- Docente: Tito Pietra
- Credits: 6
- SSD: SECS-P/01
- Language: English
- Teaching Mode: Traditional lectures
- Campus: Bologna
- Corso: Second cycle degree programme (LM) in Quantitative Finance (cod. 8409)
Learning outcomes
The aim of the class is to introduce the students to the basic
theory of competitive financial markets. It starts introducing the
basic concept of modern finance, i.e., the absence of arbitrage
opportunities, and its implications for asset pricing. Building on
this, it discusses choice under uncertainty and risk aversion, the
basic portfolio choice model and models of equilibrium prices and
allocations, including the canonical mean – variance model and
A.P.T.
Course contents
1 Introduction to equilibrium and arbitrage
2 Introduction to valuation3 Expected utility and risk
4 Optimal portfolio
5 Equilibrium prices and allocations
6 Mean-Variance models
7 APT
Course prerequisites :
Mathematics:
− Basic linear algebra,
− Point to set topology in Rn,
− Calculus of several variables and vector valued maps,
− Implicit function theorem,
− Optimization under linear constraints,
- Basic probability theory
If you are not that confident in your math proficiency, you may
find convenient to attend the crash course in math, offered in
September.
Economics:
Knowledge of microeconomics at the intermediate level (i.e., at
the level of, say, H. Varian, Microeconomics, Norton) is taken for
granted.
Please, take very seriously the prerequisites above. This is an
intensive class. You will hardly have the time to make up for your
lack of background knowledge once classes start.
Readings/Bibliography
LeRoy, S., and J. Werner, Principles of Financial Economics, Cambridge University Press, 2001
Huang, C.-F., R.H. Litzenberger, Foundations for Financial
Economics, North Holland, 1988
Teaching methods
Lectures
Assessment methods
The final exam on this part of the course is a three hours written
exam. I preserve my right to require an additional oral exam in
special circumstances.
The exam aims to verify the student's understanding of the key
analytical results and tools discussed in class. This can be
obtained requiring him/her to apply these tools to simple
computational problems, to explain properly the logic and the
proofs of some of these results, and to apply their basic logic to
novel economic problems.
Links to further information
http://www2.dse.unibo.it/pietra/
Office hours
See the website of Tito Pietra