TecnoCampus Foundation
eCampus
University Business
eCampus

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General information

Subject type: Mandatory

Coordinator: Judith Turrión Prats

Trimester: Second term

Credits: 4

Teaching staff: 

Marc Crespo and Puigcerver

Academic year: 2025

Teaching course: 3

Languages ​​of instruction

  • Catalan

Competencies / Learning Outcomes

Basic skills

  • CB2. That students know how to apply their knowledge to their work or vocation in a professional way and possess the skills that are usually demonstrated through the development and defense of arguments and problem solving within their area of study.

  • CB5. That students have developed those learning skills necessary to undertake further studies with a high degree of autonomy.

Specific skills

  • CE3. Analyze and evaluate the financial statements, evaluate the economic performance and prepare financial reports.

General competencies

  • CG2. Be able to innovate by developing an open attitude towards change and be willing to re-evaluate old mental models that limit thinking.

Transversal competences

  • CT4. Master computer tools and their main applications for ordinary academic and professional activity.

Presentation of the subject

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.

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.

Contents

Introduction

  • 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

Activities and 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

20%.

Partial and Final Exam

70%. 

 

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.

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

 

Any form of academic fraud will be sanctioned in accordance with the center's assessment regulations. If signs of fraud are detected, including the improper use of generative artificial intelligence tools, the subject's teaching staff may call the student for an individual interview with the aim of verifying their authorship.

 

Bibliography

Basic

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

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

Complementary

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.

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

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

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