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Mathematics of Life Insurance 1 - NMFP407

Title:	Matematika životního pojištění 1
Guaranteed by:	Department of Probability and Mathematical Statistics (32-KPMS)
Faculty:	Faculty of Mathematics and Physics
Actual:	from 2022
Semester:	winter
E-Credits:	5
Hours per week, examination:	winter s.:2/2, C+Ex [HT]
Capacity:	unlimited
Min. number of students:	unlimited
Virtual mobility / capacity:	no
State of the course:	taught
Language:	English, Czech
Teaching methods:	full-time

Guarantor:	prof. RNDr. Tomáš Cipra, DrSc. doc. RNDr. Martin Branda, Ph.D.
Class:	M Mgr. FPM M Mgr. FPM > Povinné
Classification:	Mathematics > Mathematics, Algebra, Differential Equations, Potential Theory, Didactics of Mathematics, Discrete Mathematics, Math. Econ. and Econometrics, External Subjects, Financial and Insurance Math., Functional Analysis, Geometry, General Subjects, , Real and Complex Analysis, Mathematics General, Mathematical Modeling in Physics, Numerical Analysis, Optimization, Probability and Statistics, Topology and Category
Incompatibility :	NMFM405
Interchangeability :	NMFM405
Is incompatible with:	NMFM405
Is pre-requisite for:	NMFP432, NMFP532, NMFP501
Is interchangeable with:	NMFM405

Opinion survey results Examination dates WS schedule Noticeboard

Annotation -

Last update: doc. RNDr. Martin Branda, Ph.D. (05.12.2020)

Model of random future lifetime. Capital life insurance. Life annuities. Net single premium and net premium of basic products of life insurance. Net premium reserve.

Literature -

Last update: prof. RNDr. Tomáš Cipra, DrSc. (04.12.2020)

Gerber H.U.: Life Insurance Mathematics. Springer, Berlin 1997.

Cipra, T.: Financial and Insurance Formulas. Springer, New York 2010.

Cipra, T.: Pojistná matematika: teorie a praxe. Ekopress, Praha 2006.

Cipra, T.: Finanční a pojistné vzorce. Grada, Praha 2006.

Cipra, T.: Riziko ve financích a pojišťovnictví: Basel III a Solvency II. Ekopress, Praha 2015.

Cipra, T.: Practical Guide to Financial and Insurance Mathematics. Ekopress, Praha 2020.

Teaching methods -

Last update: RNDr. Jitka Zichová, Dr. (13.05.2022)

Lecture + exercises.

Syllabus -

Last update: prof. RNDr. Tomáš Cipra, DrSc. (04.12.2020)

1. Demographic model of life insurance. Model of random future lifetime. Life Tables and commutation functions.

2. Capital life insurance: basic products, variable sum insured, insurance payable at moment of death.

3. Life annuities: annual and payable m-times a year .

4. Net premium: single and annual.

5. Net premium reserve