Session 026 IF - Model Risk Management. Moderator: Yimin Yang. Presenters: George Alvites Charlie Anderson, Ph.D. Gang Ma, FSA

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Session 026 IF - Model Risk Management Moderator: Yimin Yang Presenters: George Alvites Charlie Anderson, Ph.D. Gang Ma, FSA SOA Antitrust Compliance Guidelines SOA Presentation Disclaimer

Model Risk Management Insurance Practices Presented by: George Alvites

Agenda 1. Audience Profile 2. Enterprise View to Model Risk 3. Focus of Insurance Practices: - Assumptions - Documentation - Independent Validation This is a journey, not a race

Enterprise View to Model Risk Model Risk Framework Examples of Key Processes Governance Risk Management Identification - Inventory Design, Development, Implementation, Use I. Methodology Design II. Assumptions Policy and Procedures Roles & Responsibilities Risk Assessment III. Development Life Cycle IV. Documentation Awareness (Training) Independent Validation V. Ongoing Monitoring VI. Change Management Project Management Oversight & Reporting Huge effort, big reward, long journey

Assumptions Practices Identification & Processes - Assumptions link to Model Inventory & Purpose - Key data elements (sound research; methodology rationalization) - centralization of common assumptions - Challenge forum: independent team or formal oversight committees Risk Assessment - Uncertainty: relevance of data vs. judgment - Sensitivity analysis and impact assessment Risk Management - Effective oversight and challenge - Change management - Outcome analysis reperformance; benchmarking; analytics - Long term enterprise sensitivity analysis Challenges - Interconnectedness: other assumptions: economic, investment, consistency of forecasting - Strategic: enterprise view of key data elements (consistency, accuracy, timeliness) - Operational: implementation practices Strategic Risk - Decision making facilitated by Assumption Management

Documentation Practices Key Elements Inputs, Assumptions, Calculation, Output - Intended use; model methodologies - Model testing, uncertainties; limitations - Conservatism: compensating controls - Controls to assess sensitivity analysis; - Interconnectedness risk upstream and downstream. - Output review controls (backtesting, benchmarking, overrides management) - Model findings risk ranked and materiality assessment Objectives - Sufficient content for model functionality - Risk based commensurate with inherent risk and model risk profile - Replicability principle Challenges - Version control model code - Consistency standardized documentation - Independent challenge review - Cost vs. benefit: implementation effort Documentation creates an environment of sustainability

Independent Validation Practices Structure - Independent reviewers SR 11-7 also requires competence and incentives - Evaluation of conceptual soundness and implementation testing - Ongoing monitoring plan detective vs. preventative (change management, changes in products, adjustments, redevelopment, benchmarking, override management) - Outcome analysis (comparison of outputs to expected outcomes or range or outcomes; statistical tests or quantitative measures, expert judgement/overrides testing, assumption sensitivity testing) Challenges - SR 11-7 expertise is limited in Insurance industry. - Competition for talent within regulated entities (Limited PhDs and FSAs) - Cost vs. benefits: Cost to maintain effective independent program. Benefits seen over time. - Timing of compliance with requirements. - Cultural shift from traditional collaborative review to independent risk. - Risk profile and learning curves are steep Validation Processes Creates Effective ERM over time

Model Risk Management in Insurance Investment Management 2017 SOA Annual Meeting & Exhibit Session 26: Model Risk Management Gang Ma, PhD, FSA, CFA, FRM VP, Investment Risk Management and Quantitative Analysis RGA Reinsurance Company/St. Louis/Investments Oct 16, 2017

Overview of Investment Models

Models for Insurance Investment Management Functions Models Inputs/Assumptions General Management Investment planning A/L cash flow projections, expected trading activities, yield forecast, FX forecast Portfolio Management Cash flow projection Asset allocation Vary by assets Returns or yields, risks, correlations, constraints such as duration, convexity, capital Investment Performance Trading Total return Total return attribution Investment income attribution Security valuation (Bloomberg, broker, proprietary valuation models) CFA Institute's GIPS methodologies Methodologies to attribute excess return over benchmark to asset allocation/trading and relative risk positioning (e.g. duration) Lack commonly accepted methodology Security attributes, secondary models Lending Underwriting, return/risk analysis Attributes of the borrower or the investment opportunity Investment Risk Management Investment Accounting Credit rating WARF C1 capital (credit risk) Credit VaR, Conditional Credit VaR Market/credit sensitivities Liquidity Stress testing Asset valuation Investment income Quantitative/qualitative analyses of the issuer or the borrower Ratings along with a mapping methodology Prescribed factors or company's own models Credit loss distributions, correlations Security valuation models Estimates of liquidity demand and supply Scenarios, market shocks, correlations Mark to model based on the observable market price of comparable (Level 2); No observable market prices (Level 3) Accounting principles 3

Nature and Challenges of Investment Models Nature of Investment Models Most investment models are external Challenges External models may lack transparency and end-user control. Access to external models may be limited due to license cost One model may depend on one or several other models Complex modeling structure, ripple effect Investment models could be highly technical Modeling results could be misinterpreted or misused if not carefully communicated or fully understood Investment decisions based on modeling results could have an immediate financial impact Some investments require long-term commitment. The long-term financial impact of an investment may not be fully known in the near term 4

Examples of Investment Model Risks

Ratings of New Bonds Do Not Vary With Maturities 1 Sector Company Rank Coupon Issuance Date Maturity Date Year to Maturity Moody's Rating at Issuance S&P Rating at Issuance AUTO GM Sr Unsecured 4.20 08/02/2017 10/01/2027 10 Baa3 BBB AUTO GM Sr Unsecured 5.40 08/02/2017 04/01/2048 30 Baa3 BBB ENERGY BP CAPITAL Sr Unsecured 1.77 09/14/2017 09/19/2019 2 A1 A- ENERGY BP CAPITAL Sr Unsecured 3.28 09/14/2017 09/19/2027 10 A1 A- P&C ALLSTATE Sr Unsecured 3.28 12/01/2016 12/15/2026 10 A3 A- P&C ALLSTATE Sr Unsecured 4.20 12/01/2016 12/15/2046 30 A3 A- RETAIL AMAZON Sr Unsecured 1.90 08/15/2017 08/21/2020 3 Baa1 AA- RETAIL AMAZON Sr Unsecured 4.05 08/15/2017 08/22/2047 30 Baa1 AA- RETAIL COSTCO Sr Unsecured 2.30 05/09/2017 05/18/2022 5 A1 A+ RETAIL COSTCO Sr Unsecured 3.00 05/09/2017 05/18/2027 10 A1 A+ TECHNOLOGY APPLE Sr Unsecured 1.50 09/05/2017 09/12/2019 2 Aa1 AA+ TECHNOLOGY APPLE Sr Unsecured 3.75 09/05/2017 09/12/2047 30 Aa1 AA+ Same credit rating for shorter- and longer-term corporate bonds at issuance because of the comparable expected credit losses modeled A longer-term credit outlook is inherently less certain, in particular for the fast evolving sectors. To what extent do the ratings reflect this? 1. Data from Bloomberg 6

Credit Loss Charges vs. Actual Impairments Insurance companies use credit loss charges for various applications including cash flow testing, asset adequacy analysis, investment relative value analysis, and deal pricing Insurance companies may assess credit loss charges based on rating migration, default, and recovery data 1 How do your company s credit loss charges compare with the actual impairments? Annual Impairment of Bonds (bps) Year Median of Sample Insurance Companies* 2007 13 2008 130 2009 95 2010 30 2011 22 2012 14 2013 6 2014 2 2015 6 2016 7 Average 2007-2016 36 Volatility 2007-2016 46 Average 2010-2016 13 Volatility 2010-2016 11 * Data based on companies' 10K 1. Annual Default Study: Corporate Default and Recovery Rates, 1920-2016, Moody s, 15 February 2017 7

12/8/97 12/8/98 12/8/99 12/8/00 12/8/01 12/8/02 12/8/03 12/8/04 12/8/05 12/8/06 12/8/07 12/8/08 12/8/09 12/8/10 12/8/11 12/8/12 12/8/13 12/8/14 12/8/15 12/8/16 3/6/98 3/6/99 3/6/00 3/6/01 3/6/02 3/6/03 3/6/04 3/6/05 3/6/06 3/6/07 3/6/08 3/6/09 3/6/10 3/6/11 3/6/12 3/6/13 3/6/14 3/6/15 3/6/16 3/6/17 Rates (%) Diff (bps) Rates (%) Diff (bps) Forward Swap Rates Tend to Overestimate Spot Swap Rates of the Same Future Date Difference (Forward Swap Rate - Spot Swap Rate) 3Mo 6Mo 1Yr Average difference (bps) 16 32 65 Average difference (%) 7.8% 15.9% 32.6% Volatility of difference (bps) 49 71 98 Freq of positive difference 65% 68% 74% Freq of negative difference 35% 32% 26% Avg given positive difference (bps) 43 69 109 Avg given negative difference (bps) -34-45 -62 Forward swap rates appear to be a poor estimator of the actual spot rates of the same future date How much may be influenced by the central banks monetary policies and market liquidity? 5Yr Swap Rates - 3Mo Fwd vs. Spot of the Same Future Date 5Yr Swap Rates - 6Mo Fwd vs. Spot of the Same Future Date 9 8 7 6 5 4 3 2 1 0 250 200 150 100 50 0-50 -100-150 -200 9 8 7 6 5 4 3 2 1 0 350 300 250 200 150 100 50 0-50 -100-150 -200 Diff 3Mo Fwd Spot Rate Diff 6Mo Fwd Spot Rate 8

9/8/98 9/8/99 9/8/00 9/8/01 9/8/02 9/8/03 9/8/04 9/8/05 9/8/06 9/8/07 9/8/08 9/8/09 9/8/10 9/8/11 9/8/12 9/8/13 9/8/14 9/8/15 9/8/16 9/8/17 9/8/98 9/8/99 9/8/00 9/8/01 9/8/02 9/8/03 9/8/04 9/8/05 9/8/06 9/8/07 9/8/08 9/8/09 9/8/10 9/8/11 9/8/12 9/8/13 9/8/14 9/8/15 9/8/16 9/8/17 $ Per 1 Diff ($) $ Per 1 Diff ($) Forward FX Rates May Be Better Estimator of Spot FX Rates of the Same Future Date Difference (Forward FX Rate - Spot FX Rate) CAD/USD GBP/USD Average difference ($) $0.00 $0.01 Average difference (%) -0.25% 1.10% Volatility of difference ($) $0.07 $0.15 Freq of positive difference 48% 53% Freq of negative difference 52% 47% Avg given positive difference ($) $0.05 $0.12 Avg given negative difference ($) -$0.06 -$0.12 Certain forward FX rates outperform forward swap rates as an estimator of the respective spot rates of the same future date Better market liquidity and less central banks intervention? CAD/USD FX Rate - 1Y Fwd vs. Spot of the Same Future Date GBP/USD FX Rate - 1Y Fwd vs. Spot of the Same Future Date $1.20 $0.30 $2.50 $0.60 $1.10 $0.20 $2.20 $0.40 $1.00 $0.90 $0.80 $0.10 $0.00 -$0.10 $1.90 $1.60 $0.20 $0.00 $0.70 -$0.20 $1.30 -$0.20 $0.60 -$0.30 $1.00 -$0.40 Diff 1Yr Fwd Spot Rate Diff 1Yr Fwd Spot Rate 9

Other Examples of Investment Model Challenges Forecast of inflation TIPS implied vs. Econometric models Models involving human behavior mortgage and credit card prepayment models used for RMBS and ABS Correlation of asset returns may vary by the collective risk appetite of investors 10

Investment Model Risk Management

Ways to Manage and Mitigate Investment Model Risk Inventory models Rank models based on potential financial impact Ensure to have adequate model accesses and modeling expertise Be knowledgeable about the models, modeling process, assumptions, inputs, constraints and limitations For external models that require user inputs, establish robust processes and procedures to ensure that the inputs are up-to-date and provided according to the procedure When making investment decisions based on modeling results, look at a range of possible results instead of a single point Couple modeling results with sound judgment and experiences Conduct periodical review and validation of critical models Disclose and communicate model constraints and limitations clearly 12