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Stress testing in a SII environment

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<strong>Stress</strong> <strong>test<strong>in</strong>g</strong> <strong>in</strong> a<br />

Solvency II<br />

<strong>environment</strong><br />

NOVEMBER 5, 2020<br />

Insurance Supervision and Risk Management<br />

Center of Excellence <strong>in</strong> F<strong>in</strong>ance<br />

Bernhard Mayr<br />

INTERNATIONAL MONETARY FUND 1


Questions<br />

• Are you familiar with stress <strong>test<strong>in</strong>g</strong>?<br />

• Does your authority use stress <strong>test<strong>in</strong>g</strong> as part of the regular supervisory process?<br />

• Do you require <strong>in</strong>surers to run regular stress tests?<br />

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<strong>Stress</strong> test – motivation and<br />

def<strong>in</strong>ition<br />

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Motivation and def<strong>in</strong>ition<br />

Def<strong>in</strong>ition: A method of solvency assessment that measures the f<strong>in</strong>ancial impact of<br />

stress<strong>in</strong>g one or more factors which could severely affect the <strong>in</strong>surer.<br />

Recital 42 of regulation 1094/2010 (regulation on the establishment of the European<br />

Insurance and Occupational Pensions Authority) provides a useful example to show<br />

the <strong>in</strong>tegral role of stress <strong>test<strong>in</strong>g</strong>; embedded <strong>in</strong> broader economic analysis.<br />

• In order to safeguard f<strong>in</strong>ancial stability it is necessary to identify, at an early<br />

stage, trends, potential risks and vulnerabilities stemm<strong>in</strong>g from the microprudential<br />

level, across borders and across sectors. The Authority should […]<br />

<strong>in</strong>itiate and coord<strong>in</strong>ate Union-wide stress tests to assess the resilience of<br />

f<strong>in</strong>ancial <strong>in</strong>stitutions to adverse market developments […]. In order to perform<br />

its functions properly, the Authority should conduct economic analyses of the<br />

markets and the impact of potential market developments.<br />

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Motivation<br />

• <strong>Stress</strong> tests are a useful bridge to Solvency II<br />

• They can fulfil the purpose of quantitative impact studies<br />

• In contrast to Solvency II development the focus now is not on the design of a new<br />

regime but ma<strong>in</strong>ly on the identification of potential hot spots.<br />

• It helps the <strong>in</strong>dustry and authorities to get ready for a new regulatory <strong>environment</strong><br />

• Do they have the resources needed and the right type of resources?<br />

• Are better systems needed?<br />

• Do they have the data to do a proper analysis?<br />

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Different forms of stress tests<br />

By topic:<br />

• Solvency stress tests<br />

• Liquidity stress tests<br />

• Macro stress tests<br />

By type:<br />

• S<strong>in</strong>gle factor/sensitivity analysis<br />

• Reverse stress <strong>test<strong>in</strong>g</strong><br />

• Scenario analysis<br />

• Climate stress tests<br />

Execution of stress test:<br />

• Bottom up: the supervisor def<strong>in</strong>es the scenarios and requests the <strong>in</strong>surer to run the<br />

stress test.<br />

• Top-down: <strong>Stress</strong> tests are run by the supervisor based on regulatory return data or<br />

specific data requests from <strong>in</strong>surers.<br />

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Type of stress test<br />

<strong>Stress</strong> <strong>test<strong>in</strong>g</strong><br />

S<strong>in</strong>gle factor/<br />

sensitivity analysis<br />

Assess effect of a large<br />

move <strong>in</strong> one risk factor<br />

Reverse stress test<br />

What scenario makes the<br />

bus<strong>in</strong>ess unviable<br />

Multi-factor/scenario<br />

analysis<br />

Historic or hypothetical<br />

scenarios, consideration of<br />

dependencies among risk<br />

factors<br />

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Specificities of the <strong>in</strong>surance sector<br />

Insurance stress tests require<br />

a solid understand<strong>in</strong>g of the<br />

sector’s specificities:<br />

<br />

<br />

<br />

Characteristics of <strong>in</strong>surance<br />

bus<strong>in</strong>ess, products, balance<br />

sheet structure, fund<strong>in</strong>g…<br />

Risks and vulnerabilities, key<br />

performance <strong>in</strong>dicators<br />

Regulatory framework, valuation<br />

and solvency regime<br />

Key<br />

<strong>in</strong>dicators<br />

Insurance<br />

bus<strong>in</strong>ess<br />

Regulatory<br />

framework<br />

<strong>Stress</strong> <strong>test<strong>in</strong>g</strong> tool<br />

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<strong>Stress</strong> <strong>test<strong>in</strong>g</strong> as part of a broader<br />

surveillance approach<br />

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Embedd<strong>in</strong>g the stress test <strong>in</strong> a broader<br />

assessment framework<br />

• <strong>Stress</strong> tests are one element to the assessment of risks to (micro) and from<br />

(macro) the <strong>in</strong>surer.<br />

• Based on pre-def<strong>in</strong>ed assumptions, they provide one perspective on potential<br />

vulnerabilities. The usefulness of its output is a function of how realistic the model<br />

is and what simplify<strong>in</strong>g assumptions need to be taken (“correlation/dependencies of<br />

risk factors”).<br />

• Hence, a stress test should be an <strong>in</strong>tegral part of a supervisor’s toolkit and the<br />

results need to be <strong>in</strong>terpreted <strong>in</strong> the context of the broader <strong>environment</strong>.<br />

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Surveillance cycle - example<br />

Vulnerabilities<br />

General risk<br />

monitor<strong>in</strong>g and<br />

analysis<br />

Targeted<br />

assessments<br />

Follow-up<br />

assessments<br />

Policy<br />

• Endogenous risks<br />

• Exogenous risks<br />

• Market<br />

analysis and<br />

diagnostics<br />

• Qualitative<br />

and<br />

quantitative<br />

analysis<br />

Assessment of<br />

identified risks (e.g):<br />

• <strong>Stress</strong> and<br />

scenario<br />

analyses<br />

(macro and/or<br />

micro)<br />

• Network<br />

analysis<br />

• Deeper dive,<br />

where relevant<br />

• Corrective and<br />

preventive<br />

measures, if<br />

needed<br />

Feedback to monitor<strong>in</strong>g and analysis<br />

Feedback to sources of systemic risk, vulnerabilities and trans-mission channels<br />

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Pre-Screen<strong>in</strong>g and Diagnostics<br />

• A good understand<strong>in</strong>g of the local <strong>in</strong>surance and f<strong>in</strong>ancial/capital markets is a<br />

prerequisite for any assessment of <strong>in</strong>surers’ vulnerabilities to particular risks.<br />

► It helps <strong>in</strong> the design and the calibration of the stress tests<br />

► It provides valuable <strong>in</strong>sights <strong>in</strong>to the potential strengths and weaknesses of the<br />

local <strong>in</strong>surance market.<br />

• When assess<strong>in</strong>g the market as a whole, it is important to look at the distribution<br />

(low and high percentiles, median and mean)<br />

• The analysis as part of the regular market monitor<strong>in</strong>g should cover data, such as<br />

► General assessment of economic, monetary and capital market conditions<br />

► Solvency and performance and other sector specific measures of <strong>in</strong>surers<br />

► Market competition<br />

► Qualitative <strong>in</strong>formation<br />

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Indicators for economic, monetary, and capital<br />

market conditions (II)<br />

Data type<br />

Economic, monetary, and<br />

capital market conditions<br />

Socio- demographic<br />

changes, disasters, etc.<br />

Household (and/or corporate)<br />

leverage<br />

Real estate prices<br />

Market competition<br />

Impact on <strong>in</strong>surers<br />

Adverse economic conditions generally decrease demand for<br />

<strong>in</strong>surance<br />

Unexpected deterioration <strong>in</strong> underwrit<strong>in</strong>g profitability may erode<br />

liquidity buffer and impact solvency. Inadequate adjustment to sociodemographic<br />

changes may <strong>in</strong> the long run lead to under-reserv<strong>in</strong>g /<br />

under-pric<strong>in</strong>g<br />

Decreases demand for <strong>in</strong>surance (to be assessed together with<br />

surrenders and lapses)<br />

Decl<strong>in</strong>es <strong>in</strong> real asset values may generate collateral calls on certa<strong>in</strong><br />

products and outstand<strong>in</strong>g credit l<strong>in</strong>es (l<strong>in</strong>ked to aspect above)<br />

Important asset on many <strong>in</strong>surers’ balance sheets<br />

Intense market competition may encourage <strong>in</strong>surers to take on<br />

additional <strong>in</strong>vestment or product risk, potentially lead<strong>in</strong>g to underpric<strong>in</strong>g<br />

or under-reserv<strong>in</strong>g of the risks (Two important causes for<br />

<strong>in</strong>surance failures). It may also <strong>in</strong>dicate higher <strong>in</strong>terl<strong>in</strong>kages.<br />

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Solvency, performance, and other sector-specific<br />

measures (I)<br />

Examples:<br />

• Solvency coverage ratio (capital / solvency capital requirement): - measures the<br />

extent to which assets cover commitments for future payments.<br />

• Comb<strong>in</strong>ed ratio for non-life <strong>in</strong>surers to measure underwrit<strong>in</strong>g profitability, consists<br />

of the sum of<br />

► Loss ratio (claims paid and changes <strong>in</strong> outstand<strong>in</strong>g claims provisions over gross<br />

earned premiums)<br />

► Expense ratio (operat<strong>in</strong>g expenses and commissions over gross written<br />

premiums)<br />

• Return on excess of assets over liabilities (or return on equity if available),<br />

return on assets<br />

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Solvency, performance, and other sector-specific<br />

measures (II)<br />

• Capital to premium (total capital to net written premiums): - <strong>in</strong>dicates the<br />

availability of capital <strong>in</strong> support of the <strong>in</strong>surance risks taken. This <strong>in</strong>dicator is ma<strong>in</strong>ly<br />

used for non-life bus<strong>in</strong>ess. It is a crude measure as it ignores asset quality.<br />

• Retention rate (net written premiums to gross written premiums): - measures the<br />

share of the <strong>in</strong>surance risk reta<strong>in</strong>ed by the <strong>in</strong>surer.<br />

• Interl<strong>in</strong>kages (direct and <strong>in</strong>direct exposures), e.g.<br />

► Investments <strong>in</strong> banks and other <strong>in</strong>stitutions<br />

► Derivatives hold<strong>in</strong>gs<br />

• Lapse (or surrender) ratios: Technical provisions (or number) of contracts lapsed<br />

dur<strong>in</strong>g a period relative contracts <strong>in</strong> force at the beg<strong>in</strong>n<strong>in</strong>g of the period<br />

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Qualitative <strong>in</strong>formation<br />

Covers all types of data that are qualitative <strong>in</strong> nature, hard to quantify, or not available.<br />

These data can often support the f<strong>in</strong>d<strong>in</strong>gs or, alternatively <strong>in</strong>directly highlight otherwise<br />

hidden prudential risks.<br />

• Change <strong>in</strong> product mix<br />

• Increase <strong>in</strong> policyholder compla<strong>in</strong>ts – e.g. an <strong>in</strong>crease <strong>in</strong> compla<strong>in</strong>ts for late<br />

settlements could be an <strong>in</strong>dication for a company <strong>in</strong> f<strong>in</strong>ancial difficulties (e.g. if it is<br />

accompanied by <strong>in</strong>creas<strong>in</strong>g surrenders)<br />

• Increase <strong>in</strong> fraud cases<br />

• High staff turnover<br />

• ….<br />

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How to use these data<br />

• The data enable a high level monitor<strong>in</strong>g of vulnerabilities <strong>in</strong> the <strong>in</strong>surance sector.<br />

Organis<strong>in</strong>g this <strong>in</strong>formation <strong>in</strong> a dashboard will help visualise the strength and<br />

weaknesses and potential risks ahead.<br />

• The analysis should be done on a regular basis.<br />

• Both levels and trends are of <strong>in</strong>terest.<br />

• Such a dashboard is a stand-alone tool but can serve as a useful <strong>in</strong>put or<br />

complement to a stress test exercise, by help<strong>in</strong>g identify scenarios and <strong>in</strong>terpret<strong>in</strong>g<br />

results. At the same type, it provides useful checks on <strong>in</strong>surers’ own stress test<br />

assumptions.<br />

• A useful, publicly available, example for such analysis are the quarterly risk<br />

dashboards by EIOPA.<br />

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Steps <strong>in</strong> sett<strong>in</strong>g up a stress test<br />

exercise<br />

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Questions<br />

• What are the ma<strong>in</strong> steps <strong>in</strong> a stress test?<br />

• How would you organise your stress test<br />

• Bottom up?<br />

• Top down?<br />

• How do you determ<strong>in</strong>e what you want to cover <strong>in</strong> the stress test?<br />

• How will the results impact your supervisory process?<br />

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The stress test cycle<br />

1. Identification of risks and scenarios to be tested;<br />

<strong>in</strong>clud<strong>in</strong>g type of stress test<br />

2. Specification of specific scenarios<br />

3. Coverage<br />

• Level of market coverage<br />

• Type of <strong>in</strong>surer<br />

• Type of products<br />

Preparation<br />

4. Involvement of <strong>in</strong>surers<br />

5. Runn<strong>in</strong>g the stress test<br />

6. Analysis of f<strong>in</strong>d<strong>in</strong>gs and back <strong>test<strong>in</strong>g</strong> (plausibility checks)<br />

7. Conclusions and potential follow ups<br />

Execution, review and<br />

conclusions<br />

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Identification of stresses (I)<br />

• Is the stress test for all <strong>in</strong>surers, for life or non-life, specific products?<br />

• Is the stress test run at the same time as the bank<strong>in</strong>g stress test?<br />

► If so:<br />

◆Ensure that there is some coord<strong>in</strong>ation with the bank<strong>in</strong>g supervisor<br />

◆The market risk assumptions should be aligned<br />

• The pre-screen<strong>in</strong>g and market diagnostic/monitor<strong>in</strong>g work (described above) may<br />

have already identified particular risks that require further assessment.<br />

► High lapses and surrenders → test potential liquidity stra<strong>in</strong> and implications of<br />

further <strong>in</strong>crease of surrenders on <strong>in</strong>surers’ solvency.<br />

► Massive fall <strong>in</strong> real estate values → Impact on <strong>in</strong>surers’ balance sheet and<br />

regulatory position<br />

► High concentration <strong>in</strong> the market → assume <strong>in</strong>creased default<br />

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Identification of stresses (II)<br />

• Regular sensitivity tests for specific risks (change <strong>in</strong> asset values, changes <strong>in</strong><br />

underwrit<strong>in</strong>g risks)<br />

• Assessment of pre-def<strong>in</strong>ed catastrophe scenario (e.g. flood<strong>in</strong>g, earth quakes,<br />

volcanoes)<br />

Second round effects<br />

• Second round (or second-order) effects are feedback effects that <strong>in</strong>volve changes<br />

<strong>in</strong> behaviour as a result of a shock, e.g. through changes <strong>in</strong> portfolios or bus<strong>in</strong>ess<br />

models.<br />

• These are not (sufficiently) taken account of <strong>in</strong> a s<strong>in</strong>gle period stress test. It is<br />

therefore useful to comb<strong>in</strong>e the stress test with an additional questionnaire ask<strong>in</strong>g<br />

<strong>in</strong>surers how they would react to a specific shock (i.e. after the shock has occurred<br />

and not as a mitigant to the shock).<br />

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Specification of specific scenarios (I)<br />

<strong>Stress</strong> <strong>test<strong>in</strong>g</strong> <strong>in</strong>volves chang<strong>in</strong>g the value of specific risk factors and determ<strong>in</strong><strong>in</strong>g the<br />

impact of such changes on the <strong>in</strong>surer’s bus<strong>in</strong>ess (balance sheet). The impact is<br />

measured aga<strong>in</strong>st pre-def<strong>in</strong>ed output metrics (e.g. solvency ratios).<br />

• Capital market events: Although the past is not necessarily a good predictor of the<br />

future, analysis of past price movements can help identify specific scenarios. The<br />

time series analysed should ideally be longer than a typical economic cycle.<br />

• Default of bank<strong>in</strong>g counterparty: Specify specific haircuts dependent on the<br />

seniority of the asset, e.g.<br />

► 100% loss on equity, 100% loss on subord<strong>in</strong>ated debt, 50% on senior bonds, etc.<br />

► Historic recovery rates may <strong>in</strong>form the scenario<br />

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Specification of specific scenarios (II)<br />

• Catastrophe event: Examples <strong>in</strong> Europe show that historic scenarios are easiest<br />

to implement<br />

• Biometric shocks:<br />

► Mortality shock: permanent <strong>in</strong>crease <strong>in</strong> mortality rates<br />

► Longevity shock: Permanent decl<strong>in</strong>e <strong>in</strong> mortality rates<br />

► Pandemic: temporary <strong>in</strong>crease <strong>in</strong> morbidity and mortality rates<br />

► NB: Insurers’ exposure depends on the products they offer.<br />

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Specification of specific scenarios (III)<br />

Risk factor Explanation Examples<br />

Interest rate risk<br />

Equity risk<br />

Real estate risk<br />

FX-risk<br />

Credit risk and<br />

counterparty<br />

default risk<br />

Economic value change of <strong>in</strong>terest rate sensitive<br />

assets and liabilities, measured by a shift <strong>in</strong> the yield<br />

curve (parallel, flatten<strong>in</strong>g, steepen<strong>in</strong>g)<br />

Need to consider different shocks for different types<br />

of equity. Def<strong>in</strong>ed as % loss <strong>in</strong> market value<br />

Similar to equity risk. May need to consider,<br />

differentiation between residential commercial real<br />

estate<br />

Negative shocks to net open FX-positions and/or FX<br />

denom<strong>in</strong>ated assets and liabilities<br />

Market value changes of fixed <strong>in</strong>come <strong>in</strong>struments,<br />

<strong>in</strong>crease of counterparty risk<br />

+/- 200bps parallel shift<br />

-20% fall <strong>in</strong> value<br />

+/- 20%<br />

Increase of credit spread by 50%,<br />

downgrade counterparties, failure<br />

of large counterparty<br />

For more detailed examples refer to: Jobst,<br />

Sugimoto, Broszeit (2014), Macroprudential<br />

<strong>in</strong>surance stress <strong>test<strong>in</strong>g</strong><br />

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Specification of specific scenarios (IV)<br />

Risk factor Explanation Examples<br />

Mortality/morbidity/<br />

longevity<br />

Economic loss result<strong>in</strong>g from <strong>in</strong>crease <strong>in</strong> risk factor<br />

25% <strong>in</strong>crease <strong>in</strong> risk<br />

Lapse/surrender Economic losses caused by higher surrender rates Mass lapse of 25%<br />

Natural catastrophe<br />

Other non-life shock<br />

Economic losses from natural or man-made<br />

disasters<br />

Cost/claim <strong>in</strong>crease<br />

Historical claims experience<br />

+10% <strong>in</strong>crease <strong>in</strong> cost of claims<br />

and +15% <strong>in</strong>crease <strong>in</strong> frequency of<br />

claims<br />

For more detailed examples refer to: Jobst,<br />

Sugimoto, Broszeit (2014), Macroprudential<br />

<strong>in</strong>surance stress <strong>test<strong>in</strong>g</strong><br />

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Specification of specific scenarios (V)<br />

• The above are examples of specific shocks to consider. There are several others.<br />

The question is always how to <strong>in</strong>tegrate them <strong>in</strong>to the stress test model. Therefore,<br />

market monitor<strong>in</strong>g of specific risk <strong>in</strong>dicators is an important complement to stress<br />

<strong>test<strong>in</strong>g</strong>.<br />

• To be useful, the stress test scenarios need to be severe but plausible.<br />

• If all specified scenarios should be tested at once, they should be <strong>in</strong>ternally<br />

consistent (e.g. mortality and longevity assumptions, development of equity and<br />

bond values).<br />

• Not all shocks are equally relevant.<br />

• NB: <strong>Stress</strong> tests undertaken at the European level cannot take account of national<br />

idiosyncrasies.<br />

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Mitigat<strong>in</strong>g actions<br />

• The stress test can be complemented by a questionnaire on how the <strong>in</strong>surer would<br />

react, assum<strong>in</strong>g the persistence of a specific scenario.<br />

• Changes can be made to:<br />

► Capital: e.g. dividend retention, equity issuance<br />

► Asset side: sale or purchase of specific <strong>in</strong>vestment assets<br />

► Liability side: change <strong>in</strong> profit shar<strong>in</strong>g, run off or sale of <strong>in</strong> force bus<strong>in</strong>ess, review<br />

of guarantee policy, etc.<br />

• Questionnaire should cover:<br />

► Likelihood of action<br />

► Expected impact<br />

► Tim<strong>in</strong>g<br />

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F<strong>in</strong>al output<br />

The impact of the stress can be assessed by the change <strong>in</strong> the solvency ratio and<br />

its components (eligible capital and solvency requirements)<br />

It shows how robust a company is aga<strong>in</strong>st the def<strong>in</strong>ed shock, the scenario.<br />

Example of useful output: Technical note of 2018 FSAP <strong>in</strong> Belgium<br />

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Analysis of f<strong>in</strong>d<strong>in</strong>gs and back-<strong>test<strong>in</strong>g</strong><br />

• Before draw<strong>in</strong>g any conclusions, the supervisor should assess the results.<br />

► Do the numbers make sense or are there potential errors, both <strong>in</strong> terms of <strong>in</strong>put<br />

and calculations (built-<strong>in</strong> plausibility <strong>in</strong> a stress template can reduce the risks of<br />

errors)?<br />

► Were the scenario assumptions reasonable? The scenarios should be severe but<br />

plausible.<br />

► What risk mitigat<strong>in</strong>g actions does the <strong>in</strong>surers have at its disposal?<br />

◆How realistic are they under specific circumstances?<br />

◆Have they been considered/excluded <strong>in</strong> the scenarios?<br />

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Communication of results<br />

• Based on experience <strong>in</strong> several countries, <strong>in</strong>surance supervisors tend to be more<br />

restrictive <strong>in</strong> terms of what <strong>in</strong>formation they disclose compared to the bank<strong>in</strong>g case.<br />

• However: Generally, disclos<strong>in</strong>g results is recommendable<br />

• The disclosure should be comb<strong>in</strong>ed with clear messag<strong>in</strong>g on the<br />

► The nature and objective of the exercise;<br />

► The stresses applied;<br />

► The <strong>in</strong>surers <strong>in</strong>cluded <strong>in</strong> the exercise;<br />

► Any (simplify<strong>in</strong>g) assumptions made;<br />

► Available mitigat<strong>in</strong>g actions that have or have not be<strong>in</strong>g taken <strong>in</strong>to account;<br />

► General conclusions.<br />

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Conclusions and potential follow-ups<br />

• Once all results have been validated, first conclusions can be drawn. This may<br />

<strong>in</strong>clude a more detailed analysis of the respective <strong>in</strong>surer.<br />

• Supervisory action (or the development o broader supervisory policies) should not<br />

be solely based on the stress test outcome but they may provide a solid foundation.<br />

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Important to remember<br />

A stress test is a useful tool but is only as good as the data that are used and the<br />

assumptions that go <strong>in</strong>to it. It cannot replace thorough supervision.<br />

Do not underestimate the value for supervisors of market surveillance and diagnostics.<br />

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Useful background material<br />

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Useful background material<br />

Data diagnostics<br />

Kwon W.J., Wolfrom L. (2016): Analytical tools for the <strong>in</strong>surance market and<br />

macro-prudential surveillance, <strong>in</strong> OECD Journal: F<strong>in</strong>ancial Market Trends, Vol.<br />

2016/1<br />

Insurance stress <strong>test<strong>in</strong>g</strong><br />

• Jobst, A., N. Sugimoto, T. Broszeit (2014), Macroprudential solvency stress<br />

<strong>test<strong>in</strong>g</strong> of the <strong>in</strong>surance sector, IMF WP/14/133.<br />

• EIOPA website covers useful material on European stress tests, <strong>in</strong>clud<strong>in</strong>g, stress<br />

specifications, report<strong>in</strong>g templates and f<strong>in</strong>al reports.<br />

• Survey<strong>in</strong>g responses to stress by banks and <strong>in</strong>surers, ESRB Occasional Paper<br />

No. 15.<br />

INTERNATIONAL MONETARY FUND 35

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