qpaid {ChainLadder} | R Documentation |

## Quarterly run off triangle of accumulated claims data

### Description

Sample data to demonstrate how to work with triangles with a higher development period frequency than origin period frequency

### Usage

`data(qpaid); data(qincurred)`

### Format

A matrix with 12 accident years and 45 development quarters of claims costs.

### Source

Made up data for testing purpose

### Examples

```
dim(qpaid)
dim(qincurred)
op=par(mfrow=c(1,2))
ymax <- max(c(qpaid,qincurred),na.rm=TRUE)*1.05
matplot(t(qpaid), type="l", main="Paid development",
xlab="Dev. quarter", ylab="$", ylim=c(0,ymax))
matplot(t(qincurred), type="l", main="Incurred development",
xlab="Dev. quarter", ylab="$", ylim=c(0,ymax))
par(op)
## MackChainLadder expects a quadratic matrix so let's expand
## the triangle to a quarterly origin period.
n <- ncol(qpaid)
Paid <- matrix(NA, n, n)
Paid[seq(1,n,4),] <- qpaid
M <- MackChainLadder(Paid)
plot(M)
# We expand the incurred triangle in the same way
Incurred <- matrix(NA, n, n)
Incurred[seq(1,n,4),] <- qincurred
# With the expanded triangles we can apply MunichChainLadder
MunichChainLadder(Paid, Incurred)
# In the same way we can apply BootChainLadder
# We reduce the size of bootstrap replicates R
# from the default of 999 to 99 purely to reduce run time.
BootChainLadder(Paid, R=99)
```

[Package

*ChainLadder* version 0.2.16

Index]