Portfolio theory

Course objectives

Learning goals The course aims to provide the bases for the understanding of asset-liability management schemes and for the principal portfolio management strategies. Knowledge and understanding After attending the course the students have learned the principles of semi-deterministic and stochastic financial immunization, and the main portfolio management strategies, including those of "portfolio insurance". They are able to verify the role of financial assumptions in the management strategies. Applying knowledge and understanding After attending the course the students are able to formalize the problems of asset-liability and investment strategies in a stochastic environment. Making judgements Students develop critical skills by comparing different financial hypotheses applied to the same problem, also with the help of numerical examples. Communication skills Students, through the study of theory and practical exercises, acquire the technical-scientific language of the discipline, which must be used appropriately in the oral examination. Learning skills Students passing the exam have learned a method of analysis that allows them to tackle investment problems involving more complex financial instruments and a broader sets of risks.

Channel 1
BARBARA ROGO Lecturers' profile

Program - Frequency - Exams

Course program
1) Immunization theory: problem. 2) Fixend coupon bond and variable coupon bond. Interest rate swaps. 3)Term sturcture of interest rates (spot and forward price, spot and forward interest rates). Observerd term stuctures. 4) Parametric model: Svensson model, Smith-Wilson model. Stichastic models: Vasicek and CIR model. 5) Evolution of term structure: deterministic, price preserving, finite shift. 6) Basic results in immunization theory: the semi-deterministic approach to immunization. Financial indices of payment streams. Classical immunization theorems: Fisher-Weil, Redington. Time indexes. General Immunization Theorem . Dinamic management. 7) Selection problem of immunized portfolio: minimum cost, maximum dispersion. The constraints, Applications. 8) Minimum risk immunization; theorem.
Prerequisites
Knowledge of the fundamental notions of Financial Mathematics is required, in particular the valuation of cash flows, bonds, and the term structure of interest rates.
Books
De Felice, M., Moriconi, F. La teoria dell’immunizzazione finanziaria. Il Mulino.
Teaching mode
Lectures with the description of theoretical aspects and case-studies (applications of numerical techniques).
Frequency
Attendance is not compulsory, but it is strongly recommended in order to follow the lectures effectively and take part in classroom discussions.
Exam mode
The examination consists of an oral test, including general questions to assess overall understanding of the topics and specific questions to evaluate the level of in-depth knowledge achieved.
Lesson mode
Lectures with the description of theoretical aspects and case-studies (applications of numerical techniques).
Marco Micocci Lecturers' profile
  • Lesson code1024082
  • Academic year2025/2026
  • CourseStatistics, Finance and Actuarial sciences
  • CurriculumFinanza e assicurazioni
  • Year3rd year
  • Semester1st semester
  • SSDSECS-S/06
  • CFU9