PhD in Economics and Management

1. Preliminaries
Bonds, stocks
The pricing problem
Stochastic calculus
2. Principles of Asset Pricing
Pricing under uncertainty: discrete models
Consumption-based pricing: the stochastic discount factor
Risk-neutral pricing
3. Principles of Derivatives Pricing
The Black-Scholes model
Risk hedging
Pricing of European options and of forward contracts

Important knowledge for a successful learning: 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, discount factor), 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)

Preparatory courses: Mathematics, Financial Mathematics, Probability, Statistics

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: lectures

Reference texts
Author	Title	Publishing house	Year	ISBN	Notes
T. Bjork	Arbitrage theory in continuous time (Edizione 3)	Oxford University Press	2009	978-0-199-57474-2
John H. Cochrane	Asset pricing (Edizione 2)	Princeton University Press	2005

Examination Methods

The 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 D.

The final exam mark is awarded considering mainly the outcome of the written test.
In case of oral exam, the mark may become insufficient if inconsistencies are found with what is written. 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 necessity of further questions will be only established by the teacher. Such questions may only increase the grade marginally

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, connections among different parts of the program may be required and advanced level exercises (marginally) can be proposed.
The concise but comprehensive exposure, the rigor, the direct pointing towards the core of the matter will be particularly appreciated. Vague, inaccurate, poorly justified or incorrect answers will be penalized

Students with disabilities or specific learning disorders (SLD), who intend to request the adaptation of the exam, must follow the instructions given HERE

PhDs

Training and Research

PhD Programme Courses/classes

Academic writing in latex and academic presentation

Advanced English for Academic Skills

Agenda dell’organizzazione delle nazioni unite 2030 sullo sviluppo sostenibile, ricerca e diritto antidiscriminatorio: strumenti ed esperienze nelle università

Artificial intelligence, cybersecurity e diritto

Behavioral and Experimental Economics

Comunicare la scienza: il ruolo dei ricercatori e il rapporto tra esperti, cittadini e istituzioni

Corporate Governance

Corso di inglese B1/certificazione B1

Corso di inglese B2/certificazione B2

Corso di inglese C1/certificazione C1

Corso di lingua italiana per stranieri

Corso di programmazione con matlab

Medical statistics with R

Basic statistics course

Intermediate statistics course

(Meta-analysis using the statistical software Stata and R

Corso teorico-pratico di microscopia di base

Development economics

Diritto d'autore e brevetti

Dissemination dei risultati della ricerca

Econometrics for management

Economia dei Mercati Energetici

English for academic presentations

English for academic writing

Finanza

Game Theory

Inequality

Introduzione al “public speaking”

La mia archeologia e la mia politica culturale

Python programming language

Macro economics

Mathematics

Microeconomics 1

Organization Theory

Political economy

Presentation of Horizon Europe framework programme

Probability

Project writing for beginners

Qualitative methodologies in management studies

Quantitative methodologies in management studies

Seminario Consigliera di fiducia

Software R

Spin off e start-up innovative

Statistica

Supply Chain Management

Protecting psychological well-being in the PhD program: development and enhancement of personal strategies and attitudes that predispose to professional satisfaction and ethical collaboration.

Finanza (2020/2021)

Learning outcomes

Program

Examination Methods

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