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  1. Courses

Models and methods in economics and finance - 86051

courses
ID:
86051
Dettaglio:
SSD: Mathematics for Economics, Actuarial Studies and Finance Duration: 48 CFU: 6
Located in:
BERGAMO
Url:
Course Details:
ECONOMICS - 86-270/ECONOMIA APPLICATA Year: 3
Year:
2025
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Overview

Date/time interval

Secondo Semestre (16/02/2026 - 29/05/2026)

Syllabus

Course Objectives

The course introduces and analyse some fundamental models to understand the financial markets.

In the first part, paying particular attention to the bond market. In particular, the aim of the course is threefold: (1) to introduce model for the description of interest rate dynamics in the international markets, (2) to explain how to use these models to interpret financial and economic phenomena, and (3) to describe how to build a bond portfolio to face future payments. The student will be able to model interest rate curves, such as BOT and BTP yields, and short-term interest rate forecasts, such as the EURIBOR. This way, she will be able to interpret indispensable dynamics for economical and financial decision makers. For instance, the impact of the spread BTP-Bund variations on state and bank budgets, or the effect of EURIBOR fluctuations on a floating-rate mortgage. Moreover, the student will be able to analyse the risk/reward profile of bond instruments to build immunized portfolios which represent the main investment structure for financial institutions, both banks and insurance companies.

In the second part, the course introduces and analyses the fundamental models for the understanding of stock markets. In particular, the course presents the main models to evaluate stocks and their risk, and the most important approaches to build stock investment portfolios.

The student will be able to analyse the risk/reward profile of stock instruments quoted in the financial markets using the most modern techniques adopted in international financial institutes. This way, she will be able to build stock portfolios to reach specific performance targets controlling the portfolio risk.


Course Prerequisites

Compulsory prerequisites required (Propedeuticità) are published on the web site of the course degree.

Teaching Methods

The course consists of traditional lectures and laboratory sessions where the models introduced during the lectures are implemented.

Assessment Methods

The final exam is a written and an oral examination and it is the same for attending and for non-attending students.


Contents

Introduction to financial calculus:

- Capitalization and discounting

- Interest rate term structure (Nelson-Siegel-Svensson model)

- Short-term rates (Vasicek and Cox-Ingersoll-Ross models)

- Internal rate of return

Introduction to bond markets:

- Price and return of bonds

- Risk of bonds (duration and convexity)

- Immunized bond portfolios (Reddington and Fisher-Weil models)

Introduction to risk measures analysing stock historical series:

- Variance

- Standard Deviation (Volatility)

- Value-at-Risk (V@R)

- Conditional Value-at-Risk (CV@R)

Introduction to portfolio theory:

- Portfolio selection problem between two or more assets (Markowitz model)

All cited models are introduced from a theoretical view-point and, mainly, their qualities are tested through applications in Excel considering case studies taken directly from financial markets.


Online Resources

  • E-learning
  • Leganto - Reading lists

Degrees

Degrees

ECONOMICS - 86-270 
Bachelor's Degree
3 years
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People

People

VITALI Sebastiano
Gruppo 13/STAT-04 - METODI MATEMATICI DELL'ECONOMIA E DELLE SCIENZE ATTUARIALI E FINANZIARIE
AREA MIN. 13 - Scienze economiche e statistiche
Settore STAT-04/A - Metodi matematici dell'economia e delle scienze attuariali e finanziarie
Professori Associati
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Other

Main module

Models and methods in economics and finance
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