Publication in the Diário da República: Despacho nº 3393/2016 - 04/03/2016
5 ECTS; 2º Ano, 1º Semestre, 60,0 TP , Cód. 9152314.
Lecturer
- Luís António Antunes Francisco (1)(2)
(1) Lead Professor
(2) Teaching Professor
Prerequisites
This module has no formal pre-requisites though the prior attendance of introductory modules in mathematics would be a helpful foundation.
Objectives
- Calculate present and future values of one or more capitals, solving problems related to such operations;
- Equate and distinguish different types of annuities, solving problems;
- Solve problems attending to different payment modalities of a loan.
Program
1. Introduction
- Basic concepts.
- Interest rate and discount rate.
- Present value and future value.
2. Capitalization processes
- Simple interest scheme.
- Banking discount and reform of trade bills.
- Compound interest scheme.
- Nominal and effective rates, proportional and equivalent rates.
- Current and real rates.
- Capitalization in the domain of continuous.
3. Annuities
- Concept and modalities.
- Annuities with constant terms.
- Entire and temporary annuities.
- Fractional and temporary annuities.
- Perpetual annuities.
- Annuities with terms in Arithmetic Progression.
- Annuities with terms in Geometric Progression.
4. Loan amortizations
- Concept and modalities.
- Reimbursement in constant annuities.
- Reimbursement in constant periodic capital amortization.
- Other modalities and variants.
- Bond loans.
Evaluation Methodology
Continuous Assessment:
- Two interim tests are held during the teaching period, each accounting for 20% of the Final Grade.
- The final examination accounts for 60% of the Final Grade.
- Students who obtain a Final Grade above 10 are exempt from taking the Examination.
Exam Assessment:
- Students who do not pass the continuous assessment are eligible to take the Exam, in accordance with the Academic Regulations. The Exam has a weighting of 100%.
Bibliography
- Couto, E. e Crespo, N. e Barroso, M. (2009). Cálculo e Instrumentos Financeiros, da Prática para a Teoria. Lisboa, Portugal: Escolar Editora
- Matias, R. (2024). Cálculo Financeiro, Teoria e Prática. Lisboa, Portugal: Escolar Editora
- Quelhas, A. e Correia, F. (2026). Manual de Matemática Financeira. Coimbra, Portugal: Livraria Almedina
- Rodrigues, A. e Nicolau, I. (2010). Elementos de Cálculo Financeiro. Lisboa, Portugal: Áreas Editora
Teaching Method
- Traditional lecturing methods supported by audiovisual resources.
- Practical exercises.
- Completion of two interim assessments and a final examination.
Software used in class
Not applicable.
