北美精算师02年11月重要考纲：November2002Course8M（第二课）已给到大家，请自行安排复习时间哦。
　　4. (10 points) Wonderful Life is considering the purchase of medical reinsurance that is a
　　combination of quota share and specific excess. The quote they have received is as
　　follows:
　　Specific excess
　　?  100% of claims in excess of $50,000
　　?  Covers claims incurred from July 1, 2000 through June 30, 2001
　　?  Reinsurance premium = $20.00 Per Employee Per Month
　　Quota share reinsurance
　　?  30% of claims incurred up to $50,000
　　?  Ceding allowance: 20% of ceded premium
　　?  Covers premium earned and claims incurred from July 1, 2000 through June
　　30, 2001
　　Wonderful Life’s management has set a pre-tax ROE target of 25% while holding riskbased
　　capital at 30% of premium. Current operating expenses are 15.1% of premium and
　　pre-tax investment income is 3.0% of premium.
　　(a) (4 points) Calculate Wonderful Life’s total pre-tax operating gain using the data
　　in table MM-3 assuming Wonderful Life purchases this reinsurance coverage.
　　Show your work.
　　(b) (4 points) Determine if Wonderful Life would have met its pre-tax ROE
　　objectives:
　　(i) Without the reinsurance coverage.
　　(ii) With the reinsurance coverage.
　　(c) (2 points) Describe the other profit measures you could use in analyzing this
　　business.
　　COURSE 8: Fall 2002 -5- GO ON TO NEXT PAGE
　　Health, Group Life & Managed Care
　　Morning Session
　　Questions 3 – 8 pertain to the Case Study
 
　　5. (7 points) You are the actuary for the Major Medical Division of Wonderful Life. You
　　have been asked to develop a forecast for the major medical line.
　　You are given the data in Tables MM-3, MM-6, and MM-7.
　　(a) Describe the major projection elements governing the design of a financial
　　forecast.
　　(b) Identify additional information you would need to develop a forecast and any
　　concerns about the information you have been provided.
 
　　6. (6 points) Wonderful Life is examining various methods of smoothing age-to-age
　　development factors.
　　(a) (4 points) Calculate the first lag month’s development factor for Wonderful Life
　　using the most recent four months of experience from Table MM-4b under the
　　following averaging approaches:
　　(i) Without Hi and Lo
　　(ii) Geometric Mean
　　(iii) Dollar-Weighted
　　(iv) Per Member Age-to-Age Ratios
　　(b) (2 points) Describe other methods that could be used to smooth age-to-age
　　development factors.
　　COURSE 8: Fall 2002 -6- GO ON TO NEXT PAGE
　　Health, Group Life & Managed Care
　　Morning Session
　　Questions 3 – 8 pertain to the Case Study
 
　　7. (9 points) You are the pricing actuary for Wonderful Life. You have been asked to
　　*uate the expected cost trend for Group 6. You have been given the following data in
　　addition to Tables MM-2 and MM-3.
　　Option 1 Option 2
　　%EE’s Avg Cost %EE’s Avg Cost
　　Sub-group 1 80% 5% Higher 90% 5% Lower
　　Sub-group 2 20% 20% Lower 10% 45% Higher
　　(a) (2 points) Calculate the expected claim cost per employee per month (PEPM) for
　　the next renewal period beginning March 1, 2002 based on the current enrollment
　　mix.
　　(b) (5 points) At open enrollment, employees in sub- group 2 of each option choose
　　the other option. Calculate the expected trend for each option and determine the
　　impact on the overall expected trend.
　　(c) (2 points) The employer is currently paying 70% of the cost of Option 1 and
　　Option 2.
　　(i) Calculate the amount the employer and employee would pay PEPM based
　　on the current rates and enrollment mix if the employer were to pay an
　　equal amount under a fixed dollar cost scheme.
　　(ii) Describe the potential concerns associated with a fixed dollar cost scheme.
　　COURSE 8: Fall 2002 -7- GO ON TO NEXT PAGE
　　Health, Group Life & Managed Care
　　Morning Session
　　Questions 3 – 8 pertain to the Case Study
　　人的活动如果没有理想的鼓舞，就会变得空虚而渺小。——高顿网校名人语录

 

 
扫一扫微信，关注精算师*7考试动态