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Universitas Brawijaya

Faculty of Mathematics and Natural Sciences

Department of Statistics / Bachelor Statistics Study Programme Module Handbook

Module Name: Actuarial Science (MAS61332)

Module Level: Bachelor

Abbreviation, if applicable: - Sub-heading, if applicable: - Courses included in the

module, if applicable:

-

Semester/term: 3rd / Second Year Module Coordinator(s): Darmanto, S.Si., M.Si.

Lecturer(s): Darmanto, S.Si., M.Si.

Language: Indonesian

Classification within the curriculum:

Elective Course Teaching format / class per

week during semester:

3 × 50 minutes

Workload: 2.5 hours lectures, 3 hours structural activities, 3 hours

individual studies, 16 weeks per semester, and total 136 hours per semester 4.5 ECTS

Credit Points: 3

Requirements: Introduction to Probability Theory (MAS62111) Learning goals /

competencies:

General Competence (Knowledge):

ILO1 The students are able to master basic scientific concepts and statistical analysis methods applied on computing, social science, humanities, economics, industry and life science.

ILO3 The students are able to manage, analyze, and complete the real case using statistical method on computing, social humanities, economics, industry and life science that helped by software, then present and communicate the results.

ILO5 The students are able to apply logical, critical, systematic, and innovative thinking independently when applied to science and technology that contain humanities values, based on scientific principles, procedures and ethics with excellent and measurable results.

ILO6 The students are able to take appropriate decisions to solve the problems expertly, based on the information and data analysis.

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ILO8 The students are able to apply and internalize the spirit of independence, struggle, entrepreneurship, based on values, norms, and academic ethics of Pancasila in all aspects of life.

Specific Competence:

M1 Students understand the fundamental concept of actuarial science, general purpose of Insurance, the basics of probability theory, expected value and the application in actuarial value calculation. (ILO1, ILO3, ILO5, ILO8)

M2 Students understand the concept of mortality table construction: calculation of each columns and the symbols. (ILO1, ILO3, ILO5, ILO8)

M3 Students understand the definition of annuity, correlation between annuity and interest rate, cash value and final value of annuity. (ILO1, ILO3, ILO5, ILO6, ILO8)

M4 Students understand the concept of calculating actuarial value (premiums, compensation, and

premium reserves) on various types of Life Insurance.

(ILO1, ILO3, ILO5, ILO6, ILO8)

Contents: 1 General review of Actuarial Science and Insurance 2 Probability theory and expected value overview, and

the application in actuarial

3 Construct mortality table: symbol, structure, and the like.

4 Annuity

5 Life Insurance: kinds and premium calculation 6 Premium reserves and adjusted premium reserves 7 Redemption value

Soft skill attribute: Responsible, independently, and discipline

Study/exam achievement: Final score (NA) is calculated as follow: 5% Attitude, 20%

Assignments, 20% Quizzes, 27.5% Midterm Exam, 27.5%

Final Exam

Final index is defined as follow:

A : > 80 – 100 B+ : > 75 – 80 B : > 69 – 75 C+ : > 60 – 69 C : > 55 – 60 D+ : > 50 – 55 D : > 44 - 50

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E : 0 - 44 Forms of media: LCD and Projector

Learning methods: Lecture, assessment, and group discussion

Literature: Main:

1. Sembiring, R. K. 1986. Asuransi I. Karunika, Jakarta.

2. Sembiring, R. K. 1986. Asuransi II. Karunika, Jakarta.

Support:

1. Bowers, N.L., Gerber, H.U., Hickman, J.C., Jones, D.A., and Nesbit, C.J. 1997. Actuarial Mathematics. 2nd Edition.

Casualty Actuarial Society

2. Jordan Jr, C.W., 1967, Life Contingencies: The Society of Actuaries, Chicago, Illionis

3. Larson, R.E & Gaumnitz, E., 1962, Live Insurance Mathematic, John Willey & Sons, Inc

4. Promislow, S. D. 2006. Fundamental of Actuarial Mathematics. John Wiley and Sons, New Jersey.

5. Futami, Takashi. 1993. Matematika Asuransi Jiwa: Bagian I. Incoporated Foundation, Tokyo.

6. Futami, Takashi. 1993. Matematika Asuransi Jiwa: Bagian II. Incoporated Foundation, Tokyo.

Notes:

Referensi

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