Principles of Scenario Planning Under Solvency II. George Tyrakis Solutions Specialist

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Principles of Scenario Planning Under Solvency II George Tyrakis Solutions Specialist George.Tyrakis@Moodys.com

Agenda» Overview of Scenarios» Parallels between Insurance and Banking» Deterministic vs. Stochastic scenarios» Best Practices for Insurers» Stylized facts» Sources of information: data & expert judgement» Informational weighting schemes and data» Stochastic Economic Scenario Generators» Practical Applications & Challenges» Use of scenarios for economic capital beyond regulation» Challenges faces with implementing scenario-based solutions» Conclusions & Questions

Overview of Scenarios Principles of Scenario Planning Under Solvency II

Stress Testing Parallels: Insurance & Banking Banking Comprehensive Capital Analysis and Review & Dodd-Frank» One or several extreme but plausible adverse scenarios» Assess expected impact of scenarios on the firm s capital and liquidity positions» Stress tests can be:» Bank-wide or specific areas» Top-down or bottom up» Used across the bank: ALM, planning, credit risk, liquidity risk» Useful to consider the methodologies used by banks in the context of Insurance:» Multi-period stress testing» Multi-period capital projection» Multi-period business planning

Stress Testing Parallels: Insurance & Banking Insurance - Solvency II Own Risk and Solvency Assessment (ORSA) How capital requirements (regulatory, economic, ratings) progress over time across a range of scenarios.» ORSA is emerging as a global regulatory standard» Pillar II of EU Solvency II» US and Canada have each proposed ORSA frameworks for 2014 implementation» Core part of International Association of Insurance Supervisors (IAIS) Common Framework» ORSA implementation approaches may have local differences, but in all cases they require insurance firms to make assessments of their current and future solvency capital requirements.

Generating Multi-Timestep Macro Stress Scenarios Non-prescriptive nature of ORSA means firms can select between deterministic and stochastic scenarios to project their business. Deterministic Scenarios Management can prescribe outcomes directly Scenario probabilities are estimated Stochastic Scenarios Capture a wide range of outcomes Probabilistic measure of outcomes Not overly complex to create and run Computationally intensive esp. where liabilities include options & guarantees NAIC: A firm s own specific set of risk exposures should drive identification of relevant stress tests

Percentile Developing Stress Test Scenarios for Multi-Timestep Solvency Projections» 5-year paths projected for Protracted Slump (Scenario 4) 100% 90% 80% 70% 60% 50% 40% 30% 20% 10% 0% B&H Economic Scenario Generator Macroeconomic Scenario 4 0.50 0.75 1.00 1.25 1.50 1.75 2.00 2-year S&P 500 Total Return Index» MA has experience in developing macro-economic stress test scenarios for applications such as bank stress testing» MA ESG can be used to validate the probabilistic strength of these scenarios

Stochastic Economic Scenario Generator The ESG uses Monte Carlo Simulation to generate thousands of simulations of risk factors across multiple time periods. Example: 10-year Spot Rate Projected over 5 years Simulation 4

Stochastic Economic Scenario Generator The ESG uses Monte Carlo Simulation to generate thousands of simulations of risk factors across multiple time periods Example: 10-year Spot Rate Projected over 5 years Simulation 348

Stochastic Economic Scenario Generator The ESG uses Monte Carlo Simulation to generate thousands of simulations of risk factors across multiple time periods Example: 10-year Spot Rate Projected over 5 years Simulation 9

Best Practices for Insurers Principles of Scenario Planning Under Solvency II

Stylised Facts & Data Goal is to produce realistic and justifiable projections of financial and macroeconomic variables. Use all credible historical data, market expectations via options and expert judgement. Our approach involves 3 main activities: 1) Developing and documenting a set of stylized facts and beliefs. 2) Use these to select/build/structure, calibrate and validate models. 3) Look at real world markets to validate and review the stylized facts and models. These are all ongoing activities:» Frequent calibration» Regular Real World Target updates and methodology reviews

Weighting Schemes & Data Calibration is an art» Subjectivity in: data sources, data policies, weighting, judgement Goal is to produce realistic and justifiable projections of financial and macroeconomic variables. Use all credible data available:» Combine with market data of expectations: e.g. option implied volatility, consensus data» Filter and clean data: liquidity of instruments, depth of market» Exponentially-weighted moving average ensures more weight is placed on recent observations» Consistency across asset classes

Models & Calibrations Interest Rates Vasicek Black-Karasinski Cox-Ingersoll-Ross Libor Market Model Multi Factor, Stochastic Volatility, arbitrage free Equity Indices Time varying deterministic volatility Stochastic Volatility Jump Diffusion Constant Volatility Tail correlation, log normal returns, flexible correlation, volatility, and returns And others for credit, inflation, exchange rates, MBS, derivatives etc. All models documented in academic literature and MA research papers

1-year VaR (TOTAL) Stochastic Economic Scenario Generator 40 35 Historic Analysis & Expert Judgement Equity Returns Property Returns Alternative Asset Returns (eg commodities) Corporate Bond Returns 25 20 15 10 5-30 Establish economic targets for factors of Interest: Interest rates Equity Credit Correlations Alternatives Initial swap and government nominal bonds Credit risk model Real-economy; GDP and real wages Nominal short rate Simulate joint behaviour Nominal of minus risk factors Exchange rate real is inflation (PPP or Interest (yield cexpectations rate parity) Simulate joint behaviour of risk factors Real short rate (yield c Realised Inflation and Foreign nominal Simulate joint behaviour alternative of inflation risk factors short rate and rates (i.e Medical) inflation (yield c Simulate joint behaviour of risk factors (yield c Index linked government bonds Multiple Time Steps Multiple Economies Correlations Stochastic Models Calibrate Establish model parameters to meet targets Choose models that will best represent the risk factors and the specific modelling problem. Visualise Output Validation Communication

Practical Applications & Challenges Principles of Scenario Planning Under Solvency II

1-Year Value at Risk Pillar I requirement is to calculate a 1-year Value at Risk at the 99.5 th percentile (1 in 200 year loss) on the balance sheet. Insurers need to ensure that they have adequate capital resources» How much capital does the insurance company need to hold today for there to be an X% probability that this capital will be sufficient to fund all liability cashflows? Value at Risk:» Does the company have sufficient capital to survive a 1/200 year event in the next year e.g. asset values drop or many claims are made? Distribution of Capital 0.05% of outcomes lie below this point

Projecting the Balance Sheet Problems: Calculation is prescriptive & subjective Point In Time vs. Through The Cycle Model challenges Frequency Time taken to calculate Value-add: Regulatory vs. economic Communication

Beyond Regulation: ORSA» Modelling requirements of ORSA could be considered in three categories:» Backward-looking Analysis of annual change in Pillar 1 regulatory reserves» Current-looking Real-time monitoring of Pillar 1 regulatory capital requirements Own assessment of current solvency capital requirements» Forward-looking Multi-timestep forward projection of solvency capital requirements (regulatory capital and / or economic capital)» Companies should not miss the opportunity to maximise the benefits of ORSA for both regulatory and economic capital

Insurers Require Modular & Flexible Solutions Core Source Systems Policy Systems Claims Systems Market Data Investment Systems /Managers Finance/GL Systems Data Load Data Quality Validations Reconciliation Approvals Audit/Lineage Analytical Repository Actuarial Data Analytical Repository Finance Data Risk Data Investment Data Aggregation SCR calculation Engine Management Reports KPIs, Dashboards Solvency II QRTs SFCR RSR ORSA Use Test Business Decision Making Operational Data Stores Analytical Data Model Actuarial Engines Proxy Functions Economic Capital Balance Sheet Forecasting Internal Model MoSes Prophet Credit Risk Igloo ReMetrica Default Risk ESG Files

Conclusions & Questions Principles of Scenario Planning Under Solvency II

Conclusions & Questions» Insurers can learn from Bank stress testing practices and there are strong parallels.» Insurers using stochastic scenarios can validate these using deterministic scenarios for ORSA purposes.» Insurers & Banks using deterministic stresses can benchmark these against stochastic distributions produced by an ESG.» The choice a firm makes to use deterministic vs. stochastic scenarios depends on risk management strategy ORSA is flexible in this way.» Scenario generation is a key component of the ORSA and companies can extract significant value from the process.» Pillar I requirement is to calculate a 1-Year VaR, insurers should not miss the opportunity to make maximum use of this opportunity.» ORSA solutions exist and the architecture is flexible enough to meet changing business requirements over time.