Premium and Policy Value Calculation for Long-Term Insurance Coverages
- Future Loss Random Variables for Life Insurance and Annuities (16 min)
- Premium Calculation Principles (17 min)
- Net Premium and Gross Premium Policy Values (22 min)
- Effect of Changes in Underlying Assumptions on Reserves and Premiums (11 min)
- Modelling Extra Risk (14 min)
Short-Term Insurance and Reinsurance Coverages
- Types of Coverage Modifications (20 min)
- Calculating the Impact of Coverage Modifications (21 min)
- Loss Elimination Ratio and the Effect of Inflation (11 min)
- Proportional and Excess of Loss Reinsurance (13 min)
- Allocation of Claims Under Reinsurance (12 min)
Severity, Frequency, and Aggregate Models
- Moments and Percentiles of Severity Distributions (16 min)
- Scale and Shape Parameters in Continuous Models (10 min)
- Classes of Distributions and Their Relationships (12 min)
- Characterizing Distributions by Moment Existence and Tail Behavior (10 min)
- Parameters of the (a,b,0) and (a,b,1) Classes (11 min)
- Recognizing (a,b,0) and (a,b,1) Distributions (10 min)
- Calculations for the (a,b,0) and (a,b,1) Classes (12 min)
- Identifying Appropriate Frequency Distributions (8 min)
- Collective and Individual Risk Models (13 min)
- Normal and Lognormal Approximations for Aggregate Distributions (12 min)
- The Convolution Method (9 min)
- Stop-Loss Insurance (16 min)
- Value at Risk and Tail Value at Risk (14 min)
- Properties of Risk Measures (14 min)
Parametric Estimation
- Maximum Likelihood Estimation (17 min)
Introduction to Credibility
- The Concept of Credibility (14 min)
- Limited Fluctuation Credibility Calculations (15 min)
Pricing and Reserving for Short-Term Insurance Coverages
- Estimating Outstanding Claims (17 min)
- Ratemaking Objectives and Data (10 min)
- Adjustments to Ratemaking Data (15 min)
- Expenses and Profit Loading in Ratemaking (11 min)
- Overall Average Rates and Rate Changes (15 min)
Option Pricing Fundamentals
- Cash Flows and Characteristics of Puts and Calls (11 min)
- Binomial Option Pricing Model (15 min)
- Black-Scholes Formula and Delta Hedging (14 min)
- Put-Call Parity (13 min)
Long-Term Insurance Coverages and Retirement Financial Security Programs
Mortality Models
- Parametric Survival Models, Life Tables, and Their Relationships (22 min)
- Parametric Survival Model Calculations (19 min)
- Standard Actuarial Notation for Future Lifetime Distributions (15 min)
- Life Table Calculations with Fractional Age Assumptions (18 min)
- Select Life Tables (14 min)
Present Value Random Variables for Long-Term Insurance Coverages
- Present Value Random Variables for Life Insurance, Endowment, and Annuity Payments (15 min)
- Means, Variances, and Covariances of Present Value Random Variables (23 min)
- Relationships Between Insurance, Endowment, and Annuity Present Values (11 min)
- Effect of Changes in Underlying Assumptions (12 min)
- Standard Actuarial Notation (International Actuarial Notation) (13 min)
