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Stochastic models for prices dynamic...

Benth, Fred Espen.

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Stochastic models for prices dynamics in energy and commodity markets = an infinite-dimensional perspective /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Stochastic models for prices dynamics in energy and commodity markets/ by Fred Espen Benth, Paul Kruhner.
其他題名:	an infinite-dimensional perspective /
作者:	Benth, Fred Espen.
其他作者:	Kruhner, Paul.
出版者:	Cham :Springer International Publishing : : 2023.,
面頁冊數:	ix, 250 p. :illustrations, digital ;24 cm.
內容註:	1 Introduction -- Part I: Mathematical Tools -- 2 Lévy processes on Hilbert spaces -- 3 The Filipović space and operators -- 4 Stochastic integration and partial differential equations -- Part II: Modelling the Forward Price Dynamics and Derivatives Pricing -- 5 Spot models and forward pricing -- 6 Heath-Jarrow-Morton type models -- 7 Pricing of commodity and energy options -- Appendix A: Collection of some fundamental properties of the Filipović space.
Contained By:	Springer Nature eBook
標題:	Stochastic processes. -
電子資源:	https://doi.org/10.1007/978-3-031-40367-5
ISBN:	9783031403675

Stochastic models for prices dynamics in energy and commodity markets = an infinite-dimensional perspective /
Benth, Fred Espen.

Stochastic models for prices dynamics in energy and commodity marketsan infinite-dimensional perspective /[electronic resource] :by Fred Espen Benth, Paul Kruhner. - Cham :Springer International Publishing :2023. - ix, 250 p. :illustrations, digital ;24 cm. - Springer finance,2195-0687. - Springer finance..

1 Introduction -- Part I: Mathematical Tools -- 2 Lévy processes on Hilbert spaces -- 3 The Filipović space and operators -- 4 Stochastic integration and partial differential equations -- Part II: Modelling the Forward Price Dynamics and Derivatives Pricing -- 5 Spot models and forward pricing -- 6 Heath-Jarrow-Morton type models -- 7 Pricing of commodity and energy options -- Appendix A: Collection of some fundamental properties of the Filipović space.

This monograph presents a theory for random field models in time and space, viewed as stochastic processes with values in a Hilbert space, to model the stochastic dynamics of forward and futures prices in energy, power, and commodity markets. In this book, the well-known Heath-Jarrow-Morton approach from interest rate theory is adopted and extended into an infinite-dimensional framework, allowing for flexible modeling of price stochasticity across time and along the term structure curve. Various models are introduced based on stochastic partial differential equations with infinite-dimensional Lévy processes as noise drivers, emphasizing random fields described by low-dimensional parametric covariance functions instead of classical high-dimensional factor models. The Filipović space, a separable Hilbert space of Sobolev type, is found to be a convenient state space for the dynamics of forward and futures term structures. The monograph provides a classification of important operators in this space, covering covariance operators and the stochastic modeling of volatility term structures, including the Samuelson effect. Fourier methods are employed to price many derivatives of interest in energy, power, and commodity markets, and sensitivity 'delta' expressions can be derived. Additionally, the monograph covers forward curve smoothing, the connection between forwards with fixed delivery and delivery period, as well as the classical theory of forward and futures pricing. This monograph will appeal to researchers and graduate students interested in mathematical finance and stochastic analysis applied in the challenging markets of energy, power, and commodities. Practitioners seeking sophisticated yet flexible and analytically tractable risk models will also find it valuable.

ISBN: 9783031403675

Standard No.: 10.1007/978-3-031-40367-5doiSubjects--Topical Terms:

520663
Stochastic processes.

LC Class. No.: QA274

Dewey Class. No.: 519.23

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520 $a This monograph presents a theory for random field models in time and space, viewed as stochastic processes with values in a Hilbert space, to model the stochastic dynamics of forward and futures prices in energy, power, and commodity markets. In this book, the well-known Heath-Jarrow-Morton approach from interest rate theory is adopted and extended into an infinite-dimensional framework, allowing for flexible modeling of price stochasticity across time and along the term structure curve. Various models are introduced based on stochastic partial differential equations with infinite-dimensional Lévy processes as noise drivers, emphasizing random fields described by low-dimensional parametric covariance functions instead of classical high-dimensional factor models. The Filipović space, a separable Hilbert space of Sobolev type, is found to be a convenient state space for the dynamics of forward and futures term structures. The monograph provides a classification of important operators in this space, covering covariance operators and the stochastic modeling of volatility term structures, including the Samuelson effect. Fourier methods are employed to price many derivatives of interest in energy, power, and commodity markets, and sensitivity 'delta' expressions can be derived. Additionally, the monograph covers forward curve smoothing, the connection between forwards with fixed delivery and delivery period, as well as the classical theory of forward and futures pricing. This monograph will appeal to researchers and graduate students interested in mathematical finance and stochastic analysis applied in the challenging markets of energy, power, and commodities. Practitioners seeking sophisticated yet flexible and analytically tractable risk models will also find it valuable.
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