AGGREGATERISKMODEL:PREDICTION, ACCURACY,ALLOCATIONMETHODS, AND ITSAPPLICATIONTOPROPORTIONAL REINSURANCE MODEL
Aggregate riskisoneoftheinterestingstudiesinactuarialmodelling.In particular, thestudyoftheindividualriskdependencyanditseectonthe distribution functionanddensityfunctionofaggregaterisk.Individualrisk dependencymakesusualdicultyinndingtheexactformofdistribution function. CopulaFGMmethodisoneofth...
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id-itb.:478182020-06-22T08:59:08ZAGGREGATERISKMODEL:PREDICTION, ACCURACY,ALLOCATIONMETHODS, AND ITSAPPLICATIONTOPROPORTIONAL REINSURANCE MODEL Fathiyah Addini, Fida Indonesia Theses translatedgammaapproximation,FGMCopula,MCVaR,riskallo- cation method,Eulerallocation,proportionalreinsurancemodel. INSTITUT TEKNOLOGI BANDUNG https://digilib.itb.ac.id/gdl/view/47818 Aggregate riskisoneoftheinterestingstudiesinactuarialmodelling.In particular, thestudyoftheindividualriskdependencyanditseectonthe distribution functionanddensityfunctionofaggregaterisk.Individualrisk dependencymakesusualdicultyinndingtheexactformofdistribution function. CopulaFGMmethodisoneofthemethodtodeterminetheaggre- gate riskdistributionfunction.Inaddition,whenindividualrisksarenon- negative,analternativemethodoftranslatedgammaapproximationcanalso beused.Basedontheaggregateriskdistributionfunction,theriskvaluecan bepredictedusingariskmeasure.Value-at-Risk(VaR)anditsextensions, Conditional-VaR(CVaR)andModied-CVaR(MCVaR),areexamplesofrisk measures. Theaccuracyofeachriskmeasurecanbepredictedusingcoverage probability.Inaggregaterisk,theriskmeasureisaectedbyeachindividual risk. Thiseectisanindividualriskcontributiontotheaggregateriskmea- sure. Thecontributionofindividualrisks,whichdependsonthedistribution of eachindividualrisk,canbepredictedusingtheaggregateriskallocation method.Thesumofeachpredictionofindividualriskcontributionequals the aggregateriskmeasure.TheproportionalallocationmethodandtheEu- ler allocationmethodarecommonlyusedmethodsforcalculatingaggregate risk allocation.Furthermore,themagnitudeofrisksharingbetweeninsuran- ce companiesandreinsurancecompaniesinthereinsurancemodellingcanbe seen asanaggregateriskallocation.Sotheaggregateriskallocationmethod is appliedtooneofthereinsurancemodels,theproportional(Quota-Share) reinsurance model. text |
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Aggregate riskisoneoftheinterestingstudiesinactuarialmodelling.In
particular, thestudyoftheindividualriskdependencyanditseectonthe
distribution functionanddensityfunctionofaggregaterisk.Individualrisk
dependencymakesusualdicultyinndingtheexactformofdistribution
function. CopulaFGMmethodisoneofthemethodtodeterminetheaggre-
gate riskdistributionfunction.Inaddition,whenindividualrisksarenon-
negative,analternativemethodoftranslatedgammaapproximationcanalso
beused.Basedontheaggregateriskdistributionfunction,theriskvaluecan
bepredictedusingariskmeasure.Value-at-Risk(VaR)anditsextensions,
Conditional-VaR(CVaR)andModied-CVaR(MCVaR),areexamplesofrisk
measures. Theaccuracyofeachriskmeasurecanbepredictedusingcoverage
probability.Inaggregaterisk,theriskmeasureisaectedbyeachindividual
risk. Thiseectisanindividualriskcontributiontotheaggregateriskmea-
sure. Thecontributionofindividualrisks,whichdependsonthedistribution
of eachindividualrisk,canbepredictedusingtheaggregateriskallocation
method.Thesumofeachpredictionofindividualriskcontributionequals
the aggregateriskmeasure.TheproportionalallocationmethodandtheEu-
ler allocationmethodarecommonlyusedmethodsforcalculatingaggregate
risk allocation.Furthermore,themagnitudeofrisksharingbetweeninsuran-
ce companiesandreinsurancecompaniesinthereinsurancemodellingcanbe
seen asanaggregateriskallocation.Sotheaggregateriskallocationmethod
is appliedtooneofthereinsurancemodels,theproportional(Quota-Share)
reinsurance model. |
format |
Theses |
author |
Fathiyah Addini, Fida |
spellingShingle |
Fathiyah Addini, Fida AGGREGATERISKMODEL:PREDICTION, ACCURACY,ALLOCATIONMETHODS, AND ITSAPPLICATIONTOPROPORTIONAL REINSURANCE MODEL |
author_facet |
Fathiyah Addini, Fida |
author_sort |
Fathiyah Addini, Fida |
title |
AGGREGATERISKMODEL:PREDICTION, ACCURACY,ALLOCATIONMETHODS, AND ITSAPPLICATIONTOPROPORTIONAL REINSURANCE MODEL |
title_short |
AGGREGATERISKMODEL:PREDICTION, ACCURACY,ALLOCATIONMETHODS, AND ITSAPPLICATIONTOPROPORTIONAL REINSURANCE MODEL |
title_full |
AGGREGATERISKMODEL:PREDICTION, ACCURACY,ALLOCATIONMETHODS, AND ITSAPPLICATIONTOPROPORTIONAL REINSURANCE MODEL |
title_fullStr |
AGGREGATERISKMODEL:PREDICTION, ACCURACY,ALLOCATIONMETHODS, AND ITSAPPLICATIONTOPROPORTIONAL REINSURANCE MODEL |
title_full_unstemmed |
AGGREGATERISKMODEL:PREDICTION, ACCURACY,ALLOCATIONMETHODS, AND ITSAPPLICATIONTOPROPORTIONAL REINSURANCE MODEL |
title_sort |
aggregateriskmodel:prediction, accuracy,allocationmethods, and itsapplicationtoproportional reinsurance model |
url |
https://digilib.itb.ac.id/gdl/view/47818 |
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