Actuarial Science

  1. Advanced and Specialized Topics
    1. Health and Disability Insurance
      1. Morbidity Models
        1. Incidence Rates
          1. Age-Specific Rates
            1. Gender Differences
              1. Occupation Effects
                1. Trend Analysis
                2. Recovery Rates
                  1. Recovery Patterns
                    1. Duration Effects
                      1. Factors Affecting Recovery
                        1. Modeling Approaches
                        2. Multiple State Models
                          1. State Definitions
                            1. Transition Probabilities
                              1. Markov Models
                            2. Pricing of Health Insurance
                              1. Premium Calculation
                                1. Utilization Patterns
                                  1. Risk Adjustment
                                    1. Regulatory Constraints
                                    2. Expense Loadings
                                      1. Administrative Expenses
                                        1. Sales Expenses
                                          1. Regulatory Fees
                                            1. Profit Margins
                                            2. Risk Adjustment
                                              1. Risk Scoring Models
                                                1. Demographic Adjustments
                                                  1. Health Status Adjustments
                                                2. Long-Term Care Insurance
                                                  1. Product Features
                                                    1. Benefit Triggers
                                                      1. Benefit Amounts
                                                        1. Benefit Periods
                                                          1. Elimination Periods
                                                          2. Pricing and Reserving
                                                            1. Morbidity Assumptions
                                                              1. Lapse Assumptions
                                                                1. Interest Rate Assumptions
                                                                  1. Reserve Calculations
                                                                2. Disability Income Insurance
                                                                  1. Benefit Structures
                                                                    1. Short-Term Disability
                                                                      1. Long-Term Disability
                                                                        1. Partial Disability
                                                                          1. Residual Benefits
                                                                          2. Claim Termination Rates
                                                                            1. Recovery Rates
                                                                              1. Mortality Rates
                                                                                1. Return to Work
                                                                                  1. Factors Affecting Termination
                                                                              2. Investment and Asset Modeling
                                                                                1. Stochastic Interest Rate Models
                                                                                  1. Short Rate Models
                                                                                    1. Vasicek Model
                                                                                      1. Cox-Ingersoll-Ross Model
                                                                                        1. Hull-White Model
                                                                                        2. Term Structure Models
                                                                                          1. Heath-Jarrow-Morton Framework
                                                                                            1. LIBOR Market Models
                                                                                              1. Affine Term Structure Models
                                                                                            2. Asset Allocation Strategies
                                                                                              1. Mean-Variance Optimization
                                                                                                1. Efficient Frontier
                                                                                                  1. Risk-Return Trade-offs
                                                                                                    1. Constraints
                                                                                                      1. Limitations
                                                                                                      2. Liability-Driven Investment
                                                                                                        1. Liability Matching
                                                                                                          1. Surplus Optimization
                                                                                                            1. Risk Budgeting
                                                                                                          2. Options, Futures, and Derivatives
                                                                                                            1. Option Pricing Models
                                                                                                              1. Black-Scholes Model
                                                                                                                1. Binomial Models
                                                                                                                  1. Monte Carlo Methods
                                                                                                                  2. Hedging Strategies
                                                                                                                    1. Delta Hedging
                                                                                                                      1. Gamma Hedging
                                                                                                                        1. Portfolio Insurance
                                                                                                                        2. Risk Management Applications
                                                                                                                          1. Interest Rate Risk
                                                                                                                            1. Equity Risk
                                                                                                                              1. Currency Risk
                                                                                                                                1. Credit Risk
                                                                                                                            2. Enterprise Risk Management
                                                                                                                              1. Risk Identification and Classification
                                                                                                                                1. Types of Risks
                                                                                                                                  1. Insurance Risk
                                                                                                                                    1. Market Risk
                                                                                                                                      1. Credit Risk
                                                                                                                                        1. Operational Risk
                                                                                                                                        2. Risk Mapping
                                                                                                                                          1. Risk Registers
                                                                                                                                            1. Risk Categories
                                                                                                                                              1. Risk Interdependencies
                                                                                                                                                1. Risk Appetite
                                                                                                                                              2. Risk Measurement and Metrics
                                                                                                                                                1. Value at Risk
                                                                                                                                                  1. Definition and Calculation
                                                                                                                                                    1. Confidence Levels
                                                                                                                                                      1. Time Horizons
                                                                                                                                                        1. Limitations
                                                                                                                                                        2. Tail Value at Risk
                                                                                                                                                          1. Definition and Calculation
                                                                                                                                                            1. Coherent Risk Measures
                                                                                                                                                              1. Comparison with VaR
                                                                                                                                                              2. Stress Testing
                                                                                                                                                                1. Scenario Design
                                                                                                                                                                  1. Stress Scenarios
                                                                                                                                                                    1. Reverse Stress Testing
                                                                                                                                                                      1. Regulatory Requirements
                                                                                                                                                                      2. Scenario Analysis
                                                                                                                                                                        1. Deterministic Scenarios
                                                                                                                                                                          1. Stochastic Scenarios
                                                                                                                                                                            1. Sensitivity Analysis
                                                                                                                                                                          2. Risk Mitigation and Control
                                                                                                                                                                            1. Risk Transfer
                                                                                                                                                                              1. Insurance
                                                                                                                                                                                1. Reinsurance
                                                                                                                                                                                  1. Derivatives
                                                                                                                                                                                    1. Securitization
                                                                                                                                                                                    2. Risk Retention
                                                                                                                                                                                      1. Self-Insurance
                                                                                                                                                                                        1. Captive Insurance
                                                                                                                                                                                          1. Risk Pooling
                                                                                                                                                                                            1. Capital Allocation
                                                                                                                                                                                            2. Risk Avoidance
                                                                                                                                                                                              1. Business Strategy
                                                                                                                                                                                                1. Product Design
                                                                                                                                                                                                  1. Underwriting
                                                                                                                                                                                                    1. Investment Policy
                                                                                                                                                                                                  2. Economic Capital Modeling
                                                                                                                                                                                                    1. Capital Allocation
                                                                                                                                                                                                      1. Risk-Based Capital
                                                                                                                                                                                                        1. Economic Capital
                                                                                                                                                                                                          1. Regulatory Capital
                                                                                                                                                                                                            1. Rating Agency Capital
                                                                                                                                                                                                            2. Solvency Assessment
                                                                                                                                                                                                              1. Solvency Ratios
                                                                                                                                                                                                                1. Stress Testing
                                                                                                                                                                                                                  1. Scenario Analysis
                                                                                                                                                                                                                    1. Regulatory Requirements
                                                                                                                                                                                                                2. Reinsurance
                                                                                                                                                                                                                  1. Types of Reinsurance
                                                                                                                                                                                                                    1. Proportional Reinsurance
                                                                                                                                                                                                                      1. Quota Share
                                                                                                                                                                                                                        1. Structure and Terms
                                                                                                                                                                                                                          1. Ceding Commission
                                                                                                                                                                                                                            1. Profit Commission
                                                                                                                                                                                                                            2. Surplus Share
                                                                                                                                                                                                                              1. Structure and Terms
                                                                                                                                                                                                                                1. Retention Limits
                                                                                                                                                                                                                                  1. Surplus Lines
                                                                                                                                                                                                                                2. Non-Proportional Reinsurance
                                                                                                                                                                                                                                  1. Excess of Loss
                                                                                                                                                                                                                                    1. Per Risk Excess
                                                                                                                                                                                                                                      1. Per Occurrence Excess
                                                                                                                                                                                                                                        1. Aggregate Excess
                                                                                                                                                                                                                                        2. Stop Loss
                                                                                                                                                                                                                                          1. Aggregate Stop Loss
                                                                                                                                                                                                                                            1. Annual Aggregate Deductible
                                                                                                                                                                                                                                              1. Coverage Limits
                                                                                                                                                                                                                                          2. Pricing of Reinsurance Contracts
                                                                                                                                                                                                                                            1. Risk Premium Calculation
                                                                                                                                                                                                                                              1. Exposure Rating
                                                                                                                                                                                                                                                1. Experience Rating
                                                                                                                                                                                                                                                  1. Catastrophe Modeling
                                                                                                                                                                                                                                                    1. Margin for Uncertainty
                                                                                                                                                                                                                                                    2. Experience Rating
                                                                                                                                                                                                                                                      1. Loss Experience
                                                                                                                                                                                                                                                        1. Credibility Weighting
                                                                                                                                                                                                                                                          1. Trend Adjustments
                                                                                                                                                                                                                                                          2. Profit Commission
                                                                                                                                                                                                                                                            1. Commission Formulas
                                                                                                                                                                                                                                                              1. Sliding Scales
                                                                                                                                                                                                                                                                1. Carry Forward Provisions
                                                                                                                                                                                                                                                              2. Reinsurance Program Design
                                                                                                                                                                                                                                                                1. Program Structure
                                                                                                                                                                                                                                                                  1. Retention Levels
                                                                                                                                                                                                                                                                    1. Coverage Limits
                                                                                                                                                                                                                                                                      1. Cost-Benefit Analysis
                                                                                                                                                                                                                                                                      2. Reinsurance Regulation and Accounting
                                                                                                                                                                                                                                                                        1. Regulatory Framework
                                                                                                                                                                                                                                                                          1. Credit for Reinsurance
                                                                                                                                                                                                                                                                            1. Accounting Treatment
                                                                                                                                                                                                                                                                              1. Disclosure Requirements

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                                                                                                                                                                                                                                                                          6. Pensions and Retirement Benefits

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                                                                                                                                                                                                                                                                          1. Foundations of Actuarial Science