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8/4/2019 Basel II -A
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.
State Bank of Pakistan
Basel Capital Accord
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Basel Capital Accord
State Bank of Pakistan
Background
1. Bank for International Settlements Based in Basel and created in 1930, the BIS is the worlds oldest international
financial institution
Its mission is to foster cooperation among central banks and other agencies in
pursuit of monetary and financial stability
Fosters regulatory and supervisory convergence across jurisdictions and financial
sectors
2. Basel Committee on Banking Supervision Voluntary Association
No formal supra-national authority Output series of Broad supervisory guidelines and Statements of best practices
Desired outcome: Convergence in Standard
3. Most Significant guidelines of BCBS is Capital AdequacyStandards commonly known as Basel I & Basel II
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A Standard for the Measurement of Risks in Banks,
and for the Allocation of Capital to cover those risks
Published by the Basel Committee on BankingSupervision
Basel Capital Accord
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Why Capital requirement for banks
Unexpected
loss
Expected
Loss
Probabil
ity
Amount
Extreme Loss
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Background Basel-I
State Bank of Pakistan
Basel I or Capital Accord 1988o The First ever internationally accepted standard for minimum capital
requirement for Banks
o Though meant for G-10 countries, accepted and adopted by most of theeconomies.
o Prescribe a simple framework for the calculation of minimum capitalrequirement for banks.
Capital (Asset X Risk Weight) X 8%
Broadly defined risk weights on the basis of asset class : 0, 20, 50, 100% For instance
CashBalance with Banks
Mortgage Finance
0%20%
50%
Loans to private firms 100%
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Capital > 8%
Risk weighted assets
The Basic Formula
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Background Basel-I
Bank
Risk
Weights Risk Weighted Assets
Assets A B C A B CCash 10 5 35 0% 0 0 0
Balance with other Banks 65 45 20 20% 13 9 4
Investments
Government Securities 110 200 70 0% 0 0 0Private sector debentures, Bonds, PTCs etc. 30 30 80 100% 30 30 80
Other Investments 10 0 40 100% 10 0 40
Advances
Federal Government 80 10 50 0% 0 0 0
Private Sector 200 170 100 100% 200 170 100
Secured against mortgage of residential or commercial property 20 80 40 50% 10 40 20
Consumer Financing 80 100 200 100% 80 100 200
Other Assets 45 10 15 100% 45 10 15
Total Assets 650 650 650 388 359 459
Capital Requirements 10% of RWA 39 36 46
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Basel II - Overview
Weaknesses of Basel I Did not assess capital adequacy in relation to a banks true risk profile
Broad-brushed risk weighting structure does not differentiate high risk orlow risk transactions within an asset class
Created an incentive to take some highest quality assets off the balancesheet
Covered only credit risk across bank and market risks only in trading book(Interest rate risk in banking book, credit concentration risk, etc were ignored and operational risk assumed to
be covered in credit risk capital charge)
Despite these weaknesses remained global standard for almost a decade
Firm X
Weak Financial positionRating BB
Firm Y
Strong Financial position
Rated AAA
Both assigned
100% risk Weight
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Basel II - Overview
Greater Risk SensitivityBroad Brush
Menu of ApproachesOne Size Fits All
Three PillarsFocus on Single
Measure (Capital)
2005: Basel II1988: Basel I
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Basel IIScope of Application
State Bank of Pakistan
10
Diversified Financial Group
Holding Company
InternationallyActive Bank
Internationally
Active Bank
Internationally
Active Bank
Domestic
Bank
Securities
Firm
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Basel IIOverall framework
State Bank of Pakistan
Three Mutually Reinforcing Pillars
Pillar 3: Market
Discipline
Pillar 2: Supervisory
Review Process
Pillar 1: Minimum
Capital Requirement
Definition of CapitalRisk Weighted Assets
Credit Risk Market RiskOperational Risk
Internal
Rating Based
Basic Indicator
Approach
Standardized
ApproachAMA
Standardized
Approach
Internal Model
Based Approach
Supplementary
Capital
Core Capital
Standardized
Approach
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Basel IIPillar 1 Capital Charge for Credit Risk
Each exposure is assigned a risk weight pursuant to the risk assessmentof External Rating agency
Least sophisticated capital calculations; generally highest capital burdens
Standardised Approach
Foundation IRB Approach
Advanced IRB Approach
Risk weights are calculated using a standard formula. Input parameters
to the formula known as risk components are
probability of default (PD) loss given default (LGD), exposure at default (EAD) and maturity (M).
More risk sensitive capital requirements
Same as FIRB Approach except the risk components are to be calculatedby the banks themselves
Most risk-sensitive (although not always lowest) capital requirements
Transition to Advanced IRB status only with robust internal riskmanagement systems and data
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Basel IIMajor changes
Credit Risk + Market Risk + Operational Risk.
Total CapitalCapital Ratio =
8% Minimum CAR
Unchanged
New Risk CapitalCharge
DefinitionUnchanged
No
ChangeRWA Calculation
Revised
Major change is the calculation of risk weighted assets for credit risk
Besides Basel II prescribes a framework for risk management and
allocation of capital against other risks
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Basel IIPillar 1 Minimum Capital Requirement
Definition of Capital (unchanged)
Tier 1 : Core Capital Equity
Disclosed reserves
Instruments eligible under October 1998 press release
Tier 2 : Supplementary Capital (limited to 100% Tier 1) Undisclosed reserves
Revaluation reserves
General provisions/general loan loss reserves
Hybrid instruments
Subordinated debt ( lower tier 2)
Tier 3 : ( for market risk) short term subordinated debt
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Based upon ECAIs long-term domestic rating for
domestic and foreign currency obligations.
Credit
Assessment
AAA
to
AA-
A+
to
A-
BBB+
to
BBB -
BB+
to
B-
Below
B-
Un -rated
Risk
weighting
0% 20% 50% 100% 150% 100%
Claims on Sovereigns
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At national discretion, supervisors may allow the use of
ratings from Export Credit Agencies
Available for a far greater number of sovereigns.
ECA Risk
Score
1 2 3 4 to 6 7
Risk
Weighting
0% 20% 50% 100% 150%
Claims on Sovereigns
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National Discretion : Preferential treatment (e.g. 0%risk weight ) can apply to
Exposures in domestic currencies to a banks ownsovereign (and central bank ) under the condition that
exposures are also funded in national currency
Preconditions for the own sovereigni. Claim on the own sovereign
ii. Exposure denominated in domestic currency
iii. Exposure funded in domestic currency
Claims on Sovereigns
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Bank in Pakistan, exposure to Government of Pakistan,
denominated and funded in Pak Rupees
Pak. Rs. Pak. Rs. Pak.Rs.
Gov. 100
Other 600
US$ 200
Cap. 100
Liab. 200
US$ 600
Gov. $ 100
Other 600
US$ 200
Cap. 100
Liab. 200
US$ 600
Gov. $ 100
Other 600
US$ 200
Cap. 100
US$ 800
Preferential treatment for
government claim
Yes
Preferential treatment for
government claim
No
Preferential treatment for
government claim
No
Preferential Treatment: Example
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Other supervisors may also permit their banks to applythe same risk weighting (i.e. if Pakistan applies 0%,
Hong Kong can follow)
Bank in Hong Kong
Assets Liabilities
Gov. of Pakistan 500 Pak.Rs.
Other assets 1,200 HK$
Capital 300 HK $
Liabilities 500 Pak.Rs.
Liabilities 900 HK $
Preferential Treatment: Example
Claims on central banks , BIS, ECB, IMF will receive the lowest risk weight
applicable to sovereigns
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Two optionssupervisors must apply one
option to all banks in their jurisdiction
No unrated claim may receive a risk weight
less than that of its sovereign.
Claims on Banks
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Banks are assigned a RW one category less favorable than that of its
country of incorporation.
RW cap at 100% except in countries rated below B-, in which case the
RW is 150%.
Credit
Assessment of
Sovereign
AAA
to
AA-
A +
to
A-
BBB+
to
BBB-
BB+
to B-
Below
B-
Unrated
Sovereign RW 0% 20% 50% 100% 150% 100%
Bank Risk
Weight
20% 50% 100% 100% 150% 100%
Claims on Banks including securities firms: Option 1
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Based upon the credit assessment of the bank itself.At national discretion a preferential treatment exists for
claims of 3 months or less (original maturity), subject to a
floor of 20%. Not available to banks rated below B-.
Credit Assessment
of banks
AAA
to
AA-
A + to
A -
BBB+
to
BBB-
BB+
to
B-
Below B- Unrated
Risk Weight 20% 50% 50% 100% 150% 50%
Risk Weight ST
claim
20% 20% 20% 50% 150% 20%
Claims on Banks including securities firms: :Option 2
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Risk weighted similar to banks under option 2
0 % risk weight is possible ( as determined by the Basel
Committee) for MDBs
o Majority of the external assessments are AAA;
o Shareholder structure is significantly comprised of
sovereigns with long term issuer credit assessment of
AA or better;
o Strong shareholder support (i.e. amount of capital ,
amount of callable capital);
o Adequate level of capital and liquidity
Claims on MDBs
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Generally treated as a claim on a bank (if using
option 2 , the ST preferential treatment is not
available to PSEs)
At national discretion may be treated as a claim
on the sovereign in the jurisdiction where
establishedExample : categorization of PSEs by revenue
raising power
Claims on PSEs
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Based upon comments received from the industry, a 50%RW was added and expansion of 150% RW.
No unrated claim can receive a RW less than the sovereignRW.
CreditAssessment AAAto
AA-
A+to A- BBB +to BB- BelowBB- Un-rated
Risk Weight 20% 50% 100% 150% 100%
Claims on Corporate
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Risk weight for unrated corporates(100%) is a floor.
Low rated ( below BB- ) corporates that
give up their rating in order that the bankcan have a 100 % capital charge will affectthe quality of the un rated borrowerpool;thus a higher RW (higher than 100%)may be necessary.
Claims on Corporate
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At national discretion supervisory authorities maypermit banks to risk weight all corporate claims at100 % without regard to external ratings.
Where this discretion is exercised by supervisor,itmust ensure that banks apply a single consistentapproach i.e to use ratings wherever available or
not at all.
Claims on Corporate
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New lower risk weight for retail portfolio,e.g 35% for residential mortgages
Past due mortgage loans are weighted at 100%
75 % for other retail ( 100 %)
Aggregate exposure to one counterpart cannot exceed0.2% of the overall regulatory retail portfolio
The banks total exposure to the firm must be less than
Euro 1 million Past Due claims do not qualify for this preferential
treatment
Rules for Retail
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The unsecured portion of any loan (other thanqualifying residential mortgages loan ) that is pastdue for more than 90 days, net of specific provisions ,
will be risk weighted as follows:Where specific provisions are less than 20 % ofoutstanding loan amount : risk weight 150 %
Where specific provisions are no less than 20 % of
outstanding loan amount : risk weight 100 %Where specific provisions are no less than 50 % ofoutstanding loan amount : risk weight 100 % ,howevermay be reduced to 50 % with supervisory discretion.
Past Due Exposures
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All other assets will continue at 100 %
National Supervisor may decide to applya 150% or higher risk weight to high riskassets (venture capital , private equity)
Other Claims
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Off balance-sheet itemscurrent framework willremain in place with a few exceptions Credit conversion for ST commitments (upto one year)
will be 20 %: over one year 50% . A 0 % RW can be applied if the commitment is
unconditionally cancelable.
100% conversion factor applied to repo-styletransactions.
For short term self liquidating trade letters of credit , a20% CCF will be applied to both issuing and confirmingbanks.
Other Risk weight issues
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ECAI must be recognized by the supervisor.ECAIs may be recognized on a limited basis (i.e. typeof claim or jurisdiction).
Process for recognizing ECAIs must be disclosed.
Eligibility critieria- Objectivity - Independence- International access - disclosure
(transparency)
- resources - credibility
External Credit Assessment Inst. (ECAI)
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Mapping Process:- responsibility of the supervisor to map ratings to
RW in an objective manner;
- process for mapping must be disclosed bysupervisor;- disclosure by banks of ECAI used by type of claim
and % of RWA that are based on the assessmentof each ECAI.
Multiple assessments:- 2 ratingsuse the one resulting in a higher RW;- Multiple ratingsuse the two that correspond to
the lowest RW and choose the higher RW of thetwo.
Implementation considerations
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34
if a high-quality (maps to a better than unrated RW)issue rating is available from another issue of the sameissuer, it may be used provided that the banks claimranks pari pasu or is more senior; otherwise the claimshould be treated as unrated;If there is an issuer rating, it will typically apply to
senior claims; consequently, only senior claims can usethe issuer assessment; otherwise, the claim should betreated as unrated.Issue or issuer low quality assessmentuse this rating.
Issuer versus issue assessment if there is no issuerating available for the banks particular investment:
Implementation considerations
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if a high-quality (maps to a better than unrated RW)issue rating is available from another issue of the sameissuer, it may be used provided that the banks claimranks pari pasu or is more senior; otherwise the claimshould be treated as unrated;If there is an issuer rating, it will typically apply tosenior claims; consequently, only senior claims can usethe issuer assessment; otherwise, the claim should betreated as unrated.Issue or issuer low quality assessmentuse this rating.
Issuer versus issue assessment if there is no issuerating available for the banks particular investment:
Implementation considerations
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External assessments from one entity in thecorporate group cannot be used to RW otherentities in the same group.
Unsolicited ratings- Generally should not be used- At national discretion, they may be used
- Supervisor should be aware of pressure
by the ECAI applied to the corporate toobtain a rating- Benefits could widen ratings coverage
Implementation considerations
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Supervisors should disclose process for recognizing
ECAIs
Supervisors may choose to disclose list ofrecognized ECAIs
Aim: transparent process for recognizing ECAIs
Disclosure for supervsiors
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Banks must disclose
Credit assessment institution(s) they use
Mapping process
Percentage of risk weighted assets mapped into
single grades
Disclosure for Banks
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Grade 1 2 3 4 5 6 7
Rating AA
A
AA A BBB BB+ BB- B
R W % 20 20 50 100 100 100 150
% assets 15 10 20 25 15 10 5
Example
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Rules for Equity Exposure
40
Co
mpany
Source: Text
Basel I
Equity Exposure
Non-consolequity
Type ofExposure
Risk Weight
100%
Standardised bank risk weights
Corporates
Banks
100%*
100%
* CRD has preferentialtreatment vs. Basel IIAccord; supervisors mayincrease to 150% for venturecapital and private equityinvestments ( 80)
PD/LGDModel**
Securitiesfirms 100%
92%***
81%***
264%
32%***
82%***
195%***
120%***
** Inputs: average ratingagency PDs, LGD of 90%,supervisory value for EADand M of 5.
DaimlerChrysler
Siemens
Fresenius Med. Care
GE
Sony
Vivendi Universal
Bertlesmann
290%
290%
290%
290%
290%
290%
290%
Basel II
For banking book exposures.National supervisors mayexempt from IRB treatmentfor up to ten years particularequity exposures held atpublication date of Basel IIaccord ( 267)
Simple Model* Rating
A3/BBB
Aa3/AA-
Ba1/BB+
Aaa/AAA
A1/A
Baa3/BBB-
Baa1/BBB+
*** Under Basel II ( 353) a floorrisk weight of 200% appliesto listed equities
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Basel IIPillar 1 Capital Charge for Credit Risk
Standardized Approach - Risk Weighting Scheme (Past Due)Provision less than 20%
of Outstanding amount
Provision more than
20% but less than
50% of Outstanding
amount
Provision no less
than 50% of
Outstanding amount
All except retail 150% 100% 50%
Retail 150%
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Collateralized TransactionA transaction where:
the bank has a credit exposure or potential credit exposureto a counter party; AND
the exposure is hedged in whole or in part by collateralposted by a counter party or by a third party on behalf of
the counter party.
As a general rule, no transaction should receive a
RW higher than an unsecured claim.
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No capital relief if the following conditions are notmet.
Legal certainty: All documentation used in the collateralized transactions must
be binding on all parties and legally enforceable in all relevant
jurisdictions. Legal opinion on enforceability should be obtained and
updated.
Legal mechanism must ensure that the bank has clear rightsover the collateral and may liquidate or take legal possessionsof it in the event of default, insolvency, or bankruptcy of thecounter party.
Banks must take all steps necessary to fulfill local requirementsfor obtaining and maintaining an enforceable security interest.
l
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Basel II - Pillar 1 Capital Charge for Credit Risk
Standardized Approach - Risk Mitigation
Eligible Collaterals1. Cash/ Cash Equivalent
2. Debt Securities (Rated)
3. Debt securities (Unrated) subject to following conditions:
Issued by a bank; and Listed on a recognized exchange; and
Qualify as senior debt; and
All other rated issues by the issuing bank are rated at least BBB- or A3/ P3; and
The lending bank has no information to suggest that the issue justifies a rating below BBB- or A3/ P3;and
4. Equities included in a main index
5. Listed Undertakings in Collective Investments in Transferable Securities (UCITS)/Mutual funds
Additionally in Comprehensive approach followings are also recognized
Equity not included in a main index, but listed on a recognized exchange
UCITS/ mutual funds which include such equities
B l II
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Basel II - Pillar 1 Capital Charge for Credit Risk
1. Simple approach: Same as in Basel I, However allows only liquid collaterals eligible.
It follows a substitution mechanism whereby the value of eligible collateral isdeducted from exposure amount and risk weight is to be calculated on
residual amount developed for banks that only engage to a limited extent in collateralized
transactions
Standardized Approach - Risk Mitigation
Example loan: 100, collateral: 80 bonds,
risk weight of borrower: 100%
risk weight of bond: 50% (A rated)
risk weighted assets of covered portion: 80 x 50% = 40
risk weighted assets of uncovered portion: 20 x 100% = 20
total risk weighted assets: 40 + 20= 60
B l II
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Basel II - Pillar 1 Capital Charge for Credit Risk
Standardized Approach - Risk Mitigation
2. Comprehensive Approach:focuses on the cash value of the collateral taking into accountprice volatility
The exposure amount after risk mitigation is calculated as follows,
Using standard supervisory or own estimates haircutsE* = max {0, [E x (1 + He)C x (1HcHfx)]}where:E* = the exposure value after risk mitigation
E = current value of the exposureHe = haircut appropriate to the exposureC = the current value of the collateral receivedHc = haircut appropriate to the collateralHfx = haircut for currency mismatch
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HaircutsWill depend on type of exposure/ collateral,rating,remaining maturity, and frequency of mark- to- marketand re-margining
1. Standard supervisory haircuts
Fixed by Basel Committee2. Own- estimate haircuts Based on banks internal estimates of market price and FX
volatilities Permission will be conditional on the satisfaction of minimum
qualitative and quantitative standards.
Comprehensive Approach
B l II
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Basel II - Pillar 1 Capital Charge for Credit Risk
Standardized Approach - Risk Mitigation
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Type Minimum HoldingPeriod
Condition
Repo StyleTransactions
5 days Daily
remargining
Other CapitalMarket Transactions
10 days Daily
remargining
Secured Lending 20 days Daily
RevaluationH = HM
TM
NR + (TM-1)
Comprehensive Approach
Hm = haircut for the min holding period
Nr = no of days between remargining
Tm = min holding period for the type of transaction
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Collateral only recognized if original maturity more than a
year and residual maturity of more than 3 months.
Maturity mismatch not allowed in simple approach
When there is a maturity mismatch following adjustment is
required in collateral value:
Pa = P x (t-0.25)/(T-0.25)
Where Pa = value of collateral after maturity mismatch adjustment
P = value of collateral
t= min( T, residual maturity of collateral in years)
T = min (5, residual maturity of exposures in years)
Maturity Mismatch
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Currency MismatchWhere the credit protection is denominated in a currency
different from that in which the exposure is denominated i.e.
there is a currency mismatch the amount of the exposure
deemed to be protected will be reduced by the application of a
haircutHFX, i.e.
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2. Own- estimate haircuts (Continued)
Quantitative Criteria
99 th percentile one- tailed confidence interval is to be used
The minimum holding period will depend on the type oftransaction and the frequency of remargining or MTM
Banks must take into account the illiquidity of lower- quality assetsby adjusting holding period upwards and should identify wherehistorical data may understate potential volatility.
The choice of historical observation period for calculating haircuts
shall be a minimum of one year. Banks should update their data sets at least once every 3 months
and reassess them whenever market prices are subject tomaterial changes.
Comprehensive Approach
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2. Own- estimate haircuts (Continued)
Qualitative Criteria
The estimated volatility data (and holding period) must be usedon the day- to- day risk management process of the bank.
Banks should have robust processes in place for ensuringcompliance with internal policies, controls and proceduresconcerning the operation of risk measurement system.
The risk management system should be used in conjunction withinternal exposure limits.
An independent review of the risk management system shouldbe carried out regularly at the banks own internal auditing
process (ideallyat least once a year).
Comprehensive Approach
Basel II Overall framework
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Basel IIOverall framework
State Bank of Pakistan
Three Mutually Reinforcing Pillars
Pillar 3: Market
Discipline
Pillar 2: Supervisory
Review Process
Pillar 1: Minimum
Capital Requirement
Definition of CapitalRisk Weighted Assets
Credit Risk Market RiskOperational Risk
Internal
Rating Based Approach
(IRB)
Basic Indicator
Approach
Standardized
ApproachAMA
Standardized
Approach
Internal Model
Based Approach
Supplementary
Capital
Core Capital
tandardized
Approach
I t l R ti B d A h
B i C t
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Internal Rating Based ApproachBasic Concept
State Bank of Pakistan
Credit rating is a symbolic representation of the risk
profile of an obligor or an exposure
Moodys DR S&P DR
Aaa 0% AAA 0%
Aa .01% AA .01%
A .02% A .06%
Baa .11% BBB .23%
Ba .6% BB 1%
Caa 2.73% B 4.57%
Ca-c 10.50% CCC 25.59%
Probability of Default (PD)
Loss Given Default (LGD)
Exposure at Default (EAD)
I t l R ti B d A h
B i C t
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Internal Rating Based ApproachBasic Concept
State Bank of Pakistan
Expected
Loss (EL)
Unexpected
Loss at 99%(UL)
Unexpected loss
beyond 99%
Probability
Amount
EL = PD x LGD x EAD
I t l R ti B d A h
B i C t
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Internal Rating Based ApproachBasic Concept
State Bank of Pakistan
Borrower default if the value of its assetsfalls below its obligation or a default
threshold
There relationship between distance todefault and PD can be described by
normal distribution function.
1 Yr
Distribution of
asset value at
horizon
Asset
Value
Today
EDF
Time
Value
Default PointDistance-to-Default =3 Standard deviations
Asset Volatility
(1 Std Dev)
B l II
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Basel II - Pillar 1 Capital Charge for Credit Risk
State Bank of Pakistan
Internal Rating Based Approach
The capital requirement is calculated on the basis of risk assessed by the bankitself
The risk Assessment is based on internal risk rating of exposures which are used to
calculate following inputs parameters called risk components
Borrower risk: Probability of default (PD)
Transaction risk: Loss given default (LGD)
Exposure: Exposure at default (EAD)
I t l R ti B d A h
B i C t
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Internal Rating Based ApproachBasic Concept
State Bank of Pakistan
The appropriate default threshold for average conditions is determined byapplying the inverse normal distribution function to the average PD
Further , the required appropriately conservative value of the systematic riskfactor can be derived by applying the inverse of the normal distribution function to
the predetermined supervisory confidence level.
A correlation-weighted sum of the default threshold and the conservative value ofthe systematic factor yields a conditional (or downturn) default threshold.
In a second step, the conditional default threshold is used as an input into theoriginal Merton model and is put forward in order to derive a conditional PD.
Mechanics of the IRB approach
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Mechanics of the IRB approach
State Bank of Pakistan
Calculation of Provisions
maximum of 1.25% of total Risk Weighted Assets.
Total Provisions = specific + general provisionprovision (equity)
Expected loss to be calculated for
1. assets subject to IRB Approach
2. Equity Exposure subject to PD LGD Approach
3. Equities subject to PD/LGD Approach
4. Specialized lending using supervisory slotting criteria for IRB
5. HVCRE
Expected Loss = PD x LGD x EAD
Mechanics of the IRB approach
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Mechanics of the IRB approach
State Bank of Pakistan
Expected lossall provisions
If there is surplus, it can be part of tier 2 subject to a maxof 0.6% of RWA
If there is a deficit it will deducted 50% from tier 1 and50% from tier 2
EL for equity exposures to be deducted 50% from tier 1and 50% from tier 2
Partial Adoption of IRB: provisions should be calculatedon pro rata basis
Mechanics of the IRB approach
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Mechanics of the IRB approach
State Bank of Pakistan
Categorization of exposures
Corporate
Sovereign
Bank
Retail
Equity.
1. Project Finance2. Object Finance
3. Commodities Finance4. Income Producing Real Estate
5. High Volatile Commercial Real
Estate
1. Residential Mortgage
2. Qualifying Retail Exposure3. Other Retails
Mechanics of the IRB approach Types
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Mechanics of the IRB approach- Types
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1. Foundation IRBbanks provide their own estimates of PD and rely on
supervisory estimates for other risk components.
2. Advanced IRBbanks provide more of their own estimates of PD, LGD
and EAD, and their own calculation of M, subject to
meeting minimum standards.
For both the foundation and advanced approaches,
banks must always use the risk-weight functions
Mechanics of the IRB approach
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Mechanics of the IRB approach
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Adoption of the IRB approach across asset classes1. Once a bank adopts an IRB approach for part of its holdings
2. supervisors may allow banks to adopt a phased rollout of the IRB
approach across the banking group. The phased rollout includes
a. adoption of IRB across asset classes within the samebusiness unit (or in the case of retail exposures across
individual sub-classes)
b. adoption of IRB across business units in the samebanking group and
c. move from the foundation approach to the advanced
approach for certain risk components.
Rules for corporate sovereign and bank exposures
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Rules for corporate, sovereign, and bank exposures
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Formula for derivation of risk-weighted assets
Firm-size adjustment for small- and medium-sized entities (SME)
Rules for Assets subject to double Default
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Rules for Assets subject to double Default
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Formula for derivation of risk-weighted assets
Specialized Lending
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Specialized Lending
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Mapping of Supervisory categories with ECAIs
50% 70%
70% 95%
Rules for Equity Exposures
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Rules for Equity Exposures
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1. Market-based approach
Simple risk weight method
Internal models method
2. PD/LGD approach
Similar to risk weight calculation for corporate subject following
conditions
LGD floor is kept at 90%
For long term equity holdings the risk weight floor will be100%
For short term holding the same floor is 200% for publically
traded and 300% for non traded equity holdings.
300% 400%
200% 300%
Rules for Retail Exposures
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Rules for Retail Exposures
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Residential mortgage exposures
Qualifying revolving retail exposures
Other retail exposures
IRB approach- Risk Components Revisited
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IRB approach- Risk Components Revisited
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1. Probability of Default (PD)Measured in percentage over a time horizon of 1 year
a. Actual Default Observed
b. Mapping with the ECAIs
c. Statistical Model
IRB approach- Risk Components Revisited
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IRB approach- Risk Components Revisited
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2. Loss Given DefaultThe percentage of exposure that bank will loose in case of default.
Sub-ordinate 75%
Unsecured = 45%
In addition to comprehensive approach following collaterals are also eligible
3. Exposure at Default
IRB approach- Risk Components Revisited
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IRB approach- Risk Components Revisited
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Loan in cash of 1000, with a remaining maturity of 5 years, to a corporate with an
internal grade of 3 (pd .05). The loan is secured by debt securities issued by a bank with
an external rating of AA. The debt securities have a remaining maturity of 7 years and amarket value of USD 500. Additional collateral, in the form of commercial real estate,
with a market value of 500 and a mortgage lending value of 300 secures the loan.
IRB Approach Minimum Requirement
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IRB Approach Minimum Requirement
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Rating system designThe term ratingsystem comprises all of the methods, processes,
controls, and data collection and IT systems that support the
assessment of credit risk, the assignment of internal risk ratings, and
the quantification of default and loss estimates
Perceived and measured risk must increase as credit quality
declines from one grade to the next
A bank must define risk of each grade and the criteria used todistinguish that level of credit risk
IRB Approach Minimum Requirement
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IRB Approach Minimum Requirement
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Rating dimensions-corporate, sovereign and bank exposuresA qualifying IRB rating system must have two separate and distinct dimensions:
the risk of borrower default
transaction-specific factors.
foundation IRB banks, this requirement can be fulfilled by the
existence of a facility dimension, which reflects both borrower and
transaction-specific factors. Where a rating dimension reflects ELand does not separately quantify LGD, the supervisory estimates of
LGD must be used.
IRB Approach Minimum Requirement
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IRB Approach Minimum Requirement
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Rating dimensions-Retail exposures
1. must be oriented to both borrower and transaction risk2. Banks must assign each retail exposure for IRB purposes into a particular
pool. Each pool gives a meaningful differentiation of risk
3. For each pool, banks must estimate PD, LGD, and EAD.
4. Multiple pools may share identical PD, LGD and EAD estimates.
5. At a minimum, banks should consider the following risk drivers whenassigning exposures to a pool:
Borrower risk characteristics (e.g. borrower type, demographics such as
age/occupation);
Transaction risk characteristics, including product and/or collateraltypes (e.g. Loan to value measures, seasoning, guarantees; and seniority
(first vs. second lien)).
Delinquency of exposure: Banks are expected to separately identify
exposures that are delinquent and those that are not.
IRB Approach Minimum Requirement
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IRB Approach Minimum Requirement
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Rating structure
1. Standards for corporate, sovereign, and bank exposuresA bank must have a meaningful distribution of exposures across grades with no
excessive concentrations, on both its borrower-rating and its facility-rating
scales.
must have a minimum of seven borrower grades for non-defaulted
borrowers and one for those that have defaulted.
Banks using the supervisory slotting criteria for the SL asset classes must
have at least four grades for non-defaulted borrowers, and one for
defaulted borrowers.
There is no specific minimum number of facility grades
2. Standards for Retail exposures
For each pool identified, the bank must be able to provide quantitative measures of
loss characteristics (PD, LGD, and EAD) for that pool.
IRB Approach Minimum Requirement
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IRB Approach Minimum Requirement
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Rating assignment horizon
Although the time horizon used in PD estimation is one year,banks are expected to use a longer time horizon in assigning
ratings.
rating must represent the borrowers ability and willingness to
contractually perform despite adverse economic conditions or the
occurrence of unexpected events.
Use of models The burden is on the bank to satisfy that a model or procedure has good predictive
power
The bank must have in place a process for vetting data the judgment must take into account all relevant and material information not
considered by the mode
The bank must have procedures for human review of model-based rating
assignments.
The bank must have a regular cycle of model validation
IRB Approach Minimum Requirement
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IRB Approach Minimum Requirement
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Documentation of rating system design
Banks must document in writing their rating systems design andoperational details
If statistical models are used, the bank must document their
methodologies
outline of the theory, assumptions and/or mathematical and
empirical basis of the assignment of estimates of
Establish a rigorous statistical process
Indicate any circumstances under which the model does not
work
Use of a model obtained from a third-party vendor that claimsproprietary technology is not a justification for exemption
from documentation
IRB Approach Minimum Requirement
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IRB Approach Minimum Requirement
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Risk rating system operations
Coverage of ratings
Integrity of rating process
Overrides
Data maintenance
Stress tests used in assessment of capital adequacy
Corporate governance and oversight
Use of internal ratings
Risk quantification
Basel II - Pillar 1 Capital Charge for Credit Risk
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Basel II Pillar 1 Capital Charge for Credit Risk
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Internal Rating Based Approach
Basel II prescribes a risk weight function which gives capital requirement & RWAusing the risk components
Example: Risk Weight Function & other formulas for Corporate Sovereign and BankExposures
Correlation (R) = 0.12 x (1-exp(-50xPD))/(1-exp(-50))+0.24 x [1-(1-exp(-
50xPD)/(1-exp(-50))]Capital Requirement (K) = LGD x N[(1-R)^-0.05 x G(PD) + (R/(1-R)^0.5 x G(0.999)]PD x
LGD] x(1-1.5 x b)^-1 x (1+(M-2.5) x b)
Risk-weighted assets (RWA) = K x 12.5 x EAD
Similar formulas with slight modifications are for other exposure types (Retail, SMEs etc) The difference between FIRB & AIRB is the calculation of Risk Components PD, LGD
Foundation IRB Only PD to be calculated by bank Risk components LGD & EAD
Advanced IRB All Risk components to be calculated by bank itself
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Capital Charge For Market Risk
Basel IIOverall framework
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Three Mutually Reinforcing Pillars
Pillar 3: Market
Discipline
Pillar 2: Supervisory
Review Process
Pillar 1: Minimum
Capital Requirement
Definition of CapitalRisk Weighted Assets
Credit Risk Market RiskOperational Risk
Internal
Rating Based Approach
(IRB)
Basic Indicator
Approach
Standardized
ApproachAMA
Standardized
Approach
Internal Model
Based Approach
Supplementary
Capital
Core Capital
tandardized
Approach
Capital Charge For Market Risk
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p g
Definition:
Market risk is the risk of loss in on and off-balance
sheet positions due to adverse movement of market
factors. Consequently it encompass;
Interest rate risk
Equity Price Risk
Foreign Exchange risk &
Commodity price risk.
Capital Required = Sum of Capital Charge for all these 4 Risk sub categories
Tier 3 Capital
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p
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Short term subordinated debt with a minimum
maturity of 2 years is allowed to be tier 3 capital.
It shall be exclusively for market risk
Shall be limited to 250% of tier 1 that is availableto support market risk i.e. at least 28.5% of capitalrequirement against Market Risk has to be metfrom tier 1.
Tier 2 elements may be substituted for tier 3provided tier 3 capital will be limited to 250% oftier 1 that is required to support market risk.
Calculation of CAR (Cont..)
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The first step is to calculate risk weighted assets (for credit risk)
Then,
The second step is to calculate risk weighted assets subject to market risk capitalcharge. The methodology provides calculation of market risk capital chargedirectly. So in order to ensure consistency assuming this capital charge is 8% ofrisk weighted assets, it is multiplied by 12.5 to obtain risk weighted assets for
market risk. Then overall CAR is,CAR ( credit risk) =
Tier 1 + Tier 2
Risk weighted assets
CAR ( overall ) =
Tier 1 + Tier 2 + Tier 3
RWA( credit) + RWA( Market)
Min 28.5% of
Capital chargeFor market risk
To be covered
By tier 2
>250% of tier 1
i.e. 72% of
Capital charge
For market risk
Charge.
two broad methodologies for calculation of risk charge
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1. Standardized Approach.
2. Internal Model Based Approach
Banks are allowed to adopt any of the two methodologies subject
to approval of national supervisory authority. However the laterrequire certain preconditions such as bank have proper riskmanagement framework, models being used to measure risk haveproven track record and bank regularly conducts stress tests etc.
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The capital requirement against interest rate risk apply
only on trading book positions
The minimum capital for IRR is sum of two separately
calculated charges i.e.
Specific Risk. Apply to each security position whether it is
short or long (basically to cover credit risk)
General Market risk. It is the capital requirement onportfolio basis, where long and short positions can be
offset subject to certain conditions
Capital charge for IRR - Specific Risk
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Government
qualifying
other
0.00%
0.25% (residual term to finalmaturity 6 months or less)
1.00% (residual term to finalmaturity between 6 and 24months)
1.60% (residual term to finalmaturity exceeding 24 months)
8.00%.
The specific risk charge is graduated in five broadcategories as follows:
Capital charge for IRR general Market Risk
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p g g
All debt securities and other sources of interest rateexposures including derivatives are slotted into amaturity ladder comprising of thirteen time bands
The general market risk is the sum of
a. A small portion of matched position in each time band(vertical disallowance)
b. A larger portion of the matched position across differenttime bands (horizontal disallowance)
c. The net short or long position in the whole trading book
Capital charge for IRR general Market Risk
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Before calculating net positions within timebands or across time bands all long and shortpositions are multiplied with certain sensitivityweights. There are two methodologies to do so
1.Maturity method, wherein these sensitivitynumbers are predefined
2.Duration method wherein these sensitivityweights are duration of the asset calculated onthe bases of assumed change in yield prescribedby Basel I.
Maturity method
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y
Coupon 3% or more Coupon less than 3% Weights %
1 month or less 1 month or less 0
1 to 3 months 1 to 3 months 0.2
3 to 6 months 3 to 6 months 0.4
6 to 12 months 6 to 12 months 0.7
1 to 2 years 1 to 2 years 1.25
2 to 3 years 2 years2 to 3 years 1.75
3 to 4 years 3 to 4 years 2.25
4 to 5 years 4 to 5 years 2.75
5 to 7 years 4 to 5 years 3.25
7 to 10 years 5 to 7 years 3.75
Duration Method
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Example IRR-General market Risk
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Example IRR General market Risk
Suppose a bank has following positions in its trading portfolio;
A 4% government bond having market value 15 million and residual maturityof 6 months.
A 3% qualifying bond having market value 12 million, residual maturity 2months.
An interest rate swap, Rs 150 million, bank receives floating rate interest andpays fixed next fixing after 9 months, residual life of swap 8 years.
An interest rate swap with face value Rs 30 million and residual maturity 2.5years. Bank receives fixed at 7% and pays floating rate of 5.5%. Next repricing
after 4 months.
A nine versus fifteen, Forward Rate Agreement sold on 6 months KIBOR withnominal amount Rs 20 million and settlement date after nine months.
Example (Cont..)Zone 1 Zone 2 Zone 3
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Time
Band0-1 1-3 3-6 6-12 1-2 2-3 3-4 4-5 5-7 7-10 10-15 15-20 Over 20
Position +12 -30 +150 +20 +30 +15 -150
-20
Weights
%0 0.2 0.4 0.7 1.25 1.75 2.25 2.75 3.25 3.75 4.5 5.25 6
Weighted
positions
0.024 -0.12 1.05
-0.14
0.25 0.525 0.488 -5.625
Vertical
Disallowance
0.14 x
10%=0.014
Position
AfterV D0.024 -0.12 0.91 0.25 0.525 0.488 -5.625
H.D 1 = 0.12 x 40% = 0.048 0.488 X 40% = 0.195
position 0.814 0.775 -5.137
H D 2 0.814 = 0.775 x 40% = 0.31 Remaining Position = - 4.362
H D 3 0.814 X 100% = 0.814 Remaining position = - 3.548
Capital Required = V. D +H. D + overall open position
Capital Charge for Equity Price risk
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The instruments covered include common stocks,
convertible securities that behave like equities, andcommitments to buy or sell equity securities. The Capitalrequirement is sum of
1.specific risk capital charge that is against individual stock/security
(netting not allowed) which will be 4%2.General market risk is calculated on portfolio basis i.e. net positionin a market which shall be 8%
Both calculated on market value of positions. Further theAsset subject to this capital requirement shall be given 0%Risk weight while calculating credit risk capital charge.
Capital charge for Foreign Exchange Risk.
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Capital charge for Foreign Exchange Risk.
The capital charge for foreign exchange risk apply to FCYexposures throughout banks balance sheet.
It is simply 8% of the overall net open position of the bank
The calculation of open position is the same as prescribed inF.E manual.
Howevera.Banks that have foreign currency business, defined as the greater of thesum of its gross long positions and the sum of its gross short positions inall foreign currencies, does not exceed 100% of eligible capital andb. their overall net open position does not exceed 2% of eligible capital
are exempted from holding capital against F.E risk.
Internal Model Based Approach.
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1
2
- 1
- 2
Time (days)
Suppose portfolio of a single asset. The price volatility of asset over past hundred days
is as plotted below.
Internal Model Based Approach
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If Assets Value is 60 million and 5% of times the
return are below 3% ThanOne day VaR at 95% confidence level
= 60 x 3% = 1.8 m
- 4 - 3 - 2 - 1 0 1 2 3 4
No
of
Occurrences
Daily Return
5% of area
Internal Model Based Approach
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Banks that are allowed by their supervisory agency touse internal models to calculate capital requirementshould hold capital
Equivalent to previous day var amount or
Average of past 60 days var multiplied by aconstant factor (minimum 3) whichever is higher.
VaR is required to be calculate at 99% confidencelevel at 10 day time horizon.
Internal Model Based Approach
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Quantitative Standards
VaR is computed on daily basis
Confidence interval 99%,
Bank can use any model
Stress testing
External validation
Internal Model Based Approach
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1. Qualitative standards e.g Board and senior management oversight
Independent risk control unit
Routine and rigorous stress testing
Independent review of the risk measurement
system
Basel II - Pillar 1 Capital Charge for Operational Risk
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Defined as risk of loss from inadequate or failed internal processes, people andsystems, or from external events
Examples of risks covered
Internal and external fraud
Legal risks
Damages to customers
Losses arising out of labour, health and safety, diversity, personal injury, etc.
Damage to physical assets
Business interruption
Examples of risks not covered
Reputational risk
Strategic errors
Basel II - Pillar 1 Capital Charge for Operational Risk
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Basic Indicator Approach
15% ofbanks average annual gross income over previous three years
Standardised Approach
Capital charge for each of 8 business lines calculated against average annual gross income for
business line times:
18% for corporate finance
18% for trading and sales
12% for retail banking
15% for commercial banking
18% for payment and settlement
15% for agency services
12% for asset management
12% for retail brokerage
Advanced Measurement Approach
Calculated on basis of internal operational risk management system approved by national
regulator
Basel IIPillar II Supervisory Review Process
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Four key principles of supervisory review
Principle 1: Banks should have process for assessing overall capital adequacy in relation to riskprofile and strategy for maintaining capital levels. Five main features of rigorous process:
Board and senior management oversight
Sound capital assessment
Comprehensive risk analysis (credit risk, operational risk, market risk, interest rate risk in
banking book, liquidity risk, other risk)
Monitoring and reporting
Internal control review
Principle 2: Supervisors should review and evaluate banks internal capital adequacy assessments
and strategies, as well as ability to monitor and ensure compliance with ratios. Supervisors should
take appropriate action if not satisfied.
Principle 3: Supervisors should expect banks to operate above minimum ratios and should have
ability to require banks to hold capital in excess of minimum
Principle 4: Supervisors should seek to intervene at early stage and require rapid remedial action
Basel IIPillar II Supervisory Review Process
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Specific issues Interest rate risk in banking book: Basel II treats interest rate risk under Second Pillar of
supervisory review (rather than First Pillar of regulatory capital) due to differences in methods
banks use to handle risk
Credit risk: Supervisory review is appropriate to regulate stress tests under IRB approach,
definition of default used to determine PD and/or LGD and EAD, residual risk, credit
concentration risk and operational risk
Other issues Supervisory transparency and accountability: Supervisors should make publicly
available criteria used in review ofbanks internal capital assessments
Enhanced cross-border communication and cooperation: Basel Committee supportspragmatic provision of close and continuous dialogue between industry participants
and supervisors, as well as between supervisors (without changing legal
responsibilities of national regulators).
Basel IIPillar III Market Discipline
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Impose market discipline on banks by requiring disclosure of key information relevant to
banks risks and capital
Why Enhanced Disclosure? Complements regulatory capital requirements and the supervisory review
process
Reliable and timely information allowing well founded counterparty riskassessments
Provides banks with an incentives to maintain a strong capital base
Enhance role of market participants in encouraging banks to hold adequate
levels of capital
General Disclosure PrincipleBanks should have a formal disclosure policy approved by the board of directors . In
addition , banks should implement a process for assessing the appropriateness of their
disclosures , including validation and frequency of them.
Basel II - Overview
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Disclosure Requirements
Attached to the use of a particular methodology or instrument
Pre-condition for the use of some methodologies
Internal ratings-based approach
Asset securitization
Recognition of external credit assessment institutions
Types of Disclosures Qualitative
Quantitative