Course guide of Introduction to Financial Operations (2261114)

They are not required.

• Basic concepts: financial capital and operation.
• Classic financial theorems.
• Short-term operations.
• Annuity Theory.
• Constitution and amortization: dynamics and effective interest rate.

The objective of this program is to provide the student with an overview of the basic concepts of Financial Mathematics.

More specifically, the student:

• will understand the simple financial theorem and will applicate it to short-term operations.
• will understand the compound and continuous financial theorems.
• will know how to identify and value an annuity.
• will understand the concepts of loan and obligation and calculate the magnitudes related to them.

Unit 1. Basic concepts.

1. Financial Capital.
2. Financial Theorem. Properties.
3. Financial Operation.
4. Mathematical reserve or financial balance.
5. Commercial characteristics, effective interest rate and APR.
6. How interest rates are formed. The EURIBOR.

Unit 2. Simple interest.

1. Simple capitalization with due interest rate.
2. Simple discount with due interest rate or Rational Discount.
3. Simple discount with prepaid interest rate or Commercial Discount.
4. Change in units of measure: equivalent rates.
5. Substitution of capital: common maturity and average maturity.
6. Annex I: Simple capitalization with prepaid interest rate.
7. Annex II: Comparison of the different theorems.

Unit 3. Short-term operations.

1. Discount of bills of exchange.
2. Settlement of current savings accounts.
3. Settlement of current credit accounts.
4. Market operations:
   1. Spot purchase-sale.
   2. Forward purchase-sale.
   3. Operations with repurchase agreement (REPO).

Unit 4. Compound and continuous theorems.

1. Compound capitalization with due interest rate.
2. Compound discount with due interest rate.
3. Change in units of measure: equivalent rates.
4. Effective and nominal interest rate.
5. Continuous capitalization and discount.
6. Application of compound and continuous theorems.
7. Annex I: Compound capitalization and discount with prepaid interest rate.
8. Annex II: Comparison between the different theorems.

Unit 5. Valuation of annuities.

1. What is an annuity? Types of annuities.
2. Value of an annuity: present and future values.
3. Constant progressions: ordinary and perpetuity.
4. Geometric progressions: ordinary and perpetuity.
5. Arithmetic progressions: ordinary and perpetuity.
6. Fractional progressions.
7. Examples. Constitution of a capital through an annuity.

Unit 6. Loans.

1. What is a loan?
2. Evolution of a loan.
3. Amortization systems.

   1. Periodic payment of interest.

   2. French system.

   3. Constant repayment amortization.

4. Floating interest rate loans.
5. Grace period and cancellation in a loan.
6. Commercial characteristics: Effective interest rate and TAE.
7. Amortized Cost.
8. Annex I: Amortization with Geometric or Arithmetic payments.
9. Annex II: Sinking Fund and German System.

The theory program is complemented by the practical program.

CAPINSKI, M., & ZASTAWNIAK, T. (2003). Mathematics for finance: an introduction to financial engineering (1st ed. 2003). Springer London. https://doi.org/10.1007/b97511

FRÍAS-ACEITUNO, J.V. (2024). Introducción Operaciones Financieras. Editorial: Técnica Avicam.

LOVELOCK. D., MENDEL, M. & WRIGHT, A.L. (2007). An Introduction of he Mathematics of Money. Saving and Investing (1st ed. 2000). Springer New York. ISBN: 978-0387-34432-4.

PETTERS, A. O., & DONG, X. (2016). An Introduction to Mathematical Finance with Applications: Understanding and Building Financial Intuition (1st ed. 2016). Springer New York. https://doi.org/10.1007/978-1-4939-3783-7

POLLARD, A. H. (1977). An introduction to the mathematics of finance (Second edition). Pergamon Press.

ALEGRE ESCOLANO, P. y otros. (1989): Ejercicios resueltos de matemática de las operaciones financieras. Ediciones AC.

ALEGRE ESCOLANO, P. y otros. (1997): Curso interactivo de matemática financiera. Editorial McGrawHill.

BONILLA, M.; IVARS, A.; MOYA, I. (2006): Matemática de las Operaciones Financieras: teoría y práctica. Editorial Thomson.

DE PABLO, A. (1994): Unidades didácticas de matemáticas de las operaciones financieras. UNED.

GARCÍA BOZA, J. (2002): Problemas resueltos de matemática de las operaciones financieras, Ed. Pirámide, Madrid.

GARCÍA BOZA, JUAN (2011). Matemáticas Financieras. Editorial: Pirámide.

GIL PELAEZ, L. (1987): Matemática de las operaciones financieras. Editorial AC.

GIL PELAEZ, L. (1987): Matemática de las operaciones financieras: problemas resueltos. Editorial AC.

GONZÁLEZ CATALÁ, V. (1992): Análisis de las Operaciones Financieras, Bancarias y Bursátiles. Ciencias Sociales, Madrid.

GONZÁLEZ CATALÁ, V. (1999): Operaciones Financieras, Bancarias y Bursátiles. Curso práctico. Ciencias Sociales, Madrid.

MENEU, V.M.; JORDÁ, M.P.; BARREIRA, M.T. (1994): Operaciones Financieras en el Mercado Español. Editorial Ariel Economía.

RODRIGUEZ RODRÍGUEZ, A. (1984): Matemática de la financiación. Romagraf. S.A.

TOVAR JIMENÉZ, JOSÉ (2ªedición): Operaciones Financieras (Teoría y Problemas Resueltos). Editorial CEF.

• European Central Bank
• Tesoro público
• Banco de España
• Financial Times
• Invertia. El Español

• MD01. Docencia presencial en el aula 
• MD02. Estudio individualizado del alumno, búsqueda, consulta y tratamiento de información, resolución de problemas y casos prácticos, y realización de trabajos y exposiciones. 
• MD03. Tutorías individuales y/o colectivas y evaluación  

The preferred system will be the continuous assessment system. However, a single final assessment could be applied when students cannot comply with the continuous evaluation method for working reasons, health status, disability, mobility programs or any other justified cause. The student may request the single final assessment in accordance with the Student Assessment and Grading Regulations (art. 8).

The continuous assessment system is based on:

• A mid-term exam that will suppose a 40% of the final grade for the subject (UNITS 1 - 4). This exam will consist of two parts: theory and theoretical-practical, each of them will have a maximum score of 10 points. Theory will be weighted at 30% (1.2 points), and theoretical-practical part, at 70% (2.8 points). It is necessary to obtain at least a minimum of 3.5 points out of 10 points in each of these parts (0.42 points and 0.98 points respectively). Otherwise, the grade will be "Not Passed", and the student will have to take an exam of this part of the subject in the ordinary call (on the date set by the Center). Likewise, the student will be able to repeat the mid-term exam (UNITS 1 - 4) on the day fixed for the ordinary call (final exam), renouncing the previous grade. The theoretical part will consist of a series of multiple-choice questions with a single correct answer. Wrong answers score negatively (the penalty will be notified to the student), unanswered questions do not add or subtract. The theoretical-practical part will consist of solving exercises.
• A final exam to be taken on the official date set by the Center (ordinary call), which will suppose a 60% of the final grade for the subject (UNITS 5 and 6). It will consist of two parts: theory and theoretical-practical, each of them will have a maximum score of 10 points. Theory will be weighted at 30% (1.8 points), and theoretical-practical part, at 70% (4.2 points). It is necessary to obtain at least a minimum of 3.5 points out of 10 points in each of the exam parts (0.63 points and 1.47 points respectively), in order to be able to add the marks obtained in the final exam to those previously obtained in the partial exam considered as passed (with a minimum mark of 3.5 out of 10 points in each of the component parts). When this last requirement is not met, the overall exam grade and, therefore, the final grade of the subject will be the sum of the marks obtained in the mid-term and final tests, with a maximum of 3 points. The student who does not appear for this final exam will have the qualification of "Not presented". On the day established by the Centre for the ordinary exams, firstly, all students who sit the exam will be examined on the contents corresponding to units 5 and 6. Subsequently, those students who have not passed the mid-term exam or choose to sit the mid-term exam again -renouncing the mark obtained in the previous mid-term exam- will be examined on the contents corresponding to the first four units. The theoretical part will consist of a series of multiple-choice questions with a single correct answer. Wrong answers score negatively (the penalty will be notified to the student), unanswered questions do not add or subtract. The theoretical-practical part will consist of solving exercises.

In the extraordinary call, the assessment will be carried out entirely through an extraordinary exam (UNITS 1 - 6), out of a total score of 10 points, even if during the development of the subject the continuous assessment system had been chosen.

As in the ordinary call, this exam will consist of two parts: theory and practice, which will be weighted at 30% and 70% respectively (theory 3 points and practice 7 points). To pass the subject, the student must obtain a minimum of 3.5 points out of 10 points in each of these parts (theory -1.05 points- and practice -2.45 points-). When this last requirement is not met, the overall exam grade and, therefore, the final grade of the subject will be the sum of the marks obtained with a maximum of 3 points. Likewise, the total score must be 5 points out of 10 to pass the subject. The student who does not take this final exam will have the grade of "Not presented".

The theoretical part will consist of a series of multiple-choice questions with a single correct answer. Wrong answers score negatively (the penalty will be notified to the student), unanswered questions do not add or subtract. The practice will consist of solving exercises.

Being an extraordinary call, the previous qualifications obtained in the continuous assessment system or final single assessment will not be considered.

In the single final assessment, the evaluation will be carried out entirely through an extraordinary exam (UNITS 1 - 6), out of a total score of 10 points.

As in the ordinary call, this exam will consist of two parts: theory and practice, which will be weighted at 30% and 70% respectively (theory 3 points and practice 7 points). To pass the subject, the student must obtain a minimum of 3.5 points out of 10 points in each of these parts (theory -1.05 points- and practice -2.45 points-). When this last requirement is not met, the overall exam grade and, therefore, the final grade of the subject will be the sum of the marks obtained with a maximum of 3 points. Likewise, the total score must be 5 points out of 10 to pass the subject. The student who does not take this final exam will have the grade of "Not presented".

The theoretical part will consist of a series of multiple-choice questions with a single correct answer. Wrong answers score negatively (the penalty will be notified to the student), unanswered questions do not add or subtract. The practice will consist of solving exercises.

Students must necessarily be provided with the respective D.N.I., driver's license or official passport to take any of the programmed exams.

INCLUSION and DIVERSITY. In the case of students with disabilities or other specific educational support needs (NEAE), the tutoring system will be adapted to these needs, in accordance with the recommendations of the area with powers in inclusion of the University of Granada, being the departments and centers the responsible for establishing appropriate measures so that tutoring takes place in accessible places. Likewise, at the request of the teaching staff, support may be requested from the competent unit of the UGR when special methodological adaptations are involved.

Información de interés para estudiantado con discapacidad y/o Necesidades Específicas de Apoyo Educativo (NEAE): Gestión de servicios y apoyos (https://ve.ugr.es/servicios/atencion-social/estudiantes-con-discapacidad).