151-0320/02 – Insurance Mathematics (PMnav)

Gurantor departmentDepartment of Mathematical Methods in EconomicsCredits5
Subject guarantorMgr. Taťána Funioková, Ph.D.Subject version guarantorMgr. Taťána Funioková, Ph.D.
Study levelundergraduate or graduateRequirementChoice-compulsory
Year1Semesterwinter
Study languageCzech
Year of introduction2004/2005Year of cancellation2022/2023
Intended for the facultiesEKFIntended for study typesBachelor, Follow-up Master
Instruction secured by
LoginNameTuitorTeacher giving lectures
FUN01 Mgr. Taťána Funioková, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 2+2

Subject aims expressed by acquired skills and competences

The objectives of the lessons are to analyse the methods of the actuarial calculations in the context of their ancient development, to identify their conveniences and disadvantages, and to formulate the universal principals on which they are based. The students should undertand them insomuch that they will be able to design new modifications of known caculations and to gauge their applicability in the practice.

Teaching methods

Lectures
Tutorials
Project work

Summary

The main goal is to acquaint students with the most fundamental results of present actuarial mathematics at the appropriate level, so that they will be able work further on these topics creatively on their own. Students will be acquainted with insurance risk models, main demographic characteristics used in life insurance, models of net premium and gross premium calculation as well in life as in non-life insurance, general principles of premium reserves calculation and reinsurance. Actual points related to pension systems and insurer’s solvency will also be discussed. The matter of the subject can be studied using the knowledge of financial mathematics, statistics, spreadsheets (esp. MS Excel) and the very elementary knowledge of algorithms and programming.

Compulsory literature:

Promislow, David.S.: Fundamentals of Actuarial Mathematics. 1st ed. Chichester: John Wiley & Sons Ltd, 2006. 372 pp. ISBN 0-470-01689-2

Recommended literature:

Mikosch, T.: Non-Life Insurance Mathematics - An Introduction with Stochastic Processes. 1st ed. Berlin: Springer, 2004. 235 pp. ISBN 3-540-40650-6 WILLIAMS, Chester A., SMITH, Michael L., YOUNG, Peter C.: Risk Management and insurance. 7nd ed. New York: MacGraw-Hill, 1995. 680 pp. ISBN 0-07-070584-4.

Way of continuous check of knowledge in the course of semester

1.projekt - pojištění pro případ dožití a pojištění důchodu s jednorázovým pojistným 2.projekt - pojištění pro případ smrti s jednorázovým pojistným 3.projekt - pojištění s běžným pojistným

E-learning

http://moodle.vsb.cz/vyuka/ kurs 151-320 Pojistná matematika

Other requirements

No additional activities required.

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

The main goal is to acquaint students with the most fundamental results of present actuarial mathematics at the appropriate level, so that they will be able work further on these topics creatively on their own. Students will be acquainted with insurance risk models, main demographic characteristics used in life insurance, models of net premium and gross premium calculation as well in life as in non-life insurance, general principles of premium reserves calculation and reinsurance. Actual points related to pension systems and insurer’s solvency will also be discussed. The matter of the subject can be studied using the knowledge of financial mathematics, statistics, spreadsheets (esp. MS Excel) and the very elementary knowledge of algorithms and programming.

Conditions for subject completion

Full-time form (validity from: 1960/1961 Summer semester, validity until: 2022/2023 Summer semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of pointsMax. počet pokusů
Exercises evaluation and Examination Credit and Examination 100 (100) 51 3
        Examination Examination 70 (70) 10 3
                Písemná zkouška Written examination 50  26 3
                Ústní zkouška Oral examination 20  11 3
        Exercises evaluation Credit 30 (30) 20 2
                1.projekt - pojištění pro případ dožití a pojištění důchodu s jednorázovým pojistným Project 10  7 2
                2.projekt - pojištění pro případ smrti s jednorázovým pojistným Project 10  7 2
                3.projekt - pojištění s běžným pojistným Project 10  6 2
Mandatory attendence participation: Attendance at lectures is recommended, for seminars at least 80% is required.

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Conditions for subject completion and attendance at the exercises within ISP:

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Occurrence in study plans

Academic yearProgrammeBranch/spec.Spec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2017/2018 (N6202) Economic Policy and Administration (6202T010) Finance P Czech Ostrava 1 Choice-compulsory study plan
2016/2017 (N6202) Economic Policy and Administration (6202T010) Finance P Czech Ostrava 1 Choice-compulsory study plan
2015/2016 (N6202) Economic Policy and Administration (6202T010) Finance P Czech Ostrava 1 Choice-compulsory study plan
2012/2013 (B6202) Economic Policy and Administration (6202R010) Finance (00) Finance P Czech Ostrava 3 Choice-compulsory study plan
2011/2012 (B6202) Economic Policy and Administration (6202R010) Finance (00) Finance P Czech Ostrava 3 Choice-compulsory study plan
2010/2011 (B6208) Economics and Management (6208R011) Economics and Law in Business P Czech Ostrava 3 Choice-compulsory study plan
2010/2011 (N6208) Economics and Management (6202T049) Accounting and Taxes P Czech Ostrava 1 Choice-compulsory study plan
2010/2011 (B6202) Economic Policy and Administration (6202R010) Finance (00) Finance P Czech Ostrava 3 Choice-compulsory study plan
2010/2011 (B6207) Quantitative Methods in Economics (6207R015) Managerial and Decision Making Methods in Economics P Czech Ostrava 3 Compulsory study plan
2010/2011 (B6234) Quantitative Methods and Decision Making in Economics (6207R015) Managerial and Decision Making Methods in Economics P Czech Ostrava 3 Compulsory study plan
2009/2010 (N6208) Economics and Management (6202T049) Accounting and Taxes P Czech Ostrava 1 Choice-compulsory study plan
2009/2010 (B6207) Quantitative Methods in Economics (6207R015) Managerial and Decision Making Methods in Economics P Czech Ostrava 3 Compulsory study plan
2009/2010 (B6202) Economic Policy and Administration (6202R010) Finance (00) Finance P Czech Ostrava 3 Choice-compulsory study plan
2008/2009 (B6207) Quantitative Methods in Economics (6207R015) Managerial and Decision Making Methods in Economics P Czech Ostrava 3 Compulsory study plan
2008/2009 (B6202) Economic Policy and Administration (6202R010) Finance (00) Finance P Czech Ostrava 3 Choice-compulsory study plan
2008/2009 (N6208) Economics and Management (6202T049) Accounting and Taxes P Czech Ostrava 1 Choice-compulsory study plan
2007/2008 (B6207) Quantitative Methods in Economics (6207R015) Managerial and Decision Making Methods in Economics P Czech Ostrava 3 Compulsory study plan
2007/2008 (B6202) Economic Policy and Administration (6202R010) Finance (00) Finance P Czech Ostrava 3 Choice-compulsory study plan
2007/2008 (N6208) Economics and Management (6202T049) Accounting and Taxes P Czech Ostrava 1 Choice-compulsory study plan
2006/2007 (B6202) Economic Policy and Administration (6202R010) Finance (00) Finance P Czech Ostrava 3 Choice-compulsory study plan
2006/2007 (B6207) Quantitative Methods in Economics (6207R015) Managerial and Decision Making Methods in Economics P Czech Ostrava 3 Compulsory study plan
2006/2007 (N6202) Economic Policy and Administration (6202T049) Accounting and Taxes P Czech Ostrava 1 Choice-compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner

Assessment of instruction



2009/2010 Winter