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    Internal Model Approach

    Market Risk

    Corporation Bank

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    2 2014 KPMG, an Indian Partnership and a member firm of the KPMG networkof independent member firms affiliated with KPMG International Cooperative

    (KPMG International), a Swiss entity. All rights reserved.

    Structure

    Introduction

    Broad Principles for RBI Approval

    Qualitative Criteria for IMA Approval

    Quantitative Criteria

    Risk Measurement

    Back Testing

    Stress Testing

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    3 2014 KPMG, an Indian Partnership and a member firm of the KPMG networkof independent member firms affiliated with KPMG International Cooperative

    (KPMG International), a Swiss entity. All rights reserved.

    Scope of IMA

    Only Held for trading will come under IMA

    AFSto continue under SMM, as markets are illiquid and market prices may not be

    available

    If other group level entities are not ready, IMA for parent, and those entities which

    are ready, and SMM for others

    Insignificant positions, minor currencies, negligible business areas, etc. can be

    under SMM

    Expected to follow IMA to all market risk positions and entities in the future

    Trading Book risk covers

    Interest rate-related instruments and equities in trading book

    Exchange rate risk trading book

    Risk relating to investments in MFs in trading book

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    4 2014 KPMG, an Indian Partnership and a member firm of the KPMG networkof independent member firms affiliated with KPMG International Cooperative

    (KPMG International), a Swiss entity. All rights reserved.

    Internal model and its purpose

    What is an internal model?

    Arisk management system developed by the Bank to analyze the overall

    risk position, to quantify risks andrequired to meet those risks

    to determine the economic capital

    What is the purpose of an internal

    To fully integrate processes of risk

    Bank

    model?

    and capital management within the

    IMA and VAR?

    Risk Management models in usefar more advanced than rigid rules

    Banks can use their own VaR models as basis for capital requirement for

    Market Risk

    VaR is a robust Risk Measurement and Management Practice

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    5 2014 KPMG, an Indian Partnership and a member firm of the KPMG networkof independent member firms affiliated with KPMG International Cooperative

    (KPMG International), a Swiss entity. All rights reserved.

    Market Risk Governance Structure

    Board of Directors

    Internal Audit

    Unit

    Model Development

    Unit

    Risk Control, Capital

    Computation and

    Reporting team

    Mid office/Market Risk

    Unit

    Integrated Risk

    Management Department

    Model Validation Unit

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    6 2014 KPMG, an Indian Partnership and a member firm of the KPMG networkof independent member firms affiliated with KPMG International Cooperative

    (KPMG International), a Swiss entity. All rights reserved.

    IMA - Qualitative Criteria

    Board and senior management should be actively involved

    Daily reports for Risk Unit to be reviewed by Senior Management in order to take appropriateremedial action, if required

    Documentation of Policies, Procedures and model parameters

    Banks risk measurement system must be well documented to describe the basic principles ofrisk management system and to provide empirical techniques used to measure market risk.

    Maintenance of Market Risk Model Dossier

    Ongoing, updated Dossier - to keep a record of the details of the model and of the changes /refinements,

    Can be built by references and links to other policies, operating manuals

    Independent Risk Control Unit responsible for design and implementation of Banks riskmanagement systems

    Regular Back-Testing and stress testing

    Initial and on-going Validation of Internal ModelBanks Internal Risk Measurement Model must be integrated into Management decisions

    Should be used in conjunction with Trading and Exposure Limits.

    Should be well documented

    Independent review of risk measurement systems by internal audit

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    7 2014 KPMG, an Indian Partnership and a member firm of the KPMG networkof independent member firms affiliated with KPMG International Cooperative

    (KPMG International), a Swiss entity. All rights reserved.

    Model Development Unit

    Either the bank can develop the model in house or use an external vendor. As the bank

    is using an external vendor the bank should :

    document and explain the role of the vendor model and the extent to which it is used within

    the market risk measurement system of the bank;

    demonstrate a thorough understanding of the vendor model;

    ensure that the vendor model is appropriate for measuring the market risk of the bank,

    given the nature of the portfolio and the capabilities of the staff; and

    have clearly described strategies for regularly reviewing the performance of the vendor

    model.

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    9 2014 KPMG, an Indian Partnership and a member firm of the KPMG networkof independent member firms affiliated with KPMG International Cooperative

    (KPMG International), a Swiss entity. All rights reserved.

    It comprise qualified members independent of model development. The role would

    include

    ensuring that the current systems setup is capable of supporting the models; all

    changes made to the models being used, or to the modelling process, should be

    validated and approved;

    maintaining previous versions of the model being altered; and

    Ensuring models are subjected to change-control procedures, so that computercodes cannot be changed except by authorized staff.

    Internal Model Validation Unit

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    10 2014 KPMG, an Indian Partnership and a member firm of the KPMG networkof independent member firms affiliated with KPMG International Cooperative

    (KPMG International), a Swiss entity. All rights reserved.

    This unit will comprise the suitably qualified external team who were not involved in

    model development process. The role would involve validating:

    Formulae used in calculation and pricing are validated by Risk Control Unit, independent of

    traders

    Checking that structure of model is adequate for banks activities and geographical

    coverage

    comparing back-testing results

    Data flows are transparent and accessible to all auditors

    External Model Validation Unit

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    12 2014 KPMG, an Indian Partnership and a member firm of the KPMG networkof independent member firms affiliated with KPMG International Cooperative

    (KPMG International), a Swiss entity. All rights reserved.

    The content of Market Risk Dossier would include: Authors responsible for the contents, date updated

    Description of the scope of application of the model

    Risk exposures and levels

    Policies and organization

    Risk measurement system

    Stress analysis and back testing program and results of the tests

    Technological environment and information integrity controls

    Market Risk Dossier

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    14 2014 KPMG, an Indian Partnership and a member firm of the KPMG networkof independent member firms affiliated with KPMG International Cooperative

    (KPMG International), a Swiss entity. All rights reserved.

    IMA RBI filing documents

    Bank need to provide written intention to RBI for migration to IMA. Documents which

    need to be submitted are:

    Preliminary and detailed application to RBI for prior approval

    Internal audit report of the model

    A MR File

    MR Model Dossier

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    15 2014 KPMG, an Indian Partnership and a member firm of the KPMG networkof independent member firms affiliated with KPMG International Cooperative

    (KPMG International), a Swiss entity. All rights reserved.

    RBI assessment

    RBI performs an assessment based on the following parameters:

    Accuracy of documentation

    Model scope

    Qualitative review

    Technological environment and information integrity

    Quantitative review

    Model monitoring (any modification proposed need prior intimation and approval from RBI)

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    16 2014 KPMG, an Indian Partnership and a member firm of the KPMG networkof independent member firms affiliated with KPMG International Cooperative

    (KPMG International), a Swiss entity. All rights reserved.

    IMA - Quantitative criteria

    IMA capital a function of

    Normal VAR

    Stressed VAR (for positions subject to interest rate specific-risk

    IMA to be modeled as given below

    Normal VARGeneral market risk

    Stressed VARgeneral market risk

    Specific Risk Charge as per the Standardized MeasurementMethod

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    17 2014 KPMG, an Indian Partnership and a member firm of the KPMG networkof independent member firms affiliated with KPMG International Cooperative

    (KPMG International), a Swiss entity. All rights reserved.

    Value at Risk (VaR) - Basics

    The value at risk (VAR) of a portfolio is the loss in value in the portfolio that can be expected

    over a given period of time (e.g., 1-Day) with a probability not exceeding a given number (e.g.,

    5%)

    A VaR statistic thus has three components:

    a time period (a day, a month or a year) and

    a relatively high level of confidence (typically either 95% or 99%),

    an estimate of investment loss (expressed either in rupees or percentage terms)

    Probability (Portfolio Loss VAR) = K

    K = Given Probability

    Time Period Confidence level Loss Amount

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    18 2014 KPMG, an Indian Partnership and a member firm of the KPMG networkof independent member firms affiliated with KPMG International Cooperative

    (KPMG International), a Swiss entity. All rights reserved.

    Parameters for Normal VAR Computation

    Computed daily

    VaR computation be based on following inputs :

    Horizon of 10 Trading daysCan use daily VAR and scale to 10 days

    99% confidence level

    Observation periodat least 1 year historical data

    Update data sets at least quarterly

    Can use any type of model - variance-covariance matrices, historical simulations, or

    Monte Carlo simulations.

    Portfolio VaR for the bank has been provided in the attached PDF

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    19 2014 KPMG, an Indian Partnership and a member firm of the KPMG networkof independent member firms affiliated with KPMG International Cooperative

    (KPMG International), a Swiss entity. All rights reserved.

    VaRThe Historical Simulation Approach

    The historical method simply re-organizes actualhistorical returns, putting them in order from

    worst to best

    The simulation trials assume that the percentage

    changes in all market variables are as on the

    previous day i.e. the history will repeat

    VaR is arrived at by tabulation of results at the

    desired confidence level

    The VaR is taken as the worst 1% (at 99%confidence level) of all daily returns

    Easy to describe and justify

    Fat tails, asymmetric responses, outliers are all incorporated automatically

    The assumptions are realistic as the scenarios occurred in the past are considered Easily accommodates stress simulations

    Captures all of the markets previous hits

    5%

    1.645 Std Dev

    Possible Profit/Loss-10MM

    The Approach

    Strengths

    The Approach

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    20 2014 KPMG, an Indian Partnership and a member firm of the KPMG networkof independent member firms affiliated with KPMG International Cooperative

    (KPMG International), a Swiss entity. All rights reserved.

    Example Historical VaR

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    21 2014 KPMG, an Indian Partnership and a member firm of the KPMG networkof independent member firms affiliated with KPMG International Cooperative

    (KPMG International), a Swiss entity. All rights reserved.

    Parameters for Stressed VAR computation

    Intended to replicate a VaR calculation that would be generated on the bankscurrent portfolio

    The stressed-VaR should be calculated at least weekly

    The model inputs for the stressed VaR should be calibrated to historical data

    from a continuous 12-month period of significant financial stress relevant to the

    banksportfolio

    Example 2007-2008 period of crisis

    The said period of stress will be approved by the RBI as part of its approvalfor

    the IMAmodel submitted by thebank andwouldberegularly reviewed.

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    22 2014 KPMG, an Indian Partnership and a member firm of the KPMG networkof independent member firms affiliated with KPMG International Cooperative

    (KPMG International), a Swiss entity. All rights reserved.

    The capital requirement C is calculated according to the following

    formula: mc and ms - multiplication factors to be set by the RBI on the

    basis of their assessment of the quality of the banks risk

    management system, subject to absolute minimum of three for

    both the factors; and

    pc and ps - the plus / add on factor, generally ranging from zero

    to one, to be decided by the bank based on the results of theback testing of its VaR model.

    C = max {VaRt-1; (mc +pc)*VaRavg} + max {sVaRt-1; (ms+ps)*sVaRavg }

    IMA Market Risk Charge

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    23 2014 KPMG, an Indian Partnership and a member firm of the KPMG networkof independent member firms affiliated with KPMG International Cooperative

    (KPMG International), a Swiss entity. All rights reserved.

    Capital computation

    Total Market Risk Capital is sum of :

    HFT general Market Risk Capital(IMA capital)

    HFT specific Capital( standardized approach)

    AFS general market Risk (standardized approach)

    AFS specific capital (standardized approach)

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    24 2014 KPMG, an Indian Partnership and a member firm of the KPMG networkof independent member firms affiliated with KPMG International Cooperative

    (KPMG International), a Swiss entity. All rights reserved.

    Market Risk Capital example

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    25 2014 KPMG, an Indian Partnership and a member firm of the KPMG networkof independent member firms affiliated with KPMG International Cooperative

    (KPMG International), a Swiss entity. All rights reserved.

    Normal VAR Stressed VAR

    Mc FactorRange 3 -4 3-4

    McHow used Used to multiply 60 day Average Used to multiply 60 day Averagenormal VAR stressed VAR

    McWho determines this RBI RBI

    factor

    Plus Factor )Pc)Range 0-1 0-1

    PcHow used. Added to Mc and used for Added to Mc and used formultiplying 60 days Average multiplying 60 days Average

    normal VAR stressed VAR

    PcWho determines Banks based on back testing Banks based on back testingresults of NORMAL VAR MODEL results of NORMAL VAR MODELand confidence in the model. and confidence in the model.

    Multiplication and Plus factor

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    26 2014 KPMG, an Indian Partnership and a member firm of the KPMG networkof independent member firms affiliated with KPMG International Cooperative

    (KPMG International), a Swiss entity. All rights reserved.

    Stress Testing - Scenarios Analysis

    Evaluating the portfolios under various states of the world

    Running simulations of the current shocks e.g. 1987 crash, etc

    Scenarios requiring simulations

    Bank specific scenario driven by the current position of the bank thanhistorical simulation

    Can help to identify undetected weakness in the bank's portfolio

    Much more subjective than VAR portfolio subject to large historical scenario

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    27 2014 KPMG, an Indian Partnership and a member firm of the KPMG networkof independent member firms affiliated with KPMG International Cooperative

    (KPMG International), a Swiss entity. All rights reserved.

    Back Testing

    Statistical testing that consist of checking whether actual trading losses are inline with the VAR forecasts

    The Basel back testing framework consists in recording daily exception of the 99% VARover the last year

    Even though capital requirements are based on 10 days VAR, back testing uses a dailyinterval, which entails more observations

    A bank should also report to the RBI the results of their back-testing exercise everyquarter before the last day of the month. In addition to exceptions, report to include:

    Classification of exceptions and proposed investigations.

    Action already taken or proposed to be taken for model improvement.

    Number of exceptions observed during each of the last three back-testing results.

    Too many exceptions indicate that The banks systems are not simply capturing the risk of the positions themselves.

    Model volatilities and/or correlations were calculated incorrectly

    Models accuracy could be improved

    Bad Luck or market moved in unanticipated manner

    Loss due to intra-day trading

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    28 2014 KPMG, an Indian Partnership and a member firm of the KPMG networkof independent member firms affiliated with KPMG International Cooperative

    Back Testing