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Michel Rochette, MBA, FSA, PhD Student
   2010 Valuation Actuary Symposium
                Chicago
          September 21th 2010
Topics
  Purpose and principles of any capital framework
  Modelling issues:
    Diversification: correlation assumptions
    Stress testing
  Management implications:
    Use test and ORSA
    Capital types and liquidity
  Emerging issues


09/21/2010                                      Enterprise Risk Advisory LLC
Purpose of an EC framework
  ¨ Risk management system of an insurer for the
   analysis of the overall risk situation of the insurance
   undertaking, to quantify risks and determine the
   capital requirement on the basis of the company
   specific risk profile¨ CEA Groupe Consultatif
  Required capital is assessed in light of:
       available capital & other financial resources
       enterprise risk management processes
       strategic goals & risk appetite
       regulatory requirements

09/21/2010                                              Enterprise Risk Advisory LLC
Principles: EC Development
  All material risks should be covered: links to ERM and emerging risks
  Models must be appropriate for the scale and complexity of the firm
  Models must be dynamic and flexible
  Models must be embedded in the financial, strategic and operational
   processes: Use Test in Solvency II
  Governance of models development:
     Board/top management oversight and involvement
       documentation of models, limitations & changes
       internal controls over development: auditable
       independent review: More than peer review
  Others:
     consistency between valuation and EC models: valuation framework
     input data verifiable and controllable
     validation and calibration


09/21/2010                                                Enterprise Risk Advisory LLC
Correlation: Proposals
  Correlations exist at different levels:
     (CRO Forum, Dec. 2009, QIS5)
                 Some risk factors      Corr. Coefficients
                 Equity/IRR             50%(D)/0%(U)
                 FX/IRR                 25%
                 Default/Equity         25% CROF,QIS4
                                        75% QIS5
                 Default/IRR            50%(D)/0%(U)


       Between legal entities for Solvency II: zero because of
             the non-fungibility of capital and the non recognition of
             group capital support
09/21/2010                                                   Enterprise Risk Advisory LLC
Correlation: Crisis Dependent
       According to a 2009 Pimco study:

             Correlation to S & P 500   Corr elation   Correlation
                                        Early 90s      Early 2008

             S & P 500                  1              1
             High-Yield Bonds           20% -30%       80%

             International stocks       30% -40%       70%

             Real Estate                30%            60% -70%
             Commodities                0%             -20% -30%


09/21/2010                                                           Enterprise Risk Advisory LLC
Correlation: Implications
  In times of crisis, negative correlation benefit between
   asset classes disappears.
  “When people start buying an asset, the act of them
   diversifying ultimately makes the asset less of a diversifier .”
   Pimco’s Head of analytics
  Rule: total diversification benefit should not be above 30%
                Solvency II QIS4: 31%
                CROF: 21%
                Swiss Solvency Test: 24%
  Ultimately, correlation assumptions should determined
     by linking back to your own company’s ERM processes.
09/21/2010                                            Enterprise Risk Advisory LLC
Stress Testing: Complimentary
Approach
  Regulatory Approach:
     QIS5 risk shocks by type of risk:
                Some examples:
                Global Equity: 39% & volatility Up: 10% additive
                Property: 25%, low compared to recent US experience!
                Spread Widening, AA-rated, 4yr: 10.4%
  Management Approach:
    Prospective scenario modelling with a top down approach
    Historical perspective:
                Ex. 2008 credit crunch
                Similar risk events at other firms, in other industries

09/21/2010                                                                 Enterprise Risk Advisory LLC
Management Implications of EC:
Use it!
  Investment decisions: existing and new
  Product development
  Strategic decisions: probably the most important of all
  Corporate finance decisions: financial leverage
  Hedging strategies: use it within the treasury
   department
  Solvency II regulatory proposal:
       “…widely used and plays an important role in the course
             of conducting an insurer's regular business, particularly
             in risk management. "

09/21/2010                                                Enterprise Risk Advisory LLC
Solvency II ORSA & EC
  Pillar II requirement: Own Risk & Solvency Assessment
  Goal is to demonstrate “sound and prudent management of the
   business and assess overall solvency needs.”
  In other words, is risk management – including EC – aligned
   with your strategies and internal risk and control processes?
   Demonstrate that!
  Useful references:
       Bermuda Monetary Authority: “Opportunity to align management
        and regulatory reporting & encourage sound risk management
        practices within the jurisdiction.”
       CEIOPS: Preliminary views on the definition and importance of the
        ORSA as a management tool, requirements and guidance:
                Alignment of risk profile, risk tolerance, risk strategy

09/21/2010                                                                  Enterprise Risk Advisory LLC
Capital and Liquidity of EC
  Types of required capital: expressed in Tiers in Solvency II
     Tier 1: most secure and liquid, permanent
                shareholder’s equity and inforce cash flows
       Tier 2: revaluation reserves, general provisions, hybrid like
        instruments and subordinated term debt, callable equity,
        group support, letters of credit, unpaid shares, Max. 50%
       Tier 3: Hybrid capital, subordinated loans, Max. 15%
  Liquidity
     New explicit requirement since the 2008 crisis
     The insurance industry should be concerned about assessing
      explicitly liquidity risk and liquid capital instead of trying to
      do it indirectly through the debate over liquidity premium in
      valuation reserves. Not in line with best EC/ERM practices.

09/21/2010                                                     Enterprise Risk Advisory LLC
EC Emerging Risk: Systemic risk
  “The risk of disruption to the flow of financial services that is (i)
     caused by an impairment of all or parts of the financial system; and (ii)
     has the potential to have serious negative consequences for the real
     economy.“ (IMF)
    “Treat systemic risk as an emerging risk” Dave Ingram, SVP Willis Re
    Some insurers are already considered “ systematically relevant
     institutions”: Aegon, Allianz, Aviva, Axa, Swiss Re and Zurich, not any
     US insurer? (Financial Stability Board)
    "Most insurers will be impacted by systemic risks, but only a few
     insurers can contribute to creating systemic risk" - Dr Shaun Wang
    Does insurance create systemic risk?
       Emerging consensus is NO
       But insurance business will be impacted by systemic risk events.
         (Bennett, AAA)



09/21/2010                                                      Enterprise Risk Advisory LLC

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Introduction to economic capital

  • 1. Michel Rochette, MBA, FSA, PhD Student 2010 Valuation Actuary Symposium Chicago September 21th 2010
  • 2. Topics  Purpose and principles of any capital framework  Modelling issues:  Diversification: correlation assumptions  Stress testing  Management implications:  Use test and ORSA  Capital types and liquidity  Emerging issues 09/21/2010 Enterprise Risk Advisory LLC
  • 3. Purpose of an EC framework  ¨ Risk management system of an insurer for the analysis of the overall risk situation of the insurance undertaking, to quantify risks and determine the capital requirement on the basis of the company specific risk profile¨ CEA Groupe Consultatif  Required capital is assessed in light of:  available capital & other financial resources  enterprise risk management processes  strategic goals & risk appetite  regulatory requirements 09/21/2010 Enterprise Risk Advisory LLC
  • 4. Principles: EC Development  All material risks should be covered: links to ERM and emerging risks  Models must be appropriate for the scale and complexity of the firm  Models must be dynamic and flexible  Models must be embedded in the financial, strategic and operational processes: Use Test in Solvency II  Governance of models development:  Board/top management oversight and involvement  documentation of models, limitations & changes  internal controls over development: auditable  independent review: More than peer review  Others:  consistency between valuation and EC models: valuation framework  input data verifiable and controllable  validation and calibration 09/21/2010 Enterprise Risk Advisory LLC
  • 5. Correlation: Proposals  Correlations exist at different levels:  (CRO Forum, Dec. 2009, QIS5) Some risk factors Corr. Coefficients Equity/IRR 50%(D)/0%(U) FX/IRR 25% Default/Equity 25% CROF,QIS4 75% QIS5 Default/IRR 50%(D)/0%(U)  Between legal entities for Solvency II: zero because of the non-fungibility of capital and the non recognition of group capital support 09/21/2010 Enterprise Risk Advisory LLC
  • 6. Correlation: Crisis Dependent  According to a 2009 Pimco study: Correlation to S & P 500 Corr elation Correlation Early 90s Early 2008 S & P 500 1 1 High-Yield Bonds 20% -30% 80% International stocks 30% -40% 70% Real Estate 30% 60% -70% Commodities 0% -20% -30% 09/21/2010 Enterprise Risk Advisory LLC
  • 7. Correlation: Implications  In times of crisis, negative correlation benefit between asset classes disappears.  “When people start buying an asset, the act of them diversifying ultimately makes the asset less of a diversifier .” Pimco’s Head of analytics  Rule: total diversification benefit should not be above 30%  Solvency II QIS4: 31%  CROF: 21%  Swiss Solvency Test: 24%  Ultimately, correlation assumptions should determined by linking back to your own company’s ERM processes. 09/21/2010 Enterprise Risk Advisory LLC
  • 8. Stress Testing: Complimentary Approach  Regulatory Approach:  QIS5 risk shocks by type of risk:  Some examples:  Global Equity: 39% & volatility Up: 10% additive  Property: 25%, low compared to recent US experience!  Spread Widening, AA-rated, 4yr: 10.4%  Management Approach:  Prospective scenario modelling with a top down approach  Historical perspective:  Ex. 2008 credit crunch  Similar risk events at other firms, in other industries 09/21/2010 Enterprise Risk Advisory LLC
  • 9. Management Implications of EC: Use it!  Investment decisions: existing and new  Product development  Strategic decisions: probably the most important of all  Corporate finance decisions: financial leverage  Hedging strategies: use it within the treasury department  Solvency II regulatory proposal:  “…widely used and plays an important role in the course of conducting an insurer's regular business, particularly in risk management. " 09/21/2010 Enterprise Risk Advisory LLC
  • 10. Solvency II ORSA & EC  Pillar II requirement: Own Risk & Solvency Assessment  Goal is to demonstrate “sound and prudent management of the business and assess overall solvency needs.”  In other words, is risk management – including EC – aligned with your strategies and internal risk and control processes? Demonstrate that!  Useful references:  Bermuda Monetary Authority: “Opportunity to align management and regulatory reporting & encourage sound risk management practices within the jurisdiction.”  CEIOPS: Preliminary views on the definition and importance of the ORSA as a management tool, requirements and guidance:  Alignment of risk profile, risk tolerance, risk strategy 09/21/2010 Enterprise Risk Advisory LLC
  • 11. Capital and Liquidity of EC  Types of required capital: expressed in Tiers in Solvency II  Tier 1: most secure and liquid, permanent  shareholder’s equity and inforce cash flows  Tier 2: revaluation reserves, general provisions, hybrid like instruments and subordinated term debt, callable equity, group support, letters of credit, unpaid shares, Max. 50%  Tier 3: Hybrid capital, subordinated loans, Max. 15%  Liquidity  New explicit requirement since the 2008 crisis  The insurance industry should be concerned about assessing explicitly liquidity risk and liquid capital instead of trying to do it indirectly through the debate over liquidity premium in valuation reserves. Not in line with best EC/ERM practices. 09/21/2010 Enterprise Risk Advisory LLC
  • 12. EC Emerging Risk: Systemic risk  “The risk of disruption to the flow of financial services that is (i) caused by an impairment of all or parts of the financial system; and (ii) has the potential to have serious negative consequences for the real economy.“ (IMF)  “Treat systemic risk as an emerging risk” Dave Ingram, SVP Willis Re  Some insurers are already considered “ systematically relevant institutions”: Aegon, Allianz, Aviva, Axa, Swiss Re and Zurich, not any US insurer? (Financial Stability Board)  "Most insurers will be impacted by systemic risks, but only a few insurers can contribute to creating systemic risk" - Dr Shaun Wang  Does insurance create systemic risk?  Emerging consensus is NO  But insurance business will be impacted by systemic risk events. (Bennett, AAA) 09/21/2010 Enterprise Risk Advisory LLC