NZ_AMA Applied Mathematics

Institute of Technology and Business in České Budějovice
winter 2024
Extent and Intensity
2/2/0. 5 credit(s). Type of Completion: zk (examination).
Teacher(s)
Ing. Jiří Čejka, Ph.D. (seminar tutor)
doc. RNDr. Zdeněk Dušek, Ph.D. (seminar tutor)
Ing. Tadeáš Říha (seminar tutor)
Guaranteed by
doc. RNDr. Zdeněk Dušek, Ph.D.
Department of Informatics and Natural Sciences – Faculty of Technology – Rector – Institute of Technology and Business in České Budějovice
Supplier department: Department of Informatics and Natural Sciences – Faculty of Technology – Rector – Institute of Technology and Business in České Budějovice
Timetable of Seminar Groups
NZ_AMA/P01: each odd Monday 16:30–18:00 B1, each odd Monday 18:10–19:40 B1, J. Čejka
NZ_AMA/S01: Tue 13:05–14:35 D216, J. Čejka
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
Course objectives supported by learning outcomes
The course introduces students to the basic concepts, principles and numerical operations of financial mathematics and their applications in specific tasks with emphasis on their understanding. The aim of the course is to provide students with exact tools for the application of mathematics in the financial sphere, which are useful in the field of economics. Upon successful completion of this course, students will be able to explain the basics of financial mathematics, the principle of interest and annuity, analyze the time series in solving specific tasks in practice and perform risk analysis, identify risk factors and determine the significance of risk factors.
Learning outcomes
Upon successful completion of the course, the student: Uses sequences in solving mathematical problems. Works with time series, adds and analyzes their convergence. It uses different types of interest with different frequencies. It sets the effective and real interest rate. It calculates the current and future value of the annuity, compiles a debt repayment scheme. Performs sensitivity analysis.
Syllabus
  • Lectures: 1) Necessary basics of mathematics 2) Basic concepts in financial mathematics 3) Time series 4) Trend and seasonal component 5) Forecasts in time series 6) Simple interest 7) Compound interest 8) Nominal and real interest rate 9) Loan 10) Amortization scheme 11) One-dimensional risk analysis 12) Multidimensional risk analysis 13) Creating scenarios Seminars: 1) Necessary basics of mathematics 2) Basic concepts in financial mathematics 3) Time series 4) Trend and seasonal component 5) Forecasts in time series 6) Simple interest 7) Compound interest 8) Nominal and real interest rate 9) Loan 10) Amortization scheme 11) One-dimensional risk analysis 12) Multidimensional risk analysis 13) Creating scenarios
Literature
    required literature
  • CHAN, W. S. a Y. K. TSE, 2018. Financial Mathematics For Actuaries, World Scientific Publishing, Singapore. ISBN-13: 978-9813224674, ISBN- 10: 9813224673.
  • HNILICA, J. a J. FOTR, 2009. Aplikovaná analýza rizika ve finančním managementu a investičním rozhodování. Grada Publishing, Praha. ISBN 978-80-247-2560-4.
  • GERVER R. a R. J. SGROI, 2018. Financial Algebra: Advanced Algebra with Financial Applications, Cengage Learning, Boston. ISBN-13: 978- 1337271790, ISBN-10: 1337271799.
  • ŠOBA, O. a M. ŠIRŮČE, 2017. Finanční matematika v praxi. 2., aktualizované a rozšířené vydání. Praha: Grada Publishing. ISBN 978-80- 9264-9 ePub.
  • ARLT, J. a M. ARLTOVÁ, 2009. Ekonomické časové řady. Praha: Professional Publishing. ISBN 978-80-86946-85-6.
  • RADOVÁ, J. a P. DVOŘÁK, 2013. Finanční matematika pro každého. Grada Publishing, Praha. ISBN 978-80-247-4831-3.
    recommended literature
  • GUEANT, O., 2016. The Financial Mathematics of Market Liquidity: From Optimal Execution to Market Making, CRC Press, Boca Raton. ISBN-13: 978-1498725477, ISBN-10: 1498725473.
  • MOUČKA, J. a P. RÁDL, 2015. Matematika pro studenty ekonomie. 2., uprav. a dopl. vyd. Praha: Grada. ISBN 978-80-247-5406-2.
  • CIPRA, T., 2008. Finanční ekonometrie. Praha: Ekopress. ISBN 978-80- 86929-43-9
  • HASTINGS, K. J., 2016. Introduction to Financial Mathematics. CRC Press, Boca Raton. ISBN-13: 978-1498723909, ISBN-10: 149872390X.
  • DOŠLÁ, Z. a P. LIŠKA, 2014. Matematika pro nematematické obory: s aplikacemi v přírodních a technických vědách. 1. vydání. Praha: Grada Publishing, 304 stran. Expert. s. 144 - 153. ISBN 978-80-247-5322-5.
Forms of Teaching
Lecture
Seminar
Teaching Methods
Frontal Teaching
Brainstorming
Critical Thinking
Student Workload
ActivitiesNumber of Hours of Study Workload
Daily StudyCombined Study
Continuous test11
Preparation for the Mid-term Test159
Preparation for Seminars, Exercises, Tutorial3474
Preparation for the Final Test2628
Final exam22
Attendance on Lectures26 
Attendance on Seminars/Exercises/Tutorial/Excursion2616
Total:130130
Assessment Methods and Assesment Rate
Test – mid-term 30 %
Test – final 70 %
Exam conditions
To successfully complete the course, it is necessary to achieve a total of at least 70% of the interim and final evaluation under the conditions set out below. In the continuous evaluation, 30 points can be obtained, ie 30%. In the final evaluation, a total of 70 points can be obtained, ie 70%. Overall classification of the course, ie points for the final evaluation (70 - 0) + points from the continuous evaluation (30 - 0): A 100 - 90, B 89,99 - 84, C 83,99 - 77, D 76,99 - 73, E 72.99 - 70, FX 69.99 - 30, F 29.99 - 0. The student of the full-time form of study is obliged to fulfill the obligatory 70% attendance at the contact teaching, ie everything except lectures.
Language of instruction
Czech
Teacher's information
Attendance in the course is defined in a separate VSTE internal standard (Evidence of student attendance at VSTE) for all forms of study. Students in full-time form of study are obliged to attend at least 70 % of the lessons (except for the lectures).
The course is also listed under the following terms winter 2021, winter 2022, winter 2023.
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