Course: Actuarial Mathematics 1

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Course title Actuarial Mathematics 1
Course code KMA/POM1
Organizational form of instruction Lecture + Exercise
Level of course Bachelor
Year of study not specified
Semester Winter
Number of ECTS credits 3
Language of instruction Czech
Status of course unspecified
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
Lecturer(s)
  • Pavlačka Ondřej, RNDr. Ph.D.
Course content
1. Basic concepts of Actuarial Mathematics and the Insurance System. 2. Life insurance Mathematics. Mortality intensity, mortality laws. Analytical distributions of the future lifetime. Life tables. Basic principles of life insurance. 3. Net single premium and net premium of life insurance and annuities insurance. 4. Gross single premium and gross premium of life insurance and annuities insurance. 5. Net premium reserves and gross premium reserves of life insurance and annuities insurance. 6. Multiple life insurance. 7. Pension insurance. 8. Health insurance.

Learning activities and teaching methods
Lecture, Demonstration, Projection (static, dynamic)
  • Attendace - 39 hours per semester
  • Preparation for the Course Credit - 20 hours per semester
  • Preparation for the Exam - 35 hours per semester
Learning outcomes
To be able to apply probability theory and principles of financial mathematics to actuarial calculations in life insurance
Comprehension, application To be able to calculate values of nettopremium, premium and net premium reserves and premium reserves in Life Insurance.
Prerequisites
KMA/PMS1 or KMA/PST1, KMA/FIM1.
KMA/FIM1 and KMA/PST1

Assessment methods and criteria
Oral exam, Student performance

Credit: to have the demanded presence in the Exercises, to pass the written test. Exam: the student has to show basic knowledge of life-insurance, pension and health insurance and he/she has to be able to apply the basic principles of life insurance mathematics to calculations of single premiums, premiums and premium reserves.
Recommended literature
  • H. U. Gerber. (1995). Life Insurance Mathematics. Springer.
  • T. Cipra. (1999). Pojistná matematika - teorie a praxe. Ekopress.
  • T. Cipra. (1994). Pojistná matematika v praxi. HZ Praha.


Study plans that include the course
Faculty Study plan (Version) Category of Branch/Specialization Recommended year of study Recommended semester