An Actuarial Model of Excess of Policy Limits Losses

Motivation. Excess of policy limits (XPL) losses is a phenomenon that presents challenges for the practicing actuary.

Method. This paper proposes using a classic actuarial framework of frequency and severity, modified to address the unique challenge of XPL.

Results. The result is an integrated model of XPL losses together with non-XPL losses.

Conclusions. A modification of the classic actuarial framework can provide a suitable basis for the modeling of XPL losses and for the pricing of the XPL loss component of reinsurance contracts.

Keywords. Excess of Policy Limits. XPL. ERM. Modeling.