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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