XAMAE Mathematical Applications in Economics

Moravian Business College Olomouc
winter 2024

The course is not taught in winter 2024

Extent and Intensity
0/0. 3 credit(s). Type of Completion: zk (examination).
Teacher(s)
doc. RNDr. Martina Pavlačková, Ph.D. (seminar tutor)
Guaranteed by
doc. RNDr. Martina Pavlačková, Ph.D.
Course Enrolment Limitations
The course is offered to students of any study field.
Course objectives
The aim of the course is to provide students with exact tools for applying mathematics in financial field, all of which can be immediately used in the field of economy and management. The course also focuses on software tools that can be used with these applications. Having completed the course, students are able to: explain the basics of financial mathematics and various principles of determining interest rates, using these principles in basic case studies from the field of financial mathematics, and apply the gained knowledge to other issues in finance and banking. The course also focuses on the analysis of individual options to ensure correct financial decision-making.
Syllabus
  • 1. Time Series and their application
  • 2. Indices
  • 3. Basic terms in financial mathematics
  • 4. Sequences
  • 5. Simple interest and its application
  • 6. Compound interest
  • 7. Investment decision-making
  • 8. Savings
  • 9. Pensions
  • 10. Loan repayment
  • 11. Bonds and shares
  • 12. Using Wolfram Alpha in mathematical applications
Literature
    required literature
  • FUNIOKOVÁ, T. Introduction to Financial Mathematics. 1st ed. Ostrava: VŠB-TU Ostrava, 2017. info
  • ABELL, M. L. and P. BRASELTON. Mathematica by Example. 5th ed. Amsterdam: Academic Press, 2017, 574 pp. ISBN 978-0-12-374318-3. info
  • PETTERS, A. O. and X. DONG. An Introduction to Mathematical Finance with Applications: Understanding and Building Financial Intuition. 1st ed. Switzerland: Springer, 2016, 483 pp. ISBN 978-1-4939-3781-3. info
  • KOČENDA, E. and A. ČERNÝ. Elements of Time Series Econometrics: An Applied Approach. 3rd ed. Prague: Charles University in Prague, Karolinum Press, 2015, 220 pp. ISBN 978-80-246-3199-8. info
  • BUCHANAN, J.R. An Undergraduate Introduction to Financial Mathematics. 3rd ed. Hackensack, NJ: World Scientific Pub., 2012, 464 pp. ISBN 978-981-4407-44-1. info
  • ADAMEC, V. Applied Statistics. 1st ed. Brno: Mendelova univerzita, 2010, 119 pp. ISBN 978-80-7375-455-6. info
    recommended literature
  • STÁDNÍK, B. Financial Engineering of Bonds. 1st ed. Prague: Oeconomica, 2016, 153 pp. ISBN 978-80-245-2179-4. info
  • ZELINKA, J. and M. ŘEZÁČ. (ed.). Workshop Financial Mathematics in Practice II: Book of Short Papers : Svratka, September 11-13, 2012. 1st ed. Brno: Masaryk University, 2013, 94 pp. ISBN 978-80-210-6176-7. info
  • ADAMS, A. T. Investment Mathematics. 1st ed. Hoboken, NJ: J. Wiley, 2002, 350 pp. ISBN 978-0-471-99882-2. info
Assessment methods
Course credit: active participation in the practical seminars + seminar tests. Examination: written examination (60% of the overall assessment), oral examination (40% of the overall assessment).
Language of instruction
English
Further Comments
The course is taught annually.
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