MATHEMATICS FOR INSURANCE

Course objectives

Learning goals. The main learning goal for students is the knowledge of principles and methods of actuarial mathematics, both of life and non life insurance. Students must be able to apply the main actuarial models and to interpret the results of their use on real data. Knowledge and understanding. Students acquire knowledge and understanding of the most important problems of actuarial mathematics (probabilistic models, premium principles, reserves, ecc.) and of the main methods for solving these problems (variance principle, chain ladder method, Homans formula, ecc.). Applying knowledge and understanding. After the attendance of this course, students will be able to formalize real problems and to apply appropriate actuarial models. They will also be able to apply actuarial models to real data and to interpret them. Making judgements. Students improve judgements skills by applying actuarial models to a wide range of insurance products. Their skills will be improved by using and comparing different methods to the same problems and by applying these methods to real data. Communication skills Students will acquire the scientific language of Actuarial mathematics, that will be used in written and oral tests. Communication skills will be enhanced also by group work. Learning skills. Students will acquire the fundamental knowledge needed to study formal actuarial properties of more complex models in more advanced classes.

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FABIO GRASSO Lecturers' profile

Program - Frequency - Exams

Course program
1. Risks, insurance and actuarial mathematics Subjects: Risks and insurance; Actuarial mathematics 2. Actuarial mathematics of non-life insurance Subjects. Basic concepts of non-life insurance; Stochastic models for non-life insurance mathematics; Premiums; Reserves 3. Actuarial mathematics of life insurance Subjects: Basic concepts of life insurance; Stochastic models for life insurance mathematics; Premiums; Reserves
Prerequisites
The prerequisites can be fulfilled by attending the following classes of the program (in Italian): - Matematica I corso, - Matematica II corso, - Statistica di base, - Probabilità, - Matematica finanziaria.
Books
- Grasso F. (2012), Lezioni di Matematica attuariale delle assicurazioni contro i danni, Roma. - Grasso F., Ialenti M. (2015), Esercizi di Matematica attuariale, Roma. - Pitacco E. (2002), Elementi di Matematica delle assicurazioni, LINT, Trieste [Capitoli 1 e 2]. - Pitacco E. (2002), Matematica e tecnica attuariale delle assicurazioni sulla durata di vita, LINT, Trieste [Capitoli 1, 2 (escluso paragrafo 6), 3 (escluso paragrafo 5), 4 (esclusi paragrafi 6, 8 e 9), 5 (escluso paragrafo 6), 6 (paragrafi 1, 3 e 4), 7 (paragrafi 1 e 2) e 8 (escluso paragrafo 4)].
Teaching mode
Lectures will include a mix of theory, applications to relevant models and problem-solving.
Frequency
Course attendance is strongly recommended. Students not attending the course are invited to contact the lecturer.
Exam mode
The exam consists in some questions aiming at measuring the student knowledge and skills on both theoretical and practical aspects.
Bibliography
- Gerber H. (1997), Life insurance mathematics, Springer, Berlin. - Straub E. (1988), Non-life insurance mathematics, Springer, Berlin.
Lesson mode
Lectures will include a mix of theory, applications to relevant models and problem-solving.
  • Lesson code1018211
  • Academic year2025/2026
  • CourseActuarial and Financial Sciences
  • CurriculumScienze attuariali
  • Year1st year
  • Semester2nd semester
  • SSDSECS-S/06
  • CFU6