⧼exchistory⧽
22 exercise(s) shown, 0 hidden
ABy Admin
Jul 25'24

The exposure is split into three geographic regions: region A, region B and region C. The following accident year 2 data is available:

Region Current Relativity Exposure Weight Ultimate Losses
A 1 40% 645,000
B 1.28 25% 480,000
C 0.5143 35% 285,000

Suppose the following is true:

  • Loss cost inflation is 5% per annum.
  • There are no fixed and variable underwriting expenses.
  • The insurer is targeting a profit percentage of 15% while retaining current rate relativities.

The insurer determines, using the loss ratio method, that rates should be increased by 10% for calendar year 3. Determine the earned premium at current rates during accident year 2 for region B.

ABy Admin
Jul 25'24

The exposure is split into three geographic regions: region A, region B and region C. The following accident year 1 data is available:

Region Current relativity Exposure Weight Earned Premium at Current Rates Projected Ultimate Loss
A 1.125 30% 421,875 375,000
B 1 50% 625,000 500,000
C 1.25 20% 312,500 300,000

Suppose the following is true:

  • Policies are annual.
  • Loss cost inflation is 4% per annum.
  • There are no fixed or variable underwriting expenses.
  • The insurer is targeting a profit percentage of 20%.

Using the loss ratio method, determine the rate change % for region A.

  • +27.58%
  • +28.15%
  • +30.56%
  • +31.17%
  • + 32.97%