Programme

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

---

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.)

Core Documentation

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

Type of delivery of the course

The course is organized on the basis of lectures and Excel exercises. ----------------------------------------------------------------------------- N.B. In the event of an extension of the health emergency from COVID-19, all the provisions governing the methods of carrying out educational activities will be implemented. In particular, in case of need to provide distance learning, the Microsoft Teams platform will be used. Please, view the institutional University information channels so to be informed of the emergency measures in force.

Type of evaluation

The overall assessment is determined by means of a final written exam. ----------------------------------------------------------------------------- N.B. In the event of an extension of the health emergency due to COVID-19, all the provisions governing the methods of student evaluation will be implemented. In particular, in case of need for remote exams, the exam will be taken in oral form by Microsoft Teams. Please, view the institutional University information channels so to be informed of the emergency measures in force.

Programme

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

---

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.)

Core Documentation

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

Type of delivery of the course

The course is organized on the basis of lectures and Excel exercises. ----------------------------------------------------------------------------- N.B. In the event of an extension of the health emergency from COVID-19, all the provisions governing the methods of carrying out educational activities will be implemented. In particular, in case of need to provide distance learning, the Microsoft Teams platform will be used. Please, view the institutional University information channels so to be informed of the emergency measures in force.

Type of evaluation

The overall assessment is determined by means of a final written exam. ----------------------------------------------------------------------------- N.B. In the event of an extension of the health emergency due to COVID-19, all the provisions governing the methods of student evaluation will be implemented. In particular, in case of need for remote exams, the exam will be taken in oral form by Microsoft Teams. Please, view the institutional University information channels so to be informed of the emergency measures in force.

Programme

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

---

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.)

Core Documentation

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

Type of delivery of the course

The course is organized on the basis of lectures and Excel exercises. ----------------------------------------------------------------------------- N.B. In the event of an extension of the health emergency from COVID-19, all the provisions governing the methods of carrying out educational activities will be implemented. In particular, in case of need to provide distance learning, the Microsoft Teams platform will be used. Please, view the institutional University information channels so to be informed of the emergency measures in force.

Type of evaluation

The overall assessment is determined by means of a final written exam. ----------------------------------------------------------------------------- N.B. In the event of an extension of the health emergency due to COVID-19, all the provisions governing the methods of student evaluation will be implemented. In particular, in case of need for remote exams, the exam will be taken in oral form by Microsoft Teams. Please, view the institutional University information channels so to be informed of the emergency measures in force.

Programme

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

---

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.)

Core Documentation

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

Type of delivery of the course

The course is organized on the basis of lectures and Excel exercises. ----------------------------------------------------------------------------- N.B. In the event of an extension of the health emergency from COVID-19, all the provisions governing the methods of carrying out educational activities will be implemented. In particular, in case of need to provide distance learning, the Microsoft Teams platform will be used. Please, view the institutional University information channels so to be informed of the emergency measures in force.

Type of evaluation

The overall assessment is determined by means of a final written exam. ----------------------------------------------------------------------------- N.B. In the event of an extension of the health emergency due to COVID-19, all the provisions governing the methods of student evaluation will be implemented. In particular, in case of need for remote exams, the exam will be taken in oral form by Microsoft Teams. Please, view the institutional University information channels so to be informed of the emergency measures in force.

Programme

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

---

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.)

Core Documentation

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

Type of delivery of the course

The course is organized on the basis of lectures and Excel exercises. ----------------------------------------------------------------------------- N.B. In the event of an extension of the health emergency from COVID-19, all the provisions governing the methods of carrying out educational activities will be implemented. In particular, in case of need to provide distance learning, the Microsoft Teams platform will be used. Please, view the institutional University information channels so to be informed of the emergency measures in force.

Type of evaluation

The overall assessment is determined by means of a final written exam. ----------------------------------------------------------------------------- N.B. In the event of an extension of the health emergency due to COVID-19, all the provisions governing the methods of student evaluation will be implemented. In particular, in case of need for remote exams, the exam will be taken in oral form by Microsoft Teams. Please, view the institutional University information channels so to be informed of the emergency measures in force.

Programme

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

---

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.)

Core Documentation

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

Type of delivery of the course

The course is organized on the basis of lectures and Excel exercises. ----------------------------------------------------------------------------- N.B. In the event of an extension of the health emergency from COVID-19, all the provisions governing the methods of carrying out educational activities will be implemented. In particular, in case of need to provide distance learning, the Microsoft Teams platform will be used. Please, view the institutional University information channels so to be informed of the emergency measures in force.

Type of evaluation

The overall assessment is determined by means of a final written exam. ----------------------------------------------------------------------------- N.B. In the event of an extension of the health emergency due to COVID-19, all the provisions governing the methods of student evaluation will be implemented. In particular, in case of need for remote exams, the exam will be taken in oral form by Microsoft Teams. Please, view the institutional University information channels so to be informed of the emergency measures in force.

Programme

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

---

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.)

Core Documentation

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

Type of delivery of the course

The course is organized on the basis of lectures and Excel exercises. ----------------------------------------------------------------------------- N.B. In the event of an extension of the health emergency from COVID-19, all the provisions governing the methods of carrying out educational activities will be implemented. In particular, in case of need to provide distance learning, the Microsoft Teams platform will be used. Please, view the institutional University information channels so to be informed of the emergency measures in force.

Type of evaluation

The overall assessment is determined by means of a final written exam. ----------------------------------------------------------------------------- N.B. In the event of an extension of the health emergency due to COVID-19, all the provisions governing the methods of student evaluation will be implemented. In particular, in case of need for remote exams, the exam will be taken in oral form by Microsoft Teams. Please, view the institutional University information channels so to be informed of the emergency measures in force.

Programme

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

---

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.)

Core Documentation

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

Type of delivery of the course

The course is organized on the basis of lectures and Excel exercises. ----------------------------------------------------------------------------- N.B. In the event of an extension of the health emergency from COVID-19, all the provisions governing the methods of carrying out educational activities will be implemented. In particular, in case of need to provide distance learning, the Microsoft Teams platform will be used. Please, view the institutional University information channels so to be informed of the emergency measures in force.

Type of evaluation

The overall assessment is determined by means of a final written exam. ----------------------------------------------------------------------------- N.B. In the event of an extension of the health emergency due to COVID-19, all the provisions governing the methods of student evaluation will be implemented. In particular, in case of need for remote exams, the exam will be taken in oral form by Microsoft Teams. Please, view the institutional University information channels so to be informed of the emergency measures in force.