北美精算考试试题

1. The probability that a visit to a primary care physician’s (PCP) office results in neither lab work nor referral to a specialist is 35% . Of those coming to a PCP’s office, 30% are referred to specialists and 40% require lab work.Determine the probability that a visit to a PCP’s office results in both lab work and referral to a specialist.

(A) 0.05(B) 0.12(C) 0.18(D) 0.25(E) 0.35

2. A study of automobile accidents produced the following data:

An automobile from one of the model years 1997, 1998, and 1999 was involved in an accident.Determine the probability that the model year of this automobile is 1997 .

(A) 0.22(B) 0.30(C) 0.33(D) 0.45(E) 0.50

3. The lifetime of a printer costing 200 is exponentially distributed with mean 2 years. The manufacturer agrees to pay a full refund to a buyer if the printer fails during the first year following its purchase, and a one-half refund if it fails during the second year. If the manufacturer sells 100 printers, how much should it expect to pay in refunds?

(A) 6,321(B) 7,358(C) 7,869(D) 10,256(E) 12,642

4. Let T denote the time in minutes for a customer service representative to respond to 10 telephone inquiries. T is uniformly distributed on the interval with endpoints 8 minutes and 12 minutes. Let R denote the average rate, in customers per minute, at which the representative responds to inquiries.Which of the following is the density function of the random variable R on the interval

(A)12/5(B) 3 (C) (D) (E)

5. Let T1 and T2 represent the lifetimes in hours of two linked components in an electronic device. The joint density function for T1 and T2 is uniform over the region defined by 0 <= t1<= t2<=L where L is a positive constant.Determine the expected value of the sum of the squares of T1 and T2 .

(A)L2/3(B)L2/2(C)2 L2/3(D) 3 L2/4(E) L2

6. Two instruments are used to measure the height, h, of a tower. The error made by the less accurate instrument is normally distributed with mean 0 and standard deviation 0.0056h . The error made by the more accurate instrument is normally distributed with mean 0 and standard deviation 0.0044h . Assuming the two measurements are independent random variables, what is the probability that their average value is within 0.005h of the height of the tower?

(A) 0.38(B) 0.47(C) 0.68(D) 0.84(E) 0.90

7. An insurance company’s monthly claims are modeled by a continuous, positive random

variable X, whose probability density function is proportional to (1 + x)-4 ,

where 0 < x Determine the company’s expected monthly claims.

(A)1/6(B)1/3(C)1/2(D) 1(E) 3

8. A probability distribution of the claim sizes for an auto insurance policy is given in the

table below:

What percentage of the claims are within one standard deviation of the mean claim size?

(A) 45%(B) 55%(C) 68%(D) 85%(E) 100%

9. The total claim amount for a health insurance policy follows a distributionwith density function The premium for the policy is set at 100 over the expected total claim amount.If 100 policies are sold, what is the approximate probability that the insurancecompany will have claims exceeding the premiums collected?

(A) 0.001(B) 0.159(C) 0.333(D) 0.407(E) 0.460

10. An insurance company sells two types of auto insurance policies: Basic and Deluxe. The time until the next Basic Policy claim is an exponential random variable with mean two days. The time until the next Deluxe Policy claim is an independent exponential random variable with mean three days. What is the probability that the next claim will be a Deluxe Policy claim?

(A) 0.172(B) 0.223(C) 0.400(D) 0.487(E) 0.500

11. A company offers a basic life insurance policy to its employees, as well as a supplemental life insurance policy. To purchase the supplemental policy, an employee must first purchase the basic policy.Let X denote the proportion of employees who purchase the basic policy, and Y the proportion of employees who purchase the supplemental policy. Let X and Y have the joint density function f(x,y) = 2(x + y) on the region where the density is positive. Given that 10% of the employees buy the basic policy, what is the probability that fewer than 5% buy the supplemental policy?

(A) 0.010(B) 0.013(C) 0.108(D) 0.417(E) 0.500

12. Let C be the curve defined by x = sin t + t and y = cos t – t,

Find an equation of the line tangent to C at (0, 1) .

(A) y = 1(B) y = 1 + 2x(C) y = 1 – 2x(D) y = 1 –x(E) y = 1 –0.5x

13. For a certain product priced at p per unit, 2000 – 10p units will be sold.Which of the following best represents the graph of revenue, r, as a function of price, p ?

(A) (B) (C) (D) (E)

14. A virus is spreading through a population in a manner that can be modeled by the

function where A is the total population, g(t) is the number infected at time t, and B is a constant.What proportion of the population is infected when the virus is spreading the fastest?

(A)1/3(B)1/2(C)2/3(D)3/4(E) 1

15. In a certain town, the rate of deaths at time t due to a particular disease is modeled by What is the total number of deaths from this disease predicted by the model?

(A) 243(B) 370(C) 556(D) 1,111(E) 10,000

16. The total cost, c, to a company for selling n widgets is c(n) = n2 + 4n + 100 . The price per widget is p(n) = 100 – n .What price per widget will yield the maximum profit for the company?

(A) 50(B) 76(C) 96(D) 98(E) 100

17. An insurance company has 120,000 to spend on the development and promotion of a new insurance policy for car owners. The company estimates that if x is spent on development and y is spent on promotion, then policies will be sold.Based on this estimate, what is the maximum number of policies that the insurance company can sell?

(A) 3,897(B) 9,000(C) 11,691(D) 30,000(E) 90,000

18. An insurance policy reimburses dental expense, X, up to a maximum benefit of 250 . The probability density function for X is: where c is a constant.Calculate the median benefit for this policy.

(A) 161(B) 165(C) 173(D) 182(E) 250

19. In an analysis of healthcare data, ages have been rounded to the nearest multiple of 5 years. The difference between the true age and the rounded age is assumed to be uniformly distributed on the interval from _2.5 years to 2.5 years. The healthcare data are based on a random sample of 48 people. What is the approximate probability that the mean of the rounded ages is within 0.25 years of the mean of the true ages?

(A) 0.14(B) 0.38(C) 0.57(D) 0.77(E) 0.88

20. Let X and Y denote the values of two stocks at the end of a five-year period. X is uniformly distributed on the interval (0, 12) . Given X = x, Y is uniformly distributed on the interval (0, x) . Determine Cov(X, Y) according to this model.

(A) 0(B) 4(C) 6(D) 12(E) 24

21. A ball rolls along the polar curve defined by r = sin . The ball starts at = 0 and ends at Calculate the distance the ball travels.

(A) (B) (C) (D) (E)

22. An actuary determines that the annual numbers of tornadoes in counties P and Q are jointly distributed as follows:

Calculate the conditional variance of the annual number of tornadoes in county Q, given

that there are no tornadoes in county P .

(A) 0.51(B) 0.84(C) 0.88(D) 0.99(E) 1.76

23. An insurance policy is written to cover a loss X where X has density function The time (in hours) to process

a claim of size x, where 0 _ x _ 2, is uniformly distributed on the interval from x to 2x .Calculate the probability that a randomly chosen claim on this policy is processed in three hours or more.

(A) 0.17(B) 0.25(C) 0.32(D) 0.58(E) 0.83

24. An actuary has discovered that policyholders are three times as likely to file two claims as to file four claims.If the number of claims filed has a Poisson distribution, what is the variance of the number of claims filed?

(A) (B) 1(C) (D) 2(E) 4

25. An advertising executive claims that, through intensive advertising, 175,000 of a city’s 3,500,000 people will recognize the client’s product after one day. He further claims that product recognition will grow as advertising continues according to the relationship an+1 = 0.95an +175,000, where an is the number of people who recognize the client’s product n days after advertising begins. If the advertising executive’s claims are correct, how many of the city’s 3,500,000 people will not recognize the client’s product after 35 days of advertising?

(A) 552,227(B) 561,468(C) 570,689(D) 581,292(E) 611,886

26. The bond yield curve is defined by the function y(x) for 0 < x _ 30 where y is the yield on a bond which matures in x years. The bond yield curve is a continuous, increasing function of x and, for any two points on the graph of y, the line segment connecting those points lies entirely below the graph of y . Which of the following functions could represent the bond yield curve?

(A) y(x) = a a is a positive constant(B) y(x) = a + kx a, k are positive constants(C) , k are positive constants(D) y(x) = , k are positive constants(E) y(x) = a + k log(x + 1) a, k are positive constants

27. A car dealership sells 0, 1, or 2 luxury cars on any day. When selling a car, the dealer also tries to persuade the customer to buy an extended warranty for the car. Let X denote the number of luxury cars sold in a given day, and let Y denote the number of extended warranties sold.

P(X = 0, Y = 0) =1/6 P(X = 1, Y = 0) =1/12 P(X = 1, Y = 1) =1/6 P(X = 2, Y = 0) =1/12

P(X = 2, Y = 1) =1/3 P(X = 2, Y = 2) =1/6 What is the variance of X ?

28. Inflation is defined as the rate of change in price as a function of time. The figure below is a graph of inflation, I, versus time, t . Price at time t = 0 is 100 . What is the next time at which price is 100 ?

(A) At some time t, t (0, 2) .(B) 2(C) At some time t, t (2, 4) .(D) 4(E) At some time t, t (4, 6) .

29. An investor buys one share of stock in an internet company for 100 . During the first four days he owns the stock, the share price changes as follows (measured relative to the

prior day’s price): If the pattern of relative price movements observed on the first four days is repeated indefinitely, how will the price of the share of stock behave in the long run?

(A) It converges to 0.00 .(B) It converges to 99.45 .(C) It converges to 101.25 .(D) It oscillates between two finite values without converging.(E) It diverges to .

30. Three radio antennas are located at points (1, 2), (3, 0) and (4, 4) in the xy-plane. In order to minimize static, a transmitter should be located at the point which minimizes the sum of the weighted squared distances between the transmitter and each of the antennas. The weights are 5, 10 and 15, respectively, for the three antennas. What is the x-coordinate of the point at which the transmitter should be located in order to minimize static?

(A) 2.67(B) 3.17(C) 3.33(D) 3.50(E) 4.00

31. Let R be the region bounded by the graph of x2 + y2 = 9 .

Calculate

(A) (B) (C) (D) (E)

32. A study indicates that t years from now the proportion of a population that will be

infected with a disease can be modeled by Determine the time when the actual proportion infected equals the average proportion infected over the time interval from t = 0 to t = 3 .

(A) 1.38(B) 1.50(C) 1.58(D) 1.65(E) 1.68

33. A blood test indicates the presence of a particular disease 95% of the time when the

disease is actually present. The same test indicates the presence of the disease 0.5% of

the time when the disease is not present. One percent of the population actually has the

disease.Calculate the probability that a person has the disease given that the test indicates the presence of the disease.

(A) 0.324(B) 0.657(C) 0.945(D) 0.950(E) 0.995

34. An insurance policy reimburses a loss up to a benefit limit of 10 . The policyholder’s

loss, Y, follows a distribution with density function:

What is the expected value of the benefit paid under the insurance policy?

(A)1.0(B) 1.3(C) 1.8(D) 1.9(E) 2.0

35. A company insures homes in three cities, J, K, and L . Since sufficient distance separates the cities, it is reasonable to assume that the losses occurring in these cities are independent. The moment generating functions for the loss distributions of the cities are:

MJ(t) = (1 – 2t)-3 MK(t) = (1 – 2t)-2.5 ML(t) = (1 – 2t)-4.5 Let X represent the combined losses from the three cities.Calculate E(X3) .

(A) 1,320(B) 2,082(C) 5,760(D) 8,000(E) 10,560

36. In modeling the number of claims filed by an individual under an automobile policy

during a three-year period, an actuary makes the simplifying assumption that for all integers , where pn represents the probability that the policyholder files n claims during the period.Under this assumption, what is the probability that a policyholder files more than one claim during the period?

(A) 0.04(B) 0.16(C) 0.20(D) 0.80(E) 0.96

37. Let S be the surface described by f(x,y) = arctany/x Determine an equation of the plane tangent to S at the point

(A) (B) (C) (D) (E)

38. An insurance policy is written to cover a loss, X, where X has a uniform distribution

on [0, 1000] .At what level must a deductible be set in order for the expected payment to be 25% of what it would be with no deductible?

(A) 250(B) 375(C) 500(D) 625(E) 750

39. An insurance policy is written that reimburses the policyholder for all losses incurred up to a benefit limit of 750 . Let f(x) be the benefit paid on a loss of x .Which of the following most closely resembles the graph of the derivative of f ?

(A) (B) (C) (D) (E)

40. A company prices its hurricane insurance using the following assumptions:(i) In any calendar year, there can be at most one hurricane.(ii) In any calendar year, the probability of a hurricane is 0.05 .(iii) The number of hurricanes in any calendar year is independent

of the number of hurricanes in any other calendar https://www.wendangku.net/doc/fc13654841.html,ing the company’s assumptions, calculate the probability that there are fewer than 3 hurricanes in a 20-year period.

Course 1 May 2000 Answer Key

1. A 21. B

2. D 22. D

3. D 23. A

4. E 24. D

5. C 25. D

6. D 26. E

7. C 27. B

8. A 28. C

9. B 29. A

10. C 30. B

11. D 31. D

12. E 32. D

13. E 33. B

14. B 34. D

15. C 35. E

16. B 36. A

17. C 37. B

18. C 38. C

19. D 39. C

20. C 40. E

中国精算师资格考试体系简介

中国精算师资格考试体系简介 中国精算师资格考试体系简介中国精算师资格考试体系简介建立中国保险精算制度的基本思路是在其保险精算监管系统中实行首席精算师签字的精算报告制度，制度本身包括两个方面的内容：中国精算师认可制度和保险公司的精算报告制度。 1、中国精算师认可制度 认可制度中国保险业的精算师认可制度是实行考试认可制度。考生通过保险监管部门要求的全部课程考试，可取得中国精算师考试合格证书。 纵观世界各国，大体有两种精算师认可制度。一是考试认可制度，即设定一系列考试课，无论什么教育背景，只要通过全部考试，即可获得精算师资格。这以北美精算师协会和英国精算师协会的考试最为典型，属于这种类型的国家有英、美、加、澳、日本等国家。二是学历认可制度，通常在大学设立精算专业，类似于准精算师和精算师水平，分本科和研究生两个阶段，精算专业研究生毕业，即可获得精算师资格。属于这种类型的有德、法、意、瑞士、西班牙、荷兰、巴西、墨西哥等国家。这两种制度也有其共同点，一是对保险公司的指定精算师或首席精算师，除要求精算师资格外，还要求最低的精算专业从业年限，强调精算工作业绩。 中国精算教育始于1988年南开大学招收第一届中美联合培养

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PAK Study Manual QF-北美精算师(QFIQF)

Intro-Maths-Fin-1 Financial Derivatives (A Brief Introduction ) Background This chapter deals with the two basic building blocks of financial derivatives: 1. Options 2. Forwards and futures. We briefly introduce the third class of derivative: swap. We see how a complex swap can be decomposed into a number of forwards and options. Definitions Derivatives securities are financial contracts that ‘derive’ their value from cash market instruments such as stocks, bonds, currencies and commodities. At the time of the maturity of the derivative contract, denoted by T , the price F(T) of the derivative asset is completely determined by the market price of the underlying asset (S T ). For instance, the value at maturity (T ) of a long position in a call option of strike (K) written on an asset (S T ) is: Max [S T ?K ;0] Also, the value of time T of a long position in a forward contract of forward price (F) written on an underlying asset worth (S(T) at time T is given by: S (T )?F Types of derivatives We group derivatives into three general headings: 1. Futures, Forwards, Repos, Reverse Repos and Flexible Repos (Basic building blocks ) 2. Options and 3. Swaps Many of these instruments will be discussed in other parts of the syllabus for the QF Exam. The underlying asset : We let (S t ) represent the price of the relevant cash instrument, which we call the underlying asset . The five main groups of underlying asset : We list five main groups of underlying assets:

【SOA】我用这个秘诀,快速搞定美国精算师FM考试

我用这个秘诀，快速搞定北美精算师考试FM 科目…… 宏景4月传捷报， 北美精算师考试看宏景。 宏景国际教育在北美精算师SOA考试 2018年3月期的Exam FM通过率再创辉煌！ 近日，2018年3月的北美精算师考试Exam FM科目考试成绩公布，宏景学员ZHUOFU LI、XIAOFENG YAN、YIDAN CAO、CHONGPU LIU、LAN LIU、JINPENG GAO、JING LIANG等又一批学员在准精算师ASA阶段考试中，Exam FM 考试内容合格。 接下来，让我们来一睹学员Exam FM 考试合格成绩截图（因涉及信息保护，只展示部分学员成绩截图）★

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北美精算师考试内容及考试制度精算师考试.doc

北美精算师考试制度分为二个阶段：第一阶段是准精算师（ＡＳＡ）。目前对准精算师的考试要求为300学分。除了100系列的11门课程（复利数学、精算数学等）外，还须通过200系列的4门课程（经济保障计划、精算实务等）。每门课在10至30学分不等。 学员在获得300学分后即成为ASA，之后可继续考FSA课程。ASAl00系列的11门课程的考试均采用英文试卷，选择题形式，考试时间分别为1个半小时至4个小时不等；200系列采用英语书写答题形式。考生是否通过某一门课程考试以及所获得的分数，是到该课程全部试卷批完后，按成绩顺序排列后确定的。 第二阶段是精算师（ＦＳＡ）。考生在取得准精算师资格证书后方可参加ＦＳＡ课程考试。目前把精算师的考试课程分为财务、团体与健康保险、个人人寿与健康保险、养老金、投资五个方向，每个方向又分若干门课，每门课学分在10至30分不等。要取得ＦＳＡ资格必须通过以上一个方向的所有课程考试，以及再选择以上方向的其他课程，使学分达到150分，即学分总计要达到450分。当ＦＳＡ要素的课程考试全部通过后，考生还要参加最后一门课程：正式精算师认可课程（ＦＡＣ），其内容主要是职业道德和案例，时间为二天半，一般只要自始至终参加，在结束后的晚宴上会获得ＦＳＡ证书。 北美精算师协会的考点分布在全世界各个国家和地区，考试每年5月和11月举行两次，考试时间由北美精算师协会确定，世界各地统一，考卷由北美精算师协会提供。

报名及考试地点：南开大学、湖南财经学院、复旦大学、中国人民大学、中山大学、中国科技大学、陕西财经学院、平安总公司 北美精算学会考试课程 准精算师考试： 100系列课程：100微积分和线性代数、110概率论和数理统计、120应用统计、130运筹学、135数值分析、140复利数学、150精算数学、151风险理论、160生存模型和生命表编制、161人口数学、165匀修数学 200系列课程：200经济保障计划概论、210精算实务概论、220资产管理和公司财务概论、230资产和负债管理原理 正精算师的考试课程分为五个方向： 一财务 包括科目：财务管理、公司财务等 二团体和健康保险 包括科目：团体和个人健康保险的设计和销售等 三个人人寿和年金保险 包括科目：个人人寿和年金保险的精算实务调查、人寿保险法和税收等 四养老金

北美精算师ASA如何申请

北美精算师ASA如何申请 1.哪些人适合申请精算？ 这里所说的适合包含两层含义，一层是自己觉得适合，另一层是自己具备一定条件有把握收到ADMISSION或OFFER. 先说第一层，何为自己觉得适合？这里需要考虑几个问题。第一个问题是你选择专业的指导思想是什么？兴趣，热门，高薪……? 如果你选的是第一个答案那你继续往下看。第二个问题是你是否对数学感兴趣，你是否有很强的分析能力和business sense, 你是否愿意一辈子和模型打交道？这个问题的思考不仅有助于你的PS写作,而且对你今后的CAREER有指导意义，因为有些人选了精算专业，工作后才发现虽然年薪很高，可是自己事业上却有点力不从心。 第二层，你申请的胜算有多少？ 首先，我们把申请人群作个区分。申请人大致可分为在中国的和在美国的。这个区分相当重要，因为他们的录取机会相差很大。明确了自己属于哪个申请群，你就知道自己的竞争对手和应该怎样使你的申请材料超越对手。 如果你在美国，那恭喜你。只要你有足够的MONEY，录取不是件很难的事。不管你以前是学什么专业的，你都有机会被录取。 计算机，机械，环境，英语，文学，教育……NO PROBLEM! 美国的高等教育很普及，大学只要你有钱都能上。有些人可能想不通，为

什么念英语的也能念精算？但是，这就是事实。在这念精算的中国人很多，背景五花八门，不过大家都念得很好。 如果你在中国，那也恭喜你，因为你受到了挑战。人生有什么比受到挑战更快乐的了？它使你超越别人和自我。拿破仑说过：我感谢困难，因为它像篱笆，把不如我的都挡在了后面。 挑战之一来自你的专业，因为你属于这个申请群，所以你的专业必须和精算有联系。这包括数学，统计，金融（保险，投资，银行），会计等等。 挑战之二来自你的背景。因为国内的申请人数庞大，所以你必须脱颖而出。你的竞争对手很强，你必须比他们更强。 挑战之三来自你的签证。美国签证很难，精算签证尤胜。 看到这有些人垂头丧气，有些人手舞足蹈。前者对生活抱悲观态度，后者则用乐观向上的精神指引人生。你属于哪种？你希望自己是哪种？要不要改变？申请的过程是痛苦的，每个人都会有软弱的时候，你必须有一个强大的精神支柱！ 2、材料的准备 所有申请材料中两样东西最重要，成绩单和PS。成绩单是死的，PS是活的。 如果你是大一大二或者大三，那你的成绩单也是活的，趁着在校多修修很精算有关的课程。 以下着重阐述PS写作。

北美精算师考试官方样题2015-12-exam-fm-syllabus

Financial Mathematics Exam—December 2015 The Financial Mathematics exam is three-hour exam that consists of 35 multiple-choice questions and is administered as a computer-based test. For additional details, please refer to Exam Rules The goal of the syllabus for this examination is to provide an understanding of the fundamental concepts of financial mathematics, and how those concepts are applied in calculating present and accumulated values for various streams of cash flows as a basis for future use in: reserving, valuation, pricing, asset/liability management, investment income, capital budgeting, and valuing contingent cash flows. The candidate will also be given an introduction to financial instruments, including derivatives, and the concept of no-arbitrage as it relates to financial mathematics. The Financial Mathematics Exam assumes a basic knowledge of calculus and an introductory knowledge of probability. The following learning objectives are presented with the understanding that candidates are allowed to use specified calculators on the exam. The education and examination of candidates reflects that fact. In particular, such calculators eliminate the need for candidates to learn and be examined on certain mathematical methods of approximation. Please check the Updates section on this exam's home page for any changes to the exam or syllabus. Each multiple-choice problem includes five answer choices identified by the letters A, B, C, D, and E, only one of which is correct. Candidates must indicate responses to each question on the computer. Candidates will be given three hours to complete the exam. As part of the computer-based testing process, a few pilot questions will be randomly placed in the exam (paper and pencil and computer-based forms). These pilot questions are included to judge their effectiveness for future exams, but they will NOT be used in the scoring of this exam. All other questions will be considered in the scoring. All unanswered questions are scored incorrect. Therefore, candidates should answer every question on the exam. There is no set requirement for the distribution of correct answers for the multiple-choice preliminary examinations. It is possible that a particular answer choice could appear many times on an examination or not at all. Candidates are advised to answer each question to the best of their ability, independently from how they have answered other questions on the examination. Since the CBT exam will be offered over a period of a few days, each candidate will receive a test form composed of questions selected from a pool of questions. Statistical scaling methods are used to ensure within reasonable and practical limits that, during the same testing period of a few days, all forms of the test are comparable in content and passing criteria. The methodology that has been adopted is used by many credentialing programs that give multiple forms of an exam. The ranges of weights shown in the Learning Objectives below are intended to apply to the large majority of exams administered. On occasion, the weights of topics on an individual exam may fall outside the published range. Candidates should also recognize that some questions may cover multiple learning objectives.

【SOA】关于北美精算师,你必须知道的入门级知识——Exam P

关于北美精算师，你必须知道的入门级知识——Exam P 成为一名北美准精算师（ASA）必须要经历五门SOA的准精算师考试，而其中最简单也是大部分人最先开始学习准备的就是Exam P，即probability。顾名思义，Exam P考察的就是最基本的数理统计与概率问题。下面我们就来了解一下Exam P的考试形式与内容。 考试目的 考生可以掌握用于定量评估风险的基本的概率方法，并着重于用这些方法应用解决精算学中遇到的问题。参加这门考试的考生应具有一定的微积分基础，并了解基本的概率、保险和风险管理的概念。 考试形式 Exam P采用机考的形式，总共30道单项选择题，考试时间为3个小时。每道选择题共有5个选项，其中只有一个正确选项。 与SAT考试不同的是，Exam P考试答错并不会额外扣分，也就是说考生一定不要空任何一道题。Exam P中会随机分布几道“pilot question”，这些题目是主办方用来分析从而改进将来的考试而出现的，它们的正确与否并不会影响到考生的实际分数。但是由于考生并无法分辨出这些题目，所以对每一道题目，考生都要同样认真地对待。 考试内容

概率（占总分10%－20%） 最基本的事件概率计算问题。包括集合方程与表示（sat functions）、互斥事件（mutually exclusive events）、事件独立性（independence of events）、组合概率（Combinatorial probability）、条件概率（Conditional probability）以及贝叶斯定理（Bayes theorem）等。 拥有单因素概率分布的随机变量（占总分35%－45%） 连续分布或离散分布的单因素随机变量的研究。包括PDF&CDF（Probability density functions and Cumulative distribution functions）、独立随机事件的和的分布、众数（Mode）、中位数（Median）、百分位数（Percentile）、动差（Moment）、方差（Variance）以及变形等问题。 拥有多因素概率分布的随机变量（占总分35%－45%） 包括联合PDF&CDF、中心极限定理（central limit theorem）、条件与边缘概率分布与动差（Conditional and marginal probability distributions and moments）、条件与边缘概率分布的方差、协方差与概率系数（Covariance and correlation coefficients）以及变换与顺序统计（Transformation and order statistics）等。 提醒：众所周知，2018年7月1日起，SOA新课程体系将正式生效，其中Exam P科目不变，考试大纲有变动，具体有那些变化？？？后台回复“Exam P”免费获取Exam P最新考试大纲。 考试时间

北美精算师(SOA)考试 FM 2001 November 年真题

November 2001 Course 2 Interest Theory, Economics and Finance Society of Actuaries/Casualty Actuarial Society

1.Ernie makes deposits of 100 at time 0, and X at time 3 . The fund grows at a force of interest 2 100 t t δ=, t > 0 . The amount of interest earned from time 3 to time 6 is X. Calculate X. (A)385 (B)485 (C)585 (D)685 (E)785

2.The production of a good requires two inputs, labor and capital. At its current level of daily output, a competitive firm employs 100 machine hours of capital and 200 labor hours. The marginal product of machine hours is 10 units. The marginal product of labor hours is 5 units. The rental rate, or “price,” of capital is 20 per machine hour. If the firm minimizes its costs, what is the hourly wage rate? (A) 2.5 (B) 5.0 (C)10.0 (D)20.0 (E)40.0

【北美精算师资格考试】ASA---exam-p 【考试说明】-----即概率论考试

Probability Exam The Probability Exam is a three-hour multiple choice examination and is referred to as Exam P by the SOA and Exam 1 by the CAS. The examination is jointly sponsored and administered by the SOA, CAS, and the Canadian Institute of Actuaries (CIA). The examination is also jointly sponsored by the American Academy of Actuaries (AAA) and the Conference of Consulting Actuaries (CCA). The Probability Exam is administered as a computer-based test. For additional details, Please refer to “Computer-Based Testing Rules and Procedures”. The purpose of the syllabus for this examination is to develop knowledge of the fundamental probability tools for quantitatively assessing risk. The application of these tools to problems encountered in actuarial science is emphasized. A thorough command of the supporting calculus is assumed. Additionally, a very basic knowledge of insurance and risk management is assumed. A table of values for the normal distribution is available below for candidates to download and will be included with the examination. Since the table will be included with the examination, candidates will not be allowed to bring copies of the table into the examination room. Check the Updates section on this exam’s home page for any changes to the exam or syllabus. LEARNING OUTCOMES Candidates should be able to use and apply the following concepts in a risk management context: 1. General Probability ?Set functions including set notation and basic elements of probability ?Mutually exclusive events ?Addition and multiplication rules ?Independence of events ?Combinatori a l probability ?Conditional probability ?Bayes Theorem / Law of total probability 2. Univariate probability distributions (including binomial, negative binomial, geometric, hypergeometric, Poisson, uniform, exponential, gamma, and normal) ?Probability functions and probability density functions ?Cumulative distribution functions ?Mode, median, percentiles, and moments ?Variance and measures of dispersion ?Moment generating functions ?Transformations 3. Multivariate probability distributions (including the bivariate normal) ?Joint probability functions and joint probability density functions ?Joint cumulative distribution functions ?Central Limit Theorem ?Conditional and marginal probability distributions ?Moments for joint, conditional, and marginal probability distributions

北美精算师考试内容及考试制度

北美精算师考试内容及考试制度 北美精算师考试内容及考试制度北美精算师考试内容及考试制度 北美精算师考试制度分为二个阶段：第一阶段是准精算师（ａｓａ）。目前对准精算师的考试要求为300学分。除了100系列的11门课程（复利数学、精算数学等）外，还须通过200系列的4门课程（经济保障计划、精算实务等）。每门课在10至30学分不等。 学员在获得300学分后即成为asa，之后可继续考fsa课程。asal00系列的11门课程的考试均采用英文试卷，选择题形式，考试时间分别为1个半小时至4个小时不等；200系列采用英语书写答题形式。考生是否通过某一门课程考试以及所获得的分数，是到该课程全部试卷批完后，按成绩顺序排列后确定的。 第二阶段是精算师（ｆｓａ）。考生在取得准精算师资格证书后方可参加ｆｓａ课程考试。目前把精算师的考试课程分为财务、团体与健康保险、个人人寿与健康保险、养老金、投资五个方向，每个方向又分若干门课，每门课学分在10至30分不等。要取得ｆｓａ资格必须通过以上一个方向的所有课程考试，以及再选择以上方向的其他课程，使学分达到150分，即学分总计要达到450分。当ｆｓａ要素的课程考试全部通过后，考生还要参加最后一门课程：正式精算师认可课程（ｆａｃ），其内容主要是职业道德和案例，时间为二天

半，一般只要自始至终参加，在结束后的晚宴上会获得ｆｓａ证书。 北美精算师协会的考点分布在全世界各个国家和地区，考试每年5月和11月举行两次，考试时间由北美精算师协会确定，世界各地统一，考卷由北美精算师协会提供。 报名及考试地点：南开大学、湖南财经学院、复旦大学、中国人民大学、中山大学、中国科技大学、陕西财经学院、平安总公司北美精算学会考试课程 准精算师考试： 100系列课程：100微积分和线性代数、110概率论和数理统计、120应用统计、130运筹学、135数值分析、140复利数学、150精算数学、151风险理论、160生存模型和生命表编制、161人口数学、165匀修数学 200系列课程：200经济保障计划概论、210精算实务概论、220资产管理和公司财务概论、230资产和负债管理原理正精算师的考试课程分为五个方向： 一财务包括科目：财务管理、公司财务等 二团体和健康保险包括科目：团体和个人健康保险的设计和销售等 三个人人寿和年金保险包括科目：个人人寿和年金保险的精算实务调查、人寿保险法和税收等 四养老金包括科目：养老金估价原理i、退休计划设计等

北美精算师(SOA)考试MFE 2012年4月课程大纲

Models for Financial Economics—April 2012 The Models for Financial Economics is called Exam MFE by the SOA and Exam 3F by the CAS. This three-hour exam consist of 30 multiple-choice questions. Also, a normal distribution calculator will be available during the test by clicking a link on the item screen. Details are available on the Prometric Web Site. The examination is jointly sponsored and administered by the SOA, CAS, and the Canadian Institute of Actuaries (CIA). The examination is also jointly sponsored by the American Academy of Actuaries (AAA) and the Conference of Consulting Actuaries (CCA). The purpose of the syllabus is to develop the candidate’s knowledge of the theoretical basis of certain actuarial models and the application of those models to insurance and other financial risks. A thorough knowledge of calculus, probability, interest theory and the earlier chapters of the McDonald textbook (which are in the syllabus of Exam FM/2) is assumed. Formulas are provided for the density and distribution functions for the standard normal and lognormal random variables. For paper and pencil examinations, tables of the standard normal distribution function are provided. Since the tables will be provided to the candidate at the examination, candidates will not be allowed to bring copies of the tables into the examination room. For CBT candidates, a normal distribution calculator is provided. See the link below for more information. Note: It is anticipated that candidates will have done the relevant exercises in the textbooks. Check the Updates section of the web site for any changes to the exam or syllabus. The ranges of weights shown are intended to apply to the large majority of exams administered. On occasion, the weights of topics on an individual exam may fall outside the published range. Candidates should also recognize that some questions may cover multiple learning outcomes. Each multiple-choice problem includes five answer choices identified by the letters A, B, C, D, and E, only one of which is correct. Candidates must indicate responses to each question on the computer. As part of the computer-based testing process, a few pilot questions will be randomly placed in the exam (paper and pencil and computer-based forms). These pilot questions are included to judge their effectiveness for future exams, but they will NOT be used in the scoring of this exam. All other questions will be considered in the scoring. All unanswered questions are scored incorrect. Therefore, candidates should answer every question on the exam. There is no set requirement for the distribution of correct answers for the SOA/CAS/CIA multiple-choice preliminary examinations. It is possible that a particular answer choice could appear many times on an examination or not at all. Candidates are advised to answer each question to the best of their ability, independently from how they have answered other questions on the examination. Since the CBT exam will be offered over a period of a few days, each candidate will receive a test form composed of questions selected from a pool of questions. Statistical scaling methods are used to ensure within reasonable and practical limits that, during the same testing period of a few days, all forms of the test are comparable in content and passing

精算师四大主流考试体系

精算师四大主流考试体系 中国精算师 中国精算师资格考试自1999年诞生，是中国保险监督委员会目前正式承认的精算师资格考试。凡大学本科（或同等学历）以上学历，不论专业均可报名（受过刑事处罚、违反金融法等人员除外）。 中国精算师资格考试分为两个层次，第一为准精算师资格考试，第二为精算师资格考试。考题形式为标准试题和笔答题，考试采用学分制。准精算师考试目的在于考查考生对保险精算的基本原理和技能的掌握，并涉及基本保险精算实务，考试课程共设9门，均为必考课程。考生通过全部基础课程考试，获得270学分，可以获得准精算师考试合格证书。 精算师考试部分共有10门课程，其中3门必考课和7门选考课，考生必须通过3门必考课程、2门选考课程的考试。精算师高级课程考试共130学分，90学分必考学分，40学分选考学分。考生在通过全部课程的考试后，还需要请一名资深的中国精算师指导，在专业领域工作两年，并有一篇专业报告，经答辩合格后，方取得精算考试合格证书。 北美精算师 北美精算师考试由北美精算师协会设立，是目前国际上最具影响力的精算师资格考试。 北美精算师考试采取学分制，分准精算师（ASA）与正精算师（FSA）两个等级，学员在获得300学分后即成为ASA，之后可继续考FSA课程。ASAl00系列的11门课程的考试均采用英文试卷，选择题形式，考试时间分别为1个半小时至4个小时不等；200系列采用英语书写答题形式。考生是否通过某一门课程考试以及所获得的分数，是到该课程全部试卷批完后，按成绩顺序排列后确定的。 正精算师的考试课程分为财务、团体和健康保险、个人人寿和年金保险、养老金、投资五个方向，要取得FSA资格必须通过某一个方向的所有课程考试，再选择其他方向的若干门课程，使学分达到150分，即学分总计要达到450分。此外，当FSA 要求的课程考试全部通过后，考生还要参加最后一门课程———正精算师认可课程FAC ，其内容主要是职业道德和案例，时间为两天半，一般只要自始至终参加，在结束后的晚上会获得FSA证书。