ACTU 362 Acturial Mathematics (1)

Actuarial Mathematical models I

  1. Introduction to life insurance
    1. Traditional Life Insurance Contracts
    2. Modern Life Insurance Contracts
    3. Underwriting
    4. Life Annuities
  2. Survival Distributions
    1. Age-at-death Random Variables
    2. Future Lifetime Random Variable
    3. Actuarial Notation
    4. Curtate Future Lifetime Random Variable
    5. Force of Mortality
  3. Life Tables
    1. Life Table Functions
    2. Fractional Age Assumptions
    3. Select-and-Ultimate Tables
    4. Moments of Future Lifetime Random Variables
  4. Life Insurances
    1. Continuous Life Insurances
    2. Discrete Life Insurances
    3. m-thly Life Insurances
    4. Relating Different Policies
    5. Recursions
    6. Relating Continuous, Discrete and m-thly Insurance
  5. Life Annuities
    1. Continuous Life Annuities
    2. Discrete Life Annuities (Due)
    3. Discrete Life Annuities (Immediate)
    4. m--thly Life Annuities
    5. Relating Different Policies
    6. Recursions
    7. Relating Continuous, Discrete and m--thly Life Annuities
  6. Premium Calculation
    1. Traditional Insurance Policies
    2. Net Premium and Equivalence Principle
    3. Net Premiums for Special Policies
    4. The Loss-at-issue Random Variable
    5. Percentile Premium and Profit
  7. Net Premium Reserves
    1. The Prospective Approach
    2. The Recursive Approach: Basic Idea
    3. The Recursive Approach: Further Applications
    4. The Retrospective Approach
  8. Insurance Models Including Expenses
    1. Gross Premium
    2. Gross Premium Reserve
    3. Expense Reserve and Modified Reserve
    4. Basis, Asset Share and Profit.

Measurements of mortality; pure endowments; life insurance; net single premiums; life annuities;

net annual premiums; special topics.

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