G.4. Cape Cod Method Flashcards
CC formula for estimated ultimate claims
CC Ultimate = Reported + On-level EP x ECR x % unreported
Cape Cod ECR formula and steps
Cape Cod ECR = (Sum of reported claims)/[sum of (on-level premium x % reported)]
Main assumption of Cape Cod method
Unreported claims will develop based on expected claims, and expected claims are derived using reported claims and earned premium
Advantages of Cape Cod
Key: ECR is estimated from historical data rather than being judgmentally selected
Also: random fluctuations at early maturities do not significantly distort estimates
Disadvantages of Cape Cod
Can’t be used for new line of business
Highly dependent on appropriate on-leveling of premium, which can be difficult
When data is thin or volatile, ECR will not be reliable
Speedups or slowdowns, Cape Cod
Will be accurate since it is based on reported claims
Changes in case reserve, Cape Cod
Increase will overstate – error is larger in magnitude than BF but not as large as CL
Changes in claim ratios and Cape Cod
More responsive than BF since it uses most recent exposure periods. For increasing claim ratios, Cape Cod will underestimate but not as much as BF
Exposure growth, Cape Cod
Growing book causing average accident date to be later in more recent years – CC will underestimate
Mix of business changes, Cape Cod
Inaccurate if:
Segments of business that are changing have different development patterns
Segments that are changing have different ECRs