Optimal Static Hedging of Energy Price and Volume Risk: Closed-Form Results

As an extension of the VaR-constrained hedging, we propose a closed-form solution to the problem of optimizing portfolios, based on price and weather. For electric power companies, price and quantity are volatile, and in hydro-electricity generation quantity can be related to weather conditions. An...

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Autores:
Pantoja, Javier
Roncoroni, Andrea
Id Brik, Rachid
Tipo de recurso:
Fecha de publicación:
2012
Institución:
Universidad EAFIT
Repositorio:
Repositorio EAFIT
Idioma:
eng
OAI Identifier:
oai:repository.eafit.edu.co:10784/673
Acceso en línea:
http://hdl.handle.net/10784/673
Palabra clave:
Static Hedging
Energy Risk Mitigation
Volumetric Hedging
Incomplete Markets
Rights
License
Acceso abierto
id REPOEAFIT2_55f0c9709d43e2f4ec6f555bd4507a26
oai_identifier_str oai:repository.eafit.edu.co:10784/673
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dc.title.eng.fl_str_mv Optimal Static Hedging of Energy Price and Volume Risk: Closed-Form Results
title Optimal Static Hedging of Energy Price and Volume Risk: Closed-Form Results
spellingShingle Optimal Static Hedging of Energy Price and Volume Risk: Closed-Form Results
Static Hedging
Energy Risk Mitigation
Volumetric Hedging
Incomplete Markets
title_short Optimal Static Hedging of Energy Price and Volume Risk: Closed-Form Results
title_full Optimal Static Hedging of Energy Price and Volume Risk: Closed-Form Results
title_fullStr Optimal Static Hedging of Energy Price and Volume Risk: Closed-Form Results
title_full_unstemmed Optimal Static Hedging of Energy Price and Volume Risk: Closed-Form Results
title_sort Optimal Static Hedging of Energy Price and Volume Risk: Closed-Form Results
dc.creator.fl_str_mv Pantoja, Javier
Roncoroni, Andrea
Id Brik, Rachid
dc.contributor.author.none.fl_str_mv Pantoja, Javier
Roncoroni, Andrea
Id Brik, Rachid
dc.subject.keyword.eng.fl_str_mv Static Hedging
Energy Risk Mitigation
Volumetric Hedging
Incomplete Markets
topic Static Hedging
Energy Risk Mitigation
Volumetric Hedging
Incomplete Markets
description As an extension of the VaR-constrained hedging, we propose a closed-form solution to the problem of optimizing portfolios, based on price and weather. For electric power companies, price and quantity are volatile, and in hydro-electricity generation quantity can be related to weather conditions. An optimum portfolio is derived from expected utility maximization problem, including weather indices to minimize losses. Due to electric power features, agents in this market are facing price and volume risks, the difficulty to storage efficiently electric power cannot permit to mitigate volumetric risk and alternatively weather instruments can be used in order to hedge unexpected changes in weather; the purpose of weather derivatives is to smooth out the temporal fluctuations in the company’s revenues. For electric power companies price and quantity are volatile, and quantity is correlated to the weather conditions. Moreover, exposures to price and volume risks make necessary the inclusion of the weather pay-off. Thus, we derive the optimal portfolio from the expected utility maximization problem including electric power and weather derivatives whose payoffs will minimize losses.
publishDate 2012
dc.date.issued.none.fl_str_mv 2012-12-15
dc.date.available.none.fl_str_mv 2013-03-21T20:32:57Z
dc.date.accessioned.none.fl_str_mv 2013-03-21T20:32:57Z
dc.type.eng.fl_str_mv workingPaper
info:eu-repo/semantics/workingPaper
dc.type.coarversion.fl_str_mv http://purl.org/coar/version/c_b1a7d7d4d402bcce
dc.type.coar.fl_str_mv http://purl.org/coar/resource_type/c_8042
dc.type.local.spa.fl_str_mv Documento de trabajo de investigación
dc.type.hasVersion.eng.fl_str_mv draft
dc.identifier.uri.none.fl_str_mv http://hdl.handle.net/10784/673
dc.identifier.jel.none.fl_str_mv G0
G13
C32
url http://hdl.handle.net/10784/673
identifier_str_mv G0
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dc.language.iso.eng.fl_str_mv eng
language eng
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dc.rights.local.spa.fl_str_mv Acceso abierto
rights_invalid_str_mv Acceso abierto
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dc.coverage.spatial.eng.fl_str_mv Medellín de: Lat: 06 15 00 N degrees minutes Lat: 6.2500 decimal degrees Long: 075 36 00 W degrees minutes Long: -75.6000 decimal degrees
dc.publisher.spa.fl_str_mv Universidad EAFIT
dc.publisher.department.spa.fl_str_mv Escuela de Economía y Finanzas
institution Universidad EAFIT
bitstream.url.fl_str_mv https://repository.eafit.edu.co/bitstreams/cd16c505-b80b-4fea-9a6a-79708b2c10b5/download
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repository.name.fl_str_mv Repositorio Institucional Universidad EAFIT
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spelling Medellín de: Lat: 06 15 00 N degrees minutes Lat: 6.2500 decimal degrees Long: 075 36 00 W degrees minutes Long: -75.6000 decimal degrees2013-03-21T20:32:57Z2012-12-152013-03-21T20:32:57Zhttp://hdl.handle.net/10784/673G0G13C32As an extension of the VaR-constrained hedging, we propose a closed-form solution to the problem of optimizing portfolios, based on price and weather. For electric power companies, price and quantity are volatile, and in hydro-electricity generation quantity can be related to weather conditions. An optimum portfolio is derived from expected utility maximization problem, including weather indices to minimize losses. Due to electric power features, agents in this market are facing price and volume risks, the difficulty to storage efficiently electric power cannot permit to mitigate volumetric risk and alternatively weather instruments can be used in order to hedge unexpected changes in weather; the purpose of weather derivatives is to smooth out the temporal fluctuations in the company’s revenues. For electric power companies price and quantity are volatile, and quantity is correlated to the weather conditions. Moreover, exposures to price and volume risks make necessary the inclusion of the weather pay-off. Thus, we derive the optimal portfolio from the expected utility maximization problem including electric power and weather derivatives whose payoffs will minimize losses.engUniversidad EAFITEscuela de Economía y FinanzasOptimal Static Hedging of Energy Price and Volume Risk: Closed-Form ResultsworkingPaperinfo:eu-repo/semantics/workingPaperDocumento de trabajo de investigacióndrafthttp://purl.org/coar/version/c_b1a7d7d4d402bccehttp://purl.org/coar/resource_type/c_8042Acceso abiertohttp://purl.org/coar/access_right/c_abf2Static HedgingEnergy Risk MitigationVolumetric HedgingIncomplete MarketsPantoja, JavierRoncoroni, AndreaId Brik, Rachidjpantoja@eafit.edu.coroncoroni@gmail.comrachid.idbrik@gmail.comLICENSElicense.txtlicense.txttext/plain; charset=utf-81748https://repository.eafit.edu.co/bitstreams/cd16c505-b80b-4fea-9a6a-79708b2c10b5/download8a4605be74aa9ea9d79846c1fba20a33MD52ORIGINAL2012_18_Javier_Pantoja.pdf2012_18_Javier_Pantoja.pdfDocumento de trabajo de investigaciónapplication/pdf3122763https://repository.eafit.edu.co/bitstreams/80300ed4-51e5-404d-9600-a53ab29548e5/download84bf1fc07e75d213c7bf4a42d9910536MD5310784/673oai:repository.eafit.edu.co:10784/6732024-03-05 14:06:35.57open.accesshttps://repository.eafit.edu.coRepositorio Institucional Universidad EAFITrepositorio@eafit.edu.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