Bahnemann Flashcards
Panjer’s Recursive Algorithm
Size view of losses
Layer view of losses
Expected losses in a layer
E[X; a; l] = E[X; a + l] - E[X; a]
Excess loss conditional on a claim exceeding retention
Mean residual life at a
Graphs of excess severity
Mean and variance of excess claim counts
p = probability that a loss exceeds a
Impact of inflation in fixed excess layer
Impact of severity inflation on excess counts
Impact of severity inflation on aggregate losses
Mean and variance of aggregate losses in a layer
Claim contagion parameter (accounts for claims not being independent of each other)
What the risk charge covers
Contingencies such as process and parameter risk
ILF assumptions
- All UW expenses and profit are variable and do not vary by limit
- Frequency and severity are independent
- Frequency is the same for all limits (may not be true due to adverse/favorable selections)
Price of a layer of coverage using ILFs
Consistency in ILFs
Increasing and doing so at a decreasing rate.
Premium for successive layers of coverage of constant width will be decreasing
Violation: adverse selection, lawsuits influencing size of limits (frequency would not be the same)