151-0418/02 – Mathematics of Finance (FinM)

Gurantor department	Department of Mathematical Methods in Economics	Credits	4
Subject guarantor	Mgr. Taťána Funioková, Ph.D.	Subject version guarantor	RNDr. Danuše Bauerová, Ph.D.
Study level	undergraduate or graduate	Requirement	Choice-compulsory
Year	1	Semester	winter
		Study language	Czech
Year of introduction	2007/2008	Year of cancellation	2009/2010
Intended for the faculties	EKF	Intended for study types	Follow-up Master

Instruction secured by
Login	Name	Tuitor	Teacher giving lectures
BAU20	RNDr. Danuše Bauerová, Ph.D.
HRU61	RNDr. Jana Hrubá, Ph.D.

Extent of instruction for forms of study
Form of study	Way of compl.	Extent
Distance	Credit and Examination	0+6
Lifelong	Credit and Examination	0+3

Subject aims expressed by acquired skills and competences

After graduating from this subject you will be able to apply knowledge in practical financial operations regarding short-time securities, compound interest, current value of money, pension’s savings and loans. You will be able to analyse the risk of securities. You will codify and specify your present descriptive knowledge of particular field. You will be able to express your thoughts and solving process by a graph. You will exercise the use of financial functions by ICT. You will formulate precisely the problem chosen by you, offer the methodology and its application during the team cooperation. The final outcomes formulated in coordination with the aims being determined you will defend publicly in both ways at the meeting and also in the virtual environment – internet.

Teaching methods

Lectures
Tutorials

Summary

The subject deepens students’ knowledge of the Economics realm and leads it to the level of accurate mathematical comprehension. It teaches students finding out and thinking of clear arguments for the justification of various economic phenomena. In the name of this aim, it shows students the procedures which they can use their knowledge of Economics and mathematical and logical apparatus for.

Compulsory literature:

* Stephen G. Kellison: Theory of Interest, McGraw-Hill/Irwin; 2nd edition (May 1, 1991), ISBN: 0256091501. * R.A. Brealey, S.C: Myers, Principles of Corporate Finance, Fourth Edition, McGraw-Hill, International Edition, 1991, ISBN 0-07007405-4.

Recommended literature:

Way of continuous check of knowledge in the course of semester

E-learning

Other requirements

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

Obsah přednášek: 1. Jednoduché úrokování • Jednoduchý úrok • Bankovní diskont 2. Některé krátkodobé cenné papíry 3. Složené úrokování • Složený úrok a současná hodnota • Spojité úročení • Inflace a její vztah k úrokovým sazbám a cenám cenných papírů, reálná úroková míra 4. Časová hodnota peněz a investiční rozhodování • Hodnotová rovnice • Výnosnost 5. Spoření • Spoření krátkodobé • Spoření dlouhodobé 6. Kombinace krátkodobého a dlouhodobého spoření 7. Důchod • Současná a koncová hodnota důchodu 8. Umořování dluhu • Úmor dluhu nestejnými splátkami • Úmor dluhu stejnými splátkami • Určení počtu anuit 9. Modely důchodů a půjček 10. Analýza cenných papírů • Obligace • Akcie • Termínové obchody 11. Úvod do rizika • Měření rizika portfolia 12. Snižování rizika diverzifikací • Ovlivňování rizika portfolia jednotlivými cennými papíry • Diverzifikace a aditivita hodnot 13. Riziko a výnos • Vztah mezi rizikem a výnosem 14. Prezentace prací studentů v týmech Obsah cvičení: Podle aktuálních instrukcí v řídícím vzdělávacím systému Moodle.

Conditions for subject completion

Distance form (validity from: 1960/1961 Summer semester)

Task name	Type of task	Max. number of points (act. for subtasks)	Min. number of points	Max. počet pokusů
Exercises evaluation and Examination	Credit and Examination	100 (100)	51	3
Exercises evaluation	Credit	45 (45)	0	3
Project	Project	45	0	3
Examination	Examination	55 (55)	0	3
Written examination	Written examination	55	0	3

Mandatory attendence participation:

Show history

Conditions for subject completion and attendance at the exercises within ISP:

Show history

Occurrence in study plans

Academic year	Programme	Branch/spec.	Form	Study language	Tut. centre	Year	Type of duty
2009/2010	(N6207) Quantitative Methods in Management	(6207T018) Quantitative management support	D	Czech	Ostrava	1	Choice-compulsory	study plan
2009/2010	(N6207) Quantitative Methods in Management	(6207T018) Quantitative management support	D	Czech	Ostrava	2	Choice-compulsory	study plan
2008/2009	(N6207) Quantitative Methods in Management	(6207T018) Quantitative management support	D	Czech	Ostrava	1	Choice-compulsory	study plan
2008/2009	(N6207) Quantitative Methods in Management	(6207T018) Quantitative management support	D	Czech	Ostrava	2	Choice-compulsory	study plan

Occurrence in special blocks

Block name	Academic year	Form of study	Study language	Year	W	S	Type of block	Block owner

Assessment of instruction

Předmět neobsahuje žádné hodnocení.