Modified Munich Chain-Ladder Method

The Munich chain-ladder method for claims reserving was introduced by Quarg and Mack on an axiomatic basis. We analyze these axioms, and we define a modified Munich chain-ladder method which is based on an explicit stochastic model. This stochastic model then allows us to consider claims prediction...

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Main Authors: Michael Merz, Mario V. Wüthrich
Format: Article
Language:English
Published: MDPI AG 2015-12-01
Series:Risks
Subjects:
Online Access:http://www.mdpi.com/2227-9091/3/4/624
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author Michael Merz
Mario V. Wüthrich
author_facet Michael Merz
Mario V. Wüthrich
author_sort Michael Merz
collection DOAJ
description The Munich chain-ladder method for claims reserving was introduced by Quarg and Mack on an axiomatic basis. We analyze these axioms, and we define a modified Munich chain-ladder method which is based on an explicit stochastic model. This stochastic model then allows us to consider claims prediction and prediction uncertainty for the Munich chain-ladder method in a consistent way.
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spelling doaj.art-5a165505f5484b4893abb6a00f551d332022-12-22T01:27:12ZengMDPI AGRisks2227-90912015-12-013462464610.3390/risks3040624risks3040624Modified Munich Chain-Ladder MethodMichael Merz0Mario V. Wüthrich1Faculty of Business Administration, University of Hamburg, 20146 Hamburg, GermanyETH Zurich, RiskLab, Department of Mathematics, 8092 Zurich, SwitzerlandThe Munich chain-ladder method for claims reserving was introduced by Quarg and Mack on an axiomatic basis. We analyze these axioms, and we define a modified Munich chain-ladder method which is based on an explicit stochastic model. This stochastic model then allows us to consider claims prediction and prediction uncertainty for the Munich chain-ladder method in a consistent way.http://www.mdpi.com/2227-9091/3/4/624Munich chain-ladder methodclaims reservingprediction uncertaintymean-square error of predictionmultivariate Gaussian modelpaid and incurred claims
spellingShingle Michael Merz
Mario V. Wüthrich
Modified Munich Chain-Ladder Method
Risks
Munich chain-ladder method
claims reserving
prediction uncertainty
mean-square error of prediction
multivariate Gaussian model
paid and incurred claims
title Modified Munich Chain-Ladder Method
title_full Modified Munich Chain-Ladder Method
title_fullStr Modified Munich Chain-Ladder Method
title_full_unstemmed Modified Munich Chain-Ladder Method
title_short Modified Munich Chain-Ladder Method
title_sort modified munich chain ladder method
topic Munich chain-ladder method
claims reserving
prediction uncertainty
mean-square error of prediction
multivariate Gaussian model
paid and incurred claims
url http://www.mdpi.com/2227-9091/3/4/624
work_keys_str_mv AT michaelmerz modifiedmunichchainladdermethod
AT mariovwuthrich modifiedmunichchainladdermethod