FKP Financial and insurance calculations

Institute of Technology and Business in České Budějovice
summer 2021
Extent and Intensity
0/2/0. 2 credit(s). Type of Completion: z (credit).
Teacher(s)
doc. RNDr. Ivo Opršal, Ph.D. (seminar tutor)
Guaranteed by
Ing. Martin Telecký, Ph.D.
Department of Informatics and Natural Sciences – Faculty of Technology – Rector – Institute of Technology and Business in České Budějovice
Supplier department: Department of Informatics and Natural Sciences – Faculty of Technology – Rector – Institute of Technology and Business in České Budějovice
Timetable of Seminar Groups
FKP/S01: Thu 8:00–9:30 D415, I. Opršal
Prerequisites
FORMA(P)
The student controls the content of the MAT_a or MAT_z and basics of statistics (random number, distribution function, mean value). The course is open to students of any field. It is especially suitable for students of economic disciplines who are considering going on follow-up study.
Course Enrolment Limitations
The course is offered to students of any study field.
Course objectives supported by learning outcomes
The aim of the course is to provide students with information for financial decision-making in both business and private finance management. Based on mathematical procedures used in banking, insurance, and financial practice, the course reveals the mathematical behind the scenes of financial and insurance products. Upon successful completion of the course, the student can explain the mathematical methods and procedures that are used in finance and can apply them to important banking and financial products, such as interest, savings, pensions, loan repayment, bills, bonds, stocks. Furthermore, the student is acquainted with the issue of insurance calculations and the methodology of determining the amount of insurance in various types of insurance.
Learning outcomes
The student can explain the mathematical methods and procedures that are used in finance and can apply them to important banking and financial products, such as interest, savings, pensions, loan repayment, bills, bonds, stocks.
Syllabus
1. Basic concepts: percentage, averages, sequences, and series. 2. Basic concepts: a certain integral (methods of calculation), basics of probability. Introduction to the company finances: "sparr, ammo, fonder, supply". 3. Interest. Types of interest. Simple interest rates, overdue, basic equations. Discount. Compound interest. Basic equations for compound interest overdue. Mixed interest. Calculation of interest rate and interest. 4. Short- and long-term savings. Pensions as regular payments from the investment. 5. Repayment of the loan, constant annuity, death. 6. Bills of exchange and bill of exchange trades. Discount. Current accounts. 7. Mortgage loans. Consumer loans. Bonds. Shares. 8. Insurance vs. Actuarial Mathematics 9. Specifics of life and non-life insurance 10. Demographics. Mortality charts. Mortality laws. Commutation numbers 11. Capital life insurance 12. Pension insurance 13. Non-life insurance
Literature
    required literature
  • ŠOBA Oldřich, ŠIRŮČEK Martin, Finanční matematika v praxi, 2. aktualizované a rozšířené vydání, Grada, Praha 2017
  • RADOVÁ, Jarmila, Petr DVOŘÁK a Jiří MÁLEK. Finanční matematika pro každého. 8. aktualizované vydání. Grada, Praha, 2013.
    recommended literature
  • RADOVÁ, Jarmila a kol. Finanční matematika pro každého + CD-ROM, příklady. 2. přepracované vydání. Grada, Praha, 2011. info
  • ODVÁRKO, Oldřich. Matematika pro gymnázia - Posloupnosti a řady. 3. vydání. Prometheus, Praha, 2008. info
  • CIPRA, Tomáš. Finanční a pojistné vzorce. In Finanční trhy a instituce. 1. vyd. Praha: Grada, 2006, 374 s. Finanční trhy a instituce. ISBN 80-247-1633-X. info
    not specified
  • CIPRA, Tomáš. Praktický průvodce finanční a pojistnou matematikou. Vyd. 2., V nakl. Ekopress 1. Praha: Ekopress, 2005, 308 s. ISBN 80-86119-91-2. info
Forms of Teaching
Exercise
Excursion - language
Teaching Methods
Frontal Teaching
Group Teaching - Cooperation
Partner Teaching
Critical Thinking
Student Workload
ActivitiesNumber of Hours of Study Workload
Daily StudyCombined Study
Preparation for the Mid-term Test1010
Preparation for Seminars, Exercises, Tutorial66
Preparation for the Final Test1010
závěrečná zpráva (in Czech)1010
Attendance on Seminars/Exercises/Tutorial/Excursion2626
účast na exkurzi (in Czech)4242
Total:104104
Assessment Methods and Assesment Rate
Test – mid-term 30 %
Test – final 70 %
Exam conditions
Continuous test, including activity - a maximum of 30 points can be obtained. Exam test - a maximum of 70 points can be obtained.
Language of instruction
Czech
Teacher's information
Attendance at classes in all forms is governed by a separate internal standard of VŠTE (Records of student attendance at VŠTE). For full-time students, 70% attendance is required for contact classes, ie everything except lectures.
The course is also listed under the following terms winter 2021, summer 2022, winter 2022.
  • Enrolment Statistics (summer 2021, recent)
  • Permalink: https://is.vstecb.cz/course/vste/summer2021/FKP