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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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482 A NEW METHOD OF ESTIMATING LOSS RESERVESAPPENDIXTABLE A1Loss Development Factor from j to Ultimate ForVarious Development Years and Settlement Periods (N)Development Year jN 0 1 2 3 4 5 6 7 8 9Results for LDF (1)j,N :0 1.00001 1.3345 1.00002 1.6353 1.1253 1.00003 1.9195 1.2627 1.0662 1.00004 2.1903 1.40<strong>15</strong> 1.1495 1.04<strong>16</strong> 1.00005 2.4564 1.5412 1.2384 1.0980 1.0288 1.00006 2.6959 1.67<strong>15</strong> 1.3259 1.<strong>15</strong>90 1.0689 1.0208 1.00007 2.9402 1.8007 1.4137 1.2232 1.1<strong>15</strong>2 1.05<strong>16</strong> 1.0<strong>15</strong>9 1.00008 3.<strong>18</strong>53 1.9333 1.5038 1.2894 1.<strong>16</strong>50 1.0881 1.0403 1.0126 1.00009 3.4<strong>16</strong>9 2.0584 1.5905 1.3542 1.2<strong>15</strong>3 1.1270 1.0691 1.0321 1.0101 1.0000Results for LDF (2)j,N :0 1.00001 1.3871 1.00002 1.7247 1.1347 1.00003 2.0379 1.2826 1.0691 1.00004 2.3333 1.4312 1.<strong>15</strong>69 1.0428 1.00005 2.6221 1.5800 1.2505 1.10<strong>15</strong> 1.0294 1.00006 2.8804 1.7<strong>18</strong>2 1.3422 1.<strong>16</strong>49 1.0707 1.0211 1.00007 3.14<strong>17</strong> 1.8547 1.4343 1.23<strong>16</strong> 1.1<strong>18</strong>5 1.0526 1.0<strong>16</strong>1 1.00008 3.4033 1.9938 1.5281 1.3003 1.<strong>16</strong>98 1.0901 1.0409 1.0127 1.00009 3.6511 2.1259 1.6<strong>18</strong>8 1.3676 1.2219 1.1301 1.0704 1.0325 1.0102 1.0000Notes: Development year 0 refers to the year in which the claim was incurred. N is the number ofcalendar years it takes to settle all claims occurring in the same calendar year. Thus N = 0 impliesclaims are settled in the calendar year of their occurrence.

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