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Statistics: Understanding & managing the world we live in
                     Actuarial Sciences
    Alumni Politecnico di Milano  Parigi  22/11/2012
Statistics: Understanding & managing the world we live in : Actuarial sciences




                        What an actuary do in R&A?

                        Deterministic Versus Stochastic

                        Solvency 2, whats this?

                        21/12/2012 Gender directive : the end of gender-based pricing

                        References




                                                          Polimi Parigi 22/11/2012 - R&A  Lionel Texier - Associate director
Statistics: Understanding & managing the world we live in : Actuarial sciences


                  What we do ?

       Implementation, audit & reviews of
        models
       Insurance portfolio analysis & product
        engineering
       Process engineering
       Enterprise Risk Management expertise
       Asset-Liability Management
       Pension & Benefits advisory services
       CRM
       Data Mining
       R&D
       Training




                                                       Polimi Parigi 22/11/2012 - R&A  Lionel Texier - Associate director
Statistics: Understanding & managing the world we live in : Actuarial sciences




                        What an actuary do in R&A?

                        Deterministic Versus Stochastic

                        Solvency 2, whats this?

                        21/12/2012 Gender directive : the end of gender-based pricing

                        References




                                                          Polimi Parigi 22/11/2012 - R&A  Lionel Texier - Associate director
Statistics: Understanding & managing the world we live in : Actuarial sciences


                             Deterministic Versus Stochastic

   Deterministic model : use single best-estimate
    parameters to produce a single best-estimate
    of the probable outcome
   A deterministic calculation assumes that there
    is only one way for the future
   Pros : it is simple
   Cons : Is it always enough & realistic?
   Example : will a 70 years old woman life
    expectancy be the same in 2050 compare to
    2012?
   What will be the yield curve in 5 years? Will it
    be different compare to the current zero
    coupon yield curve?




                                                       Polimi Parigi 22/11/2012 - R&A  Lionel Texier - Associate director
Statistics: Understanding & managing the world we live in : Actuarial sciences


                                      Deterministic Versus Stochastic

                                                            Stochastics models : deliver full probability
                                                             distributions of potential outcomes that include
       A scenario of the death rate surface
                                                             random variable in one or more of the parameters
          Source : http://freakonometrics.blog.free.fr
                                                            A stochastic calculation is the study of a time
                                                             dependent random variable
                                                            Advantage : an exhaustive risk-based approach is
                                                             possible
                                                            Example : how much capital an insurance
                                                             company should hold if we want to prevent its
                                                             failure over the year in 99,5% of the cases ?
                                                            Limits : what happened if the model is wrong? A
                                                             model will always be a simplification of a more
                                                             complex reality? The statistician must never be
                                                             totally confident in the model and at the end, the
                                                             man make the decision




                                                             Polimi Parigi 22/11/2012 - R&A  Lionel Texier - Associate director
Statistics: Understanding & managing the world we live in : Actuarial sciences




                        What an actuary do in R&A?

                        Deterministic Versus Stochastic

                        Solvency 2, whats this?

                        21/12/2012 Gender directive : the end of gender-based pricing

                        References




                                                          Polimi Parigi 22/11/2012 - R&A  Lionel Texier - Associate director
Statistics: Understanding & managing the world we live in : Actuarial sciences


                                    Solvency 2 : whats this?

     What about the European directive                          What should the stakeholders expect of
     2009/138/CE?                                               Solvency 2?
   3 pillars of quantitative and qualitative rules            A standardization of rules accross EU
   A risk-based capital framework and holistic                More transparency and a guarantee of a
    approach : the P&L is a assumed to be a                    better gouvernance
    multivariate random variable                               Early warning in case of trouble
   The Solvency 2 project is in line with Basel 2, it         will S2 be effective during or after the end
    is not applied yet                                         of the crisis
   Insurance companies invest a lot of money to               systemic risk impulsed by S2?
    implement Solvency 2, it is a very big project             an increase of procyclicality for insurance
    for the insurance industry                                 market?
   Despite the Basel 2 system, the banking                    an increase of insurance premium on a
    industry is closed to a catastrophic collapse,             short-middle term even if S2 would impact
    what about Solvency 2?                                     would be positive on the long term view




                                                             Polimi Parigi 22/11/2012 - R&A  Lionel Texier - Associate director
Statistics: Understanding & managing the world we live in : Actuarial sciences


                               Risk-based capital : a risk measure

    Marginal distribution of each random variable                                      Correlation & dependence




                To choose the random variable

                                           To set the parameters
                                                                       What are the correlations
                                                                       between variables?

                To choose the percentile

                                                                      In the standard formula of S2, we
                                       To choose the measure:
                                                                      use the VaR 99,5% over a year,
                                       VaR? TVaR?
                                                                      and we assume a multivariate
                                                                      normal distrubution with linear
                                                                      correlations




                                   For example the required capital should be at least equal to
                                   the 99,5% worst variation of the net asset value over a given
                                   period (1 year for S2)



                                                                        Polimi Parigi 22/11/2012 - R&A  Lionel Texier - Associate director
Statistics: Understanding & managing the world we live in : Actuarial sciences




                        What an actuary do in R&A?

                        Deterministic Versus Stochastic

                        Solvency 2, whats this?

                        21/12/2012 Gender directive : the end of gender-based pricing

                        References




                                                          Polimi Parigi 22/11/2012 - R&A  Lionel Texier - Associate director
Statistics: Understanding & managing the world we live in : Actuarial sciences


                                       Gender Directive
     What about the European directive                    What should the consumers expect of the
     2004/113/CE?                                         Gender Directive?
   The end of gender-based pricing                        Motor insurance premium would increase
   Whatever the change in the pricing strategy of         Death insurance premium would increase
    insurers, IT systems will be impacted by the           Annuity premium would decrease
    different treatment of new business
   Increase of adverse selection, moral hazard &             Motor insurance premium would decrease
    insurance exclusion
                                                              Death insurance premium would decrease
   Risk of change of the market equilibrium,
    potential impact on the socio-economic                    Annuity premium would increase
    consumer behaviour
   Gender-based risk management & marketing is               Redistribution effects
    still possible                                            One-off compliance & marketing costs
   Will unisex insurance pricing be combined with            Gender mix risk premium
    less discrimination on other fields? Not sure




                                                       Polimi Parigi 22/11/2012 - R&A  Lionel Texier - Associate director
Statistics: Understanding & managing the world we live in : Actuarial sciences




                        What an actuary do in R&A?

                        Deterministic Versus Stochastic

                        Solvency 2, whats this?

                        21/12/2012 Gender directive : the end of gender-based pricing

                        References




                                                          Polimi Parigi 22/11/2012 - R&A  Lionel Texier - Associate director
Statistics: Understanding & managing the world we live in : Actuarial sciences


                                               References
     Actuary :                                        R&A:

        http://www.italian-actuaries.org                www.riskandanalysis.com
        http://www.institutdesactuaires.com             Lionel.texier@riskandanalysis.com
        http://www.actuaries.org/
                                                      Cocktail ActuariaCnam 12.12.12:
     European Insurance supervisor :
                                                         http://cocktail-actuariacnam.evenium.net
        https://eiopa.europa.eu/
                                                      Blogs :
     Gender Directive :
                                                         www.techsandtools.com
        http://genderdirective.actuariacnam.net         http://freakonometrics.blog.free.fr
        Official text                                   www.actuariacnam.net

     Solvency 2:                                      Books :
                                                       www.lalibrairieducnam.fr
        http://forumactuariat2011.actuariacnam.net      (please visit the EMS/Assurance/actuariat category )




                                                          Polimi Parigi 22/11/2012 - R&A  Lionel Texier - Associate director
GRAZIE PER LATTENZIONE

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Polimi 20121122 r&a

  • 1. Statistics: Understanding & managing the world we live in Actuarial Sciences Alumni Politecnico di Milano Parigi 22/11/2012
  • 2. Statistics: Understanding & managing the world we live in : Actuarial sciences What an actuary do in R&A? Deterministic Versus Stochastic Solvency 2, whats this? 21/12/2012 Gender directive : the end of gender-based pricing References Polimi Parigi 22/11/2012 - R&A Lionel Texier - Associate director
  • 3. Statistics: Understanding & managing the world we live in : Actuarial sciences What we do ? Implementation, audit & reviews of models Insurance portfolio analysis & product engineering Process engineering Enterprise Risk Management expertise Asset-Liability Management Pension & Benefits advisory services CRM Data Mining R&D Training Polimi Parigi 22/11/2012 - R&A Lionel Texier - Associate director
  • 4. Statistics: Understanding & managing the world we live in : Actuarial sciences What an actuary do in R&A? Deterministic Versus Stochastic Solvency 2, whats this? 21/12/2012 Gender directive : the end of gender-based pricing References Polimi Parigi 22/11/2012 - R&A Lionel Texier - Associate director
  • 5. Statistics: Understanding & managing the world we live in : Actuarial sciences Deterministic Versus Stochastic Deterministic model : use single best-estimate parameters to produce a single best-estimate of the probable outcome A deterministic calculation assumes that there is only one way for the future Pros : it is simple Cons : Is it always enough & realistic? Example : will a 70 years old woman life expectancy be the same in 2050 compare to 2012? What will be the yield curve in 5 years? Will it be different compare to the current zero coupon yield curve? Polimi Parigi 22/11/2012 - R&A Lionel Texier - Associate director
  • 6. Statistics: Understanding & managing the world we live in : Actuarial sciences Deterministic Versus Stochastic Stochastics models : deliver full probability distributions of potential outcomes that include A scenario of the death rate surface random variable in one or more of the parameters Source : http://freakonometrics.blog.free.fr A stochastic calculation is the study of a time dependent random variable Advantage : an exhaustive risk-based approach is possible Example : how much capital an insurance company should hold if we want to prevent its failure over the year in 99,5% of the cases ? Limits : what happened if the model is wrong? A model will always be a simplification of a more complex reality? The statistician must never be totally confident in the model and at the end, the man make the decision Polimi Parigi 22/11/2012 - R&A Lionel Texier - Associate director
  • 7. Statistics: Understanding & managing the world we live in : Actuarial sciences What an actuary do in R&A? Deterministic Versus Stochastic Solvency 2, whats this? 21/12/2012 Gender directive : the end of gender-based pricing References Polimi Parigi 22/11/2012 - R&A Lionel Texier - Associate director
  • 8. Statistics: Understanding & managing the world we live in : Actuarial sciences Solvency 2 : whats this? What about the European directive What should the stakeholders expect of 2009/138/CE? Solvency 2? 3 pillars of quantitative and qualitative rules A standardization of rules accross EU A risk-based capital framework and holistic More transparency and a guarantee of a approach : the P&L is a assumed to be a better gouvernance multivariate random variable Early warning in case of trouble The Solvency 2 project is in line with Basel 2, it will S2 be effective during or after the end is not applied yet of the crisis Insurance companies invest a lot of money to systemic risk impulsed by S2? implement Solvency 2, it is a very big project an increase of procyclicality for insurance for the insurance industry market? Despite the Basel 2 system, the banking an increase of insurance premium on a industry is closed to a catastrophic collapse, short-middle term even if S2 would impact what about Solvency 2? would be positive on the long term view Polimi Parigi 22/11/2012 - R&A Lionel Texier - Associate director
  • 9. Statistics: Understanding & managing the world we live in : Actuarial sciences Risk-based capital : a risk measure Marginal distribution of each random variable Correlation & dependence To choose the random variable To set the parameters What are the correlations between variables? To choose the percentile In the standard formula of S2, we To choose the measure: use the VaR 99,5% over a year, VaR? TVaR? and we assume a multivariate normal distrubution with linear correlations For example the required capital should be at least equal to the 99,5% worst variation of the net asset value over a given period (1 year for S2) Polimi Parigi 22/11/2012 - R&A Lionel Texier - Associate director
  • 10. Statistics: Understanding & managing the world we live in : Actuarial sciences What an actuary do in R&A? Deterministic Versus Stochastic Solvency 2, whats this? 21/12/2012 Gender directive : the end of gender-based pricing References Polimi Parigi 22/11/2012 - R&A Lionel Texier - Associate director
  • 11. Statistics: Understanding & managing the world we live in : Actuarial sciences Gender Directive What about the European directive What should the consumers expect of the 2004/113/CE? Gender Directive? The end of gender-based pricing Motor insurance premium would increase Whatever the change in the pricing strategy of Death insurance premium would increase insurers, IT systems will be impacted by the Annuity premium would decrease different treatment of new business Increase of adverse selection, moral hazard & Motor insurance premium would decrease insurance exclusion Death insurance premium would decrease Risk of change of the market equilibrium, potential impact on the socio-economic Annuity premium would increase consumer behaviour Gender-based risk management & marketing is Redistribution effects still possible One-off compliance & marketing costs Will unisex insurance pricing be combined with Gender mix risk premium less discrimination on other fields? Not sure Polimi Parigi 22/11/2012 - R&A Lionel Texier - Associate director
  • 12. Statistics: Understanding & managing the world we live in : Actuarial sciences What an actuary do in R&A? Deterministic Versus Stochastic Solvency 2, whats this? 21/12/2012 Gender directive : the end of gender-based pricing References Polimi Parigi 22/11/2012 - R&A Lionel Texier - Associate director
  • 13. Statistics: Understanding & managing the world we live in : Actuarial sciences References Actuary : R&A: http://www.italian-actuaries.org www.riskandanalysis.com http://www.institutdesactuaires.com Lionel.texier@riskandanalysis.com http://www.actuaries.org/ Cocktail ActuariaCnam 12.12.12: European Insurance supervisor : http://cocktail-actuariacnam.evenium.net https://eiopa.europa.eu/ Blogs : Gender Directive : www.techsandtools.com http://genderdirective.actuariacnam.net http://freakonometrics.blog.free.fr Official text www.actuariacnam.net Solvency 2: Books : www.lalibrairieducnam.fr http://forumactuariat2011.actuariacnam.net (please visit the EMS/Assurance/actuariat category ) Polimi Parigi 22/11/2012 - R&A Lionel Texier - Associate director