Program Overview

MATEMATICA FINANZIARIA

Program Overview

The Matematica Finanziaria program is designed to provide students with a comprehensive understanding of financial mathematics, including classical financial mathematics and actuarial mathematics. The program focuses on the formalization and mathematical modeling of financial operations, both classical and random, as well as the main insurance operations on life duration.

Objectives and Contents

Educational Objectives

The program aims to equip students with tools for the formalization and mathematical modeling of financial operations. Upon completion of the program, students will be able to:

• Apply the main financial laws to operations involving the exchange of monetary amounts with different deadlines.
• Calculate the present and future value of certain and uncertain income, as well as loans, in different financial regimes.
• Analyze and evaluate debt repayment and capital formation plans in real contexts.
• Evaluate bond securities and calculate the effective yield based on market data.
• Apply basic actuarial models to simple life insurance contracts.

Detailed Educational Objectives and Learning Outcomes

The program covers various topics, including:

• Theory of financial laws
• Certain discrete income and their valuation
• Amortization of an indivisible loan and capital formation
• Divided loans in titles
• Aleatory financial operations
• Basic actuarial models for life insurance contracts

Prerequisites

Students are required to have basic knowledge of general mathematics, particularly algebra and analysis.

Teaching Methods

The program consists of lectures and frontal exercises. Attendance is not mandatory. Students with disabilities, DSA, or special educational needs must contact the teacher and the department's disability referent to agree on teaching and examination methods that take into account individual learning needs.

Program Content

The program is divided into six parts:

1. Theory of financial laws
2. Certain discrete income and their valuation
3. Amortization of an indivisible loan and capital formation
4. Divided loans in titles
5. Structure of interest rates over time
6. Aleatory financial operations

Bibliography

Specific references will be provided by the teacher at the beginning of the course.

Teachers and Examination Committee

• Marina Resta
• Marina Ravera (President)
• Ester Cesarina Lari

Lessons

• Start of lessons: September 15, 2025
• Lesson schedule: available on the EasyAcademy portal

Exams

• Examination method: oral exam with theoretical and practical questions
• Assessment method: oral test consisting of theoretical questions and/or practical exercises covering all program topics
• Exam schedule:
  • January 7, 2026
  • January 21, 2026
  • February 4, 2026
  • May 27, 2026
  • June 10, 2026
  • July 8, 2026
  • September 8, 2026

Other Information

Students who intend to take the exam must register on the portal. It is possible to take the exam twice out of three in each session (summer, winter). For further information not included in the course sheet, please contact the teacher.