Base Knowledge
Knowledge of Mathematics A for 12th grade.
Teaching Methodologies
The lessons are theoretical and practical in nature. After explaining the concepts, the students are asked to apply them to a wide range of exercises. This is a teaching methodology that is widely applied in the field of business science.
In addition, the topics taught are illustrated using concrete situations from the life of organisations, which is also a common teaching practice in the field of business sciences.
Learning Results
The course aims to provide students with:
1) knowledge of the financial value of time;
2) understanding of the calculation methods inherent in active and passive financial operations;
3) learning about some of the financing methods available to organisations;
4) identifying the determining factors of the financial cost inherent in the various types of financing;
5) producing and interpreting maps and other documents relating to the various types of financing;
6) understanding of the concepts and calculation processes that are fundamental to the pursuit of knowledge in the financial area.
Classes are theoretical and practical in nature. After the essential theoretical concepts have been explained, the students are confronted with a wide range of practical exercises to be solved in class, and complementary exercises are proposed in order to consolidate these concepts. This type of methodology makes it possible to fulfil the previously stated objectives.
Program
I. Capitalization and discount
1. Return, financial transactions, and interest rate
2. Capitalisation: simple interest, compound interest and continuous capitalisation
3. Discount operations: discount at simple interest and at compound interest
II. Interest rates
1. Main issues
2. Proportional and equivalent interest rates
3.Nominal and effective interest rates
4.Average rates
5.Gross and net interest rates
6.Annual percentual rate of charge
III. Sources of short-term finance
1.Discounting of securities: bills of exchange and promissory notes
2.Effective cost of banking discount
3.Roll-over
IV. Equivalence of capital
1.Equations of value
2.Evaluation rate
V. Annuities
1.Concept, characteristics and classification criteria
2.Two fundamental cases: discounted value and accumulated value of an annuity
3.Due, deferred and perpetual annuities
VI. Long-term sources of finance: classic loans
1. Amortization of loans with periodic repayments and periodic instalments
2.Amortization schedules
Curricular Unit Teachers
Paulo António Correia SimõesGrading Methods
In terms of assessment, to be carried out in accordance with the ISCAC Regulation, students have the following two modalities:
1. FINAL EVALUATION
Carrying out an individual written test (exam), with an estimated duration of 90 to 120 minutes, with the approval of students who obtain a grade equal to or greater than 10 points.
2. DISTRIBUTED EVALUATION
In the Financial Calculus Topics curricular unit, the assessment of knowledge can also take place in the form of an assessment distributed throughout the academic semester.
Distributed evaluation, with the following conditions:
2.1. Carrying out two tests, each lasting approximately 90 minutes;
2.2. The evaluation of each test will be graded on a scale from 0 to 20. Students will have to obtain a minimum grade of 8 values (no rounding) in each of the tests.
2.3. Students pass when the arithmetic average of the two tests results in a rating equal to or greater than 9.5, on a scale from 0 to 20.
2.4. Access to this form of assessment is conditional on attendance at at least 75% of classes (there is no possibility of justifying absences).
Important note: Students who choose the assessment modality indicated in 2) and who do not obtain a final classification equal to or greater than 10 points may take the regular period exam included in the assessment modality 1).
Internship(s)
NAO
Bibliography
Alves, C., Ribeiro, C., Farinha, J. & Alves, R. (2023). Cálculo Financeiro Aplicado. Coimbra: Almedina.
Batista, A. M. S. (2018). Matemática Financeira: O valor do dinheiro ao longo do tempo. Sintra: Rei dos Livros.
Matias, F., Martins, A., Monteiro, C. & Correia, T. (2023). Matemática Financeira: Teoria e Prática. Lisboa: Edições Sílabo.
Matias, R. (2024). Cálculo Financeiro: Teoria e prática. Forte de Casa: Escolar Editora.
Quelhas, A. P. & Correia, F. (2017). Manual de Matemática Financeira. Coimbra: Almedina.
Quelhas, A. P. (2019). Mathematics of Finance. Almedina (em versão e-book/especialmente destinado a estudantes Erasmus).