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48<br />

VADYBA / MANAGEMENT. 2006 m. Nr. 2(11)<br />

ADAPTATION OF BANK‘S X RISK MANAGEMENT MODEL TO THE NEW<br />

BASEL CAPITAL ACCORD USING ALGORITHM BASED ON PAIRED<br />

COMPARISON<br />

Algimantas Gaulia, Irena Ma�erinskien�<br />

Commercial banks face <strong>new</strong> challenges in <strong>risk</strong> <strong>management</strong> as <strong>the</strong>y adapt <strong>the</strong>ir <strong>risk</strong> <strong>management</strong> systems <strong>to</strong> <strong>the</strong> New<br />

Basel Capital Record, or Basel II. Basel II <strong>of</strong>fers choice <strong>of</strong> alternative <strong>risk</strong> <strong>management</strong> <strong>to</strong>ols, ranging from simple <strong>risk</strong><br />

weight approaches <strong>to</strong> advanced statistical data based approaches. Banks have <strong>to</strong> choose optimal for <strong>the</strong>m <strong>risk</strong> <strong>management</strong><br />

methods and implement <strong>the</strong>m. One method for choosing <strong>the</strong> alternatives is studied in this paper. Authors develop an<br />

algorithm, which is based on comparing compliance <strong>of</strong> alternative methods with criteria that have different weights that are<br />

determined by paired comparison method. Applying this algorithm <strong>to</strong> adapt <strong>risk</strong> <strong>management</strong> <strong>model</strong> <strong>of</strong> small Lithuanian<br />

bank X <strong>to</strong> Basel II showed that statistical data based <strong>risk</strong> <strong>management</strong> <strong>to</strong>ols can be used <strong>to</strong> improve bank’s <strong>risk</strong><br />

<strong>management</strong>, but in combination with o<strong>the</strong>r <strong>risk</strong> <strong>management</strong> methods and only if <strong>the</strong> <strong>risk</strong> is significant so that <strong>the</strong> benefits<br />

from adapting <strong>the</strong>m would be higher than <strong>the</strong> cost <strong>of</strong> adoption and usage.<br />

Key words: Basel II, <strong>risk</strong> <strong>management</strong>, paired comparison.<br />

Introduction<br />

One <strong>of</strong> <strong>the</strong> main issues for commercial banks is adoption <strong>of</strong> revised International Convergence <strong>of</strong> Capital<br />

Measurement and Capital Standards, or Basel II, that is set out here <strong>to</strong> be available for implementation as <strong>of</strong><br />

yearend 2006 (but banks can opt <strong>to</strong> apply current rules until end 2007). However, <strong>the</strong> Basel Committee <strong>of</strong><br />

Banking Supervision feels that one fur<strong>the</strong>r year <strong>of</strong> impact studies or parallel calculations will be needed for <strong>the</strong><br />

most advanced approaches, and <strong>the</strong>se <strong>the</strong>refore will be available for implementation as <strong>of</strong> year-end 2007. The<br />

<strong>new</strong> Basel Accord will be implemented in <strong>the</strong> European Union via <strong>the</strong> Capital Requirements Directive (CRD).<br />

Many commercial banks have <strong>to</strong> make a decision <strong>of</strong> how <strong>to</strong> adopt <strong>the</strong>ir <strong>risk</strong> <strong>management</strong> <strong>model</strong>s<br />

according <strong>to</strong> Basel II. In this light, using paired comparison method <strong>to</strong> choose one <strong>of</strong> <strong>the</strong> alternatives may be<br />

appropriate, that’s why <strong>the</strong> authors <strong>of</strong> this paper created an algorithm based on paired comparison method and<br />

used it <strong>to</strong> choose alternatives in adapting Bank’s X, small-sized Lithuanian bank’s <strong>risk</strong> <strong>management</strong> <strong>model</strong> <strong>to</strong><br />

Basel II.<br />

1. Key <strong>risk</strong>s and <strong>risk</strong> <strong>management</strong> <strong>model</strong>s<br />

There are many banking <strong>risk</strong>s. Most common approach is <strong>to</strong> group banking <strong>risk</strong>s <strong>to</strong> credit <strong>risk</strong>, liquidity<br />

<strong>risk</strong>, market <strong>risk</strong> and operational <strong>risk</strong>.<br />

Credit <strong>risk</strong><br />

Credit <strong>risk</strong> is described as <strong>the</strong> <strong>risk</strong> <strong>to</strong> have losses because counterparty is not capable <strong>to</strong> carry out its<br />

obligations according <strong>to</strong> <strong>the</strong> terms <strong>of</strong> <strong>the</strong> agreement. Sometimes losses occur even when <strong>the</strong> counterparty does<br />

not breach <strong>the</strong> contract, but <strong>the</strong>re are certain signs showing increasing probability <strong>of</strong> borrower’s insolvency<br />

(e.g. downgrade in credit ratings <strong>of</strong> <strong>the</strong> borrower).<br />

Credit <strong>risk</strong> is one <strong>of</strong> <strong>the</strong> key <strong>risk</strong>s for <strong>the</strong> banks as failure <strong>to</strong> properly evaluate it may lead <strong>to</strong> insolvency<br />

and bankruptcy. Aggregated stress testing <strong>of</strong> Lithuanian banks results <strong>of</strong> <strong>the</strong> yr. 2002 showed that banks<br />

consider credit <strong>risk</strong> <strong>to</strong> be <strong>the</strong> most important <strong>risk</strong>, constituting over 62% <strong>of</strong> possible losses [6].<br />

Basel II suggests 3 alternative approaches for credit <strong>risk</strong> <strong>management</strong> – Standard approach, Foundation<br />

Internal Ratings Based (F-IRB) approach and Advanced Internal Ratings Based (A-IRB) approach. Using<br />

standard approach, capital coverage is calculated by applying certain <strong>risk</strong> weights <strong>to</strong> certain balance sheet<br />

items. Internal ratings based approaches calculated capital coverage as function <strong>of</strong> PD (probability <strong>of</strong> default),<br />

LGD (loss given default), EAD (exposure at default) and M (maturity). The difference between F-IRB and A-<br />

IRB is that under F-IRB approach banks rely on more supervisory estimates than under A-IRB approach [3].<br />

Besides alternative approaches for capital coverage calculation, classic credit <strong>risk</strong> <strong>management</strong> <strong>to</strong>ols<br />

such as limit systems, credit scoring procedures, loan assessment procedures, <strong>risk</strong> diversification rules, etc. are<br />

necessary <strong>to</strong> use <strong>to</strong> keep credit <strong>risk</strong> as low as possible.


VADYBA / MANAGEMENT. 2006 m. Nr. 2(11) 49<br />

Table 1. Difference between F-IRB and A-IRB approaches<br />

Parameter F-IRB approach A-IRB approach<br />

PD Estimated by bank Estimated by bank<br />

LGD Set by supervisory institution Estimated by bank<br />

EAD Set by supervisory institution Estimated by bank<br />

M Set by supervisory institution Estimated by bank<br />

Liquidity <strong>risk</strong><br />

Liquidity <strong>risk</strong> is also <strong>risk</strong> <strong>of</strong> key importance <strong>to</strong> commercial banks as failure <strong>to</strong> properly manage this <strong>risk</strong><br />

may result in insolvency <strong>of</strong> <strong>the</strong> bank. Liquidity <strong>risk</strong> involves <strong>the</strong> possibility that earnings or capital will be<br />

negatively affected by an institution’s inability <strong>to</strong> meet its obligations when <strong>the</strong>y come due. Liquidity <strong>risk</strong> is<br />

<strong>the</strong> <strong>risk</strong> that <strong>the</strong> financial institution cannot settle an obligation for full value when it is due (even if it may be<br />

able <strong>to</strong> settle at some unspecified time in <strong>the</strong> future). Liquidity problems can result in opportunity costs,<br />

defaults in o<strong>the</strong>r obligations, or costs associated with obtaining <strong>the</strong> funds from some o<strong>the</strong>r source for some<br />

period <strong>of</strong> time [7]. In most cases, liquidity <strong>risk</strong> is <strong>the</strong> outcome <strong>of</strong> o<strong>the</strong>r <strong>risk</strong>s such as credit, strategic,<br />

reputation, interest rate and counterparty <strong>risk</strong>. For instance, when important large cus<strong>to</strong>mer becomes default,<br />

bank may have difficulties in meeting its obligations. Additionally, liquidity <strong>risk</strong> comes in <strong>the</strong> normal course <strong>of</strong><br />

business, usually as long-term assets are financed by short-term obligations.<br />

Liquidity <strong>risk</strong> is managed by analysing liquidity gaps (simple and marginal), using cash matching<br />

approach by setting limits for absolute or relative liquidity gaps, making projections <strong>of</strong> future cash flows,<br />

scenario testing. Value-at-<strong>risk</strong> (VaR) techniques using statistical data may be used for <strong>the</strong>se purposes.<br />

Market <strong>risk</strong><br />

Market <strong>risk</strong> is <strong>the</strong> <strong>risk</strong> <strong>of</strong> adverse deviations in price <strong>of</strong> financial items (equities, bonds, FX deals,<br />

derivatives, etc.) [4]. Market <strong>risk</strong> includes currency <strong>risk</strong>, interest rate <strong>risk</strong>, equity or debt security price <strong>risk</strong> etc.<br />

market <strong>risk</strong> may result both in positive and negative effects. In capital charge calculation, only <strong>the</strong> negative<br />

effects are taken in<strong>to</strong> account. Main goal in market <strong>risk</strong> <strong>management</strong> is <strong>to</strong> reliably estimate likely price<br />

fluctuations and <strong>to</strong> take decision whe<strong>the</strong>r <strong>to</strong> take <strong>the</strong> <strong>risk</strong> or <strong>to</strong> reduce it. Limit systems, gap analysis,<br />

correlation analysis, instrument sensitivity analysis, market volatility analysis can be used for market <strong>risk</strong><br />

<strong>management</strong>. The <strong>risk</strong> can be reduces by portfolio diversification or hedging using derivative financial<br />

instruments (swaps, forwards, options, etc.). Market <strong>risk</strong> can be measured by using <strong>risk</strong> weights or by using<br />

value-at-<strong>risk</strong> approaches. It’s important <strong>to</strong> note that in order <strong>to</strong> reach best <strong>risk</strong> <strong>management</strong> results, VaR-based<br />

approaches should be used in combination with o<strong>the</strong>r <strong>risk</strong> <strong>management</strong> methods as VaR <strong>model</strong>s rely on certain<br />

assumptions, not every time equilibrium between <strong>the</strong> accuracy and operativity is reached, output on <strong>the</strong> same<br />

data using different VaR <strong>model</strong>s may vary substantially.<br />

Operational <strong>risk</strong><br />

The definition <strong>of</strong> operational <strong>risk</strong> varies considerably since <strong>the</strong> list <strong>of</strong> fac<strong>to</strong>rs causing operational <strong>risk</strong> is<br />

incomplete and constantly growing due <strong>to</strong> increasing complexity <strong>of</strong> business. Basel Committee on Banking<br />

Supervision defines operational <strong>risk</strong> as <strong>the</strong> <strong>risk</strong> <strong>of</strong> direct or indirect loss resulting from inadequate or failed<br />

internal processes, people, and systems, or from external events [1]. Risk may actualise in technical level (IT<br />

system or <strong>risk</strong> measurement system inefficiency) or in organizational level (lack <strong>of</strong> procedures, non-adequate<br />

organization <strong>of</strong> <strong>risk</strong> moni<strong>to</strong>ring and reporting) [4]. Basel Committee on Banking Supervision considers<br />

operational <strong>risk</strong> <strong>to</strong> be <strong>of</strong> high importance, that’s why Basel II demands capital charge calculation for<br />

operational <strong>risk</strong>. Stress testing <strong>of</strong> Lithuanian banks in 2002 showed that Lithuanian banks consider that losses<br />

from operational <strong>risk</strong> would make 5% <strong>of</strong> all <strong>the</strong> losses [6]. Quantitative Impact Study 3 (QIS 3) calculation<br />

shows that operational <strong>risk</strong> capital charges increase regula<strong>to</strong>ry capital by 5-15% [2].<br />

As it is impossible <strong>to</strong> name all <strong>the</strong> <strong>risk</strong>s, it is suggested <strong>to</strong> determine fac<strong>to</strong>rs causing operational <strong>risk</strong>.<br />

After that <strong>the</strong> following algorithm can be used in determining whe<strong>the</strong>r <strong>to</strong> ignore <strong>the</strong> <strong>risk</strong> fac<strong>to</strong>r, or <strong>to</strong> take<br />

action.


50<br />

Do <strong>the</strong>y require<br />

<strong>management</strong>?<br />

N<br />

Risk is taken<br />

Identification <strong>of</strong> fac<strong>to</strong>rs<br />

causing <strong>risk</strong><br />

Y Are <strong>the</strong>se fac<strong>to</strong>rs<br />

N<br />

significant?<br />

Y<br />

What <strong>risk</strong> <strong>management</strong><br />

mehods exist?<br />

Risk <strong>management</strong> method is<br />

chosen and applied<br />

Fig. 1. Possible ways <strong>of</strong> reacting <strong>to</strong> <strong>risk</strong><br />

VADYBA / MANAGEMENT. 2006 m. Nr. 2(11)<br />

No action is taken while<br />

significance does not increase<br />

In order <strong>to</strong> determine whe<strong>the</strong>r significant fac<strong>to</strong>rs require <strong>management</strong> decision-matrix presented in <strong>the</strong><br />

table below can be helpful.<br />

Table 2. Decision-matrix for operational <strong>risk</strong> <strong>management</strong><br />

Probability <strong>of</strong><br />

<strong>the</strong> event<br />

Expected losses<br />

Minimal<br />

Maximal<br />

(Adapted from [5])<br />

Minimal Maximal<br />

No action is taken Risk is managed<br />

Risk is managed if<br />

cost <strong>of</strong> adoption <strong>of</strong> <strong>the</strong><br />

<strong>risk</strong> <strong>management</strong><br />

method is less than<br />

expected losses<br />

Risk is managed<br />

Basel II suggests 3 alternative methods <strong>to</strong> quantify operational <strong>risk</strong>: Basic Indica<strong>to</strong>r approach (gross<br />

income multiplied by <strong>risk</strong> weight), <strong>the</strong> Standardized approach (multiplying gross income from eight business<br />

lines by <strong>risk</strong> weights), or <strong>the</strong> Advanced Measurement approach (bank uses its own developed techniques with<br />

<strong>the</strong> consent <strong>of</strong> supervisory institution after meeting qualitative requirements) [3].<br />

2. Selection and assigning weights <strong>to</strong> criteria for comparison <strong>of</strong> alternative methods<br />

As selecting best suitable <strong>risk</strong> <strong>management</strong> approaches needs qualitative analysis, in order <strong>to</strong> make<br />

selection <strong>of</strong> <strong>the</strong> alternative methods quantified, adapted paired comparison method can be used. Five criteria<br />

characterizing methods are designated, and <strong>the</strong>y all are compared against each o<strong>the</strong>r, for every pair <strong>of</strong> <strong>the</strong><br />

criteria assigning 10 points. Results <strong>of</strong> this process are described below.


VADYBA / MANAGEMENT. 2006 m. Nr. 2(11) 51<br />

Pair <strong>of</strong><br />

criteria<br />

List <strong>of</strong> criteria:<br />

A. Accuracy <strong>of</strong> <strong>the</strong> method<br />

B. Cost <strong>of</strong> <strong>the</strong> adoption <strong>of</strong> <strong>the</strong> method<br />

C. Cost <strong>of</strong> using <strong>the</strong> method<br />

D. Reduction <strong>of</strong> losses when <strong>the</strong> method is applied<br />

E. Changes in capital charges calculated using <strong>the</strong> method.<br />

Result <strong>of</strong> <strong>the</strong><br />

comparison <strong>of</strong><br />

<strong>the</strong> criteria<br />

Table 3. Comparison <strong>of</strong> pairs <strong>of</strong> criteria<br />

Reasoning <strong>of</strong> <strong>the</strong> result<br />

A-B A – 2 B – 8 If bank does not have enough funds <strong>to</strong> adopt <strong>the</strong> most accurate approach, it can’t adopt it. But<br />

if adoption <strong>of</strong> two alternative approaches costs <strong>the</strong> same, <strong>the</strong> accurate one should be chosen<br />

A-C A – 5 C – 5 If <strong>model</strong> A is more accurate than <strong>model</strong> B, and cost <strong>of</strong> using <strong>the</strong> <strong>model</strong> is <strong>the</strong> same or <strong>model</strong><br />

A using cost is lower than <strong>model</strong> B using cost – <strong>model</strong> A should be chosen; if <strong>the</strong> accuracy <strong>of</strong><br />

<strong>model</strong>s A and B is <strong>the</strong> same and <strong>model</strong> A using costs are higher – <strong>model</strong> B should be chosen;<br />

if <strong>the</strong> accuracy <strong>of</strong> <strong>model</strong> A is higher than <strong>the</strong> accuracy <strong>of</strong> <strong>model</strong> B, but <strong>the</strong> cost <strong>of</strong> using<br />

<strong>model</strong> A is higher than <strong>the</strong> cost <strong>of</strong> using <strong>model</strong> B – choice <strong>of</strong> <strong>the</strong> <strong>model</strong> would depend on<br />

o<strong>the</strong>r fac<strong>to</strong>rs.<br />

A-D A – 3 D – 7 If <strong>the</strong> <strong>model</strong> leads <strong>to</strong> reduction <strong>of</strong> <strong>the</strong> cost, it is more important than <strong>the</strong> accuracy <strong>of</strong> <strong>the</strong> <strong>model</strong><br />

since <strong>the</strong> purpose <strong>of</strong> <strong>risk</strong> <strong>management</strong> is reducing <strong>the</strong> cost; despite that, criteria A gets 3<br />

points because overestimating criteria D can lead <strong>to</strong> <strong>to</strong>o liberal approach <strong>to</strong>wards <strong>the</strong> <strong>risk</strong><br />

<strong>management</strong> which under negative circumstances may result in losses later.<br />

A-E A – 7 E – 3 Capital is <strong>the</strong> most expensive <strong>of</strong> all resources; despite that, purpose <strong>of</strong> <strong>risk</strong> <strong>management</strong> is not<br />

<strong>to</strong> reduce capital charges, but <strong>to</strong> calculate <strong>the</strong>m as accurately as possible and reasonable<br />

B-C B – 5 C – 5 Net present value <strong>of</strong> projected cash flows should be used. If NPV <strong>of</strong> alternatives is equal,<br />

selecting better method depends on o<strong>the</strong>r fac<strong>to</strong>rs.<br />

B-D B – 6 D – 4 Adoption are usually clear and easy <strong>to</strong> calculate, and positive outcome from reduction <strong>of</strong><br />

losses usually depends on certain assumptions i.e. is less clear<br />

B-E B – 3 E – 7 If bank is financially capable <strong>to</strong> adopt a <strong>model</strong>, which would reduce capital costs, and <strong>the</strong><br />

NPV <strong>of</strong> reduction <strong>of</strong> capital cost is higher than <strong>the</strong> NPV <strong>of</strong> adoption costs, it would be useful<br />

<strong>to</strong> adopt <strong>the</strong> <strong>model</strong><br />

C-D C – 5 D – 5 If using costs <strong>of</strong> <strong>the</strong> <strong>model</strong> were P, reduction <strong>of</strong> losses when <strong>model</strong> was applied were K,<br />

<strong>model</strong> – M, selection between <strong>model</strong> A & B would be <strong>the</strong> following:<br />

PA – PB > KA – KB, –> MB<br />

PA – PB < KA – KB, –> MA<br />

PA – PB = KA – KB, –> choice depends on o<strong>the</strong>r fac<strong>to</strong>rs<br />

C-E C – 6 E – 4 In case adoption cost and positive effect from changes in regula<strong>to</strong>ry capital were equal,<br />

selection would depend on o<strong>the</strong>r fac<strong>to</strong>rs. But adoption cost can be measured more reliably.<br />

D-E D – 7 E – 3 As reduction in capital costs does not always mean better <strong>risk</strong> <strong>management</strong>, projected<br />

positive effect from cost reduction is more important<br />

The results <strong>of</strong> all paired comparisons <strong>of</strong> <strong>the</strong> criteria are presented in paired comparison matrix.<br />

Table 4. Result <strong>of</strong> paired comparison <strong>of</strong> criteria<br />

Criteria A B C D E Total<br />

A 2 5 3 7 17<br />

B 8 5 6 3 22<br />

C 5 5 5 6 21<br />

D 7 4 5 7 23<br />

E 3 7 4 3 17<br />

3. Algorithm for assessment and selection <strong>of</strong> <strong>risk</strong> <strong>management</strong> methods<br />

Risk <strong>management</strong> methods used in Bank X will be assessed by using this algorithm (Fig. 2.)


52<br />

Improvement is rejected<br />

Y<br />

No changes are applied<br />

N<br />

Is <strong>the</strong> <strong>risk</strong> <strong>management</strong> <strong>model</strong> adequate, meets <strong>the</strong> criteria<br />

<strong>of</strong> Basel II and it is impossible <strong>to</strong> improve it?<br />

N<br />

Are likely benefits from <strong>the</strong><br />

improvement <strong>of</strong> <strong>the</strong> <strong>model</strong> higher<br />

than <strong>the</strong> cost <strong>of</strong> adoption?<br />

Y<br />

Improvement is adopted<br />

VADYBA / MANAGEMENT. 2006 m. Nr. 2(11)<br />

N<br />

Are <strong>the</strong>re any<br />

alternative methods for <strong>the</strong>improvement<br />

<strong>of</strong> <strong>the</strong> <strong>model</strong>?<br />

Fig. 2. Algorithm for assessment <strong>of</strong> <strong>risk</strong> <strong>management</strong> methods<br />

Y<br />

Algorithm depicted in picture 2 for selection<br />

<strong>of</strong> <strong>the</strong> best alternative is applied<br />

If <strong>the</strong>re are alternative methods available, optimal method for bank X is selected by using <strong>the</strong> algorithm<br />

presented below. Alternative <strong>risk</strong> <strong>management</strong> methods will be compared according <strong>to</strong> <strong>the</strong>ir compliance <strong>to</strong> <strong>the</strong><br />

criteria presented in section 2, above. Compliance <strong>to</strong> <strong>the</strong> criteria (CC) is measured with a scale ranging from 0<br />

(<strong>to</strong>tally does not comply) up <strong>to</strong> 10 (<strong>to</strong>tally complies). Criteria will have influence <strong>to</strong> overall result (CI) such as<br />

stated in paired comparison matrix. Score for <strong>the</strong> <strong>model</strong> (SM) is calculated using <strong>the</strong> formula below.<br />

SM = (CC/10) * (CI/100); (1)<br />

The <strong>model</strong> that has highest SM is chosen.<br />

Y<br />

START<br />

Ar <strong>model</strong>is Does <strong>the</strong> atitinka <strong>model</strong> Basel meet II N<br />

<strong>the</strong> requirements <strong>of</strong><br />

sutarties Basel reikalavimus? II?<br />

Assessment <strong>of</strong> how <strong>model</strong> matches criteria is performed<br />

Model is selected<br />

The score for <strong>the</strong> <strong>model</strong> is calculated<br />

Is <strong>model</strong>’s score highest compared <strong>to</strong> <strong>the</strong><br />

alternative <strong>model</strong>s for <strong>management</strong> <strong>of</strong> <strong>the</strong><br />

same <strong>risk</strong>?<br />

Y<br />

FINISH<br />

Model is rejected<br />

N<br />

Steps are applied for all<br />

<strong>model</strong>s<br />

Fig. 3. Algorithm for choosing one <strong>of</strong> <strong>the</strong> alternative <strong>risk</strong> <strong>management</strong> methods


VADYBA / MANAGEMENT. 2006 m. Nr. 2(11) 53<br />

4. Selection <strong>of</strong> <strong>the</strong> <strong>model</strong>s for credit <strong>risk</strong> <strong>management</strong><br />

Bank X uses classic <strong>risk</strong> <strong>management</strong> methods - credit limit system, counterparty <strong>risk</strong> <strong>management</strong><br />

systems, <strong>risk</strong> diversification rules. These <strong>to</strong>ols are efficient, comply with Basel II and are suitable for fur<strong>the</strong>r<br />

usage. But calculation <strong>of</strong> capital charges for credit <strong>risk</strong> <strong>of</strong> bank X does not comply with Basel II requirements,<br />

that’s why <strong>the</strong> choice between Standard, F-IRB and A-IRB approaches will have <strong>to</strong> be made.<br />

Compliance <strong>of</strong> alternative approaches with Criterion A (accuracy <strong>of</strong> approaches)<br />

A-IRB approach will without doubts comply with criteria A since all <strong>the</strong> parameters are set by <strong>the</strong> bank,<br />

using actual statistical data. F-IRB approach will comply less with this criteria, but still some <strong>of</strong> <strong>the</strong> parameters<br />

will be set by using actual statistical data. The accuracy <strong>of</strong> Standard approach is doubtful, since statistical data<br />

do not have direct influence <strong>to</strong> <strong>the</strong> quantification <strong>of</strong> <strong>risk</strong>. Compliance with criterion A can be assessed <strong>the</strong><br />

following:<br />

A-IRB: 10/10 F-IRB: 6/10 Standard: 1/10.<br />

Compliance <strong>of</strong> alternative approaches with Criterion B (cost <strong>of</strong> <strong>the</strong> adoption)<br />

Since bank X currently uses approach similar <strong>to</strong> Standard approach, and <strong>the</strong> adoption <strong>of</strong> Standard<br />

approach would be just a modification <strong>of</strong> current approach, <strong>the</strong> cost <strong>of</strong> adoption <strong>of</strong> Standard approach would<br />

be lowest. Creating statistical databases costs a lot <strong>of</strong> money, and due <strong>to</strong> size <strong>of</strong> Lithuanian banking market,<br />

joint databases are necessary for <strong>the</strong> ga<strong>the</strong>ring <strong>of</strong> necessary information. The more variables are assessed in <strong>the</strong><br />

<strong>model</strong>, <strong>the</strong> more data needs <strong>to</strong> be ga<strong>the</strong>red, and <strong>the</strong> more difficult and expensive is <strong>the</strong> adoption <strong>of</strong> <strong>the</strong> <strong>model</strong>.<br />

That’s why adoption <strong>of</strong> A-IRB approach would be <strong>the</strong> most costly (this also is mentioned in many studies).<br />

Rating <strong>of</strong> approaches according <strong>the</strong>ir compliance with criterion B is <strong>the</strong> following:<br />

A-IRB: 0/10 F-IRB: 4/10 Standard: 10/10.<br />

Compliance <strong>of</strong> alternative approaches with Criterion C (cost <strong>of</strong> using <strong>the</strong> approach)<br />

The more complicated <strong>the</strong> <strong>model</strong> is, <strong>the</strong> more statistical data is used, and <strong>the</strong> higher is <strong>the</strong> method using<br />

cost. Cost <strong>of</strong> using standard method would be lowest as <strong>the</strong> bank would not increase it’s current workload.<br />

Internal ratings based methods require statistical data, which should be obtained from internal, or external<br />

databases that would result in higher cost. Rating <strong>of</strong> approaches according <strong>the</strong>ir compliance with criterion C is<br />

<strong>the</strong> following:<br />

A-IRB: 0/10 F-IRB: 4/10 Standard: 10/10.<br />

Compliance <strong>of</strong> alternative approaches with Criterion D (reduction <strong>of</strong> losses when <strong>the</strong> approach is<br />

applied)<br />

The Standard approach is just <strong>the</strong> modification <strong>of</strong> current approach, so reduction <strong>of</strong> losses when this<br />

approach is applied should not be expected. Internal ratings based approaches mean qualitative improvement in<br />

bank’s credit <strong>risk</strong> <strong>management</strong>. Basel II implies qualitative criteria that should be met in order <strong>to</strong> apply internal<br />

ratings based approaches, and compliance with <strong>the</strong>se criteria will surely help increase <strong>the</strong> quality <strong>of</strong> decisionmaking<br />

and reduce <strong>the</strong> losses due <strong>to</strong> improper credit <strong>risk</strong> <strong>management</strong>. As A-IRB approach uses <strong>the</strong> most<br />

statistical data and banks must meet strictest requirements <strong>to</strong> adopt it, this approach scores highest in<br />

compliance with this criterion. F-IRB approach would still mean qualitative improvement, so it gets more than<br />

average CI score. Rating <strong>of</strong> approaches according <strong>to</strong> <strong>the</strong>ir compliance with criterion D is <strong>the</strong> following:<br />

A-IRB: 10/10 F-IRB: 8/10 Standard: 0/10.<br />

Compliance <strong>of</strong> alternative approaches with Criterion E (changes in capital charges calculated<br />

using <strong>the</strong> method)<br />

Standard approach would result in highest capital charges. Two main arguments back-up this statement:<br />

first, most <strong>of</strong> Lithuanian enterprises are <strong>to</strong>o small <strong>to</strong> use <strong>the</strong> services <strong>of</strong> credit rating agencies, and even if <strong>the</strong>y<br />

got rated, <strong>the</strong>y most likely would get credit rating lower than Lithuanian sovereign credit rating (which<br />

currently is at lowest investment grade), which will result in <strong>risk</strong> weight <strong>of</strong> 100% or even higher. Second,<br />

results <strong>of</strong> QIS 3 show that adoption <strong>of</strong> standard approach leads <strong>to</strong> highest capital charges compared <strong>to</strong> internal<br />

ratings based approaches. Of <strong>the</strong> F-IRB and A-IRB approaches, capital charges are lower for A-IRB approach<br />

[2].<br />

Rating <strong>of</strong> approaches according <strong>the</strong>ir compliance with criterion E is <strong>the</strong> following:<br />

A-IRB: 10/10 F-IRB: 8/10 Standard: 0/10.


54<br />

VADYBA / MANAGEMENT. 2006 m. Nr. 2(11)<br />

Selection <strong>of</strong> <strong>the</strong> approach<br />

After calculation <strong>of</strong> compliance <strong>of</strong> alternative approaches with <strong>the</strong> criteria, <strong>the</strong> score for <strong>the</strong> <strong>model</strong> (SM)<br />

is calculated for each <strong>of</strong> <strong>the</strong> alternative approaches in <strong>the</strong> Table 5.<br />

Approach<br />

Table 5. Result <strong>of</strong> comparison <strong>of</strong> credit <strong>risk</strong> <strong>management</strong> approaches<br />

A<br />

(max. 17)<br />

B<br />

(max. 22)<br />

C<br />

(max. 21)<br />

SM<br />

D<br />

(max. 23)<br />

E<br />

(max. 17)<br />

Standard 1.7 22.0 21.0 0.0 0.0 44.7<br />

F-IRB 10.2 8.8 8.4 18.4 13.6 59.4<br />

A-IRB 17.0 0.0 0.0 23.0 17.0 57.0<br />

As <strong>the</strong> table shows, bank X should choose F-IRB approach for assessment <strong>of</strong> credit <strong>risk</strong>.<br />

5. Selection <strong>of</strong> <strong>the</strong> <strong>model</strong>s for liquidity <strong>risk</strong> <strong>management</strong><br />

Bank X uses liquidity gaps, projected cash flows and internal liquidity limits for liquidity <strong>management</strong>.<br />

The liquidity <strong>risk</strong> <strong>management</strong> system meets its objectives, but <strong>the</strong>re is room for possible improvement: bank<br />

X could possibly adopt VaR measures <strong>to</strong> make projections <strong>of</strong> cus<strong>to</strong>mer cash flows. This would help <strong>to</strong> make<br />

cash flow planning more precise that could result in less strict internal liquidity limits and select more<br />

pr<strong>of</strong>itable opportunities for <strong>the</strong> investment <strong>of</strong> spare funds. Additionally, <strong>the</strong>se measures would allow analysing<br />

not only retrospective, but also prospective liquidity gaps. As this would result in improvement <strong>of</strong> bank’s X<br />

liquidity <strong>management</strong> system and projected benefits are higher than <strong>the</strong> projected costs, this improvement<br />

should be adopted.<br />

6. Selection <strong>of</strong> <strong>the</strong> <strong>model</strong>s for market <strong>risk</strong> <strong>management</strong><br />

Currently, bank X uses interest rate gap method and internal limits for interest rate <strong>risk</strong> <strong>management</strong>,<br />

additionally by projecting changes in market rates and <strong>the</strong> impact <strong>of</strong> <strong>the</strong>se changes <strong>to</strong> bank’s pr<strong>of</strong>itability. Of<br />

<strong>the</strong> o<strong>the</strong>r market <strong>risk</strong>s, currency <strong>risk</strong> is <strong>the</strong> most important <strong>to</strong> <strong>the</strong> bank X: in yr. 200X, income from operations<br />

with foreign currency and derivatives made 80% <strong>of</strong> bank’s trading income. There are aggregate and single<br />

open currency limits set by <strong>the</strong> Bank <strong>of</strong> Lithuania, additionally stricter internal open currency limits for <strong>the</strong><br />

daytime and end <strong>of</strong> day are imposed. Excess positions are hedged using derivative financial instruments. O<strong>the</strong>r<br />

market <strong>risk</strong>s are not <strong>of</strong> high importance <strong>to</strong> <strong>the</strong> bank X: in yr. 200X, income from operations with bonds and<br />

equities made 4% <strong>of</strong> gross income, bonds and equities made just about 1% <strong>of</strong> bank’s X assets. Bank uses limits<br />

in order <strong>to</strong> diversify equity/bond portfolio. Capital charges for market <strong>risk</strong>s are calculated by applying <strong>risk</strong><br />

weights.<br />

Diversification and limits for financial items is effective and has no alternatives, but <strong>the</strong> calculation <strong>of</strong><br />

market volatilities and capital charges could be made more accurate by adopting VaR measures. That’s why<br />

algorithm described above will be use <strong>to</strong> select better alternative <strong>of</strong> calculation <strong>of</strong> capital charges – ei<strong>the</strong>r <strong>risk</strong><br />

weights, ei<strong>the</strong>r VaR measures. Since <strong>the</strong> most important market <strong>risk</strong>s for bank X are interest rate <strong>risk</strong>, currency<br />

<strong>risk</strong> and equity <strong>risk</strong>, <strong>the</strong> compliance <strong>of</strong> <strong>the</strong>se <strong>risk</strong>s with <strong>the</strong> criteria will be measured separately.<br />

Compliance <strong>of</strong> alternative approaches with Criterion A (accuracy <strong>of</strong> approaches)<br />

VaR approaches rely on statistical market data, <strong>risk</strong> weight approaches do not directly link <strong>to</strong> market<br />

movements, that’s why rating <strong>of</strong> approaches according <strong>the</strong>ir compliance with criterion A is <strong>the</strong> following:<br />

Interest rate <strong>risk</strong>: <strong>risk</strong> weight approaches: 0/10 VaR approaches: 10/10.<br />

Currency <strong>risk</strong>: <strong>risk</strong> weight approaches: 0/10 VaR approaches: 10/10.<br />

Security <strong>risk</strong>: <strong>risk</strong> weight approaches: 0/10 VaR approaches: 10/10.<br />

Compliance <strong>of</strong> alternative approaches with Criterion B (cost <strong>of</strong> <strong>the</strong> adoption)<br />

Using <strong>risk</strong> weight approaches would require no additional costs while adoption <strong>of</strong> VaR approaches<br />

would have costs. Rating <strong>of</strong> approaches according <strong>the</strong>ir compliance with criterion B is <strong>the</strong> following:<br />

Interest rate <strong>risk</strong>: <strong>risk</strong> weight approaches: 10/10 VaR approaches: 0/10.<br />

Total


VADYBA / MANAGEMENT. 2006 m. Nr. 2(11) 55<br />

Currency <strong>risk</strong>: <strong>risk</strong> weight approaches: 10/10 VaR approaches: 0/10.<br />

Security <strong>risk</strong>: <strong>risk</strong> weight approaches: 10/10 VaR approaches: 0/10.<br />

Compliance <strong>of</strong> alternative approaches with Criterion C (cost <strong>of</strong> using <strong>the</strong> approach)<br />

It is <strong>the</strong> same situation as in compliance with previous criterion:<br />

Interest rate <strong>risk</strong>: <strong>risk</strong> weight approaches: 10/10 VaR approaches: 0/10.<br />

Currency <strong>risk</strong>: <strong>risk</strong> weight approaches: 10/10 VaR approaches: 0/10.<br />

Security <strong>risk</strong>: <strong>risk</strong> weight approaches: 10/10 VaR approaches: 0/10.<br />

Compliance <strong>of</strong> alternative approaches with Criterion D (reduction <strong>of</strong> losses when <strong>the</strong> approach is<br />

applied)<br />

Situation is different for different types <strong>of</strong> <strong>risk</strong>s: for interest rate and currency <strong>risk</strong> <strong>management</strong><br />

purposes, adoption <strong>of</strong> VaR measures would give information that would help in decision-making process, it<br />

would help <strong>to</strong> set adequate limits and apply appropriate tactics. While in case <strong>of</strong> security <strong>risk</strong>, due <strong>to</strong> <strong>the</strong> small<br />

size <strong>of</strong> portfolio, it is not likely that possible positive effects would outweigh <strong>the</strong> cost <strong>of</strong> <strong>the</strong> adoption. While<br />

<strong>the</strong> trading equity/bond portfolio is this small, it is better <strong>to</strong> allocate <strong>the</strong> resources <strong>to</strong>wards o<strong>the</strong>r fields <strong>of</strong><br />

activity. Rating <strong>of</strong> approaches according <strong>the</strong>ir compliance with criterion D is <strong>the</strong> following:<br />

Interest rate <strong>risk</strong>: <strong>risk</strong> weight approaches: 0/10 VaR approaches: 10/10.<br />

Currency <strong>risk</strong>: <strong>risk</strong> weight approaches: 0/10 VaR approaches: 10/10.<br />

Security <strong>risk</strong>: <strong>risk</strong> weight approaches: 7/10 VaR approaches: 3/10.<br />

Compliance <strong>of</strong> alternative approaches with Criterion E (changes in capital charges calculated<br />

using <strong>the</strong> method)<br />

Calculations done by <strong>the</strong> author show that as for currency <strong>risk</strong>, capital charge calculated using his<strong>to</strong>rical<br />

VaR would be approximately 2 times lower than capital charge calculated using <strong>risk</strong> weights. If <strong>the</strong> bank does<br />

not specialize in <strong>risk</strong>y operations, usually calculation by <strong>risk</strong> weights results in higher capital charges than<br />

calculation using VaR.<br />

Rating <strong>of</strong> approaches according <strong>the</strong>ir compliance with criterion E is <strong>the</strong> following:<br />

Interest rate <strong>risk</strong>: <strong>risk</strong> weight approaches: 0/10 VaR approaches: 10/10.<br />

Currency <strong>risk</strong>: <strong>risk</strong> weight approaches: 0/10 VaR approaches: 10/10.<br />

Security <strong>risk</strong>: <strong>risk</strong> weight approaches: 0/10 VaR approaches: 10/10.<br />

Selection <strong>of</strong> <strong>the</strong> approach<br />

After calculation <strong>of</strong> compliance <strong>of</strong> alternative approaches with <strong>the</strong> criteria, <strong>the</strong> score for <strong>the</strong> <strong>model</strong> (SM)<br />

is calculated for each <strong>of</strong> <strong>the</strong> alternative approaches in <strong>the</strong> Tables 6-8.<br />

Table 6. Result <strong>of</strong> comparison <strong>of</strong> interest rate <strong>risk</strong> <strong>management</strong> approaches<br />

Method<br />

A<br />

(max. 17)<br />

B<br />

(max. 22)<br />

C<br />

(max. 21)<br />

SM<br />

D<br />

(max. 23)<br />

E<br />

(max. 17)<br />

Risk weights 0.0 22.0 22.0 0.0 0.0 44.0<br />

VaR 17.0 0.0 0.0 23.0 17.0 57.0<br />

Table 7. Result <strong>of</strong> comparison <strong>of</strong> currency <strong>risk</strong> <strong>management</strong> approaches<br />

Method<br />

A<br />

(max. 17)<br />

B<br />

(max. 22)<br />

C<br />

(max. 21)<br />

SM<br />

D<br />

(max. 23)<br />

E<br />

(max. 17)<br />

Risk weights 0.0 22.0 22.0 0.0 0.0 44.0<br />

Total<br />

Total<br />

VaR 17.0 0.0 0.0 23.0 17.0 57.0


56<br />

VADYBA / MANAGEMENT. 2006 m. Nr. 2(11)<br />

Table 8. Result <strong>of</strong> comparison <strong>of</strong> security <strong>risk</strong> <strong>management</strong> approaches<br />

Method<br />

A<br />

(max. 17)<br />

B<br />

(max. 22)<br />

C<br />

(max. 21)<br />

SM<br />

D<br />

(max. 23)<br />

E<br />

(max. 17)<br />

Risk weight 0.0 22.0 22.0 16.1 0.0 60.1<br />

VaR 17.0 0.0 0.0 6.9 17.0 40.9<br />

As it is seen from <strong>the</strong> tables, adoption <strong>of</strong> VaR measures would be appropriate for interest rate and<br />

currency <strong>risk</strong> <strong>management</strong>, but for measurement <strong>of</strong> security <strong>risk</strong>, <strong>risk</strong> weight measures would be more<br />

appropriate since <strong>the</strong> security <strong>risk</strong> is insignificant for <strong>the</strong> bank X and likely benefits from VaR measures cannot<br />

outweigh <strong>the</strong> cost <strong>of</strong> adoption <strong>of</strong> <strong>the</strong>se measures.<br />

7. Selection <strong>of</strong> <strong>the</strong> <strong>model</strong>s for operational <strong>risk</strong> <strong>management</strong><br />

There are many operational <strong>risk</strong>s, every needs individual <strong>management</strong> method. That’s why just <strong>the</strong><br />

alternative operational <strong>risk</strong> measurement approaches (Basic Indica<strong>to</strong>r, Standard, Advanced Measurement) will<br />

be studied in this paper.<br />

Compliance <strong>of</strong> alternative approaches with Criterion A (accuracy <strong>of</strong> approaches)<br />

Basic indica<strong>to</strong>r approach does not reflect any <strong>of</strong> bank’s activities; it’s just a ratio time’s gross income.<br />

Standard approach takes in<strong>to</strong> account business lines <strong>of</strong> bank’s activity but still does not reflect anything with<br />

much accuracy. Rating <strong>of</strong> approaches according <strong>the</strong>ir compliance with criterion A is <strong>the</strong> following:<br />

Basic indica<strong>to</strong>r approach: 0/10 Standard approach: 2/10 Advanced Measurement approach:<br />

10/10<br />

Compliance <strong>of</strong> alternative approaches with Criterion B (cost <strong>of</strong> <strong>the</strong> adoption)<br />

Using Basic Indica<strong>to</strong>r or Standard approaches would require no additional costs while adoption <strong>of</strong><br />

Advanced Measurement approaches would have costs. But Advanced Measurement Approach does not get<br />

minimal score, because some improvements would need <strong>to</strong> be included in operational <strong>risk</strong> <strong>management</strong> system<br />

even without adopting this approach anyway. Rating <strong>of</strong> approaches according <strong>the</strong>ir compliance with criterion<br />

B is <strong>the</strong> following:<br />

Basic indica<strong>to</strong>r approach: 10/10 Standard approach: 10/10 Advanced Measurement approach:<br />

5/10<br />

Compliance <strong>of</strong> alternative approaches with Criterion C (cost <strong>of</strong> using <strong>the</strong> approach)<br />

It’s similar situation as in compliance with previous criterion. As using Advanced Measurement<br />

approach requires constant reporting, it would be needed <strong>to</strong> carry out not regarding which measurement<br />

approach is used. Rating <strong>of</strong> approaches according <strong>the</strong>ir compliance with criterion C is <strong>the</strong> following:<br />

Basic indica<strong>to</strong>r approach: 10/10 Standard approach: 10/10 Advanced Measurement approach:<br />

6/10<br />

Compliance <strong>of</strong> alternative approaches with Criterion D (reduction <strong>of</strong> losses when <strong>the</strong> approach is<br />

applied)<br />

The only approach that has relevance <strong>to</strong> <strong>risk</strong> <strong>management</strong> situation is Advanced Measurement approach.<br />

Basic indica<strong>to</strong>r approach: 0/10 Standard approach: 0/10 Advanced Measurement approach:<br />

10/10<br />

Compliance <strong>of</strong> alternative approaches with Criterion E (changes in capital charges calculated<br />

using <strong>the</strong> method)<br />

If <strong>the</strong> bank is not engaged in very <strong>risk</strong>y activities, Basic Indica<strong>to</strong>r and Standard approaches should result<br />

in higher capital charges. Additionally, when Advanced Measurement approach is applied, bank will be<br />

allowed <strong>to</strong> recognize <strong>the</strong> <strong>risk</strong> mitigating impact <strong>of</strong> insurance in <strong>the</strong> measures <strong>of</strong> operational <strong>risk</strong> used for<br />

regula<strong>to</strong>ry minimum capital requirements.<br />

Total


VADYBA / MANAGEMENT. 2006 m. Nr. 2(11) 57<br />

Rating <strong>of</strong> approaches according <strong>the</strong>ir compliance with criterion E is <strong>the</strong> following:<br />

Basic indica<strong>to</strong>r approach: 0/10 Standard approach: 3/10 Advanced Measurement approach:<br />

10/10<br />

After calculation <strong>of</strong> compliance <strong>of</strong> alternative approaches with <strong>the</strong> criteria, <strong>the</strong> score for <strong>the</strong> <strong>model</strong> (SM)<br />

is calculated for each <strong>of</strong> <strong>the</strong> alternative approaches in <strong>the</strong> Table 9.<br />

Table 9. Result <strong>of</strong> comparison <strong>of</strong> operational <strong>risk</strong> <strong>management</strong> approaches<br />

Approach<br />

A<br />

(max. 17)<br />

B<br />

(max. 22)<br />

C<br />

(max. 21)<br />

SM<br />

D<br />

(max. 23)<br />

E<br />

(max. 17)<br />

Basic Indica<strong>to</strong>r 0.0 22.0 22.0 0.0 0.0 44.0<br />

Standard 3.4 22.0 22.0 0.0 5.1 52.5<br />

Advanced Measurement 17.0 11.0 12.6 23.0 17.0 80.6<br />

As seen from table, adoption <strong>of</strong> Advanced Measurement approach would be most suitable for<br />

operational <strong>risk</strong> measurement.<br />

Conclusion<br />

Commercial banks cope with many <strong>risk</strong>s, <strong>the</strong> most important <strong>of</strong> which are credit, market, operational and<br />

liquidity <strong>risk</strong>s. As modern banking technologies develop, <strong>new</strong> <strong>risk</strong>s occur. Statistical <strong>risk</strong> <strong>management</strong><br />

methods, that combined with o<strong>the</strong>r <strong>management</strong> methods give good results, are becoming more popular and<br />

widely used. In order <strong>to</strong> adapt <strong>the</strong>ir <strong>risk</strong> <strong>management</strong> systems <strong>to</strong> Basel II, most commercial banks will have <strong>to</strong><br />

make changes in <strong>the</strong>ir <strong>risk</strong> <strong>management</strong> <strong>model</strong>s. This study showed how paired comparison method could be<br />

adapted <strong>to</strong> give weights <strong>to</strong> selected criteria, and how <strong>the</strong>se criteria could be used <strong>to</strong> improve and adapt <strong>risk</strong><br />

<strong>management</strong> <strong>model</strong> <strong>of</strong> <strong>the</strong> small Lithuanian bank X <strong>to</strong> <strong>the</strong> Basel II. It came <strong>to</strong> <strong>the</strong> conclusion that adding<br />

statistical VaR based approaches <strong>to</strong> bank’s X <strong>risk</strong> <strong>management</strong> <strong>model</strong>s would help <strong>to</strong> improve <strong>risk</strong><br />

<strong>management</strong>, but only combined with <strong>the</strong> classic <strong>risk</strong> <strong>management</strong> methods and that if certain <strong>risk</strong> is not <strong>of</strong><br />

significant importance (e.g. security <strong>risk</strong> for bank X), usage <strong>of</strong> VaR would not give optimal result as<br />

implementation and usage costs <strong>of</strong> this <strong>model</strong> are higher than likely benefits. On <strong>the</strong> o<strong>the</strong>r hand, though<br />

associated with costs, adoption <strong>of</strong> more advanced <strong>risk</strong> <strong>management</strong> methods would give positive results <strong>to</strong> <strong>the</strong><br />

bank through improved accuracy <strong>of</strong> <strong>risk</strong> <strong>management</strong>, reduction <strong>of</strong> losses from <strong>the</strong> <strong>risk</strong> and better allocated<br />

capital.<br />

REFERENCES<br />

1. Basel Committee on Banking Supervision Overview <strong>of</strong> New Capital Accord, 2001 // http://www.bis.org<br />

2. Basel Committee on Banking Supervision Quantitative Impact Study 3 – Overview <strong>of</strong> Global Results, May 2003 //<br />

http://www.bis.org/<br />

3. Basel Committee on Banking Supervision International Convergence <strong>of</strong> Capital Measurement and Capital Standards. A Revised<br />

Framework. Updated November 2005 // http://www.bis.org<br />

4. Bessis J. Risk Management in Banking. - London, John Wiley & Sons, 1999;<br />

5. Delloitte and Touche Risk Management in Age <strong>of</strong> Change, 2001 [compact disc];<br />

6. Jasevi�ien� F., Valvonis V. Paskol� vertinimas: tarptautin� ir Lietuvos praktika // Pinig� studijos, 2003 Nr.1, p. 23-49;<br />

7. Office <strong>of</strong> <strong>the</strong> Comptroller <strong>of</strong> <strong>the</strong> Currency, Washing<strong>to</strong>n, D.C. Liquidity. Comptroller’s Handbook, February 2001 //<br />

http://www.occ.treas.gov/;<br />

Total

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