Studying at the University of Verona
Here you can find information on the organisational aspects of the Programme, lecture timetables, learning activities and useful contact details for your time at the University, from enrolment to graduation.
Study Plan
This information is intended exclusively for students already enrolled in this course.If you are a new student interested in enrolling, you can find information about the course of study on the course page:
Laurea magistrale in Banca e finanza - Enrollment from 2025/2026The Study Plan includes all modules, teaching and learning activities that each student will need to undertake during their time at the University.
Please select your Study Plan based on your enrollment year.
1° Year
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2° Year activated in the A.Y. 2021/2022
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Legend | Type of training activity (TTA)
TAF (Type of Educational Activity) All courses and activities are classified into different types of educational activities, indicated by a letter.
Insurance mathematics (2021/2022)
Teaching code
4S003194
Academic staff
Coordinator
Credits
6
Language
Italian
Scientific Disciplinary Sector (SSD)
SECS-S/06 - MATHEMATICAL METHODS OF ECONOMICS, FINANCE AND ACTUARIAL SCIENCES
Period
secondo semestre (lauree magistrali) dal Feb 21, 2022 al May 13, 2022.
Learning outcomes
The course will provide students with the mathematical and logical skills needed to address the main actuarial problems in life and non-life insurance, with particular reference to the determination of premiums and reserves as well as the evaluation of profitability and riskiness of insurance portfolios. The course consists of two modules, dedicated to Life and non-Life insurance. During the semester some seminars on selected topics, held by industry experts, will be offered.
Program
Dual teaching (in presence and remotely)
Life Module
1. Basic Knowledge
• Mutuality and Solidarity
• Life insurance products
• Life table
2. Premiums and Reserves
• Net premium, Gross premium
• Technical rate (difference between prudential basis and realistic basis)
• Actuarial values
• Mathematical reserve
• Single premiums, periodic premiums
• Risk premiums and saving premiums
• Surrender values and paid-up values
3. Finance in life insurance
• With-profit policies
4. Profits in a life insurance portfolio
• The total profit
• Mortality/Longevity Risk
• Profit Testing
Non Life Module
1. Basic knowledge
• Basics of insurance business: risk transfer, risk pooling
2. Introduction to non-life insurance
• Non-life insurance coverages and local branches
• Damage and compensation
• Non-life technical indicators
3. Probability and statistics
• Random variables and characteristic functions, moments and central moments, measures of dispersion and shape.
• Truncated and censored random variables
• Probability distributions: Binomial, Negative Binomial, Poisson, Normal, LogNormal, Gamma, Pareto
4. Premium estimation
• Commercial premium
• Empirical and theoretical approaches to estimate pure premium
• Risk and expenses loadings
5. Collective risk theory
• Risk reserve equation, premium and reserve risk, random variable “total amount of claims”
• Compound Poisson process
• Compound mixed Poisson process
6. MVLI Tariffication
• Average commercial premium estimation
• A priori personalization of premium
7. Technical provisions
• Premium and claims provisions
• Deterministic methods to estimate claims reserve
• Stochastic methods to estimate claims reserve
Topics of the seminars:
• Reinsurance
• ALM (Asset and Liability Management)
• Solvency II
Textbooks
Non Life Module:
• Wuthrich, Mario V., Non-Life Insurance: Mathematics & Statistics;
free download in SSRN newtowk at http://ssrn.com/abstract=2319328 or at http://dx.doi.org/10.2139/ssrn.2319328
Life Module:
• Olivieri Annamaria, Pitacco Ermanno: Introduction to Insurance Mathematics – Technical and Financial Features of Risk Transfers, Springer (2011);
http://www.springer.com/mathematics/applications/book/978-3-642-16028-8
Examination Methods
The exam consists of a two-hour written test, equally divided between the Non-Life and Life modules.
The structure of the test is as follows:
- two numerical exercises, applying models learnt in the course
The software Microsoft Excel will be used for calculations
- some multiple choice questions and some open questions, aimed at verifying the ownership of language and the ability to systematically link the knowledge gained
During the test the use of personal notes or other teaching material will not be allowed