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Unit 8: Accounting for Insurance Companies




          Accident Accounting Reported   Case                Ending Beginning Incurred          notes
          Month   Month   Claims   Paid   Reserves   IBNR   Reserves   Reserves   Losses

            a       b       c       d       e        f        g        h        i
                                                           (g) = (e) + (f)   (i) = (d) + (g) - (h)
          Jan. 11   Jan. 11   3    15      15       30        45       0       60
          Jan. 11   Feb. 11   2      25    10       20        30      45       10
          Jan. 11   Mar. 11   0    10       0       10        10      30       -10

          Jan. 11   Apr. 11   1     5       5                 5       10        0
          Jan. 11   May11           5       0                 0        5        0
                                   60                                          60
          The above displays the life-cycle for a particular accident month. The financials for a particular
          accounting month will reflect various accident months with transactions or outstanding reserves
          during that month.
          The establishment of the initial reserves for an exposure period based on actual activity is most
          typical where most of the claims are reported relatively quickly and settled quickly, such as
          for certain property lines in many jurisdictions. Such an approach is not possible if claims are
          reported slowly and/or where the initial claim adjuster estimates are not sufficiently reliable
          indicators of ultimate payout.
          For  product  lines  with  slower  reporting  and/or  payment  patterns  or  where  the  initial  case
          reserves are less reliable at initial valuation, it is common to set the initial incurred loss estimate
          based on an “a priori” estimate of loss exposure for the period. The following is an example of
          such an approach where the initial estimate of incurred losses is based on an expected loss ratio
          times earned premium.
          Accrual  of  estimated  incurred  losses  based  on  the  level  of  earned  exposure:  The  following
          (simplifying) assumptions were made in the following example:
          l z  Claim activity is tracked and reserves set by accident year.

          l z  Earned premium for the 2012 calendar year is running ` 1,000 a month.
          l z  Based on an analysis of pricing and loss trends and expected underwriting, management
               expects a 60% loss ratio for the 2012 accident year.

          l z  Only two loss reserve accounts are maintained, case and IBNR.
          l z  These two reserve accounts are further split in two AY buckets, the current AY (which is
               2012 in this example) and all prior.
          In this example, management determines the incurred losses for the current AY based on earned
          premium for the period, and performs regular reserve reviews to determine if prior accident
          year estimates should be changed. The illustration shown has such a change in estimate for prior
          years.


                 Example 2: June 2012 reserve setting

           step 1 - Determine incurred losses
           AY 2012
             June 2012 earned premium          1,000                     a
              Expected loss ratio               60%                      b



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