545-0172/01 – Financial Mathematic (FM)

Gurantor departmentDepartment of Economics and Control SystemsCredits4
Subject guarantorRNDr. Radmila Sousedíková, Ph.D.Subject version guarantorRNDr. Radmila Sousedíková, Ph.D.
Study levelundergraduate or graduateRequirementCompulsory
Year3Semestersummer
Study languageCzech
Year of introduction2020/2021Year of cancellation
Intended for the facultiesHGFIntended for study typesBachelor
Instruction secured by
LoginNameTuitorTeacher giving lectures
SOU70 RNDr. Radmila Sousedíková, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Graded credit 1+2
Part-time Graded credit 4+8

Subject aims expressed by acquired skills and competences

Classify different types of interest. Analyze short and long term securities and bank accounts. Clarify the differences in the different repayment methods. Assess the appropriateness of using different approaches to financial mathematics. Evaluate the profitability of investment alternatives.

Teaching methods

Lectures
Tutorials
Project work

Summary

The course is focused on practical application of financial mathematics. The main areas of interest are interest and discounting and their application in investing and analyzing securities. It also focuses on savings and pensions and debt amortization.

Compulsory literature:

CIPRA, Tomáš. Practical guide to financial and insurance mathematics. Jesenice: Ekopress, 2020. ISBN 978-80-87865-67-5. PETTERS, Arlie O. and Xiaoying DONG. An introduction to mathematical finance with applications: understanding and building financial intuition. Švýcarsko: Springer, 2016. ISBN 978-1-4939-3781-3. JACQUES, Ian. Mathematics for economics and business. Harlow: Pearson, 2013. ISBN 978-0-273-76356-7. LOVELOCK, David, Marilou MENDEL and Larry WRIGHT. An introduction to the mathematics of money: saving and investing. New York: Springer, c2010. ISBN 978-1-4419-2232-8.

Recommended literature:

FUNIOKOVÁ, Taťána. Introduction to financial mathematics. Ostrava: VŠB-TU Ostrava, 2017. ISBN 978-80-248-4081-9. FRANKE,Jürgen, Wolfgang HÄRDLE and Christian M. HAFNER. Statistics of financial markets: an introduction. Berlin: Springer, 2011. ISBN 978-3-642-16520-7. HENRY-LABORDERE, Pierre. Analysis, geometry, and modeling in finance: advanced methods in option pricing. Boca Raton: CRC Press, 2009. ISBN 978-1-4200-8699-7. ROMAN, Steven. Introduction to the mathematics of finance: from risk management to options pricing. New York: Springer, 2004. ISBN 0-387-21364-3.

Way of continuous check of knowledge in the course of semester

Regular feedback on the progress of knowledge during the current term is provided by semester project. The course is completed by a written test.

E-learning

The Moodle Learning Management System (lms.vsb.cz) is used to communicate beyond the scope of attendance at present, through which communication is made not only between the teacher and students, but also between the students.

Other requirements

Individually according to the instructions of the teacher

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

1. Simple interest, discount 2. Short-term securities 3. Compound interest 4. Mixed interest 5. Interest rate 6. Investment decisions 7. Skonto 8. Current and overdraft accounts 9. Savings and regular investments 10. Pensions and annuities 11. Loan repayment 12. Bonds 13. Stocks

Conditions for subject completion

Part-time form (validity from: 2020/2021 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of pointsMax. počet pokusů
Graded credit Graded credit 100 (100) 51 3
        semestrální projekt Semestral project 30  17
        písemný test Written test 70  34
Mandatory attendence participation: 80%

Show history

Conditions for subject completion and attendance at the exercises within ISP: Semester project, written test.

Show history

Occurrence in study plans

Academic yearProgrammeBranch/spec.Spec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2024/2025 (B0724A290003) Mineral Economics K Czech Most 3 Compulsory study plan
2024/2025 (B0724A290003) Mineral Economics P Czech Ostrava 3 Compulsory study plan
2024/2025 (B0724A290003) Mineral Economics K Czech Ostrava 3 Compulsory study plan
2023/2024 (B0724A290003) Mineral Economics K Czech Ostrava 3 Compulsory study plan
2023/2024 (B0724A290003) Mineral Economics K Czech Most 3 Compulsory study plan
2023/2024 (B0724A290003) Mineral Economics P Czech Ostrava 3 Compulsory study plan
2022/2023 (B0724A290003) Mineral Economics K Czech Most 3 Compulsory study plan
2022/2023 (B0724A290003) Mineral Economics K Czech Ostrava 3 Compulsory study plan
2022/2023 (B0724A290003) Mineral Economics P Czech Ostrava 3 Compulsory study plan
2021/2022 (B0724A290003) Mineral Economics K Czech Most 3 Compulsory study plan
2021/2022 (B0724A290003) Mineral Economics K Czech Ostrava 3 Compulsory study plan
2021/2022 (B0724A290003) Mineral Economics P Czech Ostrava 3 Compulsory study plan
2020/2021 (B0724A290003) Mineral Economics K Czech Most 3 Compulsory study plan
2020/2021 (B0724A290003) Mineral Economics K Czech Ostrava 3 Compulsory study plan
2020/2021 (B0724A290003) Mineral Economics P Czech Ostrava 3 Compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner

Assessment of instruction



2023/2024 Summer