Faculdade de Ciências e Tecnologia

Life Insurance

Code

10806

Academic unit

Faculdade de Ciências e Tecnologia

Department

Departamento de Matemática

Credits

6.0

Teacher in charge

Gracinda Rita Diogo Guerreiro

Weekly hours

4

Total hours

62

Teaching language

Português

Objectives

The main objectives are based in the “Core Syllabus for Actuarial Training in Europe” proposed by the  “Groupe Consultatif des Associations D’Actuaires des Pays des Communautes Europeennes”. Firstly the students are supposed to get knowledge about financial mathematics, which are needed to solve actuarial mathematics problems. Then, the students study mortality models. Finally, the students obtain knowledge concerning some mathematic models particular important in life insurance, health insurance and pension funds.

Prerequisites

The students should be provided with knowledge about calculus, numerical analysis, and probabilities and statistics.

Subject matter

  1. Review of Financial calculus
  2. Mortality
  3. Annuities
  4. Life insurance

Bibliography

Barroso, M. de Nazaré;. Couto, Eduardo; Crespo, Nuno. Cálculo e instrumentos Financeiros: da prática para a teoria, Escolar editora 2008

Bowers, Newton, Gerber, Hickman, Jones and Nesbitt. Actuarial mathematics (second edition). Itasca, Illinois: The Society of Actuaries, 1997.

Dickson, D.C.M., Hardy, M.R. and Waters, H.R.. Actuarial Mathematics for Life Contingent Risks. Cambridge University Press, 2009

Garcia, J.A. e Simões, O.A.. Matemática Actuarial: Vida e Pensões. Almedina. 2010

Gerber, Hans U. Life insurance mathematics (third edition). Springer-Verlag, Berlin, 1997.

McCutcheon, J. and Scott, W. An Introduction to the Mathematics of Finance. The Institute of Actuaries and the Faculty of Actuaries, 1998.

Neill, A. Life contingencies. Butterworth-Heinemann, Oxford, 1992.

Silva, A. Matemática das Finanças. Vol I. McGraw-Hill, 1995

Teaching method

The subjects to study are exposed in an oral way, motivating by this way the students to study by themselves and simultaneously some points of interest are referred. Then the students are asked to work out the proposed exercises and all the doubts concerning these exercises are then discussed. The lectures are in a computer laboratory and the proposed exercises are worked out using computational tools.

Evaluation method

  1. Evaluation by tests
      a. The assesment by tests is composed of four tests.
      b. Let T1,T2 and T3 the grades obtained in each test, by cronological order.
      c. Let NT=(T1+T2+T3)/3
      d. The student succed if T3>=7.0 and NT>=9.5
  2. Evaluation by exam
      a. Any student enrolled in this course can be evaluated by exam
      b. The student succed if the grade obtained is >=9.5
  3. Examination:
      a. Each test is written, individual and with consultation of a form, if it is needed. 
      b. Each test is evaluated of 0 the 20 values, with rounding to tenth. 
      c. It does not have daily pay-registration in the tests. 
      d. It is necessary to take a notebook, calculator  and a document of identification with photograph (e.g., Identity or Student cards) to the examination.
      e. Any fraud implies to fail.

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