Teaching plan for the course unit

 

 

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General information

 

Course unit name: Insurance Statistics

Course unit code: 363687

Academic year: 2025-2026

Coordinator: Miguel Angel Santolino Prieto

Department: Department of Econometrics, Statistics and Applied Economics

Credits: 6

Single program: S

 

 

Estimated learning time

Total number of hours 150

 

Face-to-face and/or online activities

60

 

-  Lecture with practical component

Face-to-face

 

45

 

-  Problem-solving class

Face-to-face

 

15

Supervised project

40

Independent learning

50

 

 

Competences / Learning outcomes to be gained during study

 

   -

To be able to use ICT in professional practice.

   -

To draw up, analyse and use internal and external accounting and financial information to control management and decision-making processes.

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To be able to make financial and business decisions, taking into account the current economic situation.

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To use basic quantitative methods and instruments to obtain and analyse company information and its socioeconomic environment, in accordance with the characteristics of the available information.

Learning objectives

 

Referring to knowledge

― Know the basics of statistical analysis used in life and general insurance. Specifically, learn the statistical tools needed to analyse the design of pension systems (public and private) and the pricing of life and general insurance.

― Model mortality rates and number of claims (relevance by differences in sex and gender).

 

 

Teaching blocks

 

1. Introduction to the biometric model in the life branch

1.1. Definition and objectives

1.2. The relevance of the model in the economic and social field: pensions and life insurance

1.3. Model hypothesis

1.4. Biometric variables

1.5. Introduction to the instantaneous mortality rate

1.6. Life tables

2. Discrete probabilities of survival and death

2.1. Cohort function

2.2. Mortality function

2.3. Annual, temporary and deferred probabilities

2.4. Life expectancy at birth

2.5. Life expectancy at a certain age

3. Discrete probability distributions for groups

3.1. Probability of joint survival

3.2. Probability of dissolution and extinction of the group

3.3. Complementary probabilities

3.4. Calculation of deferrals and temporalities

3.5. Generalizations to more than two individuals

4. Modelling in the non-life branch

4.1. Random variables

4.2. Basic characteristics of the distribution

4.3. Moment-generating function

4.4. Modification of coverages

5. Modelling number of claims

5.1. Binomial distribution

5.2. Poisson distribution

5.3. Negative binomial distribution

5.4. Class (a,b,0)

6. Model estimation and selection

6.1. Estimation methods

6.2. Hypothesis testing

6.3. Model selection

 

 

Teaching methods and general organization

 

Two types of theoretical and practical classes are taught:

  • Resolution of applied cases and exercises
  • Resolution of practical situations using a computer

 

 

Official assessment of learning outcomes

 

Continuous assessment

The continuous assessment consists of solving exercises during the semester, where in some cases the solution is done with gamification techniques via Kahoot! or Socrative. The submission of exercises takes place at two points during the semester: the first one by the end of March and the second at the end of the course. The final grade is the weighted average between the grades of the two activities that make up the continuous assessment. The weighting of each activity is determined according to the weight of the block assessed in relation to the whole subject contents.

The qualification criteria basically focus on:
1) Solving capacity of the proposed exercises.
2) Analytical capacity and interpretation of results.

All activities must be passed for the final grade to be calculated. If the student does not pass one of the continuous assessment assignments, they must sit the subject’s final examination to pass this activity and make an average.

 

Examination-based assessment

The single assessment consists of solving a set of theoretical and practical exercises.

There is no requirement for students to be eligible to sit the repeat assessment. Therefore, any student who has not previously passed the subject (whether failed or absent) may sit the repeat assessment. The repeat assessment takes the same structure as the single assessment examination and does not entail any discrimination with respect to the continuous assessment or the single assessment in relation to the maximum grade that can be obtained.

 

 

Reading and study resources

Check availability in Cercabib

Book

AYUSO, Mercedes; CORRALES, H.; GUILLÉN, M.; PÉREZ-MARÍN, A.M.; ROJO, J.L. Estadística Actuarial Vida. 2ª ed. Barcelona: Edicions Universitat de Barcelona, 2007

Catāleg UB  Enllaç

BEARD, R.E.  Risk theory : the stochastic basis of insurance.  3a. ed.  London: Chapman and Hall, 1990

Catāleg UB  Enllaç

BÜHLMANN, Hans. Mathematical methods in risk theory.  Berlin: Springer, 1996

Catāleg UB  Enllaç

DURA, José María.  Fundamentos de estadística : estadística descriptiva y modelos probabilísticos para la inferencia. Barcelona: Ariel, 1988

Catāleg UB  Enllaç

HOSSACK, I.B. Introducción a la estadística con aplicación a los seguros generales. Madrid: Ed. Mapfre, 2001

Catāleg UB  Enllaç

HOSSACK, I. B.  Introductory statistics with applications in general insurance.  Cambridge: Cambridge Univ. Press, 2003

Catāleg UB  Enllaç

KLUGMAN, Stuart A.  Loss models : from data to decisions.  New Jersey: Ed. Wiley, Third Edition, 2008.

Catāleg UB  Enllaç

LOPEZ CACHERO, Manuel. Estadística para actuarios. Madrid : MAPFRE, 1996

Catāleg UB  Enllaç

LÓPEZ CACHERO, Manuel. Fundamentos y métodos de estadística. Madrid: Pirámide, 1993

Catāleg UB  Enllaç

SARABIA, J.M., GÓMEZ, E., VÁZQUEZ-POLO, F.J. Estadística actuarial : teoría y aplicaciones. Madrid: Pearson Prentice Hall, 2007

Catāleg UB  Enllaç

SZABO, Fred. Actuaries’ Survival Guide. How to succeed in one of the most desirable professions. 2ª Ed. Academic Press-Elsevier, 2013

Catāleg UB  Enllaç