精算师北美考场历年SOA真题珍藏:November2001Course5(第七课)
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2014-08-25
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39. X. Aggregate method of estimating
39. X. Aggregate method of estimating
medical claim costs
I. Most useful where there are co-pays
and limits which apply to a specific
service
Y. Benefit cost method of estimating
medical claim costs
II. Typically used for traditional
indemnity type plans
III. Estimated medical claim costs are
determined from a claim probability
distribution using an established
database
40. X. Variable accumulation annuities I. Generally backed by an insurance
company’s general portfolio
Y. Fixed accumulation annuities II. Equity-indexed annuity
III. Spread for pricing purposes is fixed
**END OF COURSE 5 EXAMINATION**
MORNING SESSION
COURSE 5: November 2001 - 28 - GO TO NEXT PAGE
Afternoon Session
COURSE 5
AFTERNOON SESSION
APPLICATION OF BASIC ACTUARIAL PRINCIPLES
SECTION C-WRITTEN ANSWER
COURSE 5: November 2001 - 29 - GO TO NEXT PAGE
Afternoon Session
**BEGINNING OF EXAMINATION 5**
AFTERNOON SESSION
8. (5 points) Your company, Delta Life, is entering into a treaty with two reinsurers, Alpha
Life and Beta Life. The treaty will cover a Term to Attained Age 95 product with level
premiums for the first 20 years and annually increasing premiums thereafter.
You are given the following information:
Reinsurance Type Automatic First Dollar Quota Share
Policy Face Amount $1,200,000
Current Year Reserve for Policy $ 100,000
Delta Life Retention Limit $ 500,000
Quota Share for Alpha Life 24%
Quota Share for Beta Life 36%
(a) Describe the reasons a company may wish to reinsure its business.
(b) Calculate the following:
(i) the amount retained by Delta Life;
(ii) the amount ceded to Alpha Life; and
(iii) the amount ceded to Beta Life.
COURSE 5: November 2001 - 30 - GO TO NEXT PAGE
Afternoon Session
9. (6 points)
(a) Describe the major considerations involved in underwriting large group life
insurance plans.
(b) Describe the major considerations involved in underwriting large group disability
income plans.
(c) Describe how past experience data is evaluated for group life insurance and group
disability income plans.
10. (5 points) Describe how employee benefit plans are taxed in Canada and the U.S. for the
following:
(i) Medical expense insurance;
(ii) Group term life insurance; and
(iii) Disability income payments.
COURSE 5: November 2001 - 31 - GO TO NEXT PAGE
Afternoon Session
11. (7 points) Describe considerations in the determination of the pricing assumptions for:
(a) Income annuities; and
(b) Accumulation annuities.
12. (3 points) Explain the calculations for the normal cost and actuarial liability for the
following cost methods:
(i) Traditional accrued benefit; and
(ii) Projected accrued benefit.
Define all terms.
COURSE 5: November 2001 - 32 - STOP
Afternoon Session
13. (9 points) You are given the following information for a Property and Casualty insurance
company:
TERRITORY 1
Risk class for
Territory 1
Number of earned Exposure Units
(number of lives)
Existing
Rate
Expected
losses
A (Base class) 50,000 $40.00 $1,100,000
B 30,000 50.00 1,200,000
C 20,000 75.00 400,000
TERRITORY 2
Risk class for
Territory 2
Number of earned Exposure Units
(number of lives)
Existing
Rate
Expected
losses
A (Base class) 60,000 $ 80.00 $2,640,000
B 40,000 100.00 2,600,000
C 20,000 150.00 2,400,000
A rate change is proposed that will result in a permissible loss ratio of 60%.
(a) Calculate the new rates for each class in Territory 1 using the loss cost method,
assuming the company operates in Territory 1 only.
(b) Calculate new rates using the loss ratio method for each class in Territory 1 and
Territory 2 if Territory 2 is added and class differentials do not change. Assume
the company operates in Territories 1 and 2. Use existing rates for Territory 1.
Show all work.
14. (5 points) Describe required capital and the risks covered in the required capital
calculation for a life insurance company.
**END OF COURSE 5 EXAMINATION**
AFTERNOON SESSION
COURSE 5: November 2001 - 33 - STOP
Afternoon Session
Course 5
Nov. 2001
Final Multiple Choice Key
Question # Answer
如果你相信自己做的还不错,不在乎别人怎么看你的时候,你真的可以很自在。——高顿网校经典总结
如果你相信自己做的还不错,不在乎别人怎么看你的时候,你真的可以很自在。——高顿网校经典总结

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