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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 485LDF (2)j,NTABLE A4for the Truncated Exponential Distributionwith Parameter ¸Development Year jN 0 1 2 3 4 5 6 7 8 9¸ =1:0 1.00001 1.3791 1.00002 1.7023 1.1300 1.00003 2.0004 1.2710 1.0662 1.00004 2.2764 1.41<strong>15</strong> 1.1494 1.0408 1.00005 2.5492 1.5530 1.2382 1.0964 1.0279 1.00006 2.7976 1.6850 1.3263 1.<strong>15</strong>71 1.0673 1.0200 1.00007 3.0423 1.8129 1.4124 1.2199 1.1124 1.0498 1.0<strong>15</strong>2 1.00008 3.2778 1.9405 1.5000 1.2843 1.<strong>16</strong>09 1.0853 1.0387 1.0120 1.00009 3.5078 2.0654 1.5854 1.3480 1.2099 1.1229 1.0666 1.0307 1.0096 1.0000¸ =5:0 1.00001 1.2424 1.00002 1.4106 1.07<strong>17</strong> 1.00003 1.5424 1.1419 1.0343 1.00004 1.6542 1.2056 1.0744 1.0205 1.00005 1.7630 1.2651 1.1<strong>15</strong>0 1.0468 1.0135 1.00006 1.8570 1.3<strong>17</strong>9 1.<strong>15</strong>31 1.0745 1.0320 1.0095 1.00007 1.9343 1.3650 1.<strong>18</strong>82 1.10<strong>18</strong> 1.0525 1.0234 1.0071 1.00008 2.0093 1.4113 1.2220 1.1282 1.0732 1.0390 1.0<strong>17</strong>7 1.0054 1.00009 2.0895 1.4569 1.2559 1.<strong>15</strong>55 1.0953 1.0564 1.0307 1.0142 1.0044 1.0000¸ = 10:0 1.00001 1.1246 1.00002 1.1978 1.0360 1.00003 1.2486 1.0682 1.0<strong>17</strong>2 1.00004 1.2896 1.0959 1.0364 1.0101 1.00005 1.3235 1.1199 1.0547 1.0229 1.0067 1.00006 1.3546 1.1409 1.07<strong>16</strong> 1.0360 1.0<strong>15</strong>8 1.0048 1.00007 1.3847 1.<strong>16</strong>08 1.0879 1.0493 1.0260 1.01<strong>18</strong> 1.0036 1.00008 1.4054 1.<strong>17</strong>73 1.10<strong>18</strong> 1.0612 1.0359 1.0194 1.0090 1.0028 1.00009 1.4342 1.1947 1.1<strong>16</strong>0 1.0733 1.0460 1.0277 1.0<strong>15</strong>3 1.0071 1.0022 1.0000

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