CLEC

Language:

Italian.
Textbooks:

- S. Ross: Calcolo delle probabilità 3/ed, Apogeo, 2013.
- Lecture notes prepared by the professor.
Learning objectives:

The course introduces fundamental tools in probability theory and discrete-time stochastic processes, with applications to financial market modeling. Special focus is placed on the pricing and hedging of derivatives using discrete models, including examples based on binomial trees.
Prerequisite:

Basic knowledge acquired from the core mathematics courses in the first two years of the Bachelor’s degree.
Teaching methods:

The course consists of 24 hours of in-class teaching, divided between theoretical lectures and practical sessions, including the correction of exercises assigned by the professor. The proposed exercises aim to assess the practical application of the theoretical concepts covered during the lectures.
Additional seminar sessions, held by experts and professionals, may complement the main teaching activities.
Attendance is optional but recommended. The final examination will be the same for both attending and non-attending students.
Exam type:

Student assessment is based on a mandatory written exam covering the topics discussed during the course. The exam will consist of exercises, with scores assigned according to the difficulty and relevance of each question. The final score will be expressed in thirtieths, with the possibility of honors (cum laude).
Students who obtain at least 18/30 in the written exam may, on a voluntary basis, take an oral exam. In this case, the final grade will take both parts into account.
Sostenibilità:
Further information:

Weekly office hours will be scheduled during the teaching semester (day and time to be defined) and are available by appointment during other periods. Please refer to the professor's webpage at https://www.dec.unich.it.Office hours can also be held in English.

Foundations of Probability Theory. Discrete Random Variables. Joint Distributions of Random Variables. Martingales and Discrete-Time Stochastic Processes.