Unit 1000: Foundations of Actuarial Science

1. Introduction to Actuarial Science

1.1 Definition and Scope

• Overview of actuarial science
• Historical development

1.2 Role in the Insurance Industry

• Functions of actuaries
• Types of insurance sectors served

1.3 Required Skills and Competencies

• Mathematical and statistical proficiency
• Analytical and problem-solving skills
• Communication and business acumen

1.4 Importance in Managing Risk

• Risk identification and quantification
• Decision support in insurance and finance

2. Probability and Statistics in Actuarial Science

2.1 Fundamental Probability Concepts

• Basic probability rules
• Conditional probability and independence

2.2 Probability Distributions

• Discrete distributions (e.g., Binomial, Poisson)
• Continuous distributions (e.g., Normal, Exponential)

2.3 Statistical Models and Inference

• Parameter estimation
• Hypothesis testing

2.4 Application to Insurance Data

• Frequency and severity modeling
• Loss distributions

3. Life Insurance and Annuities

3.1 Principles of Life Insurance

• Mortality and survival models
• Mortality tables and their construction

3.2 Life Insurance Contracts

• Term, whole life, endowment policies
• Policy features and benefits

3.3 Annuity Products

• Types of annuities (immediate, deferred, fixed, variable)
• Valuation and pricing

3.4 Actuarial Calculations

• Present value calculations
• Premium determination and reserves

4. Property and Casualty Insurance

4.1 Overview of Property and Casualty Insurance

• Types of coverages
• Market characteristics

4.2 Underwriting and Risk Assessment

• Risk classification
• Exposure units and rating factors

4.3 Premium Determination

• Loss cost estimation
• Expense loading and profit margins

4.4 Loss Reserving Techniques

• Case reserves and incurred but not reported (IBNR)
• Chain-ladder and other reserving methods

5. Health Insurance and Long-Term Care

5.1 Health Insurance Fundamentals

• Types of health insurance policies
• Benefit structures and cost-sharing

5.2 Actuarial Considerations in Pricing

• Morbidity and claim cost modeling
• Trend analysis and experience rating

5.3 Managing Healthcare Costs

• Risk pooling and cost containment strategies
• Impact of regulations and policy changes

5.4 Long-Term Care Insurance

• Risk factors and product features
• Pricing and reserving challenges

6. Risk Management and Solvency

6.1 Role of Actuaries in Risk Management

• Identification, measurement, and control of risks
• Enterprise risk management frameworks

6.2 Solvency Assessment

• Capital adequacy principles
• Regulatory requirements and solvency standards

6.3 Regulatory Compliance

• Reporting standards
• Actuarial certifications and attestations

7. Actuarial Models and Forecasting

7.1 Loss Reserving Models

• Traditional reserving techniques
• Stochastic reserving models

7.2 Pricing Models

• Generalized linear models (GLMs)
• Predictive analytics and machine learning applications

7.3 Forecasting Techniques

• Time series analysis
• Scenario testing and stress testing

7.4 Decision Support and Strategic Planning

• Model validation and governance
• Use of actuarial models in business decisions

8. Ethics and Professionalism in Actuarial Practice

8.1 Ethical Standards

• Codes of conduct (e.g., Actuarial Standards of Practice)
• Conflicts of interest and confidentiality

8.2 Professional Responsibilities

• To policyholders, regulators, and the public
• Transparency and communication

8.3 Importance of Integrity

• Maintaining public trust
• Handling ethical dilemmas