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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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A NEW METHOD OF ESTIMATING LOSS RESERVES 483TABLE A2The Ratio Loss Development Factors For VariousDevelopment Years and Settlement PeriodsDevelopment Year j=j +1N 0/1 1/2 2/3 3/4 4/5 5/6 6/7 7/8 8/9 9/10Results for LDF (1)j,N =LDF(1) j+1,N :1 1.33452 1.4531 1.12533 1.5201 1.<strong>18</strong>43 1.06624 1.5628 1.2192 1.1036 1.04<strong>16</strong>5 1.5938 1.2445 1.1279 1.0673 1.02886 1.6129 1.2606 1.1440 1.0843 1.0472 1.02087 1.6328 1.2737 1.<strong>15</strong>58 1.0968 1.0605 1.0351 1.0<strong>15</strong>98 1.6476 1.2856 1.<strong>16</strong>63 1.1068 1.0707 1.0460 1.0273 1.01269 1.6600 1.2941 1.<strong>17</strong>45 1.1143 1.0784 1.0541 1.0359 1.02<strong>18</strong> 1.0101Results for LDF (2)j,N =LDF(2) j+1,N :1 1.38712 1.5200 1.13473 1.5889 1.1997 1.06914 1.6303 1.2371 1.1094 1.04285 1.6595 1.2635 1.1353 1.0700 1.02946 1.6764 1.2801 1.<strong>15</strong>22 1.0880 1.0486 1.021<strong>17</strong> 1.6939 1.2931 1.<strong>16</strong>46 1.1011 1.0626 1.0359 1.0<strong>16</strong><strong>18</strong> 1.7070 1.3047 1.<strong>17</strong>53 1.11<strong>15</strong> 1.0732 1.0472 1.0278 1.01279 1.7<strong>17</strong>5 1.3133 1.<strong>18</strong>36 1.1193 1.0813 1.0557 1.0367 1.0221 1.0102Notes: 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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