# Financial Calculus

Business Administration (pós-laboral), 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

Lecturer

Prerequisites
Having attended mathematics courses.

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
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.

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

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

Software used in class
Not applicable.