Optimal retention point estimation in high cost diseases reinsurance

In this Master’s degree project, is develops the actuarial valuation methodology of Stop-Loss reinsurance, in order to provide a solution to the problem of calculating the optimal retention point and reinsurance premium, which must have the prepaid medicine companies to cover those high cost procedu...

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Autores:
Pérez García, Jorge Iván
Tipo de recurso:
Fecha de publicación:
2019
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/76641
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/76641
http://bdigital.unal.edu.co/73248/
Palabra clave:
Heavy Tail Distributions
Poisson Mixtures
Spliced Distributions
GAMLSS Distributions
High Cost Diseases
Prepaid Medicine
Stop-Loss Reinsurance
Extreme Values
Optimal Retention Point
Distribuciones de Cola Pesada
Mezclas Poisson
Distribuciones Spliced
Distribuciones GAMLSS
Enfermedades de Alto Costo
Medicina Prepagada
Reaseguro de Excedente de Pérdida
Punto de Retención Óptimo
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
id UNACIONAL2_26bbdf48a023a42e063c0597255dd3d9
oai_identifier_str oai:repositorio.unal.edu.co:unal/76641
network_acronym_str UNACIONAL2
network_name_str Universidad Nacional de Colombia
repository_id_str
dc.title.spa.fl_str_mv Optimal retention point estimation in high cost diseases reinsurance
title Optimal retention point estimation in high cost diseases reinsurance
spellingShingle Optimal retention point estimation in high cost diseases reinsurance
Heavy Tail Distributions
Poisson Mixtures
Spliced Distributions
GAMLSS Distributions
High Cost Diseases
Prepaid Medicine
Stop-Loss Reinsurance
Extreme Values
Optimal Retention Point
Distribuciones de Cola Pesada
Mezclas Poisson
Distribuciones Spliced
Distribuciones GAMLSS
Enfermedades de Alto Costo
Medicina Prepagada
Reaseguro de Excedente de Pérdida
Punto de Retención Óptimo
title_short Optimal retention point estimation in high cost diseases reinsurance
title_full Optimal retention point estimation in high cost diseases reinsurance
title_fullStr Optimal retention point estimation in high cost diseases reinsurance
title_full_unstemmed Optimal retention point estimation in high cost diseases reinsurance
title_sort Optimal retention point estimation in high cost diseases reinsurance
dc.creator.fl_str_mv Pérez García, Jorge Iván
dc.contributor.author.spa.fl_str_mv Pérez García, Jorge Iván
dc.contributor.spa.fl_str_mv Giraldo Gómez, Norman Diego
dc.subject.proposal.spa.fl_str_mv Heavy Tail Distributions
Poisson Mixtures
Spliced Distributions
GAMLSS Distributions
High Cost Diseases
Prepaid Medicine
Stop-Loss Reinsurance
Extreme Values
Optimal Retention Point
Distribuciones de Cola Pesada
Mezclas Poisson
Distribuciones Spliced
Distribuciones GAMLSS
Enfermedades de Alto Costo
Medicina Prepagada
Reaseguro de Excedente de Pérdida
Punto de Retención Óptimo
topic Heavy Tail Distributions
Poisson Mixtures
Spliced Distributions
GAMLSS Distributions
High Cost Diseases
Prepaid Medicine
Stop-Loss Reinsurance
Extreme Values
Optimal Retention Point
Distribuciones de Cola Pesada
Mezclas Poisson
Distribuciones Spliced
Distribuciones GAMLSS
Enfermedades de Alto Costo
Medicina Prepagada
Reaseguro de Excedente de Pérdida
Punto de Retención Óptimo
description In this Master’s degree project, is develops the actuarial valuation methodology of Stop-Loss reinsurance, in order to provide a solution to the problem of calculating the optimal retention point and reinsurance premium, which must have the prepaid medicine companies to cover those high cost procedures that affect their financial health. It should be noted that, for the application of this methodology, we only use the adjustment of the number and claims size, in consequence, no considerations are made about the solvency or probability of ruin of the health-services provider companies. Despite that reinsurance in prepaid medicine is contemplated in Law 100/93, there are relatively few studies that have been carried out on this subject, and even fewer, the studies carried out from the statistical point of view. For this reason, we implement the methodology Single Loss Approximation (SLA) to estimate the optimal retention point and reinsurance premium, for different levels of relative safety factor, seeking to incorporate recent developments and some alternatives in the adjustment processes.
publishDate 2019
dc.date.issued.spa.fl_str_mv 2019-08-20
dc.date.accessioned.spa.fl_str_mv 2020-03-30T06:23:58Z
dc.date.available.spa.fl_str_mv 2020-03-30T06:23:58Z
dc.type.spa.fl_str_mv Trabajo de grado - Maestría
dc.type.driver.spa.fl_str_mv info:eu-repo/semantics/masterThesis
dc.type.version.spa.fl_str_mv info:eu-repo/semantics/acceptedVersion
dc.type.content.spa.fl_str_mv Text
dc.type.redcol.spa.fl_str_mv http://purl.org/redcol/resource_type/TM
status_str acceptedVersion
dc.identifier.uri.none.fl_str_mv https://repositorio.unal.edu.co/handle/unal/76641
dc.identifier.eprints.spa.fl_str_mv http://bdigital.unal.edu.co/73248/
url https://repositorio.unal.edu.co/handle/unal/76641
http://bdigital.unal.edu.co/73248/
dc.language.iso.spa.fl_str_mv spa
language spa
dc.relation.ispartof.spa.fl_str_mv Universidad Nacional de Colombia Sede Medellín Facultad de Ciencias Escuela de Estadística
Escuela de Estadística
dc.relation.haspart.spa.fl_str_mv 51 Matemáticas / Mathematics
dc.relation.references.spa.fl_str_mv Pérez García, Jorge Iván (2019) Optimal retention point estimation in high cost diseases reinsurance. Maestría thesis, Universidad Nacional de Colombia - Sede Medellín.
dc.rights.spa.fl_str_mv Derechos reservados - Universidad Nacional de Colombia
dc.rights.coar.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.rights.license.spa.fl_str_mv Atribución-NoComercial 4.0 Internacional
dc.rights.uri.spa.fl_str_mv http://creativecommons.org/licenses/by-nc/4.0/
dc.rights.accessrights.spa.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv Atribución-NoComercial 4.0 Internacional
Derechos reservados - Universidad Nacional de Colombia
http://creativecommons.org/licenses/by-nc/4.0/
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.mimetype.spa.fl_str_mv application/pdf
institution Universidad Nacional de Colombia
bitstream.url.fl_str_mv https://repositorio.unal.edu.co/bitstream/unal/76641/1/1036631658.2019.pdf
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repository.name.fl_str_mv Repositorio Institucional Universidad Nacional de Colombia
repository.mail.fl_str_mv repositorio_nal@unal.edu.co
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spelling Atribución-NoComercial 4.0 InternacionalDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Giraldo Gómez, Norman DiegoPérez García, Jorge Iván58f93ed6-e361-4153-bc89-e2ab104fef223002020-03-30T06:23:58Z2020-03-30T06:23:58Z2019-08-20https://repositorio.unal.edu.co/handle/unal/76641http://bdigital.unal.edu.co/73248/In this Master’s degree project, is develops the actuarial valuation methodology of Stop-Loss reinsurance, in order to provide a solution to the problem of calculating the optimal retention point and reinsurance premium, which must have the prepaid medicine companies to cover those high cost procedures that affect their financial health. It should be noted that, for the application of this methodology, we only use the adjustment of the number and claims size, in consequence, no considerations are made about the solvency or probability of ruin of the health-services provider companies. Despite that reinsurance in prepaid medicine is contemplated in Law 100/93, there are relatively few studies that have been carried out on this subject, and even fewer, the studies carried out from the statistical point of view. For this reason, we implement the methodology Single Loss Approximation (SLA) to estimate the optimal retention point and reinsurance premium, for different levels of relative safety factor, seeking to incorporate recent developments and some alternatives in the adjustment processes.Resumen: En este trabajo final de Maestría, se desarrolla de la metodología de valoración actuarial de reaseguro de excedente de pérdida (Stop-Loss), con el fin de darle solución al problema del cálculo del punto de retención óptimo y prima de reaseguro, que deben tener las compañías de medicina prepagada para cubrir aquellos procedimientos alto costo que afecten su salud financiera. Es de anotar que, para la aplicación de esta metodología, se emplea únicamente el ajuste del número y tamaño de las reclamaciones, y en consecuencia, no se hacen consideraciones sobre la solvencia o probabilidad de ruina de las empresas prestadoras de servicios de salud. A pesar de que los reaseguros en medicina prepagada están contemplados en la Ley 100/93, son relativamente pocos los estudios que se han realizado sobre este tema, y aún más pocos, los estudios realizados desde el punto de vista estadístico. Por este motivo, se implementa la metodología Single Loss Approximation (SLA) para la estimación del punto de retención óptimo y la prima de reaseguro, para diferentes niveles de factor de seguridad relativa, buscando incorporar desarrollos recientes y algunas alternativas en los procesos de ajuste.Maestríaapplication/pdfspaUniversidad Nacional de Colombia Sede Medellín Facultad de Ciencias Escuela de EstadísticaEscuela de Estadística51 Matemáticas / MathematicsPérez García, Jorge Iván (2019) Optimal retention point estimation in high cost diseases reinsurance. Maestría thesis, Universidad Nacional de Colombia - Sede Medellín.Optimal retention point estimation in high cost diseases reinsuranceTrabajo de grado - Maestríainfo:eu-repo/semantics/masterThesisinfo:eu-repo/semantics/acceptedVersionTexthttp://purl.org/redcol/resource_type/TMHeavy Tail DistributionsPoisson MixturesSpliced DistributionsGAMLSS DistributionsHigh Cost DiseasesPrepaid MedicineStop-Loss ReinsuranceExtreme ValuesOptimal Retention PointDistribuciones de Cola PesadaMezclas PoissonDistribuciones SplicedDistribuciones GAMLSSEnfermedades de Alto CostoMedicina PrepagadaReaseguro de Excedente de PérdidaPunto de Retención ÓptimoORIGINAL1036631658.2019.pdfTesis de Maestría en Ciencias - Estadísticaapplication/pdf3338039https://repositorio.unal.edu.co/bitstream/unal/76641/1/1036631658.2019.pdf04d09891263de986368dc2571f173549MD51THUMBNAIL1036631658.2019.pdf.jpg1036631658.2019.pdf.jpgGenerated Thumbnailimage/jpeg4954https://repositorio.unal.edu.co/bitstream/unal/76641/2/1036631658.2019.pdf.jpgdf4b07d967dd211283e790a9246f6ae4MD52unal/76641oai:repositorio.unal.edu.co:unal/766412023-07-15 23:03:34.05Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co