library(ChainLadder)
##
## Welcome to ChainLadder version 0.2.17
## To cite package 'ChainLadder' in publications use:
##
## Gesmann M, Murphy D, Zhang Y, Carrato A, Wuthrich M, Concina F, Dal
## Moro E (2023). _ChainLadder: Statistical Methods and Models for
## Claims Reserving in General Insurance_. R package version 0.2.17,
## <https://CRAN.R-project.org/package=ChainLadder>.
##
## To suppress this message use:
## suppressPackageStartupMessages(library(ChainLadder))
RAA
## dev
## origin 1 2 3 4 5 6 7 8 9 10
## 1981 5012 8269 10907 11805 13539 16181 18009 18608 18662 18834
## 1982 106 4285 5396 10666 13782 15599 15496 16169 16704 NA
## 1983 3410 8992 13873 16141 18735 22214 22863 23466 NA NA
## 1984 5655 11555 15766 21266 23425 26083 27067 NA NA NA
## 1985 1092 9565 15836 22169 25955 26180 NA NA NA NA
## 1986 1513 6445 11702 12935 15852 NA NA NA NA NA
## 1987 557 4020 10946 12314 NA NA NA NA NA NA
## 1988 1351 6947 13112 NA NA NA NA NA NA NA
## 1989 3133 5395 NA NA NA NA NA NA NA NA
## 1990 2063 NA NA NA NA NA NA NA NA NA
## MackChainLadder(Triangle = RAA, est.sigma = "Mack")
##
## Latest Dev.To.Date Ultimate IBNR Mack.S.E CV(IBNR)
## 1981 18,834 1.000 18,834 0 0 NaN
## 1982 16,704 0.991 16,858 154 206 1.339
## 1983 23,466 0.974 24,083 617 623 1.010
## 1984 27,067 0.943 28,703 1,636 747 0.457
## 1985 26,180 0.905 28,927 2,747 1,469 0.535
## 1986 15,852 0.813 19,501 3,649 2,002 0.549
## 1987 12,314 0.694 17,749 5,435 2,209 0.406
## 1988 13,112 0.546 24,019 10,907 5,358 0.491
## 1989 5,395 0.336 16,045 10,650 6,333 0.595
## 1990 2,063 0.112 18,402 16,339 24,566 1.503
##
## Totals
## Latest: 160,987.00
## Dev: 0.76
## Ultimate: 213,122.23
## IBNR: 52,135.23
## Mack.S.E 26,909.01
## CV(IBNR): 0.52
## BootChainLadder(Triangle = RAA, R = 999, process.distr = "gamma")
##
## Latest Mean Ultimate Mean IBNR IBNR.S.E IBNR 75% IBNR 95%
## 1981 18,834 18,834 0 0 0 0
## 1982 16,704 16,867 163 755 170 1,443
## 1983 23,466 24,140 674 1,264 1,122 3,114
## 1984 27,067 28,816 1,749 1,932 2,829 5,234
## 1985 26,180 29,037 2,857 2,334 4,083 6,956
## 1986 15,852 19,656 3,804 2,485 5,193 8,285
## 1987 12,314 17,808 5,494 3,103 7,480 11,126
## 1988 13,112 24,079 10,967 5,016 13,881 19,954
## 1989 5,395 16,298 10,903 6,047 14,800 21,657
## 1990 2,063 19,887 17,824 14,326 25,742 44,716
##
## Totals
## Latest: 160,987
## Mean Ultimate: 215,423
## Mean IBNR: 54,436
## IBNR.S.E 19,222
## Total IBNR 75%: 65,474
## Total IBNR 95%: 90,344
## BootChainLadder(Triangle = RAA, R = 999, process.distr = "gamma")
##
## Latest Mean Ultimate Mean IBNR IBNR.S.E IBNR 75% IBNR 95%
## 1981 18,834 18,834 0 0 0 0
## 1982 16,704 16,842 138 717 160 1,368
## 1983 23,466 24,179 713 1,383 1,172 3,437
## 1984 27,067 28,820 1,753 1,856 2,733 5,260
## 1985 26,180 28,914 2,734 2,336 3,906 7,030
## 1986 15,852 19,581 3,729 2,445 5,133 8,239
## 1987 12,314 17,901 5,587 3,194 7,355 11,694
## 1988 13,112 24,373 11,261 5,038 14,207 20,420
## 1989 5,395 16,245 10,850 5,919 14,431 21,266
## 1990 2,063 18,505 16,442 13,576 24,206 42,523
##
## Totals
## Latest: 160,987
## Mean Ultimate: 214,194
## Mean IBNR: 53,207
## IBNR.S.E 18,180
## Total IBNR 75%: 63,739
## Total IBNR 95%: 85,225
