April119: 00-12: 0001Math Foundation 1

14:00- 16:00 03 compound interest mathematics

April 12 9:00- 12:00 09 Comprehensive Economic Foundation

14:00- 17:00 02 Mathematical Foundation Ⅱ

April 13 9:00- 12:00 06 Life Table Basis

14: 00- 16: 00 05 risk theory

April 14 9:00- 12:00 07 Actuarial Practice of Life Insurance

14: 00- 17: 00 08 non-life insurance actuarial mathematics and practice

April 15 8:30- 12:30 04 actuarial mathematics of life insurance

14: 00-17: 00012 insurance law and related regulations.

April168: 30-12: 30011Insurance Company Financing

Examination category

2009 Spring China Actuary Qualification Examination-Examination Guide

The first part is the qualification examination of actuaries in China

Some subjects of quasi-actuary 0 1 ~ 09

0 1 Mathematical Basis Ⅰ

Examination time: 3 hours

Examination form: objective judgment questions

Examination content and requirements:

Candidates should master the basic concepts and main contents of calculus, linear algebra and operational research.

A. Calculus (fraction ratio is about 60%)

1. Function, Limit and Continuity

2. Unary function calculus

3. Multivariate function calculus

4. Series

5. Ordinary differential equations

B. Linear Algebra (score ratio is about 30%)

1. Determinants

2.[ number] matrix

3. Linear equation

4. Vector space

5. Eigenvalues and eigenvectors

6. Quadratic type

C. operational research (the score is about 10%)

1. linear programming

2. Integer programming

3. Dynamic planning

Bibliography:

1. Advanced Mathematics Lecture Notes (Second Mathematical Analysis) edited by Fan Yingchuan Higher Education Press (this book can be purchased online) or other advanced mathematics textbooks containing content A.

2. "Linear Algebra" Hu Xianyou Sichuan People's Publishing House (this book can be purchased online) or other linear algebra textbooks with content B.

3. Operations Research (Revised Edition) 1990 Tsinghua University Publishing House (this book can be purchased online) or other teaching materials of operations research with content C.

02 Mathematical Basis Ⅱ

Examination time: 3 hours

Examination form: objective judgment questions

Examination content and requirements:

A. Probability theory (fractional proportion is about 50%)

1. Probability calculation, conditional probability, total probability formula and Bayesian formula.

2. Digital characteristics and characteristic functions of random variables;

3. Calculation of joint distribution law, marginal distribution function and marginal probability density

4. Law of large numbers and its application

5. Conditional expectation and conditional variance

6. Distribution function, expectation and variance of mixed random variables.

B. Mathematical statistics (score ratio is about 35%)

1. statistics and its distribution

2. Parameter estimation

3. Hypothesis test

4. Analysis of variance

5. Correlation analysis

C. Applied statistics (score ratio is about 15%)

1. Regression analysis

2. Time series analysis (moving smoothing, exponential smoothing and ARIMA model)

Bibliography:

1, Probability Theory and Mathematical Statistics, edited by Zhou, China Statistics Publishing House, July 1996, 1 Edition.

2. Statistical Prediction-Method and Application, edited by Yi Danhui, China Statistics Publishing House, first edition 5438+0 in April 2006.

In addition to the above reference books, you can also refer to other reference books at the same level.

03 compound interest mathematics

Examination time: 2 hours.

Examination form: objective judgment questions

Examination content and requirements:

1. Basic concept of interest (score: 8%- 15%)

2. Annuity (percentage: 20%-25%)

3. Yield (score ratio: 15%-25%)

4. Debt repayment (score ratio: 15%-25%)

5. Bonds and other securities (score: 20-25%)

6. Application of interest theory and financial analysis (score ratio: 6%- 15%)

7. Interest rate risk estimation: duration, convexity and its application in bond value analysis (scoring ratio: 3%-5%)

Bibliography:

Interest Theory (a book for Chinese actuary qualification examination), edited by Liu, China Financial and Economic Publishing House, 1 1, 2006, chapter 1 ~ 5, chapter 6, section 6. 1.

Actuarial mathematics of life insurance

Examination time: 4 hours

Examination form: objective judgment questions

Examination content and requirements:

Candidates should master the life table, pure premium (wholesale payment, balance), liability reserve (balance, correction), total premium, multivariate life function, multivariate risk model and other main contents. Able to skillfully use the concept of actuarial present value and balance principle to calculate pure premium, annuity and liability reserve. Understand the difference between pure premium and total premium. For multivariate life function and multivariate risk model, I can skillfully use the concept of actuarial present value and balance principle to calculate pure premium and annuity. Understand the actuarial method of pension plan.

A. Survival distribution and life table (score ratio is about 10%)

1. Various survival distributions and their characteristics, such as the moment of the sum of density function, mortality and remaining life variables.

2. The structure of life table and its measurement indicators, such as,

3. Assumption about fractional age

B. Pay the pure premium in one lump sum (the proportion is about 10%)

1. Actuarial present value

2. Discrete and continuous life insurance models and their pure premium calculation.

3. Variance of present value variables

4. The relationship between discrete and continuous pure premiums under the assumption of uniform death.

C. Survival annuity (fractional ratio is about 10%)

1. discrete and continuous survival annuity model and its pure premium calculation

2. Variance of present value random variable

3. Two special survival annuities

A. Full annuity at the end of the period

B. proportional initial annuity

4. Recursive relationship between pure premium of life insurance and survival annuity

5. The relationship between the pure premium of life insurance and the pure premium of survival annuity.

D. Balanced pure premium (fractional ratio is about 15%)

1. Balance principle

2. Annual pure premium paid by various life insurance modes (completely discrete, completely continuous, semi-continuous and paid once a year)

3. Variance of loss variables

4. Two special life insurance modes

Life insurance with partially refundable premium (the corresponding pure premium is called proportional premium)

B. Life insurance that benefits from accumulated appreciation

E pure premium balance liability reserve (score ratio is about 20%)

1. the principle of balance and the generation of liability reserve

2. Liability reserves for various life insurance models (fully discrete, fully continuous, semi-continuous and paid once a year)

3. Variance of loss variables

4. Four common calculation methods of liability reserve

5. Proportional liability reserve

6. A decomposition (or calculation) method of liability reserve: the loss is shared by each policy year.

F. Total premium and revised reserve (fractional ratio is about 10%)

1. Insurance model with expenses

2. Generalized equilibrium principle and calculation of total premium.

3. Total premium reserve

4. Various revised reserves

G. multivariate life function (scoring rate is about 10%)

1. Continuous living conditions and final living conditions

2. Distribution of continuous and discrete future time variables.

3. Dependent life model

4. Actuarial present value of lump sum pure premium and annuity

5. One-time pure premium considering the order of death

6. Calculation of one-time pure premium under special assumptions

H. Multiple risk model (scoring rate is about 10%)

1. Joint distribution and marginal distribution of survival time and termination reasons

2. One-time payment of pure premium

3. Construction of adjoint single risk table and multi-risk table.

First, the pension plan (the score ratio is about 5%)

1. Basic concepts and functions of pension plan

2. Actuarial present value of contributions

3. Actuarial present value of old-age pension

Bibliography:

1. revised edition of actuarial mathematics of life insurance (written by China actuary qualification examination), edited by Lu fangxian and Zhang, edited by Lu fangxian and Zeng, China financial and economic publishing house,1February 2006 edition (main reference book).

2. Li Yongquan, Actuarial Life Insurance, China Financial and Economic Publishing House, June 5-4, 2006, 38+ 10.

05 risk theory

Examination time: 2 hours.

Examination form: objective judgment questions

Examination content and requirements:

Candidates should deeply understand and master the basic insurance risk models: short-term individual risk model, short-term aggregate risk model, long-term aggregate risk model, and the related properties of these models; Master utility function and expected utility principle, and the application of expected utility principle in insurance pricing; Master the basic methods of stochastic simulation. At the same time, candidates are also required to understand the general statistical methods of loss distribution fitting.

A. Insurance risk model: (the score ratio is about 70%)

1. Short-term personal risk model (fractional proportion is about 20%): claim distribution of a single policy, calculation of independence and distribution, moment generating function, application of central limit theorem.

2. Short-term aggregate risk model (scoring ratio is about 30%): distribution of claim number and claim amount, total claim amount model, compound Poisson distribution and its properties, approximate model of aggregate claim amount.

3. Long-term aggregation risk model (scoring ratio is about 20%): continuous-time and discrete-time surplus process and bankruptcy probability, total claim process, bankruptcy probability, maximum loss process, adjustment coefficient, risk model and its nature in reinsurance and dividend insurance.

B utility theory and its application in insurance: (the score ratio is about 20%)

Utility and expected utility principle, utility function and risk attitude, utility principle and insurance pricing, optimal insurance, application of utility principle.

C. Basic method of random simulation: (the scoring rate is about 10%)

Uniformly distributed random numbers and pseudo-random numbers, methods of generating random numbers, simulation of discrete random variables and continuous random variables, and application of random simulation.

Bibliography:

Wu Yan, editor-in-chief of Risk Theory (a book for China's actuary qualification examination), and editor-in-chief of Original Book, China Financial and Economic Publishing House 1 1 Edition 2006: Chapters 4 to 8.

06 Life Table Foundation

Examination time: 3 hours

Examination form: objective judgment questions

Preparatory knowledge: calculus, probability statistics, linear algebra, insurance principles, life insurance, numerical analysis, etc.

Examination content and requirements:

A. Survival model and its estimation (score ratio is about 40%)

This part requires candidates to master the nature and characteristics of survival model and various statistical methods for estimating survival model from sample data, such as traditional actuarial method, moment estimation method and maximum likelihood estimation method. , and master the age processing and exposure calculation under large sample data. Its main contents include:

1. Concept and mathematics of survival model

2. Mortality table

3. Estimation of tabular survival model with complete sample data.

4. Estimation of tabular survival model with incomplete sample data.

5. Estimation of parametric survival model

6. Age processing and exposure calculation under large sample data.

B. Demography (score ratio is about 25%)

This part requires candidates to master the concepts and calculation methods of various measurement indicators of death or childbirth; Master the characteristics and related calculations of three population models: static population model, stable population model and quasi-stable population model; Master the methods of estimating population data by interpolation model, geometric model and Logistic model, master the methods of population planning and related calculation, and master the application of demographic data in the compilation of life table and social security. Its main contents include:

1. Measurement of death and fertility rate

2. Population model

3. Population planning and census application

C. Smoothing method (fraction ratio is about 35%)

This part requires candidates to master various methods of smoothing table data and parameters. Table data smoothing requires candidates to master the concepts and related calculations of moving weighted average smoothing method, Whittaker smoothing method and Bayes smoothing method, and master two-dimensional Whittaker smoothing method and related calculations; Parameter smoothing requires candidates to master three estimation methods of parametric population models (Gompertz, Makeham, Weibull); Master the methods and related calculations of piecewise parameter smoothing and smooth connection smoothing. Its main contents include:

1. Table data smoothing

2. Smoothing parameters

Bibliography:

Sun, editor-in-chief of the revised edition of Life Table Basis (Chinese Actuary Qualification Examination Book), Zhou,, China Financial and Economic Publishing House, 1 1 Edition, 2006.

Actuarial practice of life insurance

Examination time: 3 hours

Examination forms: objective judgment questions and subjective questions.

Examination content and requirements:

A. Life insurance basis (score ratio: 15% ~ 25%)

1. Main types of life insurance

Candidates should master the main types of life insurance, namely, ordinary life insurance and new life insurance. Ordinary life insurance includes: term life insurance; Whole life insurance; Endowment insurance; Annuity insurance New life insurance needs to master: dividend insurance; Investment linked insurance; Universal insurance.

2. Cash value and bonus of the policy

Cash value of the policy; Policy choice; Share of assets; Policy dividend

3. Special annuities and insurance

Special form of annuity; Family income insurance; Retirement income policy; Variable insurance products; Variable planning products; Disability payment in individual life insurance.

B. Pricing (score ratio: 15% ~ 30%)

1. Overview of life insurance pricing

The basic concept of pricing; Main methods of life insurance pricing; Various pricing assumptions

2. Asset share pricing method

Asset share pricing process; Basic formula of asset share method; The influence of various factors on cash flow; Premium adjustment

3. Further analysis of the asset share method

Improvement of asset share method; Changes in profits; Other applications of asset share method.

C. Assessment and solvency supervision (score ratio: 25% ~ 35%)

1. Reserved

Reserves from different angles; Evaluation method of statutory liability reserve; Selection of evaluation basis; Application of reserve method in practice.

2. Debt assessment

Evaluation of interest rate-sensitive life insurance; Annuity evaluation; Evaluation and further application of variable insurance

3. Connotation value of life insurance companies

Embedded value's definition; Embedded value calculation method; The specific application and evaluation of embedded value; Specific calculation method

4. solvency supervision

Overview of solvency supervision; Practice and progress of solvency supervision in EU and North America: asset evaluation in solvency supervision: solvency management measures; Practice and development direction of solvency supervision in China

D. Pension (score ratio: 10% ~ 20%)

1. Pension Overview

The basic concept of pension plan; Actuarial cost factor; Actuarial cost method of payment distribution; Actuarial cost method of cost allocation.

2. Pension Mathematics and Examples

Individual cost method to increase costs; Individual cost method to balance costs; Polymerization cost method.

E actuarial terms and examples of China life insurance industry (score ratio: 5% ~ 15%)

Actuarial terms and examples related to premium calculation; Actuarial provisions and examples of policy value reserve and policy cash value at the end of the policy year; Actuarial provisions and examples of statutory liability reserve

Bibliography:

Li Xiufang, editor-in-chief of Actuarial Practice of Life Insurance (Chinese Actuarial Qualification Examination), China Financial and Economic Publishing House, 1 1 Edition, 2006 (including appendices and schedules, the contents are subject to the latest announcement of the CIRC).

08 actuarial mathematics and practice of non-life insurance

Examination time: 3 hours

Examination forms: objective judgment questions, calculation questions, short answer questions and comprehensive questions.

Examination content and requirements:

Candidates are required to master the general principles of non-life insurance actuarial and reinsurance, including: rate determination method, experience rate, liability reserve evaluation method, reinsurance contract pricing and reinsurance business reserve evaluation. Specifically, it includes the following parts:

A. Determine the ratio (score ratio: 15%~25%)

1. Cost, profit and other factors in determining the rate;

2. Pure premium method and loss rate method (also known as payout ratio method);

3. Balance the calculation of premium earned;

4. Final loss prediction;

5. Rate structure, overall level change of rate, basic rate, number of relative levels, current rate and indicative rate.

B. Experience rate (score ratio: 15%~25%)

1. Complete reliability, partial reliability and reliability coefficient;

2. Bayesian premium;

3. Reliability premium;

4. buchman model and buchman-straub reliability model, statistical estimation method of parameters;

5.NCD system: system composition, stable distribution and transfer probability.

C. Reserve (score ratio: 25%~35%)

1. Evaluation of unearned liability reserve;

2 outstanding claims reserve assessment, including:

Chain ladder method, case average method, reserve progress method and BF method;

3. Assess the claim expense reserve;

4. The rationality test of the evaluation results of the outstanding claims reserve.

D. Reinsurance (percentage: 25%~35%)

1. Types of contract reinsurance;

2. The main terms of the reinsurance contract;

3. Pricing of reinsurance contracts: proportional reinsurance, premium reinsurance, accident premium reinsurance and catastrophe reinsurance;

4. Evaluation of liability reserve for reinsurance business.

Bibliography:

1. Wu Xiaoping, editor-in-chief: Practical Guide to the Evaluation of Non-life Insurance Reserves, China Financial and Economic Publishing House, 2005.

2. Edited by Yang Jingping. Actuarial Science of Non-life Insurance, Peking University Publishing House, 2006.

3. Gao Editor-in-Chief: Actuarial Practice of Reinsurance, Peking University Publishing House, February 2008.

Bibliography and chapters specified in each examination section:

(1) Rate determination: The examination content is mainly based on Chapter VI and Chapter X of Non-life Insurance Actuarial (Yang Jingping);

(2) Experience rate: The content of the examination is Chapters 7, 8 and 9 of Non-life Insurance Actuarial (Yang Jingping);

(3) Reserves: the first seven chapters of the Practical Guide to the Evaluation of Reserves for Non-life Insurance Business;

(4) Reinsurance: The first seven chapters and the ninth chapter "Actuarial Practice of Reinsurance" (high).

Recommended reading materials:

Meng, Liu Leping, Non-life Insurance Actuarial, Renmin University of China Press, 2007.8.

Actuarial principles of non-life insurance, China Financial and Economic Publishing House, 2008+00.

09 comprehensive economic base

Examination time: 3 hours

Examination forms: objective judgment questions, calculation questions, short answer questions and essay questions.

Examination content and requirements:

This course includes the following three aspects:

1. Economics (score ratio: 40%).

The economics part includes microeconomics and macroeconomics: (1) microeconomics (score: 25%).

Learning content:

1) supply and demand theory, market equilibrium price theory

2) consumer behavior theory

3) producer (manufacturer) behavior theory

4) Market structure theory: complete competition, complete monopoly, monopolistic competition and oligopoly.

5) Factor price and income distribution theory;

6) general equilibrium theory

7) Market failure theory and the role of government. Examination requirements: on the basis of mastering the basic principles of microeconomics, candidates can understand the structure of economic events and analyze basic economic activities by establishing models; Increase understanding of market and economic decision-making behavior.

(2) Macroeconomics (score ratio: 15%)

Learning content:

1) Accounting, circulation and decision of national income;

2) Keynes's equilibrium model;

3) fiscal policy and monetary policy;

4) Open macroeconomic model;

5) The behavioral basis of macro-economy;

6) Theory of economic growth and economic cycle;

7) Inflation and unemployment.

Examination requirements:

Candidates should master the basic principles of macroeconomics, be familiar with important economic models, assumptions and policies, and understand their relationship with economic cycles and business cycles.

2. Finance (score: 40%) The finance part includes the basic concepts and main applications in financial theory and practice. Learning content:

1) monetary theory:

Basic definition of money

functions of money

coinage

2) Interest rate and risk return

Interest and interest rate

The role of interest rate

Risks and benefits

3) Balance of payments and exchange rate theory

Balance of payments statement

Basic theory of balance of payments

Basic theory of exchange rate

4) Main contents of financial market

Overview of financial markets

financial market

capital market

Modern financial market theory

international financial market

5) Main contents of financial institutions

Brief introduction of financial institutions

Commercial banks, central banks and investment banks

insurance company

investment fund

Other financial institutions

6) Financial instruments

Basic principles of financial asset pricing

government bonds

Enterprise securities

derivative product

7) Money supply and demand theory

Theory and analysis of money demand

Theory and analysis of money supply

Equilibrium analysis of money supply and demand

8) Policies and means of fiscal adjustment

Monetary policy regulation theory

financial regulation

Examination requirements:

Candidates should master the basic concepts and main contents in financial theory and practice. Master the basic concepts and principles of money, risk and return and financial asset pricing, be familiar with the definitions and characteristics of major financial instruments, as well as the organizational forms and basic performances of financial markets and institutions, and understand the basic financial supervision policies. Three. Financial accounting basis (score ratio: 20%) Financial accounting basis includes the basic contents of financial accounting of companies (especially financial institutions):

Learning content

1) Basic theory of financial accounting

The concept of financial accounting

accounting principles

Accounting cycle

2) Financial reporting system

balance sheet

profit statement

cash flow statements

3) Assets

Cash inventory investment in fixed assets and other assets.

4) Liabilities

Basic concepts and contents of liabilities

. tax analysis

rent

5) Owner's equity

nature

compose

Corporate Governance Structure and Owners' Rights and Interests

6) Financial treatment of special business

Foreign currency commercial derivatives

7) Consolidated accounting statements

8) Information disclosure in financial reports

9) Financial report analysis

Examination requirements

Candidates should master the basic theory of financial accounting of companies (especially financial institutions) and the main contents of financial reporting system, be familiar with the main contents and basic accounting treatment methods of assets and liabilities and owners' equity, understand the financial treatment of special business by financial accounting, and disclose information and analyze financial reports in consolidated accounting statements and financial reports.

philology

1. Microeconomics and Macroeconomics, edited by Cai Jiming, People's Publishing House, 2002.

2. Western Economics, edited by Gao Hongye of China Renmin University.

3. Money and Banking was written by Yi Youchang, the first edition of Shanghai People's Publishing House1September, 999.

4. International Finance Horse, Fan Xiaoyun Science Press, September 2005 (can be purchased through online bookstore or ordered directly from Science Press). 5. "Financial Accounting" Chen Xinyuan Editor-in-Chief Yao Jie Road Deputy Editor-in-Chief Higher Education Press in July 2003, the first edition.