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82779 - Financial Mathematics

Academic Year 2026/2027

                
                        Docente:
                        Lorenzo Torricelli
                    
                        Credits:
                        6
                    
                        SSD:
                        STAT-04/A
                    
                        Language:
                        Italian
                    
                        Teaching Mode:
                        In-person learning (entirely or partially)
                        
                            Campus:
                            Bologna
                        
                            Corso:
                            First cycle degree programme (L) in
                            Management and Marketing (cod. 6613)

                                    Course Timetable
                                
from Sep 15, 2026 to Dec 15, 2026

Learning outcomes

By the end of the course, the student is able to use basic financial tools and knowledge to carry out all the assessments related to capital accumulation operations, loan amortization, and the trading of bonds. In addition, a dedicated lab section will provide the tools needed to use the main software applications for the analyses mentioned above.

Course contents

Financial regimes: capitalization, rate, and interest

Annuities

Loans

Bonds

Forwards, futures, and options

Readings/Bibliography

Basso-Pianca, Introduzione alla Matematica Finanziaria, 2017, Wolters-Kluwer, Cap 1; Cap 2, sezioni 1-2; Cap 3, Sez 1-4, 6; Cap 4-6.

Spelta, Matematica Finanziaria, Esculapio 2020. Cap.1; Cap 2. sezioni 2.1, 2.2.1-2.2.4, 2.3; Cap 3 Sezioni 3.1-3.3, 3.5.1-3.5.3, 3.6.

Romagnoli, Mathematical Finance: Thoery and Practice. Part A: Theory

Cesari-Susini, Cap 1-2, Introduzione alla Finanza Matematica, 2005, McGraw-Hill

Esercizi di Matematica Finanziaria. Operazioni finanziarie Spelta. elementari, rendite e prestiti, 2023, Esculapio.

Giacometti-Epis, Esercizi di Matematica Finanziaria, 2021, Giappichelli

Teaching methods

In-presence lecture

Assessment methods

Two-hour written exam, generally 5 exercises, with total score exceeding 31. Every score lower than 31 coincides with the final grade. A score of 30 or 31 to the grade 30. A score in excess of 31 corresponds to 30 cum laude.

Post-exam interviews are possible, but based only on the teacher decision and cannot be solicited by the student.

The use of IA tools during the exam is strictly forbidden.

Teaching tools

Blackboard, projector

Office hours

See the website of Lorenzo Torricelli