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.
Type D and Type F activities
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 in Economia e innovazione aziendale - Enrollment from 2025/2026SOFT SKILLS
Find out more about the Soft Skills courses for Univr students provided by the University's Teaching and Learning Centre: https://talc.univr.it/it/competenze-trasversali
CONTAMINATION LAB
The Contamination Lab Verona (CLab Verona) is an experiential course with modules on innovation and enterprise culture that offers the opportunity to work in teams with students from all areas to solve challenges set by companies and organisations.
Upon completion of a CLab, students will be entitled to receive 6 CFU (D- or F-type credits).
Find out more: https://www.univr.it/clabverona
PLEASE NOTE: In order to be admitted to any teaching activities, including those of your choice, you must be enrolled in the academic year in which the activities in question are offered. Students who are about to graduate in the December and April sessions are therefore advised NOT to undertake extracurricular activities in the new academic year in which they are not enrolled, as these graduation sessions are valid for students enrolled in the previous academic year. Therefore, students who undertake an activity in an academic year in which they are not enrolled will not be granted CFU credits.
years | Modules | TAF | Teacher |
---|---|---|---|
1° 2° 3° | Ciclo tematico di conferenze: “Conflitti. Riconoscere, prevenire, gestire” - 2022/2023 | D |
Riccardo Stacchezzini
(Coordinator)
|
1° 2° 3° | Securitisation transactions - Focus on securitisations of OF NPL / NPE /UTP | D |
Michele De Mari
(Coordinator)
|
1° 2° 3° | Soft Skills Coaching Days - 2022/2023 | D |
Paola Signori
(Coordinator)
|
1° 2° 3° | The Fashion Lab - 2022/23 | D |
Caterina Fratea
(Coordinator)
|
years | Modules | TAF | Teacher |
---|---|---|---|
1° 2° 3° | Economic Thinking and Thesis Writing | D |
Marco Minozzo
(Coordinator)
|
1° 2° 3° | Job club | D |
Paola Signori
(Coordinator)
|
1° 2° 3° | Data Analysis Laboratory with R (Vicenza) | D |
Marco Minozzo
(Coordinator)
|
1° 2° 3° | Data Visualization Laboratory | D |
Marco Minozzo
(Coordinator)
|
1° 2° 3° | Python Laboratory | D |
Marco Minozzo
(Coordinator)
|
1° 2° 3° | Data Science Laboratory with SAP | D |
Marco Minozzo
(Coordinator)
|
1° 2° 3° | Advanced Excel Laboratory (Vicenza) | D |
Marco Minozzo
(Coordinator)
|
1° 2° 3° | Excel Laboratory (Vicenza) | D |
Marco Minozzo
(Coordinator)
|
1° 2° 3° | Piano di marketing 2022/23 | D |
Fabio Cassia
(Coordinator)
|
1° 2° 3° | Programming in Mathlab | D |
Marco Minozzo
(Coordinator)
|
1° 2° 3° | Programming in SAS | D |
Marco Minozzo
(Coordinator)
|
years | Modules | TAF | Teacher |
---|---|---|---|
1° 2° 3° | Business & predictive analytics for International Firms (with Excel Applications) - 2022/23 | D |
Angelo Zago
(Coordinator)
|
years | Modules | TAF | Teacher |
---|---|---|---|
1° 2° 3° | The Chartered Accountant as a business consultant | D |
Riccardo Stacchezzini
(Coordinator)
|
years | Modules | TAF | Teacher |
---|---|---|---|
1° 2° 3° | Project "B-EDUCATION: ideas that count" - 1 cfu | D |
Roberto Bottiglia
(Coordinator)
|
1° 2° 3° | Project "B-EDUCATION: ideas that count" - 2 cfu | D |
Roberto Bottiglia
(Coordinator)
|
Mathematical models for economic and financial decisions (2022/2023)
Teaching code
4S008934
Teacher
Coordinator
Credits
9
Language
Italian
Scientific Disciplinary Sector (SSD)
SECS-S/06 - MATHEMATICAL METHODS OF ECONOMICS, FINANCE AND ACTUARIAL SCIENCES
Period
Primo semestre (lauree) dal Sep 19, 2022 al Jan 13, 2023.
Learning objectives
The course aims to provide knowledge of classic mathematical models for the analysis and evaluation of the main financial operations, financing contracts and economic-financial investment projects. The models discussed also include the one for selecting an optimal investment portfolio in terms of return-risk, in the mean-variance approach.
At the end of the lessons, the student must be able to correctly set up a financial evaluation problem, taking into account the right hypotheses to be posed, the correct choice of mathematical expressions in the financial regime adopted and the correct mathematical methodology for solving the problem itself; therefore the teaching aims to develop the capacity for independent reasoning in the analysis and interpretation of concrete assessment and choice problems. In the lessons there will be a continuous alternation between the treatment of the general aspects of the models of financial mathematics, the illustration of examples of a real nature and the carrying out of exercises which equally propose the study of concrete situations. In exercises, especially in computationally heavy cases, scientific calculation software will be used. As the lessons progress, the students will find further learning exercises on the various topics covered in the course's E-learning pages.
Prerequisites and basic notions
The course only requires the knowledge of basic notions of mathematics (polynomial functions, exponential functions and their properties). More advanced notions (derivation, even in several variables, and use of the derivative to determine the maxima and minima of functions) will be recalled before their use.
Program
Basic financial operations: capitalization and actualization. Financial laws: amount, present value, interest, discount, interest rate and discount rate. Regime of simple interest, compound interest, commercial discount. Equivalence between different laws and between interest rates over periods other than the year. Strength of interest. Spot rates, forward rates. Nominal rates, inflation, real rates.
Compound financial operations and their classification. Present and final value of a financial annuity. Net present value (NPV). Case of constant annuities. Internal rate of return (IRR). Consumer credit, Annual nominal rate and annual percentage rate (APR).
Amortization plans and closing conditions. Various types of amortizations. The pre-amortization. A simple model for financial leasing.
Bonds. Valuation of the price of a bond. BOTs and BTPs and their valuation. Estimate of the interest rate term structure. Interest rate risk control / immunization: duration and convexity.
Criteria for choosing between financial projects: Discounted economic return / NPV / IRR / TRM.
Some reminder of mathematical analysis. A model for selecting the financial portfolio. Risk and return. Portfolios of two or more assets. Stochastic dominance. Diversification. Efficient frontier. Capital asset pricing model (CAPM). Systematic risk and diversifiable risk. Risk premium.
Bibliography
Didactic methods
The course gives 9 credits, corresponding to 72 hours of lessons. On the various topics classical lessons of a general nature will alternate with hours of an application nature, with the carrying out of exercises, also through reference to the use of software (in particular Excel of MSOffice / Calc of LibreOffice). The lectures are in Italian.
On the teaching web page, students have access to supplementary notes written by the teacher and all the previous exam topics and solutions. In the e-learning pages they may also find the texts and the developments of the exercises carried out weekly in the classroom.
During the semester of lessons and before the exam sessions, a tutoring service is active, held by students of the Master's Degree Courses and coordinated by the teacher.
Learning assessment procedures
The final exam consists of a written test, possibly followed by an oral test only in cases of not serious insufficiency in the written test (marks between 16/30 and 17/30). The test includes 3-4 exercises, each divided into several questions.
Halfway through the course, there will be an intermediate written test on the topics already addressed in the course. The intermediate test, similar in structure to the written test of the ordinary sessions, is designed with the aim of stimulating students to systematically study the subject during the course, in order to improve the learning process.
The intermediate test is optional; participation in the test does not affect the right to refuse the grade obtained and therefore to take the entire exam at the end of the course.
The grade obtained in the intermediate test weighs half of the final grade, which is achieved by passing a similar second final written test. The exam is passed if and only if both partial tests are passed, possibly with the need to take the supplementary oral exam in cases of minor insufficiency.
The topics of the mid-term test will be specified in a specific notice on the e-learning page of the course, well in advance of the test date. The topics covered by the mid-term exam are excluded from the written completion test at the end of the semester, without prejudice to the inevitable correlations between the topics, typical of the discipline. Useful rounds for the completion of the exam are the ones in the session immediately following the end of the course, namely the two rounds of the winter session.
Evaluation criteria
The score of each exercise or part of the exercise is proportionate to the difficulty of the same. The sum of the partial scores of the test is equal to 30 points.
Criteria for the composition of the final grade
The final mark of the written test is given by the sum of the partial scores. Students with sufficient results can always ask to take a supplementary oral test: in this case the mark of the written test is only a starting point, but neither the maintenance nor the increase of the mark itself is guaranteed, nor the passing of the exam. The same is true when the oral exam is compulsory.
Exam language
Italiano