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PROCEEDINGS May 15, 16, 17, 18, 2005 - Casualty Actuarial Society

PROCEEDINGS May 15, 16, 17, 18, 2005 - Casualty Actuarial Society

PROCEEDINGS May 15, 16, 17, 18, 2005 - Casualty Actuarial Society

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ARCHITECTURE FOR RESIDENTIAL PROPERTY INSURANCE RATEMAKING 503Cost of CapitalThe cost of capital held to protect the insurer against infrequentcatastrophic events that produce losses far in excess of thelong-term average for the peril must be considered in ratemaking.The held capital may be internally generated, borrowed frominvestors, or “rented” from reinsurers. Most insurers capitalizetheir cat risk using a combination of sources, with the largestoften being reinsurance. Reinsurance may be available from privatesources, which include a market-determined cost of capitalin their premium, and/or public sources, which generally do not.Musulin and Rollins [<strong>15</strong>] contains a description and comparisonof private and public property cat reinsurance options in Floridaand a breakdown of the reinsurance premium as follows:where:P R = Ĉ ¡ R(Ĉ)+ + T (3)Ĉ = expected direct cat losses (i.e. modeled gross annuallosses);R(Ĉ) = expected net retained cat losses (determined by reinsuranceprogram design); = charge for cost of capital (a.k.a. reinsurance risk load);T = transaction costs (such as brokerage and reinsurer administrativeexpenses).A spectrum of approaches exists for efficiently reflecting thecost of catastrophic events in ratemaking, such as:1. Treatment of the entire reinsurance premium (appropriatelyallocated to line) as a fixed expense in ratemakingand consideration of only non-cat and retained cat lossesin the loss portion of the experience ratio. This methodwould be most appropriate for a heavily reinsured com-

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