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The Company described in this question is the same company as for Question 1. The Companys claims department establishes case reserves, based on the adjusters

  1. The Company described in this question is the same company as for Question 1. The Companys claims department establishes case reserves, based on the adjusters expectation for ultimate claims payment. Cumulative case incurred claims represent the sum of the cumulative claims payments (as shown in Question 1) plus the outstanding case reserves as of the valuation date. The actuary considers whether projections based on incurred claims, rather than paid claims as in Question 1, may be a better method for reserving.

Use this table of cumulative case incurred claims, combined with the data provided in Question 1 for the questions below:

Accident

Cumulative Case Incurred through end of:

Year

2017

2018

2019

2020

2017

300

600

1050

1100

2018

350

450

1400

2019

650

900

2020

600

  1. (5 points) What were the total case reserves (all accident years) as of December 31, 2020?
  2. (25 points) Using the development method discussed in class and applying it to the case incurred amounts, what are the expected ultimate losses by accident year and in total as of December 31, 2020?
  3. (5 points) What are the estimated loss reserves as of December 31, 2020, by accident year and in total?
  4. (5 points) What is the total IBNR as of December 31, 2020?
  5. (5 points) Loss adjustment expenses are estimated to be 20% of total losses. Using the case incurred data from this question #4, what is the ultimate loss adjustment expense (all years past and future combined)?
  6. (5 points) If the cumulative actual loss adjustment expense payments as of December 31, 2020 are as follows, what is the loss adjustment expense reserve, by accident year and total for all years combined as of December 31, 2020?

Accident Year

Cumulative LAE Payments as of December 31, 2020

2017

220.00

2018

250.00

2019

100.00

2020

50.00

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