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    Market Risk

    Internal Model Approach

    K.G.Bhandari

    IndusInd Bank Ltd.

    March 15, 2010

    Indian Banks Association

    4th Annual summit 2010

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    Basel Accord

    Capital requirement were simplistic and rigid but did not reflectunderlying economic risks of banks / FIs

    Now, capital requirements are more risk sensitive - reflectseconomic risk assumed

    These new standards are generally based on Value-at-Risk (VaR)

    methods

    VaR is a measure of loss at given confidence level and directlytranslates into measure of buffer capital

    Basel-I Accord sets Minimum Capital requirements to guard against

    Credit Risk

    To control expanding Trading activities, Capital Charge for marketrisk was included later

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    Standardised Method Capital Charge for Market Risk

    Based on pre-specified, standarised, building block approach

    Market risk is computed for portfolios exposed to interest rate risk,exchange risk, equity risk and commodity risk

    Takes into account Notional amount and market parameters

    Main drawback ignores diversification across market risks withineach category and across different categories

    Highly conservative Adds up capital charge for each category

    Assumes that Worst Loss will hit all portfolios at the same time

    Does not reward prudent diversification

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    Internal Model Approach

    IMA recognises

    Risk Management models in use far moreadvanced than rigid rules

    Banks can use their own VaR models as basis forcapital requirement for Market Risk

    VaR is a robust Risk Measurement and

    Management Practice

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    IMA - Qualitative Criteria

    Independent Risk Control Unit responsible for design and implementationof Banks risk management systems

    Regular Back-Testing

    Initial and on-going Validation of Internal Model

    Banks Internal Risk Measurement Model must be integrated intoManagement decisions

    Risk measurement system should be used in conjunction with Tradingand Exposure Limits.

    Stress Testing

    Risk measurement systems should be well documented

    Independent review of risk measurement systems by internal audit

    Board and senior management should be actively involved

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    IMA - Quantitative criteria

    Quantitative Parameters :

    VaR computation be based on following inputs :

    Horizon of 10 Trading days

    99% confidence level

    Observation period at least 1 year historical data

    Correlations : recognise correlation within Categories as wellas across categories (FI and Fx, etc)

    Market Risk charge : General Market Risk charge shall be Higher of previous days VaR or Avg VaR over last 60 businessdays X Multiplier factor K (absolute floor of 3)

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    Market Risk Charge

    Market Risk charge on any day t

    SRC Specific Risk Charge

    MRCt = Max (Avg VaR over 60 days, VaR t-1) + SRC

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    Back testing

    Possible cause and remedies of the "Yellow" zoneBasic Integrity of the modelDeficient model accuracyIntra day tradingBad luck

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    Internal Model Approach - Benefits

    Internal VaR system is more precise

    VaR account for correlations

    Market risk charge under IMA likely to be lower

    With improvements in risk measurement techniques, IMA willenable capital charge to be more precise

    Market Risk charge needs to be computed and monitored daily

    Each day VaR is compared with the subsequent Trading profitor loss

    Back Testing will help to refine the framework

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    Time

    Sop

    histication

    Mark to Market

    Duration

    Value at Risk

    Stress Testing

    Use of Statisticalanalysis todetermine

    maximum losses

    Use of What if

    scenarios todetermine losses

    in extremeeventsCashflow

    analysis tomeasure thesensitivity offixed incomeinstruments

    Revaluation ofthe portfolio to

    measure notionalP/L

    TimeTime

    Sop

    histication

    Mark to Market

    Duration

    Value at Risk

    Stress Testing

    Use of statisticalanalysis todetermine

    maximum losses

    Use of What if

    scenarios todetermine losses

    in extremeeventsCashflow

    analysis tomeasure thesensitivity offixed incomeinstruments

    Revaluation ofthe portfolio to

    measure notionalP/L

    Market Risk Advanced Risk Measurement Techniquesenables Bank to effectively control the amount of market riskit assumes and allocate capital for the same

    Measurement Techniques

    Marking to Market

    Duration, Convexity Price Value of a Basis Point

    VaR - Forex (Spot & Forward)

    Stress Testing

    Scenario Analysis

    Duration Limits

    VaR Limits

    Stop Loss Limits

    Counterparty ExposureLimits

    Country Exposure Limits

    StandardizedModel

    Internal Model

    Know your risks Allocate CapitalControl Measures

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    Market Risk Amendment

    Paradigm becomes explicit

    0

    Stressloss

    Frequency of loss

    Amount of loss

    Unexpected loss

    Expectedloss

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    Set up riskmanagement system

    Formulate riskmanagement policies

    and procedures

    Involve ofthe board of directors

    and high level management

    Effective RiskManagement

    3

    4

    Supporting Factors for Risk Management

    Establish a unit to operaterisk management

    2

    1

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    Limitations to Risk Management

    Limitations

    Involve of the board of directorsand high level management

    Not enough cooperation

    Low qualification

    Lack of independence to make a decision

    Not transparence

    Formulate risk management

    policy and procedures

    Policies/ procedures not match with risks

    Underdevelopment Infrastructure Rigid to implement

    Communication failure

    Establish a unit to operaterisk management

    Lack of adequate structure

    Staff has less experience

    Lack of independence

    Set up risk managementsystem

    No follow up and control system

    Not enough risk assessment/management

    instruments

    Database and IT system

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    Internal Model Approach

    Supervisory objectives

    better risk management

    continual upgrading and encouragement ofinnovation in risk management methodology and

    improved risk sensitivity and measures.

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    Internal Model Framework

    Policy Governance

    Risk Strategy Accountability

    Risk Appetite

    Internalising

    Risk Management Models ReportingProjection & Analys is Models

    Annual: planning, forecasting, budgeting Risk Monitoring

    Risk Maps Risk Analysis

    Economic Capital Pricing, capital management Risk Reporting

    Sensitivity Measures & Analysis

    External Factors

    financial markets, competition, tax & regulation

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    Impact & Benefits

    Best practice risk and capital management

    In particular: Risk management - processes and controls

    Capital management - eligible capital and quality ofcapital

    Improved market perception: enhanced reputation

    for risk management

    Precise capital requirements and return on capital

    Enhanced management information to supportmore optimal management decisions

    Reduced costs: Operational efficiencies from

    better risk management

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    Internal model and its purpose

    What is an internal model?

    A risk management system developed by theBank to analyse the overall risk position, toquantify risks and to determine the economiccapital required to meet those risks

    What is the purpose of an internal model?

    To fully integrate processes of risk and capitalmanagement within the Bank

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    Expected Benefits

    Improved risk sensitivity

    Better alignment of regulatory capital requirements witheconomic capital

    Encouragement of innovation in risk management methodology

    leading to higher competitiveness through better riskmanagement and hence lower costs of capital

    More effective pillar 2 discussion and familiarity of thesupervisor with more detailed exposure data

    Cost efficiencies through re-use of risk modeling infrastructurefor discussion with supervisors, rating agencies, analysts andshareholders.

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    Particular issues for banks

    The regulatory requirements are not yet come

    There is a shortage of skills and expertise There are data limitations Low base in terms of use of models and risk management; in

    effect, attempting to jump a generation The operating environment is undergoing fundamental change

    However, none of these difficulties are insurmountable if one learnsfrom others

    Most difficult IRB qualifying criterion to meet is not in relation tothe models themselves but in relation to the use them - a majorchallenge

    It needs to be recognised that a robust risk managementframework is an essential prerequisite. Successful implementation,such as the use of models, can only be achieved if they integrateinto a sound framework of systems and controls; in the case ofcertain banks, there may be some gap vis--vis international bestpractice

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    Specification of Market Risk Factors

    For interest rates, there must be a set of risk factors corresponding tointerest rates in each currency in which the bank has interest-rate-

    sensitive on- or off-balance sheet positions

    The risk measurement system should model the yield curve using one ofa number of generally accepted approaches

    The risk measurement system must incorporate separate risk factors to

    capture spread risk

    For exchange rates (which may include gold), the risk measurementsystem should incorporate risk factors corresponding to the individualforeign currencies in which the banks positions are denominated

    For equity prices, there should be risk factors corresponding to each ofthe equity markets in which the bank holds significant positions

    For commodity prices, there should be risk factors corresponding toeach of the commodity markets in which the bank holds significantpositions

    Q tit ti St d d

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    Quantitative Standards

    Value-at-riskmust be computed on a daily basis

    In calculating the value-at-risk, a 99th percentile, one-tailed confidence intervalis to be used

    Holdingperiodwill be ten trading days

    Effectivehistoricalobservation period must be at least one year

    Banks should update their data setsno less frequently than once every three months and shouldalso reassess them whenever market prices are subject to material changes

    No particular type of modelis prescribed should captures all the material risks run by the bank

    Banks will have discretion to recognise empirical correlationswithin broad risk categories

    Banks models must accurately capture the unique risks associated with optionswithin each ofthe broad risk categories

    Each bank must meet, on a daily basis, a capital requirementexpressed as the higher of(i) its previous days value-at-risk number measured according to the parameters specified in

    this section and(ii) an average of the daily value-at-risk measures on each of the preceding sixty businessdays, multiplied by a multiplication factor

    multiplication factorwill be set by supervisory authorities on the basis of their assessment of thequality of the banks risk management system, subject to an absolute minimum of 3.

    Banks using models will also be subject to a capital charge to cover specific risk (as defined

    under the standardised approach for market risk) of interest rate related instruments and equitysecurities

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    Stress Testing

    Stress testing to identify events or influences that could greatlyimpact banks is a key component of a banks assessment of its capitalposition

    Stress scenarios need to cover a range of factors that can createextraordinary losses or gains in trading portfolios, or make the controlof risk in those portfolios very difficult

    Stress tests should be both of a quantitative and qualitative nature,

    incorporating both market risk and liquidity aspects of marketdisturbances

    Banks should combine the use of supervisory stress scenarios withstress tests developed by banks themselves to reflect their specificrisk characteristics

    Stress tests results should be reviewed periodically by seniormanagement and should be reflected in the policies and limits set bymanagement and the board of directors

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    External Validation

    Validation ofmodels accuracy by external auditors and/orsupervisory authorities should at a minimum include

    verifying the internal validation processes

    formulaeused in the calculation process as well as for the pricingof options and other complex instruments are validated by aqualified unit - independent from the trading area

    Structureof internal models is adequate with respect to the banksactivities and geographical coverage

    results of the banks back-testing of its internal measurementsystem

    data flows and processes associated with the risk measurement

    system are transparent and accessible

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    The Standardized Method

    Risk classification is arbitrary.

    Ignores diversification : leads to high capitalrequirements because risk charges are systematicallyadded up across difference sources of risk

    Captures Risk for positions as on the day and not forthe period.

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    The Standardized Approach

    Guidelines to compute

    Interest rates risk Exchange risk Equity risk Commodity risk

    The bank's total risk is computed as the summation of the 4categories ignoring correlations

    Provide a robust measure of interest rate risk taking into account Systematic/Market risk

    duration basis risk across maturities

    Specific/Idiosyncratic risk

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    The Standardized Approach - Market Interest Rate Risk

    Market risk is defined via Maturity Bands

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    Specific Interest Risk Charge

    The capital charge for specific risk is designed to protect against anadverse movement in the price of an individual security owing to factorsrelated to the individual issuer

    Capital Charge for Interest Rate Risk

    Where,

    = Capital Charge for Total Interest rate Risk

    = Capital Charge for General Interest rate Risk

    = Capital Charge for Specific Interest rate Risk

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    The Internal Model Approach (IMA)

    Rely on Internal Risk Management of the Bank

    for the first time Regulation recognized that bank haddeveloped trustable risk management systems

    if this approach lead to lower Capital Charge, Bankshave incentives to develop sophisticated and more

    accurate models However, need to be approved by Regulation

    sound and sufficient details on the VAR and

    diversification models at qualitative and quantitativelevels

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    The Internal Model Approach (IMA) - Qualitative Requirements

    Independent Risk Control Unit The bank must a risk control that is independent of trading

    and reports to senior management, to minimize conflicts ofinterests

    Back testing

    Involvement senior

    sufficient resources

    Use of limits

    Stress Testing Compliance (to a documented set of policies)

    Independent Review

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    Requirement on risk factors :

    at least 6 factors for yield curve risk + separate risk factors tomodel spread risk

    for equity, the model should at least consist of beta mappingon an index, a more detailed approach could consist in adding

    industry factors, as well as individual risk factor modeling

    for active trading in commodity, the model should account forfor movements in the spot plus convenient yields

    bank should also capture the non linear price characteristicsof options (gamma, vega , ...)

    Correlation within broad risk categories are recognizedexplicitly

    The Internal Model Approach (IMA) -Qualitative Requirements

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    The Internal Model Approach (IMA) - VAR

    Market Risk Charge = VAR Shall be computed every day

    for a10 days horizon Bank can use a daily VAR and scale it using the square root

    time rule with a 99% confidence level with an observation period based on at least one year moving

    window of historical data shall be set at the higher of the previous day's VAR, or the

    average over the 60 business days, times a multiplicative factor k

    determined by regulator (in the range of 3 to 4) to preventmodel misspecifications

    a plus factor is added (depending on the performance of themodel)

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    Stress Testing

    Stress Testing can be described as a process to

    identify and manage situations that could causeextraordinary losses

    Tools

    Scenarios Analysis

    Stressing Models

    Policy Response

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    Stress Testing - Scenarios Analysis

    Evaluating the portfolios under various states of the world

    evaluating the impact changing evaluation models volatilities and correlations

    Scenarios requiring no simulations analyzing large past losses

    Scenarios requiring simulations running simulations of the current portfolio subject to largehistorical shocks

    e.g. 1987 crash, etc ... Bank specific scenario

    driven by the current position of the bank rather than

    historical simulation Much more subjective than VAR Can help to identify undetected weakness in the bank's

    portfolio

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    Back testing

    Statistical testing that consist of checking whether actual trading

    losses are in line with the VAR forecasts The Basle back testing framework consists in recording daily

    exception of the 99% VAR over the last year

    Even though capital requirements are based on 10 days VAR,back testing uses a daily interval, which entails moreobservations

    On average, one would expect 1% of 250 or 2.5 instances ofexceptions over the last year

    Too many exceptions indicate that

    either the model is understating VAR

    the Bank is unlucky

    How to decide ?

    Statistical inference

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    Basel Market Risk Charges

    The Market Risk Charge

    Quantitative parameters Market risk charge

    Plus factor

    Stress Testing

    A process to identify and manage situations that couldcause extraordinary losses

    Scenarios requiring no simulation

    Scenarios requiring a simulation

    Bank-Specific scenarios

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    Basel Market Risk Charges

    Back testing

    A statistical testing framework that consists ofchecking whether actual trading losses are in linewith VAR forecasts

    Exceptions

    The Penalty Zones

    Basic integrity of the model

    Deficient model accuracy

    Intraday trading Bad luck

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    Internal Model Approach - VaR

    Qualitative Requirements :

    To use IMA, banks need to satisfy QualitativeRequirements

    Robust risk measurement systems in place mustbe integrated into Management Decisions

    Conduct Stress Tests regularly

    Independent Risk Monitoring Framework