﻿ Financial Calculus - Gestão de EmpresasInstituto Politécnico de Tomar

# IPT

Ano Letivo: 2019/20

# Gestão de Empresas

## Financial Calculus

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
- Renato Heitor Correia Domingues (1)(2)

(1) Docente Responsável
(2) Docente que lecciona

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 evaluation:
2 interim tests weighing 30% each and final test 40%. All evidence has
minimum grade requirement of 7 points.
Approves the chair, who gets a weighted average equal to or greater than 10 values.
Non continuous assessment:
Written test (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. (2015). Cálculo Financeiro, Teoria e Prática. Lisboa, Portugal: Escolar Editora
- Quelhas, A. (2014). 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.
Six short class-tests during term-time.

Software used in class
Not applicable.