Financial and Insurance Mathematics

Garant předmětu:

Lecturer:

Tutor:

Supervisor:

Department of Mathematics

Synopsis:

This course is an introduction to the problems of life and non-life insurance and financial mathematics.

Requirements:

Basic course of probability and mathematical statistics

Syllabus of lectures:

1. Fundamentals of Financial Mathematics (interest, etc.) 2. Fundamentals of Demographics (especially mortality) 3. Life Insurance (premium, reserves, reinsurance) 4. Non-life insurance (premium, reserves, reinsurance) 5. Financial Mathematics (Securities)

Syllabus of tutorials:

Study Objective:

Principles of calculation and the calculation of insurance premiums, life insurance reserves, reserves for insurance benefits (especialy IBNR reserves), prices of selected securities

Study materials:

Key references:

Actuarial Mathematics, Newton L. Bowers, Hans U. Gerber, James C. Hickman, Donald A. Jones, Cecil J. Nesbitt, Society of Actuaries; 2nd edition (May 1997)

Recommended references:

A Course in Financial Calculus, Alison Etheridge, Cambridge University Press, 2002

Note:

Further information:

No time-table has been prepared for this course

The course is a part of the following study plans:

• Matematické inženýrství (elective course)
• Aplikace softwarového inženýrství (elective course)
• Aplikovaná algebra a analýza (elective course)
• Aplikované matematicko-stochastické metody (compulsory elective course)
• Matematické inženýrství (elective course)
• Matematická informatika (elective course)