Work must be done on the subject every day, reading notes before the corresponding classes and doing the exercices as they are set.
Work at home: at least 6 hours a week.

The course as part of the academic plan (max. 4000 characters)

Once the concepts introduced in the Business Mathematics subject have been mastered, the subject Mathematics for Financial Operations focuses on the financial aspects of business. It facilitates the in-depth study of these aspects through the mathematical justification of instruments that students will have already applied in subjects like Financial Accounting of Basics of Business Finance.
It is essential that students should work rigorously in the subject, and this is particularly necessary if they want to aim the optional side of the las year of BAM towards majoring in Accounting and Finance.

Registration Requisites

Pre-requisites

Co-requisites

Teaching staff

Name

E-mail

Visiting hours

Teoric credits

Practic credits

Xavier Ezcurra

xezcurra@matematica.udl.cat

Miércoles de 17:30h a 19h

9

Silvia Miquel Fernandez

smiquel@matematica.udl.cat

Miércoles de 12h a 14h y de 18h a 20h

15

Luís Miguel Plà Aragonés

lmpla@matematica.udl.cat

Jueves de 9h a 11h y de 17h a 19h

3

Germán Arbiol Oliver

arbol@matematica.udl.cat

Miércoles de 11h a 13h y jueves de 17h a 18h

6

Competences

University of Lleida strategic competences

Master Information and Communication Technologies.

Goals

Use the correct financial functions available in a spreadsheet

Find online information about current operations in the market at all times

Correctness in oral and written language.

Goals

To explain the approach and solution to a problem and the interpretation of the result.

To use mathematical language properly, in both approaching and solving problems.

Degree-specific competences

Apply instrumental techniques to the analysis and solution of business problems and to the taking of decisions.

Goals

To identify the financial system applied to a financial operation depending on the agreements made between the subjects of the operation.

To calculate the actual (final) value of any revenue.

Calculate the initial amount in an operation off

To calculate equivalent interest payments (discounts).

Plotted the financial factors of the different financial regimes

Calculate the nominal price in continuous capitalization of a financial transaction

Select the correct size that compares different financial transactions

To identify the most favourable financial operation for the active (passive) party in an operation.

quantifying the effect of inflation in an operation

distinguishes the different types of income

To deduce the expression of the adjustment factor for any revenue.

Calculate the present value of anticipated income, deferred and / or perpetual

Determines the convergence of a sequence

Determines the monotony of a succession

Calculates the sum of terms of an arithmetic sequence and a geometric sequence

Solve equations and systems of equations and logarithmic / exponential or

Intervene in operations belonging to financial entities and markets.

Goals

Calculate the cost of a loan

Represents graphically the evolution of debt over time

Calculate the value of a loan at a certain moment of his life

Identifies different types of loans

Analyze loans from the standpoint of the issuer (the estimated cost to the issuer) and from the standpoint of the debenture (calculates your return)

Select the most appropriate loan transaction subject to the operation

Degree-transversal competences

Ability to analyse and synthesise.

Goals

Analyze a problem situation, and select the important elements when you want to make a decision

Ability to criticise and be self-critical.

Goals

Without Translate - Justifica adequadament el plantejament de problemes i mètodes de resolució

To justify decision-making in a particular situation/problem based on mathematical concepts.

Act in accordance with rigour, personal compromise and in a quality orientated way.

Goals

To use mathematical language properly, in both approaching and solving problems.

Without Translate - Justifica el plantejament i resolució d'un problema i la interpretació del resultat

Be able to work and to learn in an autonomous way and simultaneously adequately interact with others, through cooperation and collaboration.

Goals

Without Translate - Detecta errors comesos i proposa la manera de corregir-los

To search for information related to the content of the subject.

Without Translate - Aprèn dels errors que comet tot buscant estratègies alternatives de resolució de problemes

Without Translate - Planteja preguntes en l'àmbit de l'economia i les finances, les quals es poden resoldre mitjançant processos matemàtics

To relate the concepts of the subject to those worked on in other subjects.

Contents

Subject contents

TOPIC 1: Introduction

Exponential and logarithmic functions.

Graphic representation

Solving equations and equation systems.

Arithmetic and geometric progressions.

Definition of arithmetic and geometric progressions.

The sum of the terms of a progression.

Limit of a sequence.

Definition of sequence.

Types of sequence: convergent or divergent, monotonous, waypoint.

Calculating the limit of a sequence.

Polynomial quotient.

The number e.

Topic 2: Financial systems

The financial market.

Liquidity preference.

Financial equivalence.

The financial factor.

Capitalisation and simple discount.

Simple interest financial system.

Commercial discount financial system.

Equivalent interest and discount.

Compound capitalisation and discount.

Compound interest financial system.

Compound discount financial system.

Continuous capitalisation.

Equivalences between interest and discount rates of different frequencies.

Indexed financial systems.

Topic 3: Financial revenue

Financial revenue.

Definition and notation.

Classification.

Valuation.

Adjustment factor under compound interest financial system.

Constant revenue.

Geometric revenue.

Arithmetic revenue.

Fractionated revenue.

Topic 4: Loan operation

Mathematical reserve.

Loan operation.

Definition and notation.

Classification.

Analysis of a loan operation.

Repay mentterm.

Outstanding debt.

Composition of the repayment term.

Repaymenttable.

Types of loan operation.

French loan.

American loan.

German loan.

Variable repayment loan.

Topic 5: Debenture operation

Debenture operation.

Definition and notation.

Classification.

Analysis of a debenture operation.

Securities with equal maturity.

Normal debenture.

Zero coupon debenture.

Periodic repayment debenture.

Securities with different maturity.

Debenture with constant repayments.

Bibliography

Recommended bibliography

Notes, practical assignments, tests, problems and webgraphy

Available on the virtual campus as the academic year goes on.

Basic bibliography

-Bonilla,M., Ivars, A. and Moya, I. (2006) Matemáticas de las operaciones financieras: Teoría y práctica. Thomson.

-Fontanals,H. (1992) Matemática financiera. Supuestos. SU Barcelona.

-Rodríguez,A. (1994) Matemática de la financiación. Ediciones S.

Additional bibliography

-Alegre,P. et al. (1995) Ejercicios resueltos de matemática de las operaciones financieras. AC, Barcelona.

-GilPeláez, L. (1987) Matemática de las operaciones financieras. AC, Madrid.

-GilPeláez, L. (1987) Matemática de las operaciones financieras. Problemas resueltos. AC, Madrid.

-Miner,J. (2003) Curso de matemática financiera. McGraw Hill.

-Navarro,E. and Nave, J.M. (2001) Fundamentos de matemáticas financieras. Antoni Bosch Editor.

-PabloLópez, A. (2002) Matemàtica de las operaciones financieras. UNED.

-Pozo,E. and Zúñiga, J. (1994) Análisis y formulación de las operaciones financieras. Esic Editorial.