Curricular Unit:Code:
Financial Calculus1175CFIN
Year:Level:Course:Credits:
1UndergraduateBusiness Sciences2 ects
Learning Period:Language of Instruction:Total Hours:
Winter SemesterPortuguese/English26
Learning Outcomes of the Curricular Unit:
The course of Financial Calculus, as support Mathematician in finance, aims to equip students with the tools necessary for a proper analysis of the different forms of financing and financial investment. For this purpose, the following learning objectives are presented:
- Understand the importance of the golden rule of financial calculation and the meaning of the variables time, capital and interest; the difference between nominal / effective rates and proportional / equivalent rates.
- Knowledge of the 3 capitalization regimes
-Understand the importance of the golden rule of financial calculation.
- know how to prepare amortization tables in the French system, Constant Amortization and American system.
Syllabus:
PC1. The Financial Capital and Operations; Basics Concepts Applied; Nominal and Effective Interest Rates. PC2. e PC3. Applications of Time Value; PC4. The Value of Cash Flow Streams. PC5. The Rents: notion and applications. PC6. Amortization of Loans.
Demonstration of the Syllabus Coherence with the Curricular Unit's Objectives:
CP1 Objectives - To understand: the scope of financial operation and the meaning of the variables time, capital and interest; The importance of the time value of money; The difference between nominal / effective and proportional / equivalent rates. CP2. and CP3. Objectives - Understand the 3 capitalization schemes (general formula of capitalization and periodic and total interest). CP4.Objetivos - Understand the importance of the golden rule of financial calculation. CP5.Objectives - Understand when a set of capitals can be considered rents, calculate the current and accumulated value of a rent ; To classify rents CP6. Objectives - To understand the concepts of provision, amortization of capital, interest, grace period and deferral, to prepare amortization tables in the French,Constant amortization and American system.
Teaching Methodologies (Including Evaluation):
Expositive methodology accompanied by practical examples of application of theoretical concepts. Resolution of a broad set of exercises for the consolidation of the contents addressed.
Continuous evaluation consisting of two tests: Test 1 - evaluation of PC1, PC2, PC3 and PC4 (with a weight of 60%) and Test 2 - evaluation of PC5 and PC6 (with a weight of 40%). Minimum score of 6 integer values in the 1st test to go to the second test. If the grade of the 1st test is less than 6 points, the student will have to take the UC in Exam of Final Semester.
Demonstration of the Coherence between the Teaching Methodologies and the Learning Outcomes:
Given the essentially practical nature of that course all exposed concepts are applied to the resource to solve a number of exercises. This methodology allows to achieve the specific goals listed in each chapter of the that course program.
Reading:
[1] Cadilhe, M. (1994). Matemática financeira aplicada .3ª edição. Porto : Edições Asa.
[CDU 330.1(075); 330.4(075); 51(075) ]
[2] Canadas, I. (1998) A matemática do financiamento e das aplicações de capital. Lisboa : Plátano. [CDU 519.86:330.1 51:33 ]
[3] Laureano, R. e Santos, L. (2011). Fundamentos do Cálculo Financeiro. Edições Silabo.
[4] Matias, F.; Martins, A.; Monteiro, C.; Correia, T. (2020). Matemática financeira. Teoria e Prática. 1º Edição. Edições Sílabo.
[5] Matias, Rogério. Cálculo Financeiro. Teoria e Prática. (2018) 6ª Edição. Escolar Editora.
[CDU 657.41/.45 - ed. 2008]
[6] Nicolau, I. e Rodrigues, J.A. (2010). Elementos de Cálculo Financeiro. 9ª Edição. Áreas Editora.
[CDU 657.41/.45 - 3ª edição]
[7] Quelhas, A.P. (2021). Manual de Matemática Financeira. 4ª Edição. Almedina.
[8] Sobrinho, J.D.V. (2018). Matemática Financeira. 8ª Edição. Atlas.
Lecturer (* Responsible):
Fátima Rocha (frocha@ufp.edu.pt)
Sandra Bernardo (sbern@ufp.edu.pt)