M2120 Mathematics of Finance I

Faculty of Science
Spring 2022
Extent and Intensity
2/1/0. 3 credit(s) (příf plus uk k 1 zk 2 plus 1 > 4). Type of Completion: zk (examination).
Teacher(s)
doc. RNDr. Michal Veselý, Ph.D. (lecturer)
Mgr. Jiřina Šišoláková, Ph.D. (assistant)
Guaranteed by
doc. RNDr. Martin Kolář, Ph.D.
Department of Mathematics and Statistics – Departments – Faculty of Science
Supplier department: Department of Mathematics and Statistics – Departments – Faculty of Science
Timetable
Tue 12:00–13:50 A,01026
  • Timetable of Seminar Groups:
M2120/01: Tue 19:00–19:50 M2,01021, M. Veselý
M2120/02: Tue 16:00–16:50 M2,01021, M. Veselý
M2120/03: Tue 18:00–18:50 M2,01021, M. Veselý
M2120/04: Tue 15:00–15:50 M2,01021, M. Veselý
Prerequisites
M1100 Mathematical Analysis I || M2510 Mathematical Analysis 2 || MUC12 Mathematical Analysis 2 || M1101 Mathematical Analysis I || M1100F Mathematical Analysis I || NOW( MIN201 Mathematics II ) || MIN201 Mathematics II
Basic course in mathematical analysis
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
The course is drawn up to explain fundamental relations and important expressions which are used in other courses. This course consists of the conceptions which are necessary for understanding the considered areas (simple and compound interest, short-term and long-term savings, pensions and credits, bonds and stocks).
Learning outcomes
At the end of the course, students will be able to understand basic techniques of the financial mathematics based on elementary calculus. Students will be able to analyse products of financial markets.
In particular, students will be able:
to understand the fundamentals of the financial mathematics;
to understand the principles of interest;
to use the interest in the fundamental areas of the financial mathematics;
to apply acquired knowledge to other areas which are not discussed within this course
Syllabus
  • Simple interest and discounting
  • Compound interest
  • Time value of money
  • Annuities and perpetuities
  • Paying off a loan
  • Bonds and stocks
Literature
    recommended literature
  • CIPRA, Tomáš. Praktický průvodce finanční a pojistnou matematikou. Vyd. 2., v Ekopressu 1. Praha: Ekopress, 2005, 308 s. ISBN 8086119912. info
  • HULL, John. Options, futures, and other derivatives. 7th ed. Upper Saddle River: Pearson Prentice Hall, 2009, xxii, 822. ISBN 9780136015864. info
    not specified
  • RADOVÁ, Jarmila, Petr DVOŘÁK and Jiří MÁLEK. Finanční matematika pro každého. 7. aktualiz. vyd. Praha: Grada, 2009, 293 s. ISBN 9788024732916. info
  • CHÝNA, Vladislav and Jiří MÁLEK. Finanční matematika v příkladech. Edited by Jarmila Radová. 2. vyd. Praha: Professional Publishing, 2005, 160 s. ISBN 8086419975. info
  • ČÁMSKÝ, František. Finanční matematika : distanční studijní opora. 1. vyd. Brno: Masarykova univerzita v Brně, 2004, 120 s. ISBN 8021034793. info
Teaching methods
Lectures, seminars, homework
Assessment methods
The final written exam (150 minutes) for 20 points. For successfull examination (the grade at least E), the student needs 10 points or more.
Language of instruction
Czech
Follow-Up Courses
Further Comments
The course is taught annually.
Listed among pre-requisites of other courses
The course is also listed under the following terms Spring 2008 - for the purpose of the accreditation, Spring 2011 - only for the accreditation, Spring 2000, Spring 2001, Spring 2002, Spring 2003, Spring 2004, Spring 2005, Spring 2006, Spring 2007, Spring 2008, Spring 2009, Spring 2010, Spring 2011, Spring 2012, spring 2012 - acreditation, Spring 2013, Spring 2014, Spring 2015, Spring 2016, Spring 2017, spring 2018, Spring 2019, Spring 2020, Spring 2021, Spring 2023, Spring 2024, Spring 2025.
  • Enrolment Statistics (Spring 2022, recent)
  • Permalink: https://is.muni.cz/course/sci/spring2022/M2120