RAA Cumulative Claims Triangle

Cumulative claims data from the Reinsurance Association of America (RAA), obtained from the ChainLadder package. This is a classic 10x10 development triangle commonly used in actuarial reserving literature.

Usage

RAA_cumulative

Format

A 10 x 10 numeric matrix with:

rows

Accident years 1981-1990

columns

Development periods 1-10

values

Cumulative paid claims (thousands of dollars)

Source

Originally from the Reinsurance Association of America. Obtained from the ChainLadder R package (Gesmann et al., 2025). https://mages.github.io/ChainLadder/

Details

The data represents historical general liability claims from 1981-1990 with 10 development periods. Values are in thousands of dollars.

References

Gesmann M, Murphy D, Zhang Y, Carrato A, Wuthrich M, Concina F, Dal Moro E (2025). ChainLadder: Statistical Methods and Models for Claims Reserving in General Insurance. R package version 0.2.20.

See also

RAA_incremental for the incremental version

Examples

data(RAA_cumulative)
# View the triangle
print(RAA_cumulative)
#>       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

# Convert to incremental
RAA_incr <- cbind(RAA_cumulative[,1],
                  t(apply(RAA_cumulative, 1, diff)))