Teaching plan for the course unit

 

 

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General information

 

Course unit name: Financial Mathematics

Course unit code: 363663

Academic year: 2025-2026

Coordinator: Maria Mercedes Galisteo Rodriguez

Department: Department of Economic, Financial and Actuarial Mathematics

Credits: 6

Single program: S

 

 

Estimated learning time

Total number of hours 150

 

Face-to-face and/or online activities

60

(With the exception of the GIE group and the English-language group.)

 

-  Lecture with practical component

Face-to-face

 

50

 

-  IT-based class

Face-to-face

 

10

Supervised project

40

Independent learning

50

 

 

Recommendations

 

  • Class attendance.
  • Active participation in practical sessions in the computer rooms.
  • Regular consultation of the Virtual Campus.

 

 

Competences / Learning outcomes to be gained during study

 

   -

To be able to use ICT in professional practice.

   -

To be able to make financial and business decisions, taking into account the current economic situation.

   -

To use basic quantitative methods and instruments to obtain and analyse company information and its socioeconomic environment, in accordance with the characteristics of the available information.

(Future graduates in Business Administration should be able to understand information from financial markets. They should also know how to analyse the most frequent financial operations in business, particularly those related to business financing issues.)

Learning objectives

 

Referring to knowledge

In the general field of financial operations related to finance, the course objectives include acquiring an understanding of the concepts and specific aspects of:

— financial balance;

— financial price;

— financial analysis.

 

Referring to abilities, skills

General objectives

The subject Mathematical Finance is designed to provide future graduates in Business Administration and Management with the knowledge to:

— Make a quantitative analysis of the financial variables relevant to decision-making.

— Properly identify the alternatives that offer the best solutions to the financial problems of a company.

— Negotiate confidently with (and on behalf of) financial institutions.

Specific objectives

These can be understood as a set of skills and abilities related to the learning process that facilitate the accomplishment of the general objectives described above. With respect to financial operations related to financing, specific course objectives include the ability to:

— Formulate the financial balance of an operation.

— Calculate and interpret the value of the variables that define the operation.

— Calculate the price.

— Calculate the value.

 

 

Teaching blocks

 

1. Fundamental aspects of financial balance

*  Block 1 provides the basic mathematics required for the study of financing transactions.

1.1. Financial transactions. Financial regimes

1.1.1. Financial transactions: definition, elements and classification
1.1.2. Definition and classification of financial regimes
1.1.3. Simple financial regimes
1.1.4. Complex financial regimes
1.1.5. Financial value

1.2. Financial income

1.2.1. Definition and classification
1.2.2. Constant income
1.2.3. Annuities with payments in geometric progression

2. Financial products

*  Block 2 provides an analysis of some financial products in the market, their characteristics and valuation.

2.1. Loans and leasing

2.1.1. Definition and classification
2.1.2. French amortization method of banking loans
2.1.3. Variants of French loan
2.1.4. Leasing

2.2. Fixed income

2.2.1. Definition and classification 
2.2.2. Treasury bills and commercial papers
2.2.3. Bonds and obligations of public and private debt

 

 

Teaching methods and general organization

 

The estimated total number of study hours for the subject breaks down as follows:

a) Face-to-face learning activities provide the basic information required to study all content in the teaching plan, facilitating the accomplishment of the learning objectives, and generic and specific competences established for the subject. The lectures are used to present the theory content of the subject and to work through practical examples requiring students to apply this theory. In addition, four two-hour face-to-face sessions are held in the computer room to develop the capacity to make financial decisions in the context of the markets. Groups are split into two or three subgroups (depending on the number of students enrolled) to carry out this activity. These sessions are used to work and solve real market examples with the corresponding software, as carefully planned by the teaching staff.

b) Hours designated for tutored or directed work are intended for the independent preparation of directed work and tutored projects for the subject.

c) Hours designated for independent learning activities are intended for independent study and work.

Students can access the course material (theory and practice, practical cases to work in the computer room) and the schedule for assessment activities and examinations via the Virtual Campus.

The GIE group follows a specific methodology. There are two hours of face-to-face sessions per week. This is a group that makes intensive use of the Virtual Campus.

The specific methodology and assessed activities for the English-language group are published in the Virtual Campus at the beginning of the course and explained in the first day of class.

 

 

Official assessment of learning outcomes

 

Assessment is intended to show whether or not the objectives and competences of the course have been accomplished.

Continuous assessment

Continuous assessment must take into account learning achieved throughout the course, and thus consists of two examinations and an assignment:

  • An examination covering the two topics of teaching block 1, worth 30% of the final grade. The exam includes both theory and practical questions.
  • An assignment on unit 2 of block 1 and all of block 2, worth 30% of the final grade. This exercise has a practical nature. Students must solve real cases with the corresponding software. This activity takes place in the computer rooms.
  • A written examination covering the contents of block 2, held on the official examination date for the subject. This examination is worth 40% of the final grade and has theoretical and practical questions.


Students in the GIE group must complete two examinations: a written test for block 1 and a written test for block 2, which are worth 40% and 60% of the final grade, respectively. These tests include both theory and practical questions.

The assessment method for the English-language group is posted on the Virtual Campus at the beginning of the course and explained on the first day of class.

The dates of the examinations and prior activities are published at the beginning of the course on the Virtual Campus and explained in class on the first day.

Repeat assessment consists of a written examination covering the entire course content and has questions of a theoretical and practical nature. This exam is worth 100% of the final grade.

Students must obtain a grade of 5 (out of 10) or higher to pass.

 

Examination-based assessment

Students who do not sit the final exam for continuous assessment are entered for single assessment.

Single assessment consists of a written examination covering the entire course content and has theoretical and practical questions. This exam is worth 100% of the final grade.

Repeat assessment takes the same form as the standard single assessment option.

Students must obtain a grade of 5 (out of 10) or higher to pass.

Both the single assessment examination and the repeat assessment examination are held on the official examination date for the subject.

 

 

Reading and study resources

Check availability in Cercabib

Book

BADÍA, C.; BOJ, E.; BOSCH, M.; CASTAÑER, A.; CLARAMUNT, M.M.; COSTA, T.; GALISTEO, M.; GONZÁLEZ-VILA, L.; MÁRMOL, M.; MARTÍNEZ DE ALBÉNIZ, F.J.; MORILLO, I.; ORTÍ, F.J.; PONS, M.A.; PREIXENS, T.; RIBAS, C.; ROCH, O.; SÁEZ, J.B.; SARRASÍ, J.; VAREA, J. El valor temporal del dinero. Curitiba-Paraná: Juruá, 2021

Catāleg UB  Enllaç

BADÍA, C.; BOJ, E.; BOSCH, M.; CASTAÑER, A.; CLARAMUNT, M.M.; COSTA, T.; GALISTEO, M.; GONZÁLEZ-VILA, L.; MÁRMOL, M.; MARTÍNEZ DE ALBÉNIZ, F.J.; MORILLO, I.; ORTÍ, F.J.; PONS, M.A.; PREIXENS, T.; RIBAS, C.; ROCH, O.; SÁEZ, J.B.; SARRASÍ, J.; VAREA, J. Productos financieros: Características y valoración. Curitiba-Paraná: Juruá, 2022

Catāleg UB  Enllaç

BADÍA BATLLE, Carmen. [et al.]. Matemàtica financera. Anàlisi d’operacions de finançament. (Economia UB) Barcelona: Universidad de Barcelona, 2015

Catāleg UB  Enllaç

FONTANALS ALBIOL, Hortènsia; RUIZ i DOTRAS, Elisabet. Risc de tipus d’interès. Barcelona: Edicions de la Universitat Oberta de Catalunya, 2014

Catāleg UB  Enllaç

GARCÍA BOZA, Juan (Coord.). Matemáticas Financieras. Madrid: Ediciones Pirámide, 2011

Catāleg UB  Enllaç

López, F.; Mareque, M.; Anido, M. Matemáticas Financieras Básicas. Madrid: Garceta Grupo Editorial, 2013

Catāleg UB  Enllaç

MARTÍN MARIN, José Luis; TRUJILLO PONCE, Antonio. Manual de mercados financieros. Madrid: Thomson, 2004

Catāleg UB  Enllaç

NAVARRO, Eliseo. Matemática de las Operacions Financieras. Ediciones Pirámide, 2019

Catāleg UB  Enllaç

NAVARRO, Eliseo. Matemática de las Operacions Financieras. Ediciones Pirámide, 2019

Catāleg UB  Enllaç

Web page

AIAF. [en línia]  [Consulta 24 maig 2018]. Disponible a: www.aiaf.es

Pāgina web  Enllaç

Banco de España. [en línia] [Consulta: 24 maig 2018]. Disponible a: www.bde.es

Pāgina web  Enllaç

Bolsas y Mercados Españoles Market Data. [en línia]  [Consulta 24 maig 2018]. Disponible a http://www.bmemarketdata.es/

Pāgina web  Enllaç

Comisión Nacional del Mercado de Valores. [en línia]  [Consulta: 24 maig 2018]. Disponible a: www.cnmv.es

Pāgina web  Enllaç

Tesoro Público. [en línia]  [Consulta 24 maig 2018]. Disponible a: www.tesoro.es

Pāgina web  Enllaç

González-Vila, L.; Ortí, F.; Sáez, J.B. Apuntes de matemática de las operaciones financieras. Dipòsit digital de la Universitat de Barcelona. Disponible a: https://diposit.ub.edu/dspace/handle/2445/143881

 

 

Universitat de Barcelona. Introducció a la Matemàtica Financera. [en línia]  [Consulta 24 maig 2018]. Disponible a: http://www.ub.edu/mf/

Pāgina web  Enllaç