was released on 2017 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Stochastic Volatility Models and Pricing of Financial Deriatives

Author : Yizhi Zhang
Publisher :
ISBN 13 :
Total Pages : 114 pages
Book Rating : 4.:/5 (665 download)

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Book Synopsis Stochastic Volatility Models and Pricing of Financial Deriatives by : Yizhi Zhang

Download or read book Stochastic Volatility Models and Pricing of Financial Deriatives written by Yizhi Zhang and published by . This book was released on 2010 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Stochastic Volatility Extensions of the Swap Market Model

Author : Milena Gueorguieva Tzigantcheva
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (39 download)

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Book Synopsis Stochastic Volatility Extensions of the Swap Market Model by : Milena Gueorguieva Tzigantcheva

Download or read book Stochastic Volatility Extensions of the Swap Market Model written by Milena Gueorguieva Tzigantcheva and published by . This book was released on 2008 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: ABSTRACT: Two stochastic volatility extensions of the Swap Market Model, one with jumps and the other without, are derived. In both stochastic volatility extensions of the Swap Market Model the instantaneous volatility of the forward swap rates evolves according to a square-root diffusion process. In the jump-diffusion stochastic volatility extension of the Swap Market Model, the proportional log-normal jumps are applied to the swap rate dynamics. The speed, the flexibility and the accuracy of the fast fractional Fourier transform made possible a fast calibration to European swaption market prices. A specific functional form of the instantaneous swap rate volatility structure was used to meet the observed evidence that volatility of the instantaneous swap rate decreases with longer swaption maturity and with larger swaption tenors.

Stochastic Volatility Models for the European Electricity Markets

Author : Per Bjarte Solibakke
Publisher :
ISBN 13 :
Total Pages : 52 pages
Book Rating : 4.:/5 (13 download)

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Book Synopsis Stochastic Volatility Models for the European Electricity Markets by : Per Bjarte Solibakke

Download or read book Stochastic Volatility Models for the European Electricity Markets written by Per Bjarte Solibakke and published by . This book was released on 2014 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper builds and implements a multifactor stochastic volatility model for the latent (and observable) volatility from the quarter and year forward contracts at the NASDAQ OMX Commodity Exchanges, applying Bayesian Markov chain Monte Carlo simulation methodologies for estimation, inference, and model adequacy assessment. Stochastic volatility is the main way time-varying volatility is modelled in financial markets. An appropriate scientific model description, specifying volatility as having its own stochastic process, broadens the applications into derivative pricing purposes, risk assessment and asset allocation and portfolio management. From an estimated optimal and appropriate stochastic volatility model, the paper reports risk and portfolio measures, extracts conditional one-step-ahead moments (smoothing), forecast one-step-ahead conditional volatility (filtering), evaluates shocks from conditional variance functions, analyses multi-step-ahead dynamics, and calculates conditional persistence measures. (Exotic) option prices can be calculated using the re-projected conditional volatility. Observed market prices and implied volatilities establish market risk premiums. The analysis adds insight and enables forecasts to be made, building up the methodology for developing valid scientific commodity market models.

Pricing Exotic Variance Swaps Under 3/2-Stochastic Volatility Models

Author : Chi Yuen
Publisher :
ISBN 13 :
Total Pages : 26 pages
Book Rating : 4.:/5 (13 download)

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Book Synopsis Pricing Exotic Variance Swaps Under 3/2-Stochastic Volatility Models by : Chi Yuen

Download or read book Pricing Exotic Variance Swaps Under 3/2-Stochastic Volatility Models written by Chi Yuen and published by . This book was released on 2015 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt: We consider pricing of various types of exotic discrete variance swaps, like the gamma swaps and corridor swaps, under the 3/2-stochastic volatility models with jumps. The class of stochastic volatility models (SVM) that use a constant-elasticity-of-variance (CEV) process for the instantaneous variance exhibit nice analytical tractability when the CEV parameter takes just a few special values (namely, 0, 1/2, 1 and 3/2). The popular Heston model corresponds to the choice of the CEV parameter to be 1/2. However, the stochastic volatility dynamics derived from the Heston model fails to agree with empirical findings from actual market data. The choice of 3/2 for the CEV parameter in the SVM shows better agreement with empirical studies while it maintains a good level of analytical tractability. By using the partial integro-differential equation formulation, we manage to derive quasi-closed form pricing formulas for the fair strike values of various types of discrete variance swaps. Pricing properties of these exotic discrete variance swaps under different market conditions are explored.

Market Risk Analysis, Pricing, Hedging and Trading Financial Instruments

Author : Carol Alexander
Publisher : Wiley
ISBN 13 : 9780470997895
Total Pages : 0 pages
Book Rating : 4.9/5 (978 download)

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Book Synopsis Market Risk Analysis, Pricing, Hedging and Trading Financial Instruments by : Carol Alexander

Download or read book Market Risk Analysis, Pricing, Hedging and Trading Financial Instruments written by Carol Alexander and published by Wiley. This book was released on 2008-06-09 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by leading market risk academic, Professor Carol Alexander, Pricing, Hedging and Trading Financial Instruments forms part three of the Market Risk Analysis four volume set. This book is an in-depth, practical and accessible guide to the models that are used for pricing and the strategies that are used for hedging financial instruments, and to the markets in which they trade. It provides a comprehensive, rigorous and accessible introduction to bonds, swaps, futures and forwards and options, including variance swaps, volatility indices and their futures and options, to stochastic volatility models and to modelling the implied and local volatility surfaces. All together, the Market Risk Analysis four volume set illustrates virtually every concept or formula with a practical, numerical example or a longer, empirical case study. Across all four volumes there are approximately 300 numerical and empirical examples, 400 graphs and figures and 30 case studies many of which are contained in interactive Excel spreadsheets available from the the accompanying CD-ROM . Empirical examples and case studies specific to this volume include: Duration-Convexity approximation to bond portfolios, and portfolio immunization; Pricing floaters and vanilla, basis and variance swaps; Coupon stripping and yield curve fitting; Proxy hedging, and hedging international securities and energy futures portfolios; Pricing models for European exotics, including barriers, Asians, look-backs, choosers, capped, contingent, power, quanto, compo, exchange, ‘best-of’ and spread options; Libor model calibration; Dynamic models for implied volatility based on principal component analysis; Calibration of stochastic volatility models (Matlab code); Simulations from stochastic volatility and jump models; Duration, PV01 and volatility invariant cash flow mappings; Delta-gamma-theta-vega mappings for options portfolios; Volatility beta mapping to volatility indices.

Pricing Variance and Volatility Swaps for Barndorff-Nielsen and Shephard Process Driven Financial Markets

Author : Semere Habtemicael
Publisher :
ISBN 13 :
Total Pages : 33 pages
Book Rating : 4.:/5 (13 download)

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Book Synopsis Pricing Variance and Volatility Swaps for Barndorff-Nielsen and Shephard Process Driven Financial Markets by : Semere Habtemicael

Download or read book Pricing Variance and Volatility Swaps for Barndorff-Nielsen and Shephard Process Driven Financial Markets written by Semere Habtemicael and published by . This book was released on 2016 with total page 33 pages. Available in PDF, EPUB and Kindle. Book excerpt: The objective of this paper is to study the arbitrage free pricing of variance and volatility swaps for Barndorff-Nielsen and Shephard type Lévy process driven financial markets. One of the major challenges in arbitrage free pricing of swap is to obtain an accurate pricing expression which can be used with good computational accuracy. In this paper we obtain various approximate expressions for the pricing of volatility and variance swaps. We show that with the approximate formulas obtained from the Barndorff-Nielsen and Shephard model the error estimation in fitting the delivery price is much less than the existing models with comparable parameters. Pricing formulas proposed in this paper are simple to compute in real time and hence can be efficiently used in practical applications. Numerical results are provided in support of the accuracy of approximate formulas presented in this paper.

Handbook Of Energy Finance: Theories, Practices And Simulations

Author : Stephane Goutte
Publisher : World Scientific
ISBN 13 : 9813278390
Total Pages : 827 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis Handbook Of Energy Finance: Theories, Practices And Simulations by : Stephane Goutte

Download or read book Handbook Of Energy Finance: Theories, Practices And Simulations written by Stephane Goutte and published by World Scientific. This book was released on 2020-01-30 with total page 827 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modeling the dynamics of energy markets has become a challenging task. The intensification of their financialization since 2004 had made them more complex but also more integrated with other tradable asset classes. More importantly, their large and frequent fluctuations in terms of both prices and volatility, particularly in the aftermath of the global financial crisis 2008-2009, posit difficulties for modeling and forecasting energy price behavior and are primary sources of concerns for macroeconomic stability and general economic performance.This handbook aims to advance the debate on the theories and practices of quantitative energy finance while shedding light on innovative results and technical methods applied to energy markets. Its primary focus is on the recent development and applications of mathematical and quantitative approaches for a better understanding of the stochastic processes that drive energy market movements. The handbook is designed for not only graduate students and researchers but also practitioners and policymakers.