Course detail

Financial and Insurance Mathematics

FP-MfpmKAcad. year: 2017/2018

This course is a cross-section of modern methods and principals of financial and selected insurance calculations as they are applied in financial and insurance practice: types of interest rates, savings, systems of financial flows, investment rules, income, shares, bonds, debt amortization, financial risk, portfolio theory, basic insurance principles.

Language of instruction

Czech

Number of ECTS credits

4

Mode of study

Not applicable.

Guarantor

RNDr. Zuzana Chvátalová, Ph.D.

Department

Institute of Informatics (ÚI)

Learning outcomes of the course unit

After completing the course, students will be able to understand the principles and function of the financial decision-making and to use acquired knowledge and skills for modeling of financial and insurance phenomena and solving of basic problems in these areas by conventional means of engineering mathematics.

Prerequisites

Basic courses university mathematics: percentages, adjustment of expressions, solving equations, inequations, and their systems, functions (basic terms, properties and graphs of elementary functions), sequences and series (especially arithmetic and geometric), averages. The basic use of mathematical software for computations, visualizations, simulations and modeling of financial phenomena. Orientation in selected categories in the economic environment.

Co-requisites

Not applicable.

Planned learning activities and teaching methods

The course contains lectures that explain basic principles, problems and methodology of this discipline. There are solved typical examples and tasks.

Assesment methods and criteria linked to learning outcomes

To obtain the course-unit credit it is required: processing assigned tasks, semester project and successful completion of a credit test (evaluation A to E).
The course-unit credit is a necessary prerequisite for the exam execution.
Conditions for exam:
The course-unit credit is a necessary prerequisite for the exam execution. Exam demonstrates knowledge of taught topics and its practical application. Form of examination is combined: a written part (60 minutes), and a short oral part. The core of exam is a written part. Oral part follows a written part and it is used to more specification of a final classification. To the exam are admitted only students who are logged into the BUT system. Classification methods depend on the BUT Rules for Studies and Examinations using the ECTS grading scale

Course curriculum

Fundamentals of mathematical methods aimed to discipline - brief summary
Interest
Savings
Time value of money; Investment decision-making
Pensions
Loans; Installment plan
Bond
Shares
Portfolio theory
Future contracts; Speculation in securities; Currency rates
Insurance

Work placements

Not applicable.

Aims

The aim of the course is to acquaint students with the basic concepts and relations in the field of modern finance in the application of mathematical methods, applications in the real examples and other practical knowledge.s.

Specification of controlled education, way of implementation and compensation for absences

Attendance at lectures is not compulsory, but is recommended.
Attendance at exercises is compulsory and regularly monitored. Student must to excuse his absence. The independent processing of assigned tasks in excercises are checked. In the case of non-fulfilment given conditions in excercises the teacher can set additional condition.

Recommended optional programme components

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

CIPRA, T.: Praktický průvodce finanční a pojistnou matematikou. Vyd. III. Praha: Ekopress. 308 s. 2015. ISBN: 978-80-87865-18-7. (CS)
RADOVÁ, J., DVOŘÁK, P. and MÁLEK, J.. Finanční matematika pro každého. 8. rozšířené vydání. Praha: Grada Publishing, a.s. 304 s. 2013. ISBN:078-80-247-4831-3. (CS)
KARATSAZ., I. and SHREVE, S.E. Methods of Mathematical Finance. 2. vydání. Springer. 1999. ISBN-13: 978-0387948393. (CS)

Recommended reading

RADOVÁ, J. a kol. Finanční matematika pro každého, příklady + CD-ROM. 2. přepracované vydání.Praha: Grada publishing, a.s. 256 s. 2011. ISBN978-80-247-3584-9. (CS)
MACHÁČEK, O. Finanční a pojistná matematika: úrok a úročení, modely opakovaných plateb, burzovní operace při složeném úročení, pojistné operace. 2.vydání, Praha: Prospektrum. 213 s. 3001. ISBN 80-7175-104-9. (CS)
Bohanesová, E. 2006. Finanční matematika 1. Vyd. 1. Univerzita Palackého v Olomouci Přírodovědecká fakulta, 118 s. ISBN 80-244-1294-2. (CS)

Classification of course in study plans

  • Programme BAK-MIn-KS Bachelor's

    branch BAK-MIn-KS , 2. year of study, winter semester, compulsory-optional

Type of course unit

 

Guided consultation in combined form of studies

16 hours, optionally

Teacher / Lecturer

RNDr. Zuzana Chvátalová, Ph.D.

Syllabus

In the framework of the combined lessons students process the tasks which are given according to the topics of the course syllabus. These works will be registered by the lecturer. The lessons will be substantively identical to teaching in attendance form. The individual topics are exactly linked to the physical and electronic resources. This course is completed successful creating, respectively also presentation of a semester work and a written test and and oral exam according to the topics of the course syllabus. In the semester, students have 16 hours of consultations with the lecturer.