Cálculo e Instrumentos Financeiros

Base Knowledge

Basic knowledge in mathematics.

Teaching Methodologies

The theoretical contents of the curricular unit will be presented making use of educational resources as Exposition, Explanation, Dialogue and Questioning and illustrated whenever possible with practical cases. Students are encouraged to apply the competences acquired through practical activities, including the analysis of practical cases and exercises. Whenever will be encouraged the sharing of professional experience.
The assessment can be done out by periodic evaluation, by exam in the normal season or by exam in the appeal season. The evaluation by periodic evaluation consists of one test (75% weighting) and problem solving (25% weighting). To obtain approval under this assessment scheme, the minimum score to obtain at each evaluation element is 8 points. The assessment by exam in the normal and appeal season shall consists of a comprehensive exam.

Learning Results

The aim of this curricular unit is to enable students with the fundamental concepts inherent to financial mathematics and to get students to know some financial instruments. It is also intended that students become able
to use the acquired knowledge in solving practical problems.
Each chapter will start with the presentation of clear definitions and proper principles. It will be given emphasis to the formulation of problems and results analysis. Given the practical nature of the matters to traverse, various exercises will be presented accordingly.

Program

1. Basic Concepts
1.1. Capital, time and interest
1.2. Interest rates
1.3. Discounting and discount rates
1.4. Present value and the accumulated value of the capital
2. Capitalization and discount
2.1. Capitalization schemes
2.2. Discount schemes
3. Values equivalence
3.1. Capital equivalence
3.2. Rates equivalence
4. Annuities
4.1. Annuities definition and classification
4.2. Annuities with constant terms
4.3. Annuities with variable terms
5. Loan Repayments
5.1. Loan tables and paid off systems
5.2. Loan tables and investment amortization
6. Financial Products and Instruments
6.1 Banking operations
6.2. Other credit operations
6.3. Commercial bills
7. Bond Loans
7.1. Bond loans concepts
7.2. Bonds issuing, repayments, terms, returns and rates

Grading Methods

Avaliação por Exame
  • - Exame - 100.0%
Avaliação Periódica
  • - Teste Teórico - 75.0%
  • - Resolução de problemas - 25.0%

Internship(s)

NAO

Bibliography

– RODRIGUES, Azevedo, NICOLAU, Isabel (2010), Elementos de Cálculo Financeiro, Áreas Editora, 9ª Edição.

– MATEUS, José (1999), Cálculo Financeiro, 5ª Edição, Edições Sílabo.

– CANADAS, Natália (1998), A Matemática do Financiamento e das Aplicações de Capital, Plátano Editora, Lisboa.

– BARROSO, Maria da Nazaré, COUTO, Eduardo, CRESPO, Nuno (2009), Cálculo e Instrumentos Financeiros: da Prática para a Teoria, 2ª edição. Lisboa: Escolar Editora.

– LAUREANO, Raul, SANTOS, Luís (2011), Fundamentos do Cálculo Financeiro. Lisboa: Edições Sílabo.

– MATIAS, Rogério (2007), Cálculo Financeiro: teoria e prática, Escolar Editora, 2ª Edição.

– CADILHE, Miguel, LAGO, Rosas (1998), Matemática Financeira Aplicada, Edições Asa.

– LISBOA, João Veríssimo, AUGUSTO, Mário Gomes (2008), Cálculo Financeiro. Porto: Vida Económica.

– MATEUS, José (2002), Exercícios Resolvidos de Cálculo Financeiro, Edições Sílabo.