23 Jul Math homework
| Lebowski, Inc. | |||||||||||||||||
| Workers’ Compensation | |||||||||||||||||
| Evaluated as of 02/28/17 | |||||||||||||||||
| Actual vs Expected Incurred Loss Development | |||||||||||||||||
| Ratio of | Ratio of | ||||||||||||||||
| Prior Ratio | Ratio of | Incremental | Undeveloped | Selected | Current | ||||||||||||
| Prior | Prior | Prior | of Incurred | Incurred | Incurred | Loss to | Expected | Actual | Change in | Ultimate | |||||||
| Policy | Ultimate | Incurred | Indicated | Loss to | Loss to | Loss to | Ultimate | Incremental | Incremental | Indicated | Ultimate | Loss | |||||
| Year | Loss | Loss | IBNR | Ultimate | Ultimate | Ultimate | 1 – (4) | Incurred Loss | Incurred Loss | Difference | Loss | (1) + (11) | |||||
| (1) | (2) | (3) | 0 | (4) | (1) | (5) | (2) | (6) | (7) | (8) | 2 | (9) | 1 | (10) | 0 | (11) | (12) |
| 2005 | 150,000 | 145,000 | 1.000 | 1.000 | 0.000 | 2,100 | 150,000 | ||||||||||
| 2006 | 165,000 | 160,000 | 0.998 | 0.999 | 0.002 | – 0 | 165,000 | ||||||||||
| 2007 | 127,000 | 127,000 | 0.993 | 0.995 | 0.007 | – 0 | 127,000 | ||||||||||
| 2008 | 100,000 | 80,000 | 0.985 | 0.987 | 0.015 | 5,500 | 100,000 | ||||||||||
| 2009 | 58,000 | 54,000 | 0.974 | 0.977 | 0.026 | 1,100 | 58,000 | ||||||||||
| 2010 | 70,000 | 68,500 | 0.957 | 0.963 | 0.043 | 250 | 70,000 | ||||||||||
| 2011 | 73,000 | 73,000 | 0.932 | 0.939 | 0.068 | – 0 | 73,000 | ||||||||||
| 2012 | 77,000 | 77,000 | 0.900 | 0.909 | 0.100 | – 0 | 77,000 | ||||||||||
| 2013 | 82,000 | 74,000 | 0.857 | 0.870 | 0.143 | 450 | 82,000 | ||||||||||
| 2014 | 80,000 | 71,042 | 0.796 | 0.815 | 0.204 | 1,000 | 80,000 | ||||||||||
| 2015 | 86,500 | 80,309 | 0.706 | 0.734 | 0.294 | 800 | 86,500 | ||||||||||
| 2016 | 120,000 | 102,500 | 0.583 | 0.618 | 0.417 | 1,800 | 120,000 | ||||||||||
| Total | $ 1,188,500 | $ 1,112,351 | $ – 0 | $ – 0 | $ 13,000 | $ – 0 | $ – 0 | $ 1,188,500 |
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