M_FPM Financial and actuarial mathematics

Institute of Technology and Business in České Budějovice
summer 2019
Extent and Intensity
2/2/0. 5 credit(s). Type of Completion: zk (examination).
Teacher(s)
Ing. Pavel Rousek, Ph.D. (seminar tutor)
Guaranteed by
Ing. Jaroslav Staněk, DiS.
Study Department – Vice-Rector for Study Affairs – Rector – Institute of Technology and Business in České Budějovice
Supplier department: School of Expertness and Valuation – Rector – Institute of Technology and Business in České Budějovice
Timetable of Seminar Groups
M_FPM/CCV: Sat 23. 3. 13:05–18:00 E7, P. Rousek
Prerequisites (in Czech)
OBOR(CAP)
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 supported by learning outcomes
The course deals with financial and actuarial mathematics, which is used in a wide range of economic processes. Especially for bonds, investment discounts, mortgage loans. The aim of the course is to acquaint students with particular areas so that they are able to use mathematical tools to assess the situation.
Learning outcomes
Graduate is able to use mathematical tools to assess the situation. He solves the problém of bonds, investment discounts, mortgage loans etc. He can measure the portfolio performance data. He manages the principles of insurance (life insurance policies).
Syllabus
  • Introduction, basic terms and interest rates.
  • Compound interest.
  • Savings, pension as regular payments from investments.
  • Classification of bonds. The nominal value of the bond coupon rate, the bond yield. Calculating bond prices of zero-coupon bonds, annuity and perpetuity.
  • Pay off the loan, exchange trades.
  • Sconto, mortgage and consumer loans.
  • Forfaiting, factoring and leasing.
  • Bonds, duration, convexity, immunization.
  • Measurement of portfolio performance data.
  • MMF shares, exchange rate, foreign exchange transactions, financial and trading futures.
  • Utility and insurance function.
  • Principles of insurance - life insurance policies.
  • The basics of insurance - life insurance policies - continued
Literature
    required literature
  • RADOVÁ, J., DVOŘÁK, P., MÁLEK J.: Finanční matematika pro každého. 8., rozš. vyd. Praha: Grada, 2013, 304 s. Finance (Grada). ISBN 978-80-247-4831-3.
  • PROUZA, L. Finanční a pojistná matematika. Vyd. 1. Praha: Vysoká škola ekonomie a managementu, 2007, 157 s. ISBN 978-80-86730-17-2.
    recommended literature
  • BUDINSKÝ, P., ZÁŠKODNÝ, P.: Finanční a investiční matematika. VŠFS, 2003
  • Cipra, T. Praktický průvodce finanční a pojistnou matematikou. Ekopress, Praha: 2015, 308 stran, ISBN: 978-80-87865-18-7
Forms of Teaching
Lecture
Seminar
Tutorial
Teaching Methods
Frontal Teaching
Student Workload
ActivitiesNumber of Hours of Study Workload
Daily StudyCombined Study
Preparation for seminars5060
Preparation for exam4164
Attendance on Lectures20 
Attendance on Seminars/Exercises/Tutorial/Excursion196
Total:130130
Assessment Methods and Assesment Rate
Exam – oral 100 %
Exam conditions
Evaluation: oral exam (100 – 0): A 100 – 90, B 89,99 – 84, C 83,99 – 77, D 76,99 – 73, E 72,99 – 70, FX 69,99 – 30, F 29,99 – 0
Language of instruction
Czech
The course is also listed under the following terms summer 2017, winter 2017, summer 2021, winter 2022.
  • Enrolment Statistics (summer 2019, recent)
  • Permalink: https://is.vstecb.cz/course/vste/summer2019/M_FPM