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The Role of Uncertainty on Alternative Disaster Management Strategies
Abstract:The work presented in this paper is an outgrowth of a multi—year study at the Wharton School of the University of Pennsylvania on Managing Catastrophic Risks. We focus on the role of homeowners and insurance companies in managing the hazard from earthquake risk. Specifically, we consider alternative earthquake disaster management strategies for a typical homeowner and a small insurance company in the Oakland, California region. These strategies involve the adoption of mitigation measures and the purchase of earthquake insurance by the homeowner and the purchase of an indemnity contract (e.g., excess—of—loss reinsurance) by the insurer.

We focus on how uncertainty impacts these disaster management strategies. Specifically, we illustrate the impact of structural mitigation and risk—transfer mechanisms on the insurer's performance when there is uncertainty in the company's risk profile. This risk profile is captured through a loss exceedance probability (EP) curve, representing the probability that a certain level of monetary loss will be exceeded on an annual basis. Parameters considered in the sensitivity analysis that will shift the loss EP curve include: earthquake recurrence, ground motion attenuation, soil mapping schemes, and the exposure and vulnerability of the residential structures. The paper demonstrates how uncertainty in these parameters impacts the cost effectiveness of mitigation and reinsurance on the insurer's profitability and chances of insolvency, as well as the number of policies the insurer is willing to issue.
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