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CODE 41605
ACADEMIC YEAR 2019/2020
CREDITS
SCIENTIFIC DISCIPLINARY SECTOR SECS-S/06
LANGUAGE English
TEACHING LOCATION
  • GENOVA
SEMESTER 2° Semester
TEACHING MATERIALS AULAWEB

OVERVIEW

Course description

An introduction to mathematical methods focusing on portfolio optimization.
 

AIMS AND CONTENT

LEARNING OUTCOMES

The course aims at providing models and methods to theoretical and practical analysis of asset allocation problems. Special attention will be devoted to classical portfolio theory and empirical studies.

TEACHING METHODS

Lessons held by the instructor as well as cases study.

SYLLABUS/CONTENT

Part I. Basic notations and conventions

Returns calculation. Stylized facts: lack of correlation; Quadratic Positive Correlation; Absence of Normality. Introduction to Technical Analysis.

Part II: Portfolio selection à la Markowitz 

Returns calculation. Stylized facts: lack of correlation; Quadratic Positive Correlation; Absence of Normality. Mean-Variance Model: the case of two assets and the general case. Graphical analysis,. Implications. The separation theorem and its financial interpretation. Efficient portfolios by way of matrix algebra. The efficient frontier. The model with a risk-free asset. An outline on CAPM and market line.

 

Part III: Risk Measures.

A quantile-based approach. Coherent risk measures. Value-at-Risk: definition and statistical implications.  Expected Shortfall: definition and statistical implications. Some tests on VaR.

 

Part IV: Advanced Asset Allocation.

Outline of bootstrap techniques. The resampling approach by Michaud. The Black-Litterman model. Mean-variance-skewness  models of asset allocation. Portfolio optimization based on risk measures.

RECOMMENDED READING/BIBLIOGRAPHY

Books and classes material will be available on Aulaweb.

TEACHERS AND EXAM BOARD

Exam Board

PIERPAOLO UBERTI (President)

CRISTINA LUIGIA GOSIO

MARINA RESTA (President)

LUCA PERSICO

LESSONS

LESSONS START

Sem: II

 

EXAMS

EXAM DESCRIPTION

Written examination

ASSESSMENT METHODS

Written examination plus a report, according to what stated during the lessons by the teacher

Exam schedule

Data appello Orario Luogo Degree type Note
16/01/2020 09:00 GENOVA Scritto Prof.ssa Resta con accettazione online
30/01/2020 09:00 GENOVA Scritto Prof.ssa Resta con accettazione online
12/06/2020 09:00 GENOVA Scritto
26/06/2020 09:00 GENOVA Scritto
10/07/2020 09:00 GENOVA Scritto
10/09/2020 09:00 GENOVA Scritto

FURTHER INFORMATION

Attendance

Not mandatory.