M8F10 Mathematics and Statistical Methods in Insurance

Faculty of Science
Spring 2016
Extent and Intensity
2/0/0. 2 credit(s) (fasci plus compl plus > 4). Type of Completion: zk (examination).
Teacher(s)
doc. RNDr. Martin Kolář, Ph.D. (lecturer)
Guaranteed by
doc. RNDr. Martin Kolář, Ph.D.
Department of Mathematics and Statistics – Departments – Faculty of Science
Contact Person: Ing. František Řezáč, Ph.D.
Supplier department: Department of Mathematics and Statistics – Departments – Faculty of Science
Timetable
Wed 18:00–19:50 M2,01021
Prerequisites
Mastering the basics of financial and actuarial mathematics.
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
Students will be informed of the possibility of using mathematical and statistical methods in insurance activities of commercial insurance companies operating in the insurance market in the Czech Republic. After completing this course, students will be able to understand the basic principles of calculation of premiums and making insurance reserves.
Syllabus
  • 1st Definition of insurance and reinsurance activities under the Insurance Act. 2nd Life Insurance - mortality modeling, valuation and calculation of life insurance. 3rd Non-life insurance - calculation of premiums in non-life insurance, mathematical modeling in non-life insurance. 4th Non-life insurance - and the modeling of the damage modeling of extreme values. 5th Modeling results of the business. 6th Valuation of property insured in case of insurance contracts and liquidation claims. 7th Effect of claims on the creation of premium rates and non-life insurance. 8th Insurance company financial statements (Balance Sheet, Profit and loss account, cash flow statement), evaluating the development of indicators in time series. 9th Management of commercial insurance, income, expenses and profit. 10th Asset insurance, investment insurance business, insurance solvency. 11th Key indicators of financial analysis as a means of comparison between the competitiveness of insurance companies. 12th Indicators of the insurance market and their comparison in terms of the global insurance market. 13th Diversification of risk hedging.
Literature
    required literature
  • MAJTÁNOVÁ, Anna. Pojišťovnictví :teorie a praxe. 1. vyd. Praha: Ekopress, 2006, 288 s. ISBN 8086929191. info
  • CIPRA, Tomáš. Pojistná matematika : teorie a praxe. Vyd. 1. Praha: Ekopress, 1999, 398 s. ISBN 8086119173. info
  • CIPRA, Tomáš. Finanční a pojistné vzorce. 1. vyd. Praha: Grada, 2006, 374 s. ISBN 802471633X. info
  • CIPRA, Tomáš. Zajištění a přenos rizik v pojišťovnictví. 1. vyd. Praha: Grada, 2004, 260 s. ISBN 8024708388. info
  • ŘEZÁČ, František, Gabriela OŠKRDALOVÁ, Martin ŘEZÁČ, Miroslava ŠIKULOVÁ and Petr VALOUCH. Marketingové řízení komerční pojišťovny (Marketing management of insurace company). 1. vyd. Brno: Masarykova univerzita, Tisk: BonnyPress, 2009, 210 pp. ISBN 978-80-210-4799-0. info
    recommended literature
  • MEZNÍK, Ivan. Úvod do matematické ekonomie pro ekonomy. Vyd. 1. Brno: VUT, 2011, 189 s. ISBN 9788072047246. info
Teaching methods
Lectures.
Assessment methods
Successful completion of this course is at least 60% success rate in the written examination.
Language of instruction
Czech
Further comments (probably available only in Czech)
Study Materials
The course is taught once in two years.
The course is also listed under the following terms Spring 2012, spring 2012 - acreditation, Spring 2014, spring 2018, Spring 2021, Spring 2023, Spring 2025.
  • Enrolment Statistics (Spring 2016, recent)
  • Permalink: https://is.muni.cz/course/sci/spring2016/M8F10