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.
Academic calendar
The academic calendar shows the deadlines and scheduled events that are relevant to students, teaching and technical-administrative staff of the University. Public holidays and University closures are also indicated. The academic year normally begins on 1 October each year and ends on 30 September of the following year.
Course calendar
The Academic Calendar sets out the degree programme lecture and exam timetables, as well as the relevant university closure dates..
Period | From | To |
---|---|---|
primo semestre (lauree magistrali) | Oct 4, 2021 | Dec 17, 2021 |
secondo semestre (lauree magistrali) | Feb 21, 2022 | May 13, 2022 |
Session | From | To |
---|---|---|
sessione invernale | Jan 10, 2022 | Feb 18, 2022 |
sessione estiva | May 23, 2022 | Jul 8, 2022 |
sessione autunnale | Aug 22, 2022 | Sep 23, 2022 |
Session | From | To |
---|---|---|
sessione autunnale (validità a.a. 2020/2021) | Dec 6, 2021 | Dec 10, 2021 |
sessione invernale (validità a.a. 2020/2021) | Apr 6, 2022 | Apr 8, 2022 |
sessione estiva (validità a.a. 2021/2022) | Sep 5, 2022 | Sep 6, 2022 |
Exam calendar
Exam dates and rounds are managed by the relevant Economics Teaching and Student Services Unit.
To view all the exam sessions available, please use the Exam dashboard on ESSE3.
If you forgot your login details or have problems logging in, please contact the relevant IT HelpDesk, or check the login details recovery web page.
Should you have any doubts or questions, please check the Enrollment FAQs
Academic staff
Santi Flavio
flavio.santi@univr.it 045 802 8239Vannucci Virginia
virginia.vannucci@univr.itStudy Plan
The Study Plan includes all modules, teaching and learning activities that each student will need to undertake during their time at the University.
Please select your Study Plan based on your enrollment year.
1° Year
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2° Year activated in the A.Y. 2022/2023
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Legend | Type of training activity (TTA)
TAF (Type of Educational Activity) All courses and activities are classified into different types of educational activities, indicated by a letter.
Mathematical finance (2021/2022)
Teaching code
4S001142
Teacher
Coordinator
Credits
9
Language
Italian
Scientific Disciplinary Sector (SSD)
SECS-S/06 - MATHEMATICAL METHODS OF ECONOMICS, FINANCE AND ACTUARIAL SCIENCES
Period
secondo semestre (lauree magistrali) dal Feb 21, 2022 al May 13, 2022.
Learning outcomes
The course offers an introduction to arbitrage theory and its applications to financial derivatives pricing in discrete and continuous time.
Program
1. Discrete market models
Uniperiod models: binomial and general. Multiperiod models: binomial and general.
Financial portfolios, the principle of non-arbitrage.
Derivatives: definition, examples, properties.
Absence of arbitrage.
Discrete-time martingale processes
Equivalent martingale measures and risk neutrality.
Numeraire
Replicable securities and valuation of derivatives
Completeness of the markets
The return of risky securities
The two fundamental asset pricing theorems
2. Market models in continuous time
Transition from discret to continuous times.
Geometric Brownian motion and modeling of empirical data
Risk quantification with a model
Ito Integral Ito, quadratic variation / covariation,
stochastic differential equations, characterization of martingales
Ito Lemma
Market model with n + 1 assets and m Brownian motions
Self-financing portfolios
Absence of arbitrage
Girsanov's theorem
Equivalent martingale measure
Replicability and pricing of derivatives
Completeness and EDP for the price function of a derivative
Delta hedging
Black and Scholes model
Formula for the price of call and put options
Useful material on the moodle page of the course: slides of the lessons, link to the notes on OneNote, exercises
Important knowledge for a successful learning: matrix calculations, linear systems, real functions of one or more real variables (in particular: continuous functions, composition of functions, partial derivatives), basic concepts of financial mathematics (interest rate, return of an investment, difference between bonds and shares of a firm), fundamental concepts of probability theory (sigma algebra, random variables, expected values, covariance, space L ^ 2 of rv, independence, conditional probabilities and expected values, equivalent probability measures, probability density, distribution function, Gaussian law, convergence in distribution, in probability, in L ^ 2, almost certain equality), basic concepts on stochastic processes (martingale, Brownian motion)
Preparatory courses: Mathematics, Financial Mathematics, Stochastic processes
Skills necessary for successful learning: willingness and ability to conduct logical reasoning in a rigorous way, and to motivate each step and the conclusions
Organization of teaching activities: lessons, exercises
Bibliography
Examination Methods
During the course, verification quizzes will be carried out, the evaluation of which can attribute a bonus of up to 3 points that can be added to the final exam grade. Those who did not take any quiz during the course must notify me one month before the exam in which they intend to participate, and must compulsorily carry out a homework by delivering the solutions within 9 days before the exam.
The final exam consists of a written test. Also an oral examination could be compulsory, in case the teacher needs for specific insights
The written test consists of practical exercises and theoretical questions, and can cover the whole programme of the course. Using notes or books or similar material during the test is forbidden
The exam is not passed if the mark in the written test is less than 18/30.
In case of oral exam, the mark may become insufficient if for instance inconsistencies are found with what is written, or if the competence of the student is not sufficient. The mark score may increase if parts of exercises have not been evaluated for doubt of interpretation. Requests for further questions to increase the score are not accepted. The adequacy of requesting the necessary clarifications will be established only by the teacher.
Characteristics of the expected performance. The student is required to demonstrate a critical and in-depth knowledge of the topics covered in the course. The concepts must not be exposed mechanically but in a reasoned way, the student is expected to be able to recognize when a formula obtained during the lesson for a specific example is not appropriate for the case she has to deal with. Connections among different parts of the program may be required and advanced level exercises can be (marginally) proposed.
The concise but comprehensive exposure, the rigor, the direct pointing towards the core of the matter will be particularly appreciated. Vague, inaccurate, poorly detailed or incorrect answers will be penalized
Students not attending the lectures: the examination methods are not differentiated between attending and non-attending students
For further details about the verification quizzes and the exam see the forum at the moodle page
Type D and Type F activities
Nei piani didattici di ciascun Corso di studio è previsto l’obbligo di conseguire un certo numero di crediti formativi mediante attività a scelta (chiamate anche "di tipologia D e F").
Oltre che in insegnamenti previsti nei piani didattici di altri corsi di studio e in certificazioni linguistiche o informatiche secondo quanto specificato nei regolamenti di ciascun corso, tali attività possono consistere anche in iniziative extracurriculari di contenuto vario, quali ad esempio la partecipazione a un seminario o a un ciclo di seminari, la frequenza di laboratori didattici, lo svolgimento di project work, stage aggiuntivo, eccetera.
Come per ogni altra attività a scelta, è necessario che anche queste non costituiscano un duplicato di conoscenze e competenze già acquisite dallo studente.
Quelle elencate in questa pagina sono le iniziative extracurriculari che sono state approvate dal Consiglio della Scuola di Economia e Management e quindi consentono a chi vi partecipa l'acquisizione dei CFU specificati, alle condizioni riportate nelle pagine di dettaglio di ciascuna iniziativa.
Si ricorda in proposito che:
- tutte queste iniziative richiedono, per l'acquisizione dei relativi CFU, il superamento di una prova di verifica delle competenze acquisite, secondo le indicazioni contenute nella sezione "Modalità d'esame" della singola attività;
- lo studente è tenuto a inserire nel proprio piano degli studi l'attività prescelta e a iscriversi all'appello appositamente creato per la verbalizzazione, la cui data viene stabilita dal docente di riferimento e pubblicata nella sezione "Modalità d'esame" della singola attività.
COMPETENZE TRASVERSALI
Scopri i percorsi formativi promossi dal Teaching and learning centre dell'Ateneo, destinati agli studenti iscritti ai corsi di laurea, volti alla promozione delle competenze trasversali: https://talc.univr.it/it/competenze-trasversali
ATTENZIONE: Per essere ammessi a sostenere una qualsiasi attività didattica, inlcuse quelle a scelta, è necessario essere iscritti all'anno di corso in cui essa viene offerta. Si raccomanda, pertanto, ai laureandi delle sessioni di dicembre e aprile di NON svolgere attività extracurriculari del nuovo anno accademico, cui loro non risultano iscritti, essendo tali sessioni di laurea con validità riferita all'anno accademico precedente. Quindi, per attività svolte in un anno accademico cui non si è iscritti, non si potrà dar luogo a riconoscimento di CFU.
years | Modules | TAF | Teacher |
---|---|---|---|
1° 2° | The fashion lab (1 ECTS) | D |
Caterina Fratea
(Coordinator)
|
1° 2° | The fashion lab (2 ECTS) | D |
Caterina Fratea
(Coordinator)
|
1° 2° | The fashion lab (3 ECTS) | D |
Caterina Fratea
(Coordinator)
|
years | Modules | TAF | Teacher |
---|---|---|---|
1° 2° | Marketing plan | D |
Virginia Vannucci
(Coordinator)
|
years | Modules | TAF | Teacher |
---|---|---|---|
1° 2° | Internationalization and Sustainability. Friends or Enemies? | D |
Angelo Zago
(Coordinator)
|
1° 2° | Internationalization and Sustainability. Friends or Enemies? | D |
Angelo Zago
(Coordinator)
|
1° 2° | Internationalization and Sustainability. Friends or Enemies? | D |
Angelo Zago
(Coordinator)
|
1° 2° | Data Analysis Laboratory with R (Verona) | D |
Marco Minozzo
(Coordinator)
|
1° 2° | Data Visualization Laboratory | D |
Marco Minozzo
(Coordinator)
|
1° 2° | Python Laboratory | D |
Marco Minozzo
(Coordinator)
|
1° 2° | Advanced Excel Laboratory (Verona) | D |
Marco Minozzo
(Coordinator)
|
1° 2° | Excel Laboratory (Verona) | D |
Marco Minozzo
(Coordinator)
|
1° 2° | Samsung Innovation Camp | D |
Marco Minozzo
(Coordinator)
|
years | Modules | TAF | Teacher |
---|---|---|---|
1° 2° | Business & Predictive Analytics for International Firms (with Excel Applications) - 2021/2022 | D |
Angelo Zago
(Coordinator)
|
1° 2° | What paradigms beyond the pandemic? Individual vs. Society, Private vs. Public | D |
Federico Brunetti
(Coordinator)
|
1° 2° | Elements of Financial Risk Management - 2021/2022 | D |
Claudio Zoli
(Coordinator)
|
1° 2° | Integrated Financial Planning | D |
Riccardo Stacchezzini
(Coordinator)
|
years | Modules | TAF | Teacher |
---|---|---|---|
1° 2° | The fashion lab (1 ECTS) | D |
Caterina Fratea
(Coordinator)
|
1° 2° | The fashion lab (2 ECTS) | D |
Caterina Fratea
(Coordinator)
|
1° 2° | The fashion lab (3 ECTS) | D |
Caterina Fratea
(Coordinator)
|
years | Modules | TAF | Teacher |
---|---|---|---|
1° 2° | La metodologia SEM applicata allo studio della relazione tra gestione del rischio e performance nelle PMI | D |
Cristina Florio
(Coordinator)
|
1° 2° | Laboratory on research methods for business | D |
Cristina Florio
(Coordinator)
|
1° 2° | Machine learning and quantum computing with some applications in mathematical finance | D |
Alessandro Gnoatto
(Coordinator)
|
years | Modules | TAF | Teacher | |
---|---|---|---|---|
1° | Programming in Matlab | D |
Marco Minozzo
(Coordinator)
|
|
1° 2° | How to Enter in a Foreign Market. Theory and Applications - 2021/2022 | D |
Angelo Zago
(Coordinator)
|
|
1° 2° | Introduction to Java programming | D |
Alessandro Gnoatto
(Coordinator)
|
|
1° 2° | Data Science Laboratory with SAP | D |
Marco Minozzo
(Coordinator)
|
|
1° 2° | Programming in SAS | D |
Marco Minozzo
(Coordinator)
|
Career prospects
Module/Programme news
News for students
There you will find information, resources and services useful during your time at the University (Student’s exam record, your study plan on ESSE3, Distance Learning courses, university email account, office forms, administrative procedures, etc.). You can log into MyUnivr with your GIA login details: only in this way will you be able to receive notification of all the notices from your teachers and your secretariat via email and soon also via the Univr app.
Graduation
List of theses and work experience proposals
theses proposals | Research area |
---|---|
Tesi di laurea magistrale - Tecniche e problemi aperti nel credit scoring | Statistics - Foundational and philosophical topics |
Fattori ESG e valutazione d'azienda | Various topics |
Il metodo Monte Carlo per la valutazione di opzioni americane | Various topics |
Il Minimum Requirement for own funds and Eligible Liabilities (MREL) | Various topics |
L'acquisto di azioni proprie | Various topics |
Proposte Tesi A. Gnoatto | Various topics |