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Ano Letivo: 2017/18

Bachelor's Degree in Gestão de Empresas

Financial Calculus

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Publication in the Diário da República: RCC 01/04/2011 [DR.7678/2011 26.05.2011]

5 ECTS; 2º Ano, 1º Semestre, 60,0 TP

- Luís António Antunes Francisco

There are no prerequisites, however, it is recommended the previous frequency of Mathematics curricular units.

- 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.

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
Frequency Assessment:
- Six Mini-tests during class period, with a quotation of 5 for each, which count to the final score the best four (40% of the final grade).
- A final test (60% of the final grade).
Score < 10 => Exam or Recourse Exam.

- Quelhas, A. (2014). Manual de Matemática Financeira. Coimbra, Portugal: Livraria Almedina
- Nicolau, I. e Rodrigues, A. (2010). Elementos de Cálculo Financeiro. Lisboa, Portugal: Áreas Editora
- Matias, R. (2015). Cálculo Financeiro, Teoria e Prática. Lisboa, Portugal: Escolar Editora
- Barroso, M. e Crespo, N. e Couto, E. (2009). Cálculo e Instrumentos Financeiros, da Prática para a Teoria. Lisboa, Portugal: Escolar Editora

Teaching Method
• Theoretic presentations by the teacher through expositive and interrogative methods, with the board support and with audiovisual support
• Resolution of practical exercises
• Realization for assessment of six "mini-tests" during the class period.

Software used in class
Not applicable.




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