北美精算师2001年11月份真题汇集Course8P（*9部分）虽然过了13年，但真题和大纲是万中之重！请珍惜自己的考前复习时间！
　　Retirement Benefits,
　　Pension Funding Mathematics Segment
　　November, 2001- Course 8P
　　Society of Actuaries
　　**BEGINNING OF EXAMINATION**
 
　　1. (8 points) A new Company has established a contributory pension plan on January 1,
　　2001. You are given:
　　Plan Provisions
　　Retirement benefit: The greater of:
　　(i) 2% of career average earnings, or
　　(ii) actuarial equivalent of 200% of employee
　　contributions accumulated at the fund
　　rate of return
　　Normal form of payment: 5 years certain and life thereafter, payable monthly
　　in advance
　　Normal retirement age: 65
　　Employee contributions: 4% of annual earnings, payable at the beginning of
　　the year
　　Termination or death benefit: Lump sum payment of 200% of employee
　　contributions accumulated at the fund rate of return
　　Actuarial equivalence: At valuation assumptions
　　Actuarial Assumptions and Methods
　　Interest rate: 6.5% per annum
　　Retirement age: 65
　　Salary increases: 4.0% per annum
　　Termination rates: Attained Age Year-end rates
　　Up to 34 10%
　　35 and over 0%
　　Other pre-retirement decrements: None
　　Actuarial cost method: Unit Credit
　　Actuarial value of assets: Market value
　　&&
　　:
　　a 10.4
　　655
　　b12g =
　　COURSE 8: November 2001 - 2 - GO TO NEXT PAGE
　　Retirement Benefits,
　　Pension Funding Mathematics Segment
　　COURSE 8: November 2001 - 3 - GO TO NEXT PAGE
　　Retirement Benefits,
　　Pension Funding Mathematics Segment
 
　　1. (CONTINUED)
　　Participant Data
　　Group J Group K
　　Number of employees 30 30
　　Age at 1/1/2001 30 50
　　2001 earnings per
　　employee
　　$40,000 $60,000
　　(a) Calculate the employer normal cost for 2001.
　　(b) The employer contributes the employer normal cost on January 1, 2001. The fund
　　earns 8% during 2001. At December 31, 2001, 6 employees in Group J terminate
　　and 1 Group K employee dies.
　　Determine the plan’s assets and accrued liability at January 1, 2002.
　　(c) Calculate the gains and losses by source for 2001.
　　Show all work.
　　COURSE 8: November 2001 - 4 - GO TO NEXT PAGE
　　Retirement Benefits,
　　Pension Funding Mathematics Segment
 
　　2. (4 points) The CEO of ABC Company will receive a pension on retirement at age 65.
　　You are given the following as at January 1, 2001:
　　CEO’s Age: 50
　　CEO’s Service: 10 years
　　CEO’s Salary: $300,000 per annum
　　Pension Benefit: 2% of final year’s salary times years
　　of service
　　Form of Payment: Life only, payable monthly in
　　advance
　　The pension is paid from a basic plan and a supplemental executive plan. The maximum
　　annual pension payable under the Basic Plan is $2,000 times years of service. The
　　remainder is paid from the Supplemental Plan. ABC pre-funds the CEO’s entire pension.
　　Actuarial Assumptions and Method
　　Basic Plan Supplemental Plan
　　Interest rate: 8% per annum 6% per annum
　　Salary scale: 5% per annum 5% per annum
　　Normal retirement age: 65 65
　　Pre-retirement decrements: None None
　　Actuarial Cost Method: Projected Unit Credit
　　(prorated on service)
　　Entry Age Normal
　　(level % of pay)
　　&& a65
　　b12g 9.0 11.0
　　(a) Calculate the normal cost for the Basic Plan at January 1, 2001.
　　(b) Calculate the normal cost for the Supplemental Plan at January 1, 2001.
　　Show all work.
 
　　COURSE 8: November 2001 - 5 - GO TO NEXT PAGE
　　Retirement Benefits,
　　Pension Funding Mathematics Segment
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　　COURSE 8: November 2001 - 6 - GO TO NEXT PAGE
　　Retirement Benefits,
　　Pension Funding Mathematics Segment
　　万物的和平在于秩序的平衡，秩序就是把平等和不平等的事物安排在各自适当的位置上。——高顿网校唯美语句

 

 
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