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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 547public policy associated with such plans is beyond the scope ofthis paper, though it is noted that “swing limits,” capping changesin rating factors in spite of credibility-weighted indications, areused throughout many accepted rating plans in most lines ofinsurance. In any case, the practical business advantages of aphasing-in of premium changes for existing insureds cannot beoverlooked.It sounds simple to implement such a plan, but the devil is inthe details of how the premium subject to transition is calculatedand carried forward from year to year. Basic logic for a plan thatcaps annual premium increases might be as follows:1. Calculate P 0 , the premium on current rates at the currentTVI. P includes premium for miscellaneous coveragesand endorsements, but does not include expensefees. Premium for endorsements added during the currentterm is restated as full-term premium on currentrates.2. Calculate P 1 , the premium on proposed rates at the currentTVI, for the standard policy coverages and only endorsementsthat are effective before the renewal date (in otherwords, on an “apples to apples” basis whereby premiumfor new additional coverages is not compared againstcurrent premium totals). P 1 also excludes expense fees.3. The premium change factor is the ratio of the premiumon proposed rates to premium on current rates less unity:H = P 1¡ 1: (<strong>16</strong>)P 04. If the premium change factor exceeds M, theselectedmaximum premium increase, let transition factorT 0 = M H : (<strong>17</strong>)5. Multiply each peril partial base premium by T 0 in developmentof final policy premium. Store T 0 with policy

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