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...
Main Authors: | , |
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Format: | Article |
Language: | English |
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MDPI AG
2015-12-01
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Series: | Risks |
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Online Access: | http://www.mdpi.com/2227-9091/3/4/624 |
_version_ | 1818515935108005888 |
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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. |
first_indexed | 2024-12-11T00:35:24Z |
format | Article |
id | doaj.art-5a165505f5484b4893abb6a00f551d33 |
institution | Directory Open Access Journal |
issn | 2227-9091 |
language | English |
last_indexed | 2024-12-11T00:35:24Z |
publishDate | 2015-12-01 |
publisher | MDPI AG |
record_format | Article |
series | Risks |
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 |