Cálculo e Instrumentos Financeiros

Basic knowledge in mathematics.

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.

At the end of this learning unit’s term, the student must be able:

1. To explain the concept of time value of money, discounting and compounding and to be able to compare cash flows with different timetables; 

2. To compute cash flows from applications and financing operations;

3. To compute currency and interest rate operations;

4. Knowing how to convert an annual interest rate into a periodic one, either on nominal or effective terms;

5. Knowing how to divide any payment into its capital/principal and interest components and to present the respective loan schedule table.

Chapter I – Introduction

1. Basic Concepts 1.1. Capital, time and interest 1.2. Interest rates 1.3. Discounting and discount rates

2. Capitalization and discount 2.1. Capitalization schemes 2.1.1. Simple interest 2.1.2 Compound interest 2.2 Discounting schemes

3. Interest rates 3.1. Proportional and equivalent rates 3.2. Nominal and effective rates 3.3. Gross and net rates 3.4. Nominal and actual rates

4. Values equivalence. Equation of equivalence.

Chapter II – Annuities and Perpetuities

1. Annuities definition and classification 1.2. Annuities with constant terms 1.3. Annuities with variable terms 1.4. Fractional annuities with constant terms 1.5. Fractional annuities with variable terms

Chapter III – Financing sources

1. Banking operations: bills discounting

2. Loan Repayments 2.1. Definition and characteristics 2.2. Loan Repayments Methods 2.3 – Loan tables and investment amortization.

• - Resolução de problemas - 25.0%
• - Teste Teórico - 75.0%

• - Exame - 100.0%

NAO

– Barroso, M.N., Couto, E., & Crespo, N. (2009). Cálculo e instrumentos financeiros: da prática para a teoria (2ª Ed.). Escolar Editora.

– Canadas, N. (1998). A matemática do financiamento e das aplicações de capital. Plátano Editora. 

– Laureano, R., Santos, L. (2011). Fundamentos do Cálculo Financeiro. Edições Sílabo.

– Lisboa, J.V., Augusto, M.G. (2018). Cálculo Financeiro (2ª Edição Revista e Atualizada). Vida Económica. 

– Mateus, J. (1999). Cálculo Financeiro (5ª Ed). Edições Sílabo.

– Mateus, J. (2009). Exercícios Práticos de Cálculo Financeiro (3ª Edição – 4ª Reimpressão). Edições Sílabo.

– Matias, R. (2018). Cálculo Financeiro: teoria e prática (6ª Ed.). Escolar Editora.

– Matias, R., Silva, I. (2020). Cálculo Financeiro – Exercícios Resolvidos e Explicados (2ª Ed.). Escolar Editora.

– Quelhas, A.P., Correia, F. (2017). Manual de matemática financeira (4ª Ed.). Edições Almedina.

– Rodrigues, A., Nicolau, I. (2010). Elementos de Cálculo Financeiro (9ª Ed.). Áreas Editora.