ECTS credits ECTS credits: 6
ECTS Hours Rules/Memories Student's work ECTS: 99 Hours of tutorials: 3 Expository Class: 24 Interactive Classroom: 24 Total: 150
Use languages Spanish, Galician
Type: Ordinary Degree Subject RD 1393/2007 - 822/2021
Departments: Financial Economics and Accounting
Areas: Financial Economics and Accounting
Center Faculty of Economics and Business Studies
Call: First Semester
Teaching: With teaching
Enrolment: Enrollable
The objective of the course is to provide the student with the basic concepts and principles of financial mathematics and to relate them to the study and financial analysis of the different products and operations that currently exist in the financial market. After studying this subject, the student should be able to:
• Manage the financial laws conventionally used in financial operations.
• Know and value the main financial operations that take place in the short and long term.
• Value the different financial incomes.
• Understand and interpret the parameters of a loan.
• Make loan amortization tables according to different amortization systems.
• Understand the operations of the main capital formation operations.
• Know, from a mathematical and financial perspective, the concepts of NPV and IRR.
• Express financial problems by handling specific vocabulary appropriately.
PART 1. FUNDAMENTALS OF FINANCIAL MATHEMATICS
1.1. INTRODUCTION.
1.2. FINANCIAL CAPITAL: POSTULATES.
1.3. FINANCIAL OPERATION.
1.4. EQUIVALENT CAPITALS. OPERATIONS AND CAPITALIZATION AND DISCOUNT LAWS.
1.5. EQUIVALENTS RATES.
1.6. CAPITAL UNIFICATION: FINANCIAL SUM. COMMON EXPIRATION AND AVERAGE EXPIRATION.
1.7. FINANCIAL EQUIVALENCE.
1.8. FINANCIAL RESERVATION OF AN OPERATION.
1.9. EXERCISES AND PRACTICAL APPLICATIONS.
PART 2. FINANCIAL VALUATION OF THE RENTS.
2.1. INTRODUCTION
2.2. DEFINITION AND ELEMENTS OF AN INCOME.
2.3. RENTAL CLASSIFICATION.
2.4. VALUATION OF INCOME.
2.4.1. ASSESSMENT OF CONSTANT INCOME.
2.4.2. VALUATION OF VARIABLE INCOME IN GEOMETRIC AND ARITHMETIC PROGRESSION.
2.4.3. VALUATION OF OTHER INCOME: NPV AND IRR.
2.4.4. EXERCISES AND PRACTICAL APPLICATIONS.
PART 3. AMORTIZATION OF LOANS
3.1. INTRODUCTION.
3.2. GENERAL DEVELOPMENT OF THE LOAN.
3.3. MODALITIES OF LOAN AMORTIZATION.
3.4. LOANS WITH A GRACE PERIOD.
3.5. EXERCISES AND PRACTICAL APPLICATIONS
Basic and complementary Bibliography
APARICIO ROZAS, A., IBARRA ALFARAZ, J.A., MONROBEL ALCANTARA, J.R. (2017): Cálculo financiero. Teoría y ejercicios, 3ª edición revisada. Ediciones Paraninfo S.A.
BAQUERO, M.J., MAESTRO, M.L. (2003): Problemas resueltos de matemática de las operaciones financieras, Thomson.
BROWN, R.L., KOPP, S. e ZIMA, P. (2011): Mathematics of Finance, 7th Edición, McGraw-Hill.
FEDERER VAALER, l.J. e DANIEL, J.W. (2009): Mathematical Interest Theory, Mathematical Association of America, 2ª edición
GONZÁLEZ VELASCO, Mª del Carmen (2001): Análisis de las operaciones financieras: 150 supuestos resueltos, Civitas.
DE LA FUENTE SANCHEZ, D., HERNÁNDEZ SOLÍS, M. (2015): Ejercicios de Matemática Financiera, Editorial Universitaria Ramón Areces.
LÓPEZ CORRALES, F., MAREQUE ÁLVAREZ-SANTULLANO, M., ANIDO CRESPO, M. (2018) Matemáticas financieras básicas, 2ª edición, Garceta Grupo editorial.
MINER ARANZÁBAL, J. (2003): Curso de Matemática Financiera, McGraw-Hill.
NAVARRO ARRIBAS, E. (2019): Matemáticas de las operaciones financieras. Pirámide.
NAVARRO, E. e NAVE, J.M. (2001): Fundamentos de matemáticas financieras, Antoni Bosch.
SUÁREZ, J.L. (2001): Análisis de las operaciones financieras, Civitas.
TOVAR JIMÉNEZ, J. (2020): Operaciones financieras. Teoría y problemas resueltos, Centro de Estudios Financieros, Madrid.
VILLALOBOS, J. L. (2001): Matemáticas financieras, 2ª edición, Prentice Hall.
XIMÉNEZ RODRÍGUEZ, S.; FERNÁNDEZ LÓPEZ, S. y otros (2000): Análisis y cálculo de las operaciones financieras, Tórculo, Santiago.
Check availability of the bibliography in the BUSC catalog:
http://iacobus.usc.es/search*gag/r?SEARCH=An%C3%A1lise+das+Operaci%C3%B…
Basic and General
CB1 - That the students have demonstrated to possess and understand knowledge in a study area that starts from the general secondary education, and is usually found at a level that, although supported by advanced textbooks, also includes some aspects that involve knowledge from the forefront of their field of study.
CB2 - That students know how to apply their knowledge to their work or vocation in a professional way and possess the competencies that are usually demonstrated through the elaboration and defense of arguments and the resolution of problems within their area of study.
CB3 - That students have the ability to collect and interpret relevant data (usually within their area of study) to make judgments that include reflection on relevant social, scientific or ethical issues
CB4 - That students can transmit information, ideas, problems and solutions to a specialized and non-specialized audience.
CB5 - That students have developed those learning skills necessary to undertake further studies with a high degree of autonomy.
CG1 - Possess and understand the knowledge that defines Business Administration and Management as a scientific discipline, including its theories, history, methods, techniques and areas of application, at a level that is supported by the most advanced publications and includes some of the most relevant aspects that are at the forefront of knowledge in this field.
CG2 - Know how to develop and defend arguments on economic issues at a general level, as well as solve problems on these issues, making use of their knowledge of business reality, theories, models and their own scientific methods.
CG4 - Know how to communicate information, ideas, problems and proposed solutions to business issues to both a specialized and non-specialized audience, using both verbal and written language and the means and techniques of representing relationships and presenting data that they are used in discipline.
CG5 - Possess the general knowledge and learning skills necessary to continue studying and to undertake specialized studies in the various areas of the company and in other related areas, with a high degree of autonomy.
Transversal
CT1 - -Analysis and synthesis.
CT6 - -Troubleshooting.
CT7 - -Make decisions.
CT8 - -Critical reasoning.
CT9 - -Autonomy in learning.
CT10 - -Teamwork.
CT18 - -Initiative and entrepreneurial spirit.
CT21 - -Project management
Specific
C1 - Basic elements of linear algebra, differential and integral calculus, mathematical optimization and mathematics of financial operations.
C3 - Basic elements of mathematics of financial operations.
D6 - Identify the sources of relevant economic information and its content.
D8 - Derive from the data relevant information impossible to recognize by non-professionals.
D10 - Apply to the analysis of problems professional criteria based on the management of technical instruments.
D11 - Communicate fluently in their environment and work as a team.
As this is the first finance subject studied in the degree, Financial Operations Analysis introduces the student to the theoretical-practical management of financial concepts and it is especially important that they perceive the applicability of its contents. In particular, in the short and medium term, the subject must provide students with the necessary knowledge to study subjects related to the financial field in subsequent years and, in the long term, it must provide future professionals with the tools and knowledge necessary to financial decision-making, both for companies and for other institutions, and even for domestic economies.
Therefore, the sessions dedicated to the expository classes are intended to introduce and explain the basic aspects of each topic contained in the program, providing the necessary additional information that allows the proper development of the autonomous learning process.
Practice is key to achieving the established medium and long-term objectives. This will consist on the resolution of exercises and cases, and the hours of autonomous work of the student, which are aimed at confronting the student with decision-making.
Expository sessions will take place in the assigned classroom and the practical sessions can be both in the regular classroom and in the computer rooms using Excel. The tutorials will be mainly face-to-face.
To properly assess the competencies that students are expected to acquire, two main evaluation tools are used: the results of a final theoretical-practical exam and continuous assessment of the student's work. This includes their active participation in scheduled activities and completion of all assignments, case studies, quizzes, etc., throughout the course. Therefore, the assessment system consists of two components:
Final Theoretical-Practical Exam covering the topics included in the course syllabus, accounting for 70% of the final grade. The exam includes a section with theoretical-practical multiple-choice questions and one or more practical exercises. A minimum score of 3.5 out of 7 on this exam is required to pass the course.
Continuous Assessment, which represents 30% of the final grade. The activities assessed include active participation in class (5%), completion of assigned exercises related to the course content (5%), and assessment tests (20%).
Any student may take the final exam, regardless of whether they have completed the activities involved in the continuous assessment. If the student chooses not to participate in continuous assessment tasks, their grade will be based solely on the final exam, which will count for 70% of the final grade.
The assessment system is the same for all students, whether or not they are repeating the course, and regardless of the examination session. Exemption from attendance is regulated by the Regulations on class attendance for official undergraduate and master's degree programs. Students officially exempt from attendance will take the final exam on the official date, and their grade will be based on 100% of the exam.
In cases of academic dishonesty in exercises or tests, the provisions of the “Academic Performance Assessment and Grade Review Regulations” will apply.
The competencies assessed are as follows:
Via final exam: CB1, CB2, CB3, CB4, CB5, CG1, CG2, CG4, CG5, C1, C3, D6, D8, D10, D11
Via continuous assessment: CB1, CB2, CB3, CB4, CB5, CT1, CT6, CT7, CT8, CT9, CT10, CT18, CT21
The list of assessable activities throughout the course, their weighting, and monitoring procedures will be detailed in the course syllabus, which will be published in the virtual classroom at the beginning of the semester. The continuous assessment activities, their respective weights, and monitoring procedures will be clearly indicated in the syllabus available in the subject's virtual classroom.
Contact hours: 48
Group tutoring: 3
Non-contact hours:
Individual or group autonomous study: 45
Preparation of practices: reading of cases, texts and articles, writing of conclusions and works: 34
Recommended reading, library activities or similar: 10
Preparation of oral presentations, debates or similar: 10
Total volume of work: 150 hours
Students should have a basic understanding of mathematics, such as solving systems of equations with two variables and working with logarithms, limits, and sequences. Additionally, proficiency in using spreadsheets would enable students to quickly solve many of the exercises covered in class.
Maria Celia Lopez Penabad
Coordinador/a- Department
- Financial Economics and Accounting
- Area
- Financial Economics and Accounting
- Phone
- 881811626
- celia.lopez [at] usc.es
- Category
- Professor: University Lecturer
Valentin Vittori Romero
- Department
- Financial Economics and Accounting
- Area
- Financial Economics and Accounting
- valentin.vittori.romero [at] usc.es
- Category
- Professor: Temporary supply professor to reduce teaching hours
Maria Luz Garrido Gonzalez
- Department
- Financial Economics and Accounting
- Area
- Financial Economics and Accounting
- luz.garrido [at] usc.es
- Category
- Professor: Temporary supply professor to reduce teaching hours
| Monday | |||
|---|---|---|---|
| 12:30-13:30 | Grupo /CLE_02 | Galician | Classroom 08 |
| 17:00-18:30 | Grupo /CLE_03 | Spanish | Classroom 07 |
| Tuesday | |||
| 12:30-13:30 | Grupo /CLE_01 | Spanish | Classroom 07 |
| Wednesday | |||
| 09:30-11:00 | Grupo /CLE_02 | Galician | Classroom 08 |
| 18:00-19:00 | Grupo /CLE_03 | Spanish | Classroom 07 |
| Thursday | |||
| 11:00-12:30 | Grupo /CLE_01 | Spanish | Classroom 07 |
| 01.22.2026 12:00-15:00 | Grupo /CLE_03 | Classroom A |
| 01.22.2026 12:00-15:00 | Grupo /CLIS_3a | Classroom A |
| 01.22.2026 12:00-15:00 | Grupo /CLIS_2 | Classroom A |
| 01.22.2026 12:00-15:00 | Grupo /CLIS_5 | Classroom A |
| 01.22.2026 12:00-15:00 | Grupo /CLIS_1a | Classroom A |
| 01.22.2026 12:00-15:00 | Grupo /CLIS_3b | Classroom A |
| 01.22.2026 12:00-15:00 | Grupo /CLIS_4a | Classroom A |
| 01.22.2026 12:00-15:00 | Grupo /CLE_02 | Classroom A |
| 01.22.2026 12:00-15:00 | Grupo /CLE_01 | Classroom A |
| 01.22.2026 12:00-15:00 | Grupo /CLIS_1b | Classroom A |
| 01.22.2026 12:00-15:00 | Grupo /CLIS_4b | Classroom A |
| 01.22.2026 12:00-15:00 | Grupo /CLIS_1a | Classroom B |
| 01.22.2026 12:00-15:00 | Grupo /CLIS_3b | Classroom B |
| 01.22.2026 12:00-15:00 | Grupo /CLIS_4a | Classroom B |
| 01.22.2026 12:00-15:00 | Grupo /CLE_02 | Classroom B |
| 01.22.2026 12:00-15:00 | Grupo /CLIS_1b | Classroom B |
| 01.22.2026 12:00-15:00 | Grupo /CLIS_4b | Classroom B |
| 01.22.2026 12:00-15:00 | Grupo /CLE_03 | Classroom B |
| 01.22.2026 12:00-15:00 | Grupo /CLIS_3a | Classroom B |
| 01.22.2026 12:00-15:00 | Grupo /CLIS_2 | Classroom B |
| 01.22.2026 12:00-15:00 | Grupo /CLIS_5 | Classroom B |
| 01.22.2026 12:00-15:00 | Grupo /CLE_01 | Classroom B |
| 06.15.2026 09:00-12:00 | Grupo /CLIS_1b | Classroom A |
| 06.15.2026 09:00-12:00 | Grupo /CLIS_4b | Classroom A |
| 06.15.2026 09:00-12:00 | Grupo /CLE_01 | Classroom A |
| 06.15.2026 09:00-12:00 | Grupo /CLE_03 | Classroom A |
| 06.15.2026 09:00-12:00 | Grupo /CLIS_3a | Classroom A |
| 06.15.2026 09:00-12:00 | Grupo /CLIS_2 | Classroom A |
| 06.15.2026 09:00-12:00 | Grupo /CLIS_5 | Classroom A |
| 06.15.2026 09:00-12:00 | Grupo /CLIS_1a | Classroom A |
| 06.15.2026 09:00-12:00 | Grupo /CLIS_3b | Classroom A |
| 06.15.2026 09:00-12:00 | Grupo /CLIS_4a | Classroom A |
| 06.15.2026 09:00-12:00 | Grupo /CLE_02 | Classroom A |
| 06.15.2026 09:00-12:00 | Grupo /CLE_03 | Classroom B |
| 06.15.2026 09:00-12:00 | Grupo /CLIS_3a | Classroom B |
| 06.15.2026 09:00-12:00 | Grupo /CLIS_2 | Classroom B |
| 06.15.2026 09:00-12:00 | Grupo /CLIS_5 | Classroom B |
| 06.15.2026 09:00-12:00 | Grupo /CLIS_1a | Classroom B |
| 06.15.2026 09:00-12:00 | Grupo /CLIS_3b | Classroom B |
| 06.15.2026 09:00-12:00 | Grupo /CLIS_4a | Classroom B |
| 06.15.2026 09:00-12:00 | Grupo /CLE_02 | Classroom B |
| 06.15.2026 09:00-12:00 | Grupo /CLE_01 | Classroom B |
| 06.15.2026 09:00-12:00 | Grupo /CLIS_1b | Classroom B |
| 06.15.2026 09:00-12:00 | Grupo /CLIS_4b | Classroom B |