On Devising Various Alarm Systems for Insurance Companies - Archive ouverte HAL Access content directly
Other Publications Year : 2010

On Devising Various Alarm Systems for Insurance Companies

(1, 2) , (3)
1
2
3

Abstract

One possible way of risk management for an insurance company is to develop an early and appropriate alarm system before the possible ruin. The ruin is de ned through the status of the aggregate risk process, which in turn is determined by premium accumulation as well as claim settlement out-go for the insurance company. The main purpose of this work is to design an effective alarm system, i.e. to de ne alarm times and to recommend augmentation of capital of suitable magnitude at those points to prevent or reduce the chance of ruin. In the three different methods outlined in this work, the alarms are signaled on the basis of the past history of the risk process and/or properties of claim distribution. Depending on the method adopted, the alarm time can be a random one or a xed parameter of the claim distribution (and premium function). The focus of this work is on devising a sequence of alarms, which are indeed xed parameters based on characteristics of the risk process. To draw a fair measure of effectiveness of alarm system(s), comparison is drawn between a process equipped with an alarm system, with capital being added at the sound of every alarm, and the corresponding process without any alarm system but an equivalently higher initial capital. Detailed analytical results are obtained for general processes and this is backed up simulated performances when the loss severity has exponential, or Pareto or discrete logarithmic distribution. The formulation is eventually intended to be applied and extended for devising alarm system for reinsurance contracts.
Fichier principal
Vignette du fichier
10008.pdf (815.17 Ko) Télécharger le fichier
Origin : Explicit agreement for this submission
Loading...

Dates and versions

hal-00572546 , version 1 (07-03-2011)

Identifiers

  • HAL Id : hal-00572546 , version 1

Cite

Marie Kratz, Shubhabrata Das. On Devising Various Alarm Systems for Insurance Companies. 2010. ⟨hal-00572546⟩
336 View
748 Download

Share

Gmail Facebook Twitter LinkedIn More