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Measuring and Monitoring Financial Systemic Risk Presentation to G-20 Conference on “Financial Systemic Risk” September 27-28 2012 Dale Gray, Sr. Risk Expert, Monetary and Capital Markets Department, IMF The views expressed in this presentation are those of the authors and should not be attributed to the International Monetary Fund, its Executive Board, or its management. Outline of Presentation I. Systemic Risk Monitoring II. Information Sources and a Taxonomy of Systemic Risk Models III. Using Contingent Claims Analysis (CCA) for Financial, and Sovereign, Systemic Risk Analysis 2 A PRACTICAL APPROACH TO SYSTEMIC RISK MONITORING* – IMF Monetary and Capital Markets Department Motivation: Need to know when to act No magic bullet (single model) to monitor SR Many tools/approaches developed over time (~60-70), but only some suitable for Systemic Risk Monitoring Increasing need to make the toolkit understandable and usable A practical user guide (not an academic survey) – Which best tools and combinations of tools – For which types of risks? – In which country categories? – For measuring which phase of risk—early warning, impact of crisis, amplification *Systemic Risk Monitoring Report will be published in October 2012; it was prepared by IMF MCM staff - Nicolas Blancher, Srobona Mitra, Hanan Morsy, Akira Otani, Tiago Severo and Laura Valderrama. 21 different tools mapped to six key questions 2-page templates to describe each tool: – main characteristics – strengths and weaknesses – uses – example Monetary and Capital Markets Department Toolkit Coverage: – Types of risks: credit, liquidity, market risks; – Types of tools: single risk indicators, macrofinancial, network, market-based, hybrid and structural models; – Impact of shocks; – Long-term build up in balance sheet vulnerabilities; – Spillovers across financial entities, especially using high-frequency market price-based tools; – Cross border contagion between banking systems. Key Findings: How to Use Tools A combination of tools should be used The selection of tools is country-specific Tools for different phases in systemic risk: – The slow buildup of risk (e.g., through combinations of balance-sheet and slow-moving indicators). – The identification of weak points and potential adverse shocks (e.g., stress tests to detect weak financial institutions, asset price deviation from fundamentals). – The fast unfolding of crisis, including through amplification mechanisms (e.g., high frequency marketbased spillover measures). Longstanding data gaps remain an obstacle Key Findings: Limitations Early warning. The forward-looking properties of systemic risk measures are generally weak, even though some measures appear relatively promising Thresholds. More work needed on clear and reliable signals indicating when “to worry” and take action. System’s behavior. The capacity to model aggregate agent behaviors is limited, for instance as regards how banks internalize the materialization or increasing likelihood of systemic risk; potential reverse feedbacks and multiround effects (i.e., “perfect storms”); and, nonlinear risk correlations during periods of financial distress. (See summary of tools: coverage, inputs, outputs, applicability, bibliography in Appendix to this presentation) II. Information Inputs; Towards a Taxonomy of Risk Models Risk models use Different Sources of Information: Accounting balance sheet information Equity market (levels, returns, option prices) Bond and CDS spreads Interbank network linkages Exposure data Value-at-Risk Other 8 Relationships between Risk Models for Individual Institutions Using Accounting and Market Information Accounting Balance Sheet Traditional Balance Sheet Indicators Market Equitybased Contingent Claims Analysis (CCA); MKMV Equity levels and returns, Advanced CCA Equity option with Govt implied contingent volatility and liabilities skew Distress CDS/spread implied PoD Insurance Premium CDS or Bond implied Probability of Default (PoD) Market Debt-based (CDS & bond spreads) Systemic Risk Models for Multiple Entities Network Interbank Exposures Accounting Balance Sheet Aggregate FSIs Lo –Sherman model Merton-based Network Market Equity-based Merton-type CCA Joint Risk Equity Joint Tail Risk (from returns- SES and MES) Equity option implied joint risk Systemic CCA CDS/spread implied JPoD CDS CoRisk Systemic Distress Insurance Premium CDS –Joint Probability of Distress (CoPoD, BSI) Market Debt-based (CDS & bond spreads) CoVaR III. Using Contingent Claims Analysis (CCA) for Financial, and Sovereign, Systemic Risk Analysis Core Concept of Contingent Claims Analysis (CCA): Merton Model Assets Equity or Jr Claims Risky Debt Assets = Equity = Equity + + • Value of liabilities derived from value of assets. • Liabilities have different seniority. • Randomness in asset value. Risky Debt Default-Free Debt – Expected Loss = Implicit Call Option + Default-Free Debt – Implicit Put Option 11 CCA is Generalization of Black, Scholes, Merton Option Pricing Theory Liabilities derive their value from assets; Asset value is stochastic, changes in future asset value, relative to the promised payments on debt are the driver of forward-looking values of equity and risky debt; Risky debt is default-free debt value minus the expected loss value (ELV) due to default; It helps explain complex risk transmission and amplifications; If volatility is set to zero, result is the accounting balance sheet, default/credit risk measure is lost. 12 CCA Framework has Several Benefits Tools and techniques for calibrating CCA balance sheets of corporates and financial institutions are decades old. Commercial and academic daily models available. CCA is useful for modeling bank funding cost and can account for government guarantee impacts on bank funding cost or spillovers from high sovereign spreads. Combining individual institution expected losses into system-wide joint expected losses is useful for analysis of financial systemic risk, government contingent liabilities, sovereign risk interactions and frequently leads GDP. 13 Key CCA Risk Indicators for Financial Institutions Expected Default Frequency (EDF, 1 yr in %) Expected Loss Value (ELV=implicit put option value $) Expected Loss Ratio (EL, in basis points) =ELV/Default Barrier=RNDP*LGDsector Fair Value Spread (in basis points) FV Spread=-(1/T)*LN(1-EL) Ratio of Market Capitalization/Assets (CCA Capital Ratio, in %) 14 Typical Bank – Non-linear Relationships Between CCA Capital Ratio, EL, EDF and Fair-Value Spreads Mkt Cap/Assets Ratio (CCACR in %) 0.1 10% 0.08 8% 0.06 6% y = 0.9854x-0.494 R² = 0.7648 0.04 4% y = 0.0272x-0.265 R² = 0.8541 88 7 0.02 2% EDF (%) 66 5 44 3 0 0% 22 1 0 0 0 00 1000 1000 2000 2000 3000 3000 4000 4000 5000 5000 EL Ratio (in bps) 200 200 400 400 600 600 y = 320.9x 0.5 R² = 0.829 800 800 1000 1000 y = 0.1217x1.0815 R² = 0.9987 1200 1200 Fair Value Spread (bps) Based on Moody’sKMVCreditEdge data and IMF calculations Low Risk Zone: CCACR>2.5%, EDF<1.5%, EL<1800 bps, FVSpread<380 bps 15 CCA provides Estimates of “Market-Implied” Government Contingent Liability (Citigroup example 2007-2011) 1600 1400 1200 1000 800 FVCDS 600 MARKIT CDS CCA-based FV credit spreads greater than observed CDS spreads (in bps) 400 200 0 450 400 350 300 Estimated “market implied" government contingent liability (billion US $) 250 200 150 100 50 0 30-Apr-07 30-Apr-08 30-Apr-09 30-Apr-10 30-Apr-11 16 Systemic CCA: Measuring And Stress Testing Financial Sector Tail-risk Losses and Contingent Liabilities Beginning with CCA models of individual banks, expected losses and market implied contingent liabilities are estimated Multivariate extreme value dependence model is then used to calculate the multivariate density of: (i) the banking system expected losses, and, (ii) government’s contingent liabilities accounting for dependence (iii) measures of financial sector tail risk (95% VaR or Expected Shortfall) (iv) macro-factor model linked to CCA to stress test systemic tail risk. (See Gray and Jobst 2009, 2010, 2011, and forthcoming) 17 Extreme Tail Risk – US Financial System -Joint Total Expected Loss Value including dependence structure, 36 largest US financial institutions, 95th percentile Lehman Collapse Total Cont. Liab. (sum of individual expected losses) Total Cont. Liab. (ES, 95th percentile) 3,000 2,000 1,000 Just after Lehman there was a 5% chance of $3 trillion losses in financial system over a one year horizon! Jan-10 Dec-09 Nov-09 Oct-09 Sep-09 Aug-09 Jul-09 Jun-09 May-09 Apr-09 Mar-09 Feb-09 Jan-09 Dec-08 Nov-08 Oct-08 Sep-08 Aug-08 Jul-08 Jun-08 May-08 Apr-08 Mar-08 Feb-08 Jan-08 Dec-07 Nov-07 Oct-07 Sep-07 Aug-07 Jul-07 Jun-07 May-07 0 Apr-07 In US dollar billions 4,000 18 Extreme Tail Risk – US Government Contingent Liabilities including dependence structure, 36 largest financial institutions, 95th percentile (Contributions of individual institutions can also be measured.) 19 Joint EL Ratio = Joint Expected Losses (f (from Systemic CCA CCA)/ Aggregate Market Capitalization Systemic CCA Shows Nonlinearities of Asset Volatility, Market Capital/Assets, Fair Value Credit Spreads, and Joint Losses – for individual institutions and for the system as a whole (illustrated below) Systemic Risk Assessment Aggregate MCAR = Aggregate Market Capitalization/ Aggregate Implied Assets Implied Asset Volatility (Sample Median) Aggregate Fair Value Credit Spread Jobst and Gray (2012) 20 Latest Stage of Crisis: Destabilizing Feedback Loops between Sovereigns and Banks are Amplifying Risk Spillovers from the Sovereign to the Banks and Banks to Sovereigns A. Mark-to-market fall in value of govt bonds held by local banks DOMESTIC SOVEREIGN E. Similar sovereigns come under pressure FOREIGN B. Increase in bank funding costs BANKS C. Erosion in potential for official support D. Mark-to-market fall in value of govt. bonds held by foreign banks G. Rise in counterparty credit risk SOVEREIGN I. Increase in contingent liabilities of govt. I. Increase in contingent liabilities of govt. F. Contagion channels (A, B, & C as above) BANKS H. Withdrawal of funding for risky banks 21 Measuring Bank, Sovereign, Corporate, Macro, Risk Spillovers in EU Using CCA-GVAR Framework (Ongoing joint work with three ECB staff (Marco Gross, Matthias Sydow, and Joan Paredes); Forthcoming Working Paper Framework for analysis the interactions of banking sector risk, sovereign risk, GDP growth, stock markets, and other macro variable for 15 EU countries plus the US. Uses CCA risk indicators (EL) for the banking systems and corporate sectors and sovereigns in each country, Together with the GVAR (Global Vector Autoregression) model for each country, and weight matrices, impulse responses captures the non-linearity of changes in bank assets, equity capital, bank credit spreads, sovereign spreads and corporate credit risk. 22 Inputs and Scenarios/shock origins and Generalized Impulse Reponses (GIRs) for Banks, Sovereign, Corporates, GDP, etc.) CCA bank by bank risk indicators (63) CCA sovereign credit risk indicators (16) CCA corporate credit risk indicators (16) CCA banking system risk indicators (16) GDP data (16 series) Stock market index (16) Other Scenarios and Shock Origins GVAR Model Copula Simulation EL (l) and CDS (r) BANKS EL (l) and CDS (r) SOVEREIGNS 14.0% 140 12.0% 120 10.0% 100 8.0% 80 6.0% 60 4.0% 40 25.0% 8.0% 300 7.0% 250 6.0% 15.0% 200 5.0% 10.0% 150 4.0% 100 5.0% 2.0% 20 0.0% 0 DE IE DK NL FR PT AT ES IT CH UK BE SE NO US GR EL (l) and CDS (r) CORPORATE 350 20.0% Weighting Matrices (16 local country models) 50 GDP 25 0 ES IT SE NO NL GR FR CH IE AT DK PT BE DE UK US ES CH DE SE NL US FR AT BE PT NO GR 0.00% 20 15 10 3.0% -0.10% -0.20% -0.30% -0.40% 2.0% 5 -0.50% 0 -0.60% 1.0% 0.0% IE UK DK IT 0.0% ES BE IT PT CH DK SE DE FR US UK NO NL AT GR IE -0.70% 23 Scenario responses are fed into banking, sovereign, corporate modules to get secondary outputs Scenario Responses Corporate Module Banking Module Banking system responses (ELs and spreads) Bank by bank output results : - Funding cost impacts - Expected Losses - Implied market capital impact - Government contingent liabilities Corporate output results : - Expected Losses - Credit Spreads GDP growth IRs Stock market IRs Banking system IRs Corporate sector IRs Sovereign IRs Sovereign Module Sovereign output results : - Expected Losses - Credit Spreads - Other EU and Euro Zone Aggregate banking and sovereign debt expected losses Aggregate bank capital impact Fiscal and Growth Module - Contingent liabilities Borrowing cost changes Debt to GDP changes 24 Ongoing Work: CCA-GVAR Risk Exposure Outputs Facilitate Analysis of a Range Risk Mitigation Policy Options to get to ‘Low Risk Zone’ Banks: Increase bank capital higher assets, lower expected losses Debt-to-equity conversion lower default barrier, higher equity Guarantees on bank debt Ring-fenced asset guarantees lower bank borrowing costs Lower asset volatility Sovereigns: Increase debt maturity lower spreads Fiscal adjustment higher sovereign assets Supranational: Sovereign debt purchases/guarantees by public entity (ECB, EFSF, ESM, other) lower sovereign spreads Other Monetary Policy OMT/QE purchases lower spreads, higher GDP growth 25 Thank you (Contact information: [email protected]) Appendix Systemic Risk Monitoring Tools and Bibliography References for CCA/Systemic Risk Models 26 Summary of tools for Systemic Risk Monitoring Thresholds Early Warning Impact of crisis Amplification Y Y Y N N Limited Limited Y Limited Y Y Y Y Y Y Y Y Y Y Y N Y N Y Y Y Y Y Y N N N Asset prices and balance sheet data Limited Y Y Y N Y N N BoP and fiscal data Y Y Y Y Y Y N Y N Y Y Y N Y Y Y N Y N Y Y Y Y Y N Y Y N Y Y Y N Low Income Y Type of Data Y Frequency Y Sectors Y CoVaR Y N Financial High Asset prices and balance sheet data Limited CoPoD/BSI Volatility Spillovers Distress Spillovers Market-Based Probability of Default Y Y Y N N Y Financial Financial Financial High High High Asset prices Asset prices Asset prices Y N Financial and corporate High DSA N N External and public Low Asset Price N Y N Medium Balance Sheet Analysis N N All main sectors Low Systemic CCA Y N Financial High Low Cross-Border Interconectedness Y N Banking Additional Characteristics Q1 Q2 Q3 Q4 Q5 Q6 Applicability across Questions Advanced Applicability across Countries Emerging Data Requirements Markets Coverage Institutions Tools Asset prices and cash flow data Sectoral balance sheet data Limited Limited Y Y Y Y Y Y Asset prices and balance sheet data Limited Y Y Y Cross-border banking exposure and balance sheet data Limited Y Y Y Y Y Financial High Asset prices and balance sheet data N Limited Y Regime switching N Y Financial high Asset prices Y Y Y Y Low Cash flow and balance sheet data Y Y Y Y Low Macroeconomic data Y Y Y Y Y Y Amplification Advanced N Impact of crisis Emerging Y Early Warning Low Income Systemic liquidity Additional Characteristics Thresholds Type of Data Applicability across Questions Frequency Applicability across Countries Sectors Data Requirements Markets Coverage Institutions Tools Q1 Q2 Q3 Q4 Q5 Q6 Summary of tools (cont’d) Y N N Y N Y Y Y Y N N Y N N Y Y N Y FSIs Y Y Financial, corporate and household Thresholds Model N N Financial Macro stress tests Y N Financial Asset prices and balance sheet data Limited Y Y Y Y Y Y N N Y Y Y Y Y Y Y Y Y Y Y GDP at Risk Credit to GDP-Based Crisis Prediction Model Crisis Prediction Model DSGE Model Y Y Y Y N N N Low Asset prices and macroeconomic data N N Financial Low Macroeconomic data Limited Y Y Y Y Y Y Y Y N N N N Low Macroeconomic data Limited Y Y Y Y Y Y Y Y N N N N Low Macroeconomic data Y Y Y Y Y N N Y Y Financial and public Corporate and household Y Bibliography of Models and Tools for Systemic Risk Monitoring Adrian, Tobias and Markus Brunnermeier, 2010, “CoVaR,” Federal Reserve Bank of New York Staff Reports. Arsov, Ivailo, Elie Canetti, Laura Kodres and Srobona Mitra, forthcoming, “Near-Coincident Indicators of Systemic Stress”, IMF Working Paper, (Washington: International Monetary Fund). Baldacci, E., McHugh, J. and Petrova, I., 2011, “Measuring Fiscal Vulnerabilities and Fiscal Stress: A Proposed Set of Indicators”, IMF WP/11/94, (Washington: International Monetary Fund). Basel Committee of Banking Supervision (BCBS), 2012, “Models and Tools for Macroprudential Analysis,” May, available at https://www.bis.org/publ/bcbs_wp21.htm Benes, Jaromir, Michael Kumhof, and David Vavra, 2010, “Monetary Policy and Financial Stability in EmergingMarket Economies: An Operational Framework,” paper presented at the 2010 Central Bank Macroeconomic Modeling Workshop, Manila. www.bsp.gov.ph/events/2010/cbmmw/papers.htm. Borio and Drehmann, 2009, “Assessing the Risk of Banking Crises—Revisited,” BIS Quarterly Review, March. Chan-Lau, Jorge, Srobona Mitra, and Li Lian Ong, 2012, “Identifying Contagion Risk in the International Banking System: An Extreme Value Theory Approach," International Journal of Finance and Economics, available at http://onlinelibrary.wiley.com/doi/10.1002/ijfe.1459/abstract. Čihák, M., Muñoz, S., and Scuzzarella, R., 2011, “The Bright and the Dark Side of Cross-Border Banking Linkages,” IMF Working Paper 11/186, (Washington: International Monetary Fund). De Nicolò and Lucchetta, 2010, “Systemic Risks and the Macroeconomy,” IMF Working Paper 10/29. Bibliography (cont’d) Dell’ Ariccia, Giovanni, Deniz Igan, Luc Laeven, Hui Tong, Bas B. Bakker, Jérôme Vandenbussche, 2012, “Policies for Macrofinancial Stability: How to Deal with the Credit Booms,” http://www.imf.org/external/pubs/cat/longres.aspx?sk=25935 Diebold, Francis X. and Kamil Yilmaz, 2009, "Measuring Financial Asset Return and Volatility Spillovers, With Application to Global Equity Markets," Economic Journal, Vol.119, pp. 15–71. ______, 2012, “Better to Give than to Receive: Predictive Directional Measurement of Volatility Spillovers,” International Journal of Forecasting, Vol. 28, Issue 1, January – March. Espinosa-Vega, M., and J. Sole, 2010, “Cross-Border Financial Surveillance: A Network Perspective,” IMF Working Paper No. 10/105. González-Hermosillo, Brenda and Heiko Hesse, 2009, “Global Market Conditions and Systemic Risk,” IMF Working Paper No. 90/230. Gray, Dale, F. and Andreas A. Jobst, 2011, “Modeling Systemic Financial Sector and Sovereign Risk,” Sveriges Riksbank Economic Review, 2011:2. Laeven and Valencia, 2010, “Resolution of Banking Crises: The Good, the Bad, and the Ugly,” IMF Working Paper 10/146 (Washington: International Monetary Fund). Lopez-Espinosa, G., Moreno, A., Rubia, A., and Valderrama, L. (2012), “Short-term Wholesale Funding and Systemic Risk: A Global CoVaR Approach, IMF Working Paper 12/46 (Washington: International Monetary Fund). Bibliography (cont’d) International Monetary Fund, 2002, “Information Note on Modifications to the Fund’s Debt Sustainability Assessment Framework for Market Access Countries,” July. _____ , 2003, “Sustainability Assessments-Review of Application and Methodological Refinements,” June. ______, 2006, FSI Compilation Guide (http://www.imf.org/external/pubs/ft/fsi/guide/2006/) ______, 2007, “Republic of Croatia: Selected Issues,” IMF Country Report No. 07/82. ______, 2009, “Assessing the Systemic Implications of Financial Linkages,” Global Financial Stability Report, April, http://www.imf.org/External/Pubs/FT/GFSR/2009/01/index.htm ______–Financial Stability Board, 2010, “Early Warning Exercise: Design and Methodological Toolkit”, (Washington: International Monetary Fund). http://www.imf.org/external/np/pp/eng/2010/090110.pdf ______, 2010, “Recovery, Risk, and Rebalancing,” Chapter 1 in World Economic Outlook, World Economic and Financial Surveys (Washington, October). ______, 2011a, “Japan: Spillover Report for the 2011 Article IV Consultation and Selected Issues,” IMF Country Report No. 11/183, July. ______, 2011b, “Towards Operationalizing Macroprudential Policy: When to Act?” Chapter 3, Global Financial Stability Report, September. ______, 2011c, “Mexico: 2011 Article IV Consultation,” IMF Country Report No. 11/250, July. ______, 2011d, “How to Address the Systemic Part of Liquidity Risk,” Chapter 2, Global Financial Stability Report, April. Bibliography (cont’d) Lund-Jensen, K, 2012, “Monitoring Systemic Risk based on Dynamic Thresholds,” IMF Working Paper 12/149 (Washington: International Monetary Fund). Moretti, Marina, Stéphanie Stolz, and Mark Swinburne, 2008, “Stress Testing at the IMF,” IMF Working Paper 08/206, (Washington: International Monetary Fund). Reinhart, C. M. and K. S. Rogoff, 2010, “From Financial Crash to Debt Crisis,” NBER WorkingPaper No. 15795 (forthcoming American Economic Review). Reint Gropp & Marco Lo Duca & Jukka Vesala, 2009. "Cross-Border Bank Contagion in Europe," International Journal of Central Banking, vol. 5(1), pp. 97–139, March. Segoviano, Miguel and Charles Goodhart, 2009, “Banking Stability Measures,” IMF Working Paper No. 09/04 (Washington: International Monetary Fund). Schaechter, A, C. Emre Alper, Elif Arbatli, Carlos Caceres, Giovanni Callegari, Marc Gerard, Jiri Jonas, Tidiane Kinda, Anna Shabunina, and Anke Weber, 2012, “A Toolkit to Assessing Fiscal Vulnerabilities,” IMF WP/12/11. Severo, Tiago, 2012, “Using Violations of Arbitrage to Measure Systemic Liquidity Risk and the Cost of Liquidity Insurance,” IMF Working Paper (Washington: International Monetary Fund) Sun, Tao, 2011, “Identifying Vulnerabilities in Systemically-Important Financial Institutions in a Macro-financial Linkages Framework,” IMF WP/11/111, http://www.imf.org/external/pubs/cat/longres.aspx?sk=24841. References on Macrofinancial risk and CCA: Macrofinancial Risk Analysis, Gray and Malone (Wiley Finance book Foreword by Robert Merton) Gray, D. F., Merton R. C. and Z. Bodie, 2008, “A New Framework for Measuring and Managing Macrofinancial Risk and Financial Stability,” Harvard Business School Working Paper No. 09-015. Gray, D., A. Jobst, 2011, “Modeling Systemic Financial Sector and Sovereign Risk,” Sveriges Riksbank Economic Review, September Gray, Dale F., Robert C. Merton, and Zvi Bodie. (2006) “A New Framework for Analyzing and Managing Macrofinancial Risks of and Economy” Harvard Business School Working Paper, No. 07-026, 2006. (Also NBER Working Paper Series, No. 12637.) Gray, D. F., Merton R. C. and Z. Bodie, 2007, “Contingent Claims Approach to Measuring and Managing Sovereign Credit Risk, Journal of Investment Management, Vol. 5, No. 4, pp. 5-28. Gapen M. T., Gray, D. F., Lim C. H., Xiao Y. 2008, “Measuring and Analyzing Sovereign Risk with Contingent Claims,” IMF Staff Papers Volume 55 Number 1 (Washington: IMF). Gray, D. F., Jobst, A. A., and S. Malone, 2010, “Quantifying Systemic Risk and Reconceptualizing the Role of Finance for Economic Growth,” Journal of Investment Management, Vol. 8, No. 2, pp. 90-110. Garcia, C., D. Gray, L. Luna, J. Restrepo, 2011, “Incorporating Financial Sector into Monetary Policy Models: Application to Chile,” IMF WP/11/22 Gray, D. and S. Malone, 2012, “Sovereign and Financial Sector Risk: Measurement and Interactions” Annual Review of Financial Economics, 4:9. Gray, D., M. Gross, J. Paredes, M. Sydow, 2012, “Modeling the Joint Dynamics of Banking, Sovereign, Macro, and Financial Risk using Contingent Claims Analysis (CCA) in a Multi-country Global VAR” forthcoming Gray, D. F., and A. A. Jobst, 2012, “Systemic Contingent Claims Analysis (Systemic CCA) – Estimating Potential Losses and Implicit Government Guarantees to Banks,” IMF Working Paper (Washington: International Monetary Fund), forthcoming. 33 Macrofinancial Risk Analysis Framework integrates riskadjusted balance sheets using Contingent Claims Analysis (CCA) of financial institutions, corporates, and sovereigns together and with macroeconomic and monetary policy models TOOLKIT FOR MACRO RISK ANALYSIS 34