Università Roma Tre

STOCHASTIC CASH-FLOWS AND INSURANCE CONTRACTS
Expected Value Criterion
Utility Function
Expected Utility Criterion

BASIC DISTRIBUTION MODELS IN LIFE INSURANCE
Random Future Lifetime of a Life aged x
Life tables

LIFE INSURANCE: PRICING
Elementary life insurance products
Survival benefits
Death benefits
Endowment insurance products
Single premium and periodic premiums. Natural premiums

LIFE INSURANCE: RESERVING
Net Premium Reserve. Prospective Reserve
Retrospective Reserve
The time profile of the policy reserve
Recursive equations. Risk and savings
Homans’ Formula. Expected Profit

EXPENSE LOADINGS
The Expense-Loaded Premium
Expense-Loaded Premium Reserves
Counterinsurance

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PENSION PLANS
Social security framework
Contributions and benefits
Funding system
Benefits calculation
Demographic risks
System sustainability
Contributions calculations
Supplementary pension schemes
Old-Age, Survivors and Disability Insurance (OASI/IV) scheme
Exact Individual Trajectories (E.I.T.)

Annamaria Olivieri, Ermanno Pitacco
Introduction to Insurance Mathematics
Springer, 2011