高顿项目

国内财会

国际财会

金融证书

公务员

考研

考研

继续教育

继续教育

在职硕博

学历学位

国企求职

军队文职

军队文职

职业提升

语言培训

出国留学

海外留学

北美精算师的SOA真题汇集November2005ExamM③

来源：高顿网校 2014-08-04

　　北美精算师的SOA真题汇集November2005ExamM③，希望真的可以帮到各位考生们，收好啦，助大家考试一臂之力。
　　9. For a special fully discrete 30-payment whole life insurance on (45), you are given:

　　(i) The death benefit of 1000 is payable at the end of the year of death.

　　(ii) The benefit premium for this insurance is equal to 45 1000P for the first 15 years

　　followed by an increased level annual premium of π for the remaining 15 years.

　　(iii) Mortality follows the Illustrative Life Table.

　　(iv) 0.06 i =

　　Calculate π.

　　(A) 16.8

　　(B) 17.3

　　(C) 17.8

　　(D) 18.3

　　(E) 18.8

　　Exam M: Fall 2005 -10- GO ON TO NEXT PAGE

　　10. For a special fully discrete 2-year endowment insurance on (x):

　　(i) The pure endowment is 2000.

　　(ii) The death benefit for year k is ( ) 1000k plus the benefit reserve at the end of year k,

　　1, 2 k = .

　　(iii) π is the level annual benefit premium.

　　(iv) i = 0.08

　　(v) 1 0.9, 1, 2 x k p k + ? = =

　　Calculate π.

　　(A) 1027

　　(B) 1047

　　(C) 1067

　　(D) 1087

　　(E) 1107

　　Exam M: Fall 2005 -11- GO ON TO NEXT PAGE

　　11. For a group of 250 individuals age x, you are given:

　　(i) The future lifetimes are independent.

　　(ii) Each individual is paid 500 at the beginning of each year, if living.

　　(iii) 0.369131 x A =

　　(iv) 2 0.1774113 x A =

　　(v) 0.06 i =

　　Using the normal approximation, calculate the size of the fund needed at inception in order to

　　be 90% certain of having enough money to pay the life annuities.

　　(A) 1.43 million

　　(B) 1.53 million

　　(C) 1.63 million

　　(D) 1.73 million

　　(E) 1.83 million

　　Exam M: Fall 2005 -12- GO ON TO NEXT PAGE

　　12. For a double decrement table, you are given:

　　Age ( )

　　x l τ ( ) 1

　　x d ( ) 2

　　x d

　　40 1000 60 55

　　41 ? ? 70

　　42 750 ? ?

　　Each decrement is uniformly distributed over each year of age in the double decrement table.

　　Calculate ( ) 1

　　41 q′ .

　　(A) 0.077

　　(B) 0.078

　　(C) 0.079

　　(D) 0.080

　　(E) 0.081

　　Exam M: Fall 2005 -13- GO ON TO NEXT PAGE

　　13. The actuarial department for the SharpPoint Corporation models the lifetime of pencil

　　sharpeners from purchase using a generalized DeMoivre model with ( ) ( ) 1 / s x x α ω = ? , for

　　0 α and 0 x ω ≤ ≤ .

　　A senior actuary examining mortality tables for pencil sharpeners has determined that the

　　original value of α must change. You are given:

　　(i) The new complete expectation of life at purchase is half what it was previously.

　　(ii) The new force of mortality for pencil sharpeners is 2.25 times the previous force of

　　mortality for all durations.

　　(iii) ω remains the same.

　　Calculate the original value of α.

　　(A) 1

　　(B) 2

　　(C) 3

　　(D) 4

　　(E) 5

　　Exam M: Fall 2005 -14- GO ON TO NEXT PAGE

　　14. You are given:

　　(i) T is the future lifetime random variable.

　　(ii) ( ) t ? ? = , 0 t ≥

　　(iii) [ ] Var 100 T = .

　　Calculate [ ] E 10 T ∧ .

　　(A) 2.6

　　(B) 5.4

　　(C) 6.3

　　(D) 9.5

　　(E) 10.0

　　Exam M: Fall 2005 -15- GO ON TO NEXT PAGE

　　15. For a fully discrete 15-payment whole life insurance of 100,000 on (x), you are given:

　　(i) The expense-loaded level annual premium using the equivalence principle is 4669.95.

　　(ii) 100,000 51,481.97 x A =

　　(iii) :15 11.35 x a = ????

　　(iv) 0.02913 d =

　　(v) Expenses are incurred at the beginning of the year.

　　(vi) Percent of premium expenses are 10% in the first year and 2% thereafter.

　　(vii) Per policy expenses are K in the first year and 5 in each year thereafter until death.

　　Calculate K.

　　(A) 10.0

　　(B) 16.5

　　(C) 23.0

　　(D) 29.5

　　(E) 36.5

　　Exam M: Fall 2005 -16- GO ON TO NEXT PAGE

　　16. For the future lifetimes of (x) and (y):

　　(i) With probability 0.4, ( ) ( ) T x T y = (i.e., deaths occur simultaneously).

　　(ii) With probability 0.6, the joint density function is

　　( ) ( ) , ( , ) 0.0005 T x T y f ts= , 0 40 t , 0 50 s

　　Calculate ( ) ( ) Prob T x T y? ? ? ?.

　　(A) 0.30

　　(B) 0.32

　　(C) 0.34

　　(D) 0.36

　　(E) 0.38

　　Exam M: Fall 2005 -17- GO ON TO NEXT PAGE
　　高顿网校之名人哲理：青年男女即使在悲哀中也总有自己的光彩。

版权声明：本条内容自发布之日起，有效期为一个月。凡本网站注明“来源高顿教育”或“来源高顿网校”或“来源高顿”的所有作品，均为本网站合法拥有版权的作品，未经本网站授权，任何媒体、网站、个人不得转载、链接、转帖或以其他方式使用。经本网站合法授权的，应在授权范围内使用，且使用时必须注明“来源高顿教育”或“来源高顿网校”或“来源高顿”，并不得对作品中出现的“高顿”字样进行删减、替换等。违反上述声明者，本网站将依法追究其法律责任。本网站的部分资料转载自互联网，均尽力标明作者和出处。本网站转载的目的在于传递更多信息，并不意味着赞同其观点或证实其描述，本网站不对其真实性负责。如您认为本网站刊载作品涉及版权等问题，请与本网站联系(邮箱fawu@gaodun.com，电话：021-31587497)，本网站核实确认后会尽快予以处理。

展开全文咨询在线

严选名师全流程服务

其他人还搜了热门推荐