The New Basel A ccord and Credit
Risk M anagement
Ram Pratap Sinha †
The p ap er d iscusses in brief the imp licatio ns Basel II regard ing
assessment of credit risk in the commercial banking sector under both
the standardized approach and the foundation and advanced Internal
Rating Based A p p ro ach. The p ap er also p ro v id es a brief rev iew o f
so me o f the po pular cred it risk mo d els and d iscusses the impo rtant
issues relating to the integratio n o f po rtfo lio cred it risk mo d els w ith
the risk b u c ket ru le o f BC BS ( Basel C o m m ittee o n Banking
Supervisio n). Finally, the paper pro vid es a brief o verview o f the RBI
initiatives regard ing migratio n to Basel II in the Ind ian co ntext.
Introduction :
financial instruments like acceptances,
inter-bank transactions, trade financing,
foreign exchange transactions, financial
futures, sw aps, bonds, equities, options
and in guarantees and settlement o f
transactio ns. The go al o f cred it risk
management is to maximize a bank's
risk- ad ju sted rate o f retu rn b y
maintaining credit risk exposure w ithin
co ntro l levels. The ad vent o f capital
ad equacy no rms has ad d ed ano ther
dimension to the process of credit risk
management. Banks need to manage the
cred it risk bo th fro m ho listic and
individual perspective and they should
have the ability to identify, measure,
monitor and control credit risk, as w ell
as, to ensure that they hold adequate
capital against these risks.
C red it risk c an b e d ef ined as the
p o tential that a bank's bo rro w er o r
c o u nterp arty m ay fail to m eet its
obligations. It is the possibility of losses
associated w ith diminution in the credit
quality of borrow ers or counterparties.
In a bank's portfolio, losses arise from
o utright d efault d ue to inability o r
unw illingness of counterparty to meet
c o m m itm ents relativ e to lend ing ,
trading, settlement and other financial
transactions.
For the commercial banks, loans are the
prime source of credit risk since the major
share of interest income of a commercial
bank comes from fund based activities.
However, there are other sources of credit
risk on account of both on and off balance
sheet exposures. Commercial banks are
exposed to counter party risk in various
†
Dr. Ram Pratap Sinha is an A sso ciate Pro fesso r o f Eco no mics, Go vernment Co llege o f Engineering
A nd Leather Techno lo gy, Salt Lake, Ko lkata-700098
MANAGEMENT AND LABOUR STUDIES
337
Vol. 35 No. 3, August 2010
The New Basel A ccord and Credit Risk M anagement
ad equacy w as usually measured in
terms of gearing ratios, all balance sheet
assets w ere g iv en equal w eig hting
regardless of their underlying risk and
o f f b alanc e sheet item s w ere no t
considered for the computation of capital
adequacy.
Scope and Organisation of the Paper :
The objective of the paper is to discuss
the fundamental issues in credit risk
management in the context of Basel II
norms for capital adequacy and the best
practices o bserved in the d evelo ped
country commercial banking sector. The
paper pro ceeds as fo llo w s: Sectio n 1
d isc u sses the Basel C o m m ittee
stipulations relating to assessment of
credit risk for the purpose of determining
capital adequacy. Section 2 provides an
overview of credit risk and credit risk
mo d eling. Sectio n 3 d iscusses so me
im p o rtant issu es relating to the
co mp utatio n o f reg ulato ry cap ital.
Section 4 discusses the RBI policy on
cred it risk m anag em ent. Sectio n 5
concludes.
Base II on Credit Risk :
The 1988 Basel A ccord proposed that
cap ital ad equacy o f banks is to be
m easu red in resp ec t o f their risk
w eighted asset exposures. For this, the
Committee considered credit risk only.
In this c o ntext, tw o p o ints need
elaboration: (i) the constituents of capital
(ii) the risk w eights corresponding to
various asset categories.
(a)
Section 1 : Basel Committee on Credit
Risk A ssessment
The Basel Co mmittee co ncluded
that bank capital for regulatory /
supervisory purposes is to include
tw o tiers. The tier I c ap ital
co mprises o f equity capital and
published reserves from post tax
retained earnings. The tier II capital
includ es und isclo sed reserv es
rev alu atio n reserv es, g eneral
p ro v isio ns / g eneral lo an lo ss
reserv es, hy b rid d eb t c ap ital
instruments and subordinated term
d ebt fo r co mputatio n o f capital
g o o d w ill and inv estm ents in
subsidiaries (engages in banking
and financial activities which are not
consolidated national systems) are to
be deducted. The definition of capital
is unchanged under Basel II.
H isto rically , bank reg ulato rs hav e
co nsid ered the attainment o f capital
adequacy by commercial banks as one
of the most important ingredients for the
p reserv atio ns o f b ank saf ety and
so und ness. Ev en in the nineteenth
century, such safety considerations led
to the imposition of various forms of
regulatory standards on the commercial
banking system. Inter alia these included
an unlimited liability on bank ow ners
in Scotland w hich continued up to 1862
and a d o uble liability system in the
United States since 1863 w hich implied
that bank share holders could lose twice
on their bank investment.
In the tw entieth century extend ed /
unlimited liability systems came to be
rep lac ed b y m inim u m c ap ital
requirements and capital to liability /
asset stand ard s. H o w ev er, c ap ital
MANAGEMENT AND LABOUR STUDIES
The Constituents of Capital :
(b)
The Risk W eights Corresponding
to V arious A sset Categories :
The Basel Accord (I) concluded that
338
Vol. 35 No. 3, August 2010
The New Basel A ccord and Credit Risk M anagement
the various balance sheet and off
b alanc e sheet exp o su res o f
c o m m erc ial b anks are to b e
m u ltip lied b y risk w eig hts
proposed by BCBS. The Committee
used o nly five risk w eights 0%,
10%, 20%, 50% & 100%. The 1988
Accord concentrated only on credit
risk and country transfer risk. In
respect of off balance sheet items,
the exposures are to be multiplied
by sp ecified cred it co nv ersio n
factors so that they can be converted
into their credit equivalents and
then appropriate risk w eights are
to b e ap p lied . The A c c o rd
stip u lated that b anks w ill b e
required to maintain a minimum of
8% capital in relation to their risk
w eighted assets (RW A ). Tier I
capital sho uld be at least 4% o f
RWA.
the BIS proposed a new capital adequacy
frame w ork (1999) also know n as Basel
II. The characteristic feature of Basel II is
that it uses a three p illar ap p ro ach
consisting of:
The Basel I system came to be criticized
by co ncerned parties o n three majo r
grounds:
It gave an equal risk w eighting to
all corporate credits irrespective of
the differences in their underlying
credit risks.
ii)
It f ailed to rec o g niz e that b y
u nd ertaking c red it p o rtf o lio
d iv ersificatio n banks can hav e
potential capital savings
iii)
It led to extensive regulatory capital
arb itrag e w hic h ad d s to the
riskiness of bank asset portfolios
b)
a sup erv iso ry rev iew p illar to
ensure that the bank's capital is
aligned to its actual risk profile and
c)
a m arket d isc ip line p illar to
enhance the role of other market
p artic ip ants in ensu ring that
ap p ro p riate cap ital is held by
prescribing greater disclosure.
(a)
M inimum Capital Requirement :
In so far as credit risk is concerned,
commercial banks under Basel II
have tw o options available:
Basel II : The N ew Capital A dequacy
Framework
Given the experience w ith Basel (1988),
MANAGEMENT AND LABOUR STUDIES
a minimum capital requirement
pillar
Under Pillar I, the BCBS replaced
the one size fits-all framew ork set
o ut in the 1988 A cco rd w ith a
variety of options. A s per Basel II,
c o m m erc ial
b anks,
w ith
authorization of their supervisor,
can choose form among a number
o f o p tio ns d ep end ing o n the
c o m p lexity
of
their
risk
management.
W eaknesses of Basel I :
i)
a)
339
i)
Less complex banks can adopt
a stand ard iz ed ap p ro ac h
b u ild ing u p o n the 1988
A ccord and introducing the
u se o f external c red it
assessments.
ii)
Banks p o ssessing m o re
advanced risk management
capabilities (with the ability to
meet v igo ro us sup erv iso ry
stand ard s) c an f o llo w an
Vol. 35 No. 3, August 2010
The New Basel A ccord and Credit Risk M anagement
internal rating s b ased
ap p ro ac h.
Und er
this
ap p ro ach, so me o f the key
elements of credit risk, such as
the probability of default of
the b o rro w er, w ill b e
estim ated internally b y a
bank.
specific risk pro file and co ntro l
environment. This internal process
could then be subject to supervisory
rev iew and interv entio n w here
appropriate
(c)
Finally, in the New A cco rd, the
Committee laid dow n disclosure
req u irem ents
and
recommendations which will allow
m arket p artic ip ants to assess
critical information describing the
risk profile and capital adequacy of
banks. The proposals thus contain
more detailed guidance on three
aspects: the disclosure of capital
struc ture, risk exp o sures and
capital adequacy.
The committee also proposed an
exp lic it c ap ital c harg e f o r
operational risk which refers to the
risk o f d irec t / ind irec t lo ss
resulting from in adequate or failed
internal p ro c ess, p eo p le and
systems or from external events.
Three alternatives w ere suggests
for the computation of operational
risk
i)
(b)
a stand ard iz ed ap p ro ac h
w hich relies on industry w ise
loss data
ii)
internal
m easu rem ent
approach w hich uses bank's
ow n loss data multiplied by a
formula for expected loss and
iii)
lo ss d istributio n ap p ro ach
w hich allow s the bank to use
its ow n probability analysis.
T he S tand ard iz ed A p p roach f or
M easurement of Credit Risk :
A s indicated earlier, one alternative for
the commercial banks under Basel I is to
measure credit risk in a standardized
method on the basis of external credit
assessm ents. The stand ard iz ed
approach, w hile having a less complex
fo rmat, attempts to align regulato ry
capital requirements by pro vid ing a
w ider category of risk w eights and a
w id er rec o g nitio n o f c red it risk
mitigation techniques.
Supervisory Review Process :
The Basel II A ccord has affirmed
the importance of the supervisory
rev iew p ro c ess as a c ritic al
component to the minimum capital
req u irem ents. The A c c o rd ,
therefore, laid dow n procedures
through w hich supervisors ensure
that each banks has sound internal
p ro cess in p lace to assess the
ad equacy o f its cap ital and set
targ ets f o r c ap ital that are
co mmensurate w ith the bank's
MANAGEMENT AND LABOUR STUDIES
M arket Discipline :
Risk W eights Under Basel II :
The new BIS proposal envisaged a major
chang e in resp ect o f risk rating o f
co rp o rate lo ans. A s p er Basel I, all
co rp o rate lo ans hav e the same risk
weight of 100%. Under the new proposal
there are three stages.
i)
340
For corporate borrowers rated AAA
Vol. 35 No. 3, August 2010
The New Basel A ccord and Credit Risk M anagement
to A - by authorized rating agencies
(like S&P, Mo o dy's etc) the risk
w eight is 20%
ii)
(d)
sho uld d isclo se qualitative and
q u antitativ e
inf o rm atio n.
Q ualitativ e d isclo sures enable
u sers to c o m p are assessm ent
m etho d s and id entify relativ e
strengths/ w eaknesses. Thus it is
essential to have information such
as the definition of default, the time
ho riz o n, and the targ et o f the
assessm ent.
Q u antitativ e
disclosures provide information on
the actual default rates experienced
in eac h assessm ent c lass and
inf o rm atio n o n c red it q u ality
migration. i.e. the likelihood of an
A A A g rad e instru m ent b eing
downgraded to AA etc over time.
For the borrow ers rated below B,
the risk w eight increases to 150%.
External Credit A ssessment :
The d eterm inatio n o f risk w eig hts
corresponding to any security under the
stand ard ized ap p ro ach d ep end s o n
external agency provided credit rating.
C o nseq u ently , the so u nd ness and
reliability of the agencies performing the
assessments are critical to the effective
functioning of the new system. In view
o f this, Basel II p laced the o nus o f
rec o g niz ing external c red it rating
agencies o n the resp ectiv e natio nal
banking sector supervisors. In view of
this, the rating agencies should fulfill the
follow ing criteria:
(a)
(e)
O bjectivity : The methodology of
cred it rating must be rigo ro us,
systematic, amenable to validation
based on historical experience and
responsive to changes in financial
condition.
(b)
In the simplified Standardized Approach
the bro ad BCBS sug g estio n fo r the
alignment of risk weights corresponding
to the rating grades assigned by the
external credit rating agency (in respect
of claims on sovereigns/ central banks
and claims on banking and securities
firms0are p ro v id ed in Table 1. The
stand ard risk w eig ht fo r claims o n
c o rp o rate ( inc lu d ing c laim s o n
insurance companies) is 100%.
Independence : A cred it rating
Rating T ransp arency : The
ind ivid ual assessments must be
av ailable to bo th d o mestic and
f o reig n b anks w ith o u t any
discrimination.
MANAGEMENT AND LABOUR STUDIES
Resources and Credibility : A n
external c red it rating ag enc y
should have sufficient resources to
carry o ut cred it rating o f high
quality.
Risk W eights Corresponding to the
External Credit Rating Agency Provided
Rating Grades :
agency sho uld be ind ep end ent
f ro m p o litic al o r ec o no m ic
pressures that may influence the
rating.
(c)
Disclosure : A credit rating agency
341
Vol. 35 No. 3, August 2010
The New Basel A ccord and Credit Risk M anagement
Table1 : Exposure Rating G rades and Risk W eights (the Simplified Standardized
A pproach)
A sset Class
Risk Grades
1
2
3
4 to 6
7
Claims on sovereigns and central banks
0%
20%
50%
100%
150%
Claims on banks and securities firms
20%
50%
100%
100%
150%
BCBS (2003) : The N ew Basel Capital A ccord.
(ii)
T he Internal
Approach :
Computation of Risk W eights :
Rating Based
The computation of risk w eights under
the IRB ap p ro ach d ep end s o n the
exp ec ted lo ss f ro m an exp o su re.
Expected loss (EL) = {Expected default
frequency} x exposure at default (EA D)
x loss given default (LGD). Expected
default frequency (EDF) is the probability
that the borrower will default. Loss given
default (LGD) is the percentage of the
loan at default that is expected to be lost
in case of default by the borrow er.LGD
is a function of the seniority of the loan
and the type, quantity and quality of the
collateral.
The Internal Rating Based (IRB)
A p p ro ac h allo w s c o m m erc ial
banks to use their internal rating
sy stem s su b jec t to reg u lato ry
approval and periodic validation.
A s per the IRB approach, banks
must classify their exposures into
the fo llo w ing bro ad classes o f
assets: (a) corporate, (b) sovereign,
(c) bank, (d) retail, and (e) equity.
Each of the asset classes covered
under the IRB framework has three
key elements:
(a)
For most of the asset classes, the BCBS
has m ad e av ailab le tw o b ro ad
approaches under IRB: a foundation and
an advanced. Under the foundation IRB
ap p ro ach, banks p ro v id e their o w n
estimates of EDF. How ever, other risk
components are provided by the market
reg u lato r. Und er the ad v anc ed
approach, banks provide more of their
ow n estimates of EDF, LGD and EA D,
subject to meeting minimum standards.
In both cases, banks must always use the
risk w eight functions provided for the
p u rp o se
of
d eriv ing
c ap ital
req u irem ents. The f u ll su ite o f
approaches is described below :
Risk com p onents : The
estim ates o f risk f ac to rs
p ro v id ed by banks (so m e
estim ates are, ho w ev er,
provided by the supervisor).
(b)
Risk weight functions : The
functions through w hich the
risk
c o m p o nents
are
transf o rm ed
into
risk
w eig hted assets f o r the
purpose of determining capital
requirements.
(c)
M inimum requirements : The
minimum standards that a bank
must fulfill for using the IRB
approach for a given asset class.
MANAGEMENT AND LABOUR STUDIES
342
Vol. 35 No. 3, August 2010
The New Basel A ccord and Credit Risk M anagement
(a)
(b)
Corporate, Sovereign, and Bank
Exposures :
Section 2 : A Primer on Credit Risk and
Credit Risk M odeling :
Under the foundation approach,
banks must p ro v id e their o w n
estimates of EDF associated w ith
each of their borrow er grades, but
must use supervisory estimates for
the other relevant risk components.
The o ther risk co mp o nents are
LGD, EA D. Under the advanced
appro aches, banks may pro vide
their ow n estimates of EDF, LGD
and EAD.
A s w e have indicated in the beginning,
from a commercial bank's point of view,
credit risk is the risk o f default and
change in the credit quality of issuers of
sec u rities, c o u nter- p arties and
intermediaries, to whom the bank has an
exposure.
Inter alia, the fo llo w ing are the key
components of credit risk:
(i)
that a bank will not receive the cash
flows or assets to which it is entitled
because a party w ith w hich the
co mmercial bank has a bilateral
contract defaults on one or more
obligations (e.g. principal / interest
payment obligation)
The Specialized Lending categories :
There is an exception to this general
rule for the five sub-classes of assets
identified as Specialized Lending
(SL).These fiv e sub-classes are
Pro ject Finance, Object Finance,
Co m m o d ities Finance, Inco m e
Producing Real Estate and High
Volatility Commercial Real Estate.
Banks that d o no t m eet the
requirements for the estimation of
PD under the corporate foundation
approach for their SL assets w ill be
required to map their internal risk
g rad es to f iv e su p erv iso ry
c ateg o ries, eac h o f w hic h is
asso ciated w ith a sp ecific risk
w eight. This version is termed the
su p erv iso ry slo tting c riteria
ap p ro ach.. Banks that meet the
requirements for the estimation of
PD w ill b e ab le to u se the
foundation approach to corporate
exposures to derive risk weights for
all classes of SL exposures except
HVCRE. A t natio nal d iscretio n,
banks meeting the requirements for
HVCRE exposure will be able to use
a foundation approach.
MANAGEMENT AND LABOUR STUDIES
D irect D efault Risk : It is the risk
(ii)
Credit Quality M igration Risk : It
is the risk that chang es in the
possibility of a future default by a
borrow er w ill adversely affect the
present value of the contract w ith
the borrower today
(iii) Indirect Credit or Spread Risk : risk
d u e to m arket p erc ep tio n o f
inc reased risk ( i.e., p erhap s
because of the business cycle or
p erceiv ed cred it w o rthiness in
relatio n to
o ther m arket
participants)
(iv) Settlement Risk : risk arising from
the lag betw een the v alue and
settlem ent d ates o f Sec urities
transactions
(v)
Sovereign Risk : risk of exposure
to lo sses d ue to the d ecreasing
v alu e o f f o reig n assets o r
increasing v alue o f o bligatio ns
denominated in foreign currencies
343
Vol. 35 No. 3, August 2010
The New Basel A ccord and Credit Risk M anagement
(vi) C oncentration Risk : risk o f
exchange rates, unemp lo yment
rates etc. Thus default is closely
related to market movements - often
m arket p articip ants anticip ate
forthcoming credit events before
they actually hap p en. In fact,
default is a special case of rating
d o w ngrad e (by rating agencies)
w here the c red it q u ality has
deteriorated to the point so that the
borrow er can not service any more
the debt obligations. A n adequate
credit risk model should be able to
capture both migration risk and
d efault risk in a co nsistent &
integrated framework.
increased exposure to losses due to
concentration of investments in a
g eo g rap hic al area o r o ther
economic sector
(vii) Counterparty Risk : risk of changes
in values of contingent assets and
liabilities (i.e., such as sw aps that
are not otherw ise reflected in the
balance sheet).
Credit Risk M odeling
Credit risk model seeks to determine the
present value o f lo an expo sures and
fixed income instruments and thereby
tries to q u antif y the risk o f no nrealization of promised cash flows. Inter
alia, cred it risk mo d els perfo rm the
follow ing important functions:
(a)
Credit Risk M odeling : The Alternative
A pproaches :
(i)
Risk A ssessment and Rating :
Credit quality migration approach
c o nsid ers c red it risk to b e a
functio n o f the p ro bability o f
transition from one credit quality
to another (inclusive of default),
w ithin a given time frame (usually
one year). The probabilities in turn,
depend on rating agency provided
data i.e. they are average historical
transitio n frequencies. Presently
three models are described very
briefly : The Asymptotic Single Risk
Factor Model Credit Metrics, and
Credit Risk+.
C red it risk m o d els enab le
assessment o f risk po sitio n o f a
particular borrow er and thereby
enable the rating o f bo rro w ers/
b o rro w ing p ro g ram m es. Su c h
rating provides signal to the market
participants and greatly facilitates
the decision making such as credit
approval or having exposure to a
particular creditor ship security or
not.
It is to b e no ted here that
comprehensive modeling of credit
risk requires full integratio n o f
market and cred it risk. This is
because counterparty default by a
borrow er depends on (i) borrow er
specific factors and (ii) changes in
market and economic conditions as
reflected by changes in interest
rates, the sto ck market ind ices,
MANAGEMENT AND LABOUR STUDIES
The Credit Q uality M igration
Approach :
(a)
The Asymptotic Single Risk Factor
M odel of Portfolio Credit Risk:
The A symptotic Single Risk Factor
mo d el o f p o rtfo lio cred it risk intro d uced by Vasicek (1991) postulates that a borrower defaults
w hen the value of its assets falls
344
Vol. 35 No. 3, August 2010
The New Basel A ccord and Credit Risk M anagement
below some threshold. In addition,
the m o d el assu m es that asset
v alues are d riv en b y a sing le
common factor:
over a one year time horizon i.e. the
maximum possible loss in the value
of the portfolio during the period.
The model accommodates seven
credit quality states. The change in
the portfolio value depends on the
mo vements in the values o f the
individual instruments contained
in the p o rtf o lio w hile the
m o v em ents d ep end o n c red it
quality migration, the underlying
process is that of Merton (1974).
Vit =βiM t + √(1 - βi2)Z it
w here: V it is the value of assets of
borrow er i at time t; Mt and Z it
d eno te the c o m m o n and
idiosyncratic factors, respectively;
and β i [–1, 1] is the bo rro w erspecific coefficient for the common
f ac to r. The c o m m o n and
id io sy nc ratic
f ac to rs
are
ind ep end ent o f each o ther and
scaled to random variables w ith
mean 0 and variance 1.8 Thus, the
asset return correlation betw een
borrow ers i and j is given by. βi β j.
Merton identified that a lender is
effectively w riting a put option on
the assets of the borrow ing firm
w hereas shareholders hold the call
option. If the value of the firm g
below a certain threshold value, the
owners will put the firm to the debtholders. Consequently, a borrower
can be expected to default when the
value of its assets falls below some
cut o ff lev el. The cut o ff lev el
d ep end s o n the v alue o f firm's
liabilities. To illustrate this point,
consider a firm i having asset value
V it at time t, and an outstanding
stock of debt, D it. Under the Merton
m o d el d ef au lt o c c u rs at the
maturity date of the debt, t + n, if
the firm's assets, Vi, t + n, < Di, t + n
(face value of the debt at that time).
In the A SRF model, the probability
d istributio n o f d efault lo sses is
derived as follow s:
Let the ind icato r K it equal 1 if
borrower i is in default at time t and
0 o therw ise. Co nditio nal o n the
value of the common factor, the
expectation of the indicator equals
E(Kit/ M t) = Prob(Vit<F-1(PD it)/ M t)
= H{(F-1(PD it) - βiMt)/ √(1-βi2)}
w here PD it is the unco nd itio nal
probability that borrow er i is in
default at time t; the cumulative
distribution function (CDF) of Z it is
denoted by H(·); and the CDF of Vit
is F(·), implying that the default
threshold equals F–1(PD it).
(b)
Operationalisation of the Merton
framew o rk requires assumptio n
about the distribution function of
firm's asset value over time. The
Credit Metrics framework assumes
that a borrow er firm's asset value
V it follow s a standard geometric
Brow nian motion i.e.
M etrics (1996) w as
d ev elo p ed by the Risk Metrics
Group. In the case of credit metrics,
the objective is to determine the
value at risk of the credit portfolio
C red it
MANAGEMENT AND LABOUR STUDIES
V it = V 0 e {(µ- 62/ 2)t + 6 √tZt}
W here Z t is a stand ard W iener
345
Vol. 35 No. 3, August 2010
The New Basel A ccord and Credit Risk M anagement
process: Z t~N(0,1). µ and σ2 are the
m ean & v arianc e o f the
instantaneous rate of return on the
assets o f the firm d V t/ V t . The
dynamics of Vt is described by dVt/
V t = µ d t+ σd w t w here W t is a
standard Brow nian motion and √ t
Z t ≡ W t – W o is no rm ally
d istributed w ith z ero m ean &
v arianc e eq u al to t. V t is lo g
normally distributed with expected
value at time t, E(V t) = Vo e µ t.
factor loadings (Wi1, ... ,Wik) which
measure the sensitivity of borrower
i to each of the risk factors. Thus:
Pi(x) = Pm(i) (x1Wi1 + x 2Wi2 + ... +
xkWik)
Where Pm(i) is the unconditional
default probability for a grade m
borrow er and the x's are positively
valued w ith mean one.
(ii)
The c red it q u ality m ig ratio n
approach depends on tw o critical
but unrealistic assumptions. First,
all borrow ers included in the same
rating class have the same default
p ro bability . Seco nd , the actual
d efault rate and the histo rical
average default rates are identical.
The applicability of credit quality
migration approaches is therefore
open to questions.
In the Credit Metrics framework, the
risk-return relatio nship in the
co ntext o f firm's assets may be
described as: Ri = Ω i Xi + Yωi
W here R i is a latent v ariab le
asso c iated w ith b o rro w er i
representing the return from the
asset. Ri depends on tw o sets of
factors: the borrow er specific risk
factors represented by Xi and the
systematic risk factors represented
by Y. Ωi and ωi are the relative factor
loadings. A borrow er defaults if
Ri < D i (some threshold value).
(b)
There are tw o im p o rtant
methodologies for assessing firm
sp ecific d efault rate-the K M V
M odel (d evelo ped by the KMV
Corporation) and Credit Portfolio
V iew (developed by Mckinsey).
C red it Risk + : C red it Risk +
( d ev elo p ed b y C red it Su isse
Financial Products)is a model of
d efault risk. Each bo rro w er has
only tw o possible end of period
states, default and non-default. In
the event o f d efault, the lend er
suffers a loss of fixed size, this is
the lend er' s exp o su re to the
borrower.
In the KM V mo d el, the actual
probability of default (the Expected
Default Frequency) is derived for
each borrow er. The probability of
d efault in the KMV mo d el is a
f u nc tio n o f the f irm ' s c ap ital
structure, the volatility of the asset
returns and the current asset value.
Expected Default Frequencies can
be view ed as a cardinal ranking of
borrow ers relative to default risk.
In the Credit Risk+ framew ork, the
conditional probability of draw ing
a default for borrower i depends on:
(a) the rating grade m(i) of borrower
i (b) the realisation of risk factors
x (= x 1, ..., x k) and (c) the vector of
MANAGEMENT AND LABOUR STUDIES
Structural Credit Risk M odels:
Credit Portfolio View, developed by
Mckinsey, is a multifactor model
which attempts to simulate the joint
346
Vol. 35 No. 3, August 2010
The New Basel A ccord and Credit Risk M anagement
conditional distribution of default
and migratio n p ro babilities fo r
various rating groups in different
ind u stries, f o r eac h c o u ntry ,
conditional on the value of macro
ec o no m ic f ac to rs like the
unemplo yment rate, the rate o f
grow th in GDP, the level of long
term interest rates, foreign exchange
rates, government expenditures and
the aggregate savings rate. The
calibration of the model requires
that the user haves reliable default
data for each country, and possibly
for each industry sector within each
country.
information around the rest of the
portfolio. How ever, in any credit
risk model, the risk contribution an
individual exposure depends not
only on the exposure itself but also
on w hether the exposure is large
relative to the rest.
Go rd y (2003) sho w ed that if the
f o llo w ing tw o c o nd itio ns are
fulfilled , then a cred it risk mo d el
can p ro d uce risk co ntributio ns
that behave as risk bucket capital
ru l e s : ( i) There is o nly o ne
systematic risk factor that drives the
performance of all obligors. (ii) no
exposure in the portfolio accounts
individually for a significant share
of portfolio risk.
Section 3 : Computation Of Regulatory
Capital From Credit Risk M odels: Some
Important Issues
(i)
A s it has been mentioned earlier, Credit
risk models can be usefully applied for
computation of regulatory capital. The
Basel C o m m ittee o n Banking
Supervision (1999) undertook a detailed
study of how internal credit risk models
c an b e u tiliz ed f o r d eterm ining
reg ulato ry cap ital. The co m m ittee
acknow ledged that a carefully specified
credit risk model can provide a better
measure of portfolio credit risk. However,
there are several difficulties regarding
the application of credit risk models for
the computation of regulatory capital.
(a)
Finger (1999) developed a model
w here the assets of each obligor
depend o n o ne co mmo n market
index and a term w hich is peculiar
to individual obligors.
A i = f (Z, µi)
Where A i is the value of assets of
borrower i, Z = the common market
index, µi is the idiosyncratic factor
corresponding to borrower i. Z and
i are independent standard normal
variables. In the tw o state case,
where the borrower either defaults
o r no t (but d o es no t experience
rating migratio n), o ne has, w ith
respect to each borrow er, a default
threshold αi such that borrow er i
d efaults if A i < α i . The d efault
p ro b ab ility w ith resp ec t to
borrow er i is related to the default
threshold in the follow ing manner
: p i = φ ( αi), so that αi = φ-1 (p i).
Integration of Portfolio Credit Risk
M odels W ith Basel Risk Bucket
Capital Rules :
The BIS Capital Accord risk bucket
capital rule demands that capital
assigned to an individual exposure
is based only on the characteristics
o f the exp o su re and no t o n
MANAGEMENT AND LABOUR STUDIES
Treatment Of Systematic Risk :
347
Vol. 35 No. 3, August 2010
The New Basel A ccord and Credit Risk M anagement
(ii)
parameter n* is given by the inverse
of the portfolio Herfindahl Index.
1 (Σxi)2 (Tex)
n* = — = ——
= ——2
H Σxi2
Σxi
Treatment of The G ranularity
Problem :
In actuality bank portfolios are not
fine g rained . Ev en banks and
financial institutio ns w ith v ery
large asset base have geographical
and industrial concentrations. The
present Basel Capital A ccord takes
care of the problem of individual
b o rro w er c o nc entratio n ( the
granularity problem) through the
granularity ad d o n charge. The
granularity charge acco unts fo r
difference betw een the industry
average and the particular portfolio
in question. The granularity charge
can be either a charge or an offset
depending on whether the portfolio
in q u estio n is m o re o r less
co ncentrated than the stand ard
industry portfolio w hich is used as
the b enc hm ark b y the Basel
Committee.
( N o te: Exi is the exp o su re to
borrower i.)
If the exposure adjusted by GSF and
n* is greater than 4% of the portfolio
risk w eig hted assets, then the
granularity charge will be positive,
otherw ise the charge w ill actually
be an o ffset to acco unt fo r the
portfolio's relative diversification
in size.
The intro d uctio n o f granularity
c harg es rep resents a m ajo r
d ep arture fro m the risk bucket
capital approach in the sense that
it is derived from the entire portfolio
and not from individual positions.
In the risk bucket rule, computation
of capital charge for a prospective
new position is relatively simple
because capital is computed on a
stand -alo ne basis. In the new
system, the problem is solved by
assum ing that the g ranularity
charge is a homogenous function
of the position sizes. Consequently,
it is po ssible to d eco mpo se the
granularity charge as a sum over
all the positions :
The computation of the granularity
charge in the Basel Accord is based
on the Herfindahl Index.
The granularity adds on charge is
given by the formula :
G = Tex. GSF – 0.04 RWA
n*
w here Tex d eno tes the to tal
exposure, RWA denotes the total
risk
w eig hted
assets,
GSF(granularity scaling factor) is
an emp irically d eriv ed scaling
f ac to r w hic h d ep end s o n the
p o rtf o lio
av erag e
d ef au lt
probability, recovery rate and risk
sensitivity. n* is the size o f the
id ealized ho mo geno us po rtfo lio
that represents an equivalent risk
to the ac tu al p o rtf o lio . The
MANAGEMENT AND LABOUR STUDIES
G = Σx i ( ∂G/ ∂ Ex i)
(1)
w here ∂ G/ ∂ Exi = GSF {(2 Exi/
Tex)_(1/ n*)} – 0.004RW i
Here RW i is the risk w eight fo r
exp o sure i. To assess the true
regulatory capital corresponding to
position i, one needs to add the
position's share of the granularity
charge from (1) to the base capital
348
Vol. 35 No. 3, August 2010
The New Basel A ccord and Credit Risk M anagement
computed by using the risk bucket
rule.
defaults. To further illustrate this
point further, let us invoke the riskreturn relationship in the standard
Credit Metrics framew ork : Ri = Ω i
Xi + Yωi and borrow er i defaults if
Ri < Di. Now suppose there are n
rating grades. Suppose the initial
value of the asset is A i and after one
period, the value is V ij (for a credit
quality migration to grade j). If w e
are interested in measuring the
d o w nsid e risk o nly then the
Exp ected Lo ss (after o ne tim e
p erio d ) in the mark to market
framew ork is: EL = ΣVij Pij – A i.
In the event of a non-homogeneous
portfolio, the granularity charge
can be determined by using a tw o
step procedure. In the first stage, it
is essential to m ap the actual
p o rtf o lio to a ho m o g eneo u s
comparable portfolio by matching
moments of the loss distribution.
Gordy (2003) developed a matching
procedure based on five moments:
(i) expo sure-w eighted expected
default rate, (ii) expected portfolio
lo ss rate, (iii) co ntrib utio n o f
idiosyncratic default risk to loss
v arianc e, ( iv ) c o ntrib u tio n o f
idiosyncratic recovery risk to loss
variance and (v) contribution of
systemic risk to loss variance. In the
sec o nd stag e, the g ranu larity
c harg e is d eterm ined f o r the
constructed portfolio and the same
is then ap p lied fo r the actual
portfolio.
(b)
Section 4 : The RBI Policy on Credit
Risk M anagement :
According to the stand taken by the RBI,
credit risk management should receive
the prime importance at the bank level.
A bo ut 60% o f the to tal business risk
f ac ed b y c o m m erc ial b anks is
contributed by credit risk. As such credit
risk related problems emerge from factors
like the absence of credit standards, poor
p o rtfo lio risk manag ement and the
inability to assess the imp act o f an
economic dow nsw ing. A sound credit
risk m anag em ent sy stem sho u ld
therefore enable the commercial banks
to identify problems on a real time basis
and take ap p ro p riate c o rrec tiv e
measures.
Integration of Credit Risk M odels
W ith M ark to M arket Accounting :
The intro d uctio n o f p rud ential
accounting standards necessitate
that commercial banks and other
financial institutions follow mark
to market valuation of securities
inc lu d ed in their p o rtf o lio .
However, integration of the concept
of credit risk w ith that of mark to
market accounting is not an easy
proposition. For example, in the
credit quality migration framework,
potential loss is identified w hen
there is a rating d o w ng rad e.
How ever, no loss actually arises
until and unless the bo rro w er
MANAGEMENT AND LABOUR STUDIES
In A pril 1992, the Reserve Bank of India
introduced a risk asset ratio system for
both Indian and foreign banks operating
in India as a capital adequacy measure
in accordance with the Capital Adequacy
Norms prescribed by Basel Committee.
Su b seq u ently , the RBI issu ed its
Guideline on Credit Risk Management
in October 2002. The salient features of
349
Vol. 35 No. 3, August 2010
The New Basel A ccord and Credit Risk M anagement
RBI's Credit Risk Management policy are
as under:
(a)
So urce: R.B.I. (2002): Guid ance
Note on Credit Risk Management
D evel opm ent of Sound Risk
M anagement Practices :
(b)
The RBI stip u lated that the
commercial banks should develop
sound procedures to ensure that all
risk associated with credit facilities
are fully and promptly evaluated
by the related lending and credit
officers. The loan policy formulated
b y a b ank sho u ld c o v er the
methodologies for measurement,
monitoring and control of credit
risk.
Banks are req u ired to ev o lv e
comprehensive risk rating system
that serv es as a sing le p o int
indication of diverse risk factors of
c o u nter p arties in relatio n to
lending and investment decisions.
The risk grade so assigned should
be reflected in the bank's pricing of
lo ans.
(c)
In order to facilitate this, the RBI
g u id eline stip u lated that the
commercial banks constitute a high
lev el Cred it Risk M anag ement
Committee (CRMC) w hich should
be headed by the Chairman / CEO
/ ED, and should consist of heads
of Credit Department, Treasury,
C red it
Risk
M anag em ent
Department (CRMD) and the Chief
Economist. Simultaneously, each
bank should also set up Credit Risk
Management Department (CRMD)
w hic h
sho u ld
f u nc tio n
ind ep end ently o f the C red it
A dministration Department. The
RBI guid eline also d etailed the
functions of CRMC and CRMD.
The Interval of Risk Evaluation :
The evaluation of credit risk should
be based on the total exposure in
respect of a counterparty including
investments. The portfolio quality
is to be evaluated on an on going
basis. Regarding off balance sheet
exp o su res, the c u rrent and
potential credit exposures may be
measured on a daily basis
(d)
C om putation of C redit Risk
W eights :
Computation of credit risk weights
fo r the d eterminatio n o f capital
adequacy is an important aspect of
credit risk management. Basel II
introduced a system of assignment
o f risk w eights o n the basis o f
external or internal ratings. The RBI
favors greater reliance on internal
ratings based approach (subject to
stand ard izatio n). This appro ach
can make use o f supplementary
bo rro w er info rmatio n (w hich is
usually no t av ailable to cred it
rating ag enc ies) and c an b e
extended to unrated borrow ers in
Diagram 1 : Typical Organization
Structure of C redit Risk
M anagement D epartment of a
Commercial Bank
MANAGEMENT AND LABOUR STUDIES
D evelopment of Comprehensive
Risk Rating System :
350
Vol. 35 No. 3, August 2010
The New Basel A ccord and Credit Risk M anagement
the unorganized sector. The RBI
feels this w ould encourage banks
to refine their risk assessment and
m o nito ring p ro c ess thereb y
facilitating credit risk management
in a better w ay. In this context, the
task o f the market regulato r is
twofold :
(i)
(ii)
the revised time frame, fo reign
b anks o p erating in Ind ia and
Ind ian banks o p erating abro ad
w ere asked to meet the Basel II
norms by March 31, 2008, w hile all
other scheduled commercial banks
w ere asked to ad here to the
guidelines by March 31, 2009.
to ensure the integ rity o f
different banks systems and
that the p aram eters are
c o nsistent ac ro ss v ario u s
institutions,
Capital Requirement for Credit
Risk :
The Basel Rev ised C ap ital
A d equacy Framew o rk pro vid ed
three alternative approaches for the
computation of capital requirement
f o r c red it risk- Stand ard iz ed
A p p ro ach, Fo und atio n Internal
Rating Based A p p ro ac h and
A dvanced Internal Rating Based
A pproach. The RBI in its guideline
stip ulated that d ecid ed that all
c o m m erc ial b anks in Ind ia
(excluding Local A rea Banks and
Regional Rural Banks) shall adopt
Standardized A pproach (SA ) for
credit risk.
to encourage banks to use their
ow n internal rating systems
fo r d istinguishing betw een
credit quality,
Implementation of Basel II :
In June 2004, the RBI had issued
guideline to scheduled commercial
banks regarding the maintenance
of market risk capital on the lines
o f 'A m end m ent to the Cap ital
A cco rd to Inco rp o rate M arket
Risks'. In the same month, the BIS
released the rev ised c ap ital
adequacy framew ork w hich w as
subsequently further updated and
a new v ersio n w as ultim ately
released in June 2006. In response
to this, the RBI issued its master
circular relating to the prudential
norms on capital adequacy in July
2006 w hich w as further updated
and a new version w as released in
July 2007.
Under the Standardized Approach,
the credit risk is dependent on the
rating assig ned by the elig ible
external credit rating agencies. The
Reserve Bank has identified the
external cred it rating ag encies
w hich meet the eligibility criteria
sp ec if ied u nd er the rev ised
Framew ork. Banks may rely upon
the ratings assigned by the external
credit rating agencies chosen by the
RBI for assigning risk w eights for
capital ad equacy purpo ses. The
risk w eight mapping of short term
rating grades of the domestic rating
agencies are provided in table 1 :
Initially the R.B.I had set the
d ead line fo r implementatio n o f
Basel II on 31st March 2007 w hich,
however, had to be extended. As per
MANAGEMENT AND LABOUR STUDIES
351
Vol. 35 No. 3, August 2010
The New Basel A ccord and Credit Risk M anagement
Table 2 : Basel II risk weights corresponding to the various rating grades
Basel II Risk
Rating A gencies
W eights
CARE
CRISIL
Fitch
ICRA
20%
PR1+
P1+
F1+
A 1+
30%
PR1
P1
F1
A1
50%
PR2
P2
F2
A2
100%
PR3
P3
F3
A3
150%
PR4 & PR5
P4 &P5
F4 & F5
A4 & A5
100%
Unrated
Unrated
Unrated
Unrated
The RBI guideline on Basel II stipulated
that commercial banks should have the
ability to assess credit risk at the portfolio
lev el as w ell as at the exp o sure o r
counterparty level. Commercial banks
sho uld be particularly careful in the
matter of identification of credit risk
concentrations and ensuring that their
effects are adequately assessed. This
should include, inter alia, consideration
of various types of dependence among
exposures, incorporating the credit risk
effects of extreme outcomes, stress events,
and shocks to the assumptions made
ab o u t the p o rtf o lio and exp o su re
behavior. Banks should also carefully
assess concentrations in counterparty
credit exposures, including counterparty
credit risk exposures originating from
trading in relatively illiquid markets, and
determine the relative impact on bank's
capital adequacy.
Capital A dequacy Position of Indian
C om m ercial Bank s : T he Recent
Evidence
Tables 3-4 present the capital adequacy
ratios (for 2007-08 and 2008-09) of the
State Bank and its associate banks under
Basel I and Basel II .Tables 5-6,7-8 and
9-10 present the capital adequacy ratios
for the nationalized banks, private sector
banks and foreign banks respectively.
Table 3 : CRA R (Basel I) of the SBI and Its A ssociate Banks
Descriptive
2007-08
2008-09
Statistics
Tier I
Tier II
Tier I
Tier II
Max
9.14
6.01
8.53
5.58
Min
6.74
4.30
6.30
4.03
Average
7.33
5.25
7.18
4.89
Standard Deviation
0.902
0.678
0.762
0.560
Source: Statistical Tables Relating to Banks in India, 2008-09.
MANAGEMENT AND LABOUR STUDIES
352
Vol. 35 No. 3, August 2010
The New Basel A ccord and Credit Risk M anagement
Table 4 : CRA R (Basel II) of the SBI and Its A ssociate Banks
Descriptive
Statistics
Tier I
2007-08
Tier II
Max
7.41
6.25
9.38
6.06
Min
6.54
4.28
6.94
4.39
Average
7.04
5.48
7.97
5.43
Standard Deviation
0.342
0.796
0.888
0.605
Tier I
2008-09
Tier II
Source : Statistical Tables Relating to Banks in India, 2008-09.
Table 5 : CRA R (Basel I) of the Nationalized Banks
Descriptive
Statistics
Tier I
2007-08
Tier II
Max
11.29
5.49
11.28
5.51
Min
5.05
1.45
5.30
1.99
Average
7.58
4.20
7.51
4.57
Standard Deviation
1.66
1.16
1.4498
0.8129
Tier I
2008-09
Tier II
Source : Statistical Tables Relating to Banks in India, 2008-09.
Table 6: CRA R (Basel II) of the Nationalized Banks
Descriptive
Statistics
Tier I
2007-08
Tier II
Max
8.97
6.24
11.88
6.15
Min
4.88
4.28
6.11
2.10
Average
6.97
4.93
8.09
5.05
Standard Deviation
1.2445
0.6461
1.2529
0.9301
Tier I
2008-09
Tier II
Source: Statistical Tables Relating to Banks in India, 2008-09.
Table 7 : CRA R (Basel I) of the Private Sector Banks
Descriptive
Statistics
Tier I
2007-08
Tier II
Max
48.29
5.77
44.22
6.20
Min
6.10
0.47
6.45
0.00
Average
13.26
2.55
13.62
2.53
Standard Deviation
9.0628
1.6355
8.2236
1.9208
Tier I
2008-09
Tier II
Source: Statistical Tables Relating to Banks in India, 2008-09.
MANAGEMENT AND LABOUR STUDIES
353
Vol. 35 No. 3, August 2010
The New Basel A ccord and Credit Risk M anagement
Table 8 : CRA R (Basel II) of the Private Sector Banks
Descriptive
Statistics
Tier I
2007-08
Tier II
Max
N.A.
N.A.
41.69
7.10
Min
N.A.
N.A.
6.19
-0.25
Average
N.A.
N.A.
13.33
2.66
Standard Deviation
N.A.
N.A.
7.3465
1.9854
Tier I
2008-09
Tier II
Source : Statistical Tables Relating to Banks in India, 2008-09.
Table 9 : CRA R (Basel I) of the Foreign Banks
Descriptive
Statistics
Tier I
2007-08
Tier II
Max
235.82
5.43
501.34
6.37
Min
8.07
0.00
8.54
0.29
Average
51.57
1.40
75.19
1.93
Standard Deviation
57.1088
1.49049
116.6195
1.689176
Tier I
2008-09
Tier II
Source : Statistical Tables Relating to Banks in India, 2008-09.
Table 10 : CRA R (Basel II) of the Foreign Banks
Descriptive
Statistics
Tier I
2007-08
Tier II
Max
107.95
5.68
317.51
5.43
Min
7.24
0.11
7.43
0.00
Average
29.23
1.46
44.16
1.53
Standard Deviation
23.1355
1.377476
67.29328
1.4944
Tier I
2008-09
Tier II
Source : Statistical Tables Relating to Banks in India, 2008-09.
S ectio n 5 :
Observations :
T he
relating to risk management. In this
c o ntext, o ne id entif ies tw o m ajo r
problem areas in the migration of Indian
banks to the new regime:
C o ncl ud ing
The above discussion show s that the
process of credit risk management has
become increasingly complex with rising
complexities in the fund and non-fund
based activities of commercial banks.
C o m m erc ial b anks need to inv est
sufficient resources for meeting the in
ho use and regulato ry requirements
MANAGEMENT AND LABOUR STUDIES
(i)
Pro-cyclicality of the new capital
adequacy norm :
The new capital adequacy norm
links capital adequacy requirement
w ith the quality of borrow er rating
354
Vol. 35 No. 3, August 2010
The New Basel A ccord and Credit Risk M anagement
thereb y p ro m p ting b anks to
provide lending to borrow ers w ith
good rating grade. However, during
eco no mic d o w nturn the rating
quality is likely to decline. Thus the
new reg im e w ill reinf o rc e
cyclicality.
(ii)
credit rating o r credit histo ry is
available. Inclusive grow th of the
Indian economy requires that the
b anking sec to r allo c ate m o re
reso u rc es to the u no rg aniz ed
secto r. Thus financial inclusio n
poses a major challenge before the
commercial banking sector as to
how there can be an appropriate
trade off betw een risk mitigation
and universal service obligation.
Presence of a Large Unorganised
Sector :
In Ind ia w e hav e a larg e
unorganized sector for w hich no
MANAGEMENT AND LABOUR STUDIES
355
Vol. 35 No. 3, August 2010
The New Basel A ccord and Credit Risk M anagement
Reserve Bank of India (2007) : Master
Circular on Prudential Norms on Capital
A d eq u ac y , D BO D N o . BP.BC .
4/ 21.01.002 / 2007-08
Bibliography:
BCBS (2003) : The New Basel Capital
Accord, www.bis.org.
Credit Suisse Financial Products (1997) :
Credit Risk+, CSFP Website.
Reserve Bank of India(2002): Guidance
N o te o n Cred it Risk M anag em ent,
O c to b er, D ep artm ent o f Banking
Operations and Development, Central
Office, Mumbai
Finger C.C. (2001) : The One - Factor
Credit Metrics Model In The New Basel
Capital A ccord, Risk Metrics Journal,
Volume 2(1), www.riskmetrics.com.
Risk Metrics (1996) : Cred it Metrics Th e
Te c h n i c al
D o c u m e n t,
w w w .riskmetrics.com.
Gordy, Michael (2003), "A risk factor
model foundation for ratings-based bank
cap ital rules," Jo urnal o f Financial
Intermediation, vol. 12, 199-232.
Vasicek, Oldrich (1991), "Limiting loan
lo ss p ro bability d istributio n," KMV
Working Paper .
Merton, R C (1974) : "On the pricing of
co rpo rate d ebt: the risk structure o f
interest rates", Journal of Finance, vol 29,
pp 449-70.
MANAGEMENT AND LABOUR STUDIES
356
Vol. 35 No. 3, August 2010