545-0396/01 – Mathematics of Finance and Insurance (FPM)

Gurantor departmentDepartment of Economics and Control SystemsCredits4
Subject guarantordoc. Ing. Roman Kozel, Ph.D.Subject version guarantorRNDr. Radmila Sousedíková, Ph.D.
Study levelundergraduate or graduateRequirementChoice-compulsory
Year2Semestersummer
Study languageCzech
Year of introduction2007/2008Year of cancellation2007/2008
Intended for the facultiesHGFIntended for study typesMaster
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 Credit and Examination 2+2
Combined Credit and Examination 10+0

Subject aims expressed by acquired skills and competences

Analysing short-term and long-term securities and bank accounts, and evaluating their return; assessing insurance products using actuarial mathematics.

Teaching methods

Lectures
Tutorials
Project work
Terrain work

Summary

The subject concerns fundamentals of mathematics of finance and insurance, i.e. simple interest and discount and their application to short-term security analysis, compound interest, annuities, debt amortization, bond and stock analysis and life insurance theory and calculation.

Compulsory literature:

LOVELOCK, D., M, MENDEL and A. L. WRIGHT. An Introduction to the Mathematics of Money: Saving and Investing. New York: Springer, 2010. 300 p. ISBN 978-1441922328.

Recommended literature:

GARRETT, S. J. An Introduction to the Mathematics of Finance: A Deterministik Approach. 2nd ed. Oxford: Butterworth-Heinemann, 2013. 464 p. ISBN 978-0080982403.

Way of continuous check of knowledge in the course of semester

E-learning

Další požadavky na studenta

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

1. Jednoduchý úrok, diskont 2. Směnka, pokladniční poukázka, depozitní certifikát, běžný a kontokorentní úvěr, skonto 3. Složený úrok, smíšené úročení, spojité úročení, reálná úroková míra 4. Důchody, současná a koncová hodnota důchodu 5. Umořování dluhu s nestejnými a stejnými splátkami 6. Obligace, cena a výnosnost obligace 7. Akcie, cena akcie, odběrní právo, klouzavé průměry 8. Forwardové kontrakty, termínové kontrakty, opce, prémiové obchody 9. Analýza portfolia 10. Pojištění osob, úmrtnostní tabulky, jednorázové a běžné pojistné, pojistná rezerva 11. Pojištění majetku a odpovědnosti za škody

Conditions for subject completion

Combined form (validity from: 1960/1961 Summer semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Exercises evaluation and Examination Credit and Examination 100 (100) 51
        Exercises evaluation Credit 33 (33) 0
                Project Project 33  0
        Examination Examination 67 (67) 0
                Oral Oral examination 67  0
Mandatory attendence parzicipation:

Show history

Occurrence in study plans

Academic yearProgrammeField of studySpec.FormStudy language Tut. centreYearWSType of duty
2007/2008 (M2102) Mineral Raw Materials (2102T001) Economics Management in Raw Materials treatment Industry K Czech Ostrava 5 Choice-compulsory study plan
2007/2008 (M2102) Mineral Raw Materials (2102T001) Economics Management in Raw Materials treatment Industry K Czech Most 5 Choice-compulsory study plan
2006/2007 (M2102) Mineral Raw Materials (2102T001) Economics Management in Raw Materials treatment Industry K Czech Ostrava 5 Choice-compulsory study plan
2006/2007 (M2102) Mineral Raw Materials (2102T001) Economics Management in Raw Materials treatment Industry K Czech Most 5 Choice-compulsory study plan
2006/2007 (B2102) Mineral Raw Materials (6209R013) Information and System Management K Czech Ostrava 2 Choice-compulsory study plan
2006/2007 (B2102) Mineral Raw Materials (6209R013) Information and System Management K Czech Most 2 Choice-compulsory study plan
2005/2006 (M2102) Mineral Raw Materials (2102T001) Economics Management in Raw Materials treatment Industry K Czech Ostrava 5 Choice-compulsory study plan
2005/2006 (M2102) Mineral Raw Materials (2102T001) Economics Management in Raw Materials treatment Industry K Czech Most 5 Choice-compulsory study plan
2005/2006 (M2102) Mineral Raw Materials (2102T001) Economics Management in Raw Materials treatment Industry P Czech Ostrava 3 Choice-compulsory study plan
2005/2006 (B2102) Mineral Raw Materials (6209R013) Information and System Management K Czech Ostrava 2 Choice-compulsory study plan
2005/2006 (B2102) Mineral Raw Materials (6209R013) Information and System Management K Czech Most 2 Choice-compulsory study plan
2004/2005 (M2102) Mineral Raw Materials (2102T001) Economics Management in Raw Materials treatment Industry K Czech Ostrava 5 Choice-compulsory study plan
2004/2005 (M2102) Mineral Raw Materials (2102T001) Economics Management in Raw Materials treatment Industry P Czech Ostrava 3 Choice-compulsory study plan
2004/2005 (B2102) Mineral Raw Materials (6209R013) Information and System Management K Czech Ostrava 2 Choice-compulsory study plan
2003/2004 (M2102) Mineral Raw Materials (2102T001) Economics Management in Raw Materials treatment Industry K Czech Ostrava 5 Choice-compulsory study plan
2003/2004 (M2102) Mineral Raw Materials (2102T001) Economics Management in Raw Materials treatment Industry P Czech Ostrava 3 Choice-compulsory study plan
2003/2004 (B2102) Mineral Raw Materials (6209R013) Information and System Management K Czech Ostrava 2 Choice-compulsory study plan
2002/2003 (M2102) Mineral Raw Materials (2102T001) Economics Management in Raw Materials treatment Industry K Czech Ostrava 5 Choice-compulsory study plan
2002/2003 (M2102) Mineral Raw Materials (2102T001) Economics Management in Raw Materials treatment Industry P Czech Ostrava 3 Choice-compulsory study plan
2001/2002 (M2102) Mineral Raw Materials (2102T001) Economics Management in Raw Materials treatment Industry K Czech Ostrava 5 Choice-compulsory study plan
2001/2002 (M2102) Mineral Raw Materials (2102T001) Economics Management in Raw Materials treatment Industry P Czech Ostrava 3 Choice-compulsory study plan
2001/2002 (M2102) Mineral Raw Materials (3902T033) systems Engineering in Raw Materials Treatment Industry P Czech Ostrava 2 Choice-compulsory study plan
2000/2001 (M2102) Mineral Raw Materials (2102T001) Economics Management in Raw Materials treatment Industry K Czech Ostrava 5 Choice-compulsory study plan
2000/2001 (M2102) Mineral Raw Materials (2102T001) Economics Management in Raw Materials treatment Industry P Czech Ostrava 3 Choice-compulsory study plan
2000/2001 (M2102) Mineral Raw Materials (3902T033) systems Engineering in Raw Materials Treatment Industry P Czech Ostrava 2 Choice-compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner