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...
- 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
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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 G13 C32 |
dc.language.iso.eng.fl_str_mv |
eng |
language |
eng |
dc.rights.coar.fl_str_mv |
http://purl.org/coar/access_right/c_abf2 |
dc.rights.local.spa.fl_str_mv |
Acceso abierto |
rights_invalid_str_mv |
Acceso abierto http://purl.org/coar/access_right/c_abf2 |
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 https://repository.eafit.edu.co/bitstreams/80300ed4-51e5-404d-9600-a53ab29548e5/download |
bitstream.checksum.fl_str_mv |
8a4605be74aa9ea9d79846c1fba20a33 84bf1fc07e75d213c7bf4a42d9910536 |
bitstream.checksumAlgorithm.fl_str_mv |
MD5 MD5 |
repository.name.fl_str_mv |
Repositorio Institucional Universidad EAFIT |
repository.mail.fl_str_mv |
repositorio@eafit.edu.co |
_version_ |
1818102435900555264 |
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, Javier7e53a9f0-e6a2-4bd2-a7c3-6fbf0f2fdfc8-1Roncoroni, Andrea863566f9-af94-4865-808c-ee0427171879-1Id Brik, Rachid7442dd60-65ea-47e8-9fcc-eafc170540e4-1jpantoja@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:10784/6732024-12-04 11:50:12.423open.accesshttps://repository.eafit.edu.coRepositorio Institucional Universidad EAFITrepositorio@eafit.edu.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 |