General information

Subject type: Mandatory

Coordinator: Monica Juliana Oviedo León

Trimester: First term

Credits: 4

Teaching staff: 

Marc Crespo and Puigcerver
Núria Masferrer Llabinés 
Monica Juliana Oviedo León 

Teaching languages

Check the schedules of the different groups to know the language of teaching classes. Although the material can be in any of the three languages.



Basic skills
  • B2_That students know how to apply their knowledge to their job or vocation in a professional way and have the skills that need to be demonstrated through the elaboration and defense of arguments and the resolution of problems within their area of ​​study


  • B5_That students have developed those learning skills necessary to undertake further studies with a high degree of autonomy


Specific skills
  • E3_Analyze and evaluate the information in the financial statements, applying legal criteria or defined by the company, evaluate the economic performance and prepare financial reports that are used for decision making


General competencies
  • G2_Be able to innovate by developing an open attitude to change and be willing to re-evaluate old mental models that limit thinking

Transversal competences
  • T4_Domain the computer tools and their main applications for the ordinary academic and professional activity


This subject is an introduction to the world of financial markets and how to work and interpret them in a methodical way. Throughout the course, the foundations of the mathematical laws that govern the operations of the financial market will be developed, with a high practical content and with references to the current economic moment.
This branch of mathematics will provide the necessary knowledge for the formulation and resolution of the financial phenomena with which the student can find in his personal and professional life, as well as the necessary instruments for the interpretation of the same and facilitate the taking. of decisions.

Learning outcomes

Main mathematical tools applied to financial management and decision making. Differences between simple and compound interest. Analysis of constant and variable income and different types of loans.

Working methodology

Theoretical sessions

MD1. Master class: Expository class sessions based on the teacher's explanation attended by all students enrolled in the subject

Autonomous learning

MD9. Solving exercises and problems: Non-contact activity dedicated to the resolution of practical exercises based on the data provided by the teacher.

MD11. Non-contact tutorials: for which the student will have telematic resources such as e-mail and ESCSET intranet resources.

The teaching process is based on face-to-face theoretical-practical expository classes, and combines masterful teaching, in which the theoretical concepts of financial mathematics are introduced and explanatory examples are developed, with practical teaching, in which students do oriented exercises. to the acquisition and reinforcement of theoretical concepts. This process is complemented by the information provided in the moodle of the subject and with a web page in which the students can find material of theoretical and practical support of the subject.

This subject will be done with computer support.

 The classroom (physical or virtual) is a safe space, free of sexist, racist, homophobic, transphobic and discriminatory attitudes, either towards students or teachers. We trust that together we can create a safe space where we can make mistakes and learn without having to suffer the prejudices of others.



  • The value of money over time
  • Financial transactions and financial capital
  • Time conventions: the time between dates

Topic 1: Simple Capitalization Financial Systems

  • Current value and final value with simple interest
  • Financial equivalence with simple interest
  • Debt reprogramming: common and average maturity

Topic 2: Financial Discount

  • Mathematical or rational discount
  • Simple financial discount scheme: mathematical versus bank discount
  • Most common short-term debt instruments: promissory note and bill of exchange

Topic 3: Compound Capitalization Financial Systems

  • Compound interest regime.
  • Equivalences between compound interest rates: effective interest and APR
  • Current value and final value with compound interest
  • Financial equivalence with compound interest
  • Debt reprogramming: common and average maturity
  • Net present value and internal rate of return

Topic 4: Financial Income

  • Income classification.
  • Valuation of Constant Income.
  • Income Assessment in Arithmetic Progression.
  • Income Valuation in Geometric Progression

Item 5: Loans

  • Concept and magnitudes of a loan.
  • Classification of loans.
  • Loan with single repayment of capital
  • Repayable loans according to the American system.
  • Repayable loans according to the French system.
  • Loan with constant repayment rate

Learning activities

Individual and group practical activities related to all the topics, which consists of carrying out exercises, both written and with computer support.

There are questionnaires or deliverable activities corresponding to each of the topics

Evaluation system

The evaluation consists of the following tests and activities:

Continuous evaluation: Practical activities or individual questionnaires related to all the topics, which consists of carrying out exercises, both written and with computer support. They will be presented throughout the teaching period. Compute 30% of the final grade:

  • Online tests: 20%
  • Participation and activities in the classroom: 10%

Exams : A partial exam with a weight of 15% and a final exam with a weight of 55%, in the second test you must obtain a grade greater than or equal to 4 out of 10 to average the course. The final exam is mandatory the use of computer with Excel.

In order to pass the course, it is required that the weighted sum of the score obtained in the tests and activities be equal to or greater than 5 out of 10.
Summary of the evaluation system:

Participation in activities proposed in the classroom 10%

Individual work and / or group work


Final Exam



In recovery it will only be possible to repeat the final exam that will compute 55%, maintaining the condition of obtaining a minimum mark of 4 out of 10, and will average with the rest of the marks of the evaluation.

An extra activity (maximum 0,5 points in the final mark) may be proposed for students who have obtained a mark higher than 55 in the final exam (4,0%).

A student who has not applied for the first call CANNOT apply for recovery.



LIAL, Margaret; HUNGERFORD, Thomas W .; HOLCOMB, John P. (2011), Mathematics with Applications, 10th Edition, Pearson Higher Education. Chapter 5: Mathematics of Finance.

ZIMA, Petr; BROWN, Robert. L .; and KOPP, Steve (2011). Mathematics of Finance. McGraw-Hill.

MINER Javier. (2010): Financial Mathematics Course, 2nd edition. Mc GrawHill

FRANCO, Jesús Rodríguez; RODRÍGUEZ, Alberto Isaac Pierdant. Financial Mathematics: With applications in Excel. Grupo Editorial Patria, 2015.


DAY, Alastair. Mastering Financial Mathematics in Microsoft Excel: A Practical Guide to Business Calculations. Pearson UK, 2015.

DIAZ MATA, Alfredo and AGUILERA GÓMEZ, Víctor Manuel (2013). Financial Mathematics. Mexico: McGraw Hill. 5th ed.

RODRÍGUEZ, Lydia Rosa Ríos; TORRECILLA, Armando Manuel Boullosa. Financial mathematics. Editorial Universitaria, 2017.