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  • VI. Examples

    • A. Basic Indicator Approach

      The Basic Indicator Approach (BIA) is a simple approach for calculating the capital charge for operational risk. It can be used by banks that are not internationally active, as well as by banks that are internationally active but may not as yet have risk management systems in place for using the more advanced approaches for measuring operational risk. Below is an example of ABC bank and how the Operational risk capital charge is calculated on Basic Indicator Approach

      1- Calculating gross income through the table shows part of the income statement of ABC bank for 2003.

        Income statement of ABC bank for 2003
        Operating income 
        Interest income150
        Interest expenses110
        Provisions made20
        Net interest income after provisions20
        Fees and commissions received80
        Fees and commissions paid50
        including fees paid for outsourcing12
        Other income
        From disposal of subsidiaries
        From disposal of available for sale
        Investments

        10
        8
        0
        Net non-interest income48
        Total operating income68

         

        The net interest income to be used in gross income for calculating the operational risk capital charge after provisions. Normally banks reduce this amount to arrive at the operating income, however, in the calculation of capital charge for operational risk, net interest income is gross of provisions.

        In this example, net interest income is interest income minus interest expenses.

        150 – 110 = 40

        While for calculating net non-interest income for calculating operational risk capital charge, in this example:

        Net non-interest income is fees and commissions received (80) minus fees and commissions paid, adjusted for outsourcing fees paid (50 – 12 = 38). Therefore, the amount will be 42.

        2- Calculating operational risk capital charge under BIA

        The following table shows how to calculate the operational risk capital charge under the BIA.

        YearGross income of the bank
        2002120
        200320
        2004250
        Total positive GI for 3 years390 (120+20+250)
        Three year average of positive Gross Income130 (390/3)
        Alpha15%
        Operational risk capital requirement under BIA19.5 ((390*15%)/3 or 130*15%

         

        3- Treatment of Negative Gross Income

        Below is the calculation of the operational risk capital charge when the bank has negative gross income for a year.

         Amount
        Gross income year 1-120
        Gross income year 220
        Gross income year 3250
        Total of positive gross income270
        Number of years with positive gross income2
        Average of positive annual gross income for the last three years135 (270/2)
        Alpha15%
        Operational risk capital requirement20.25 (135*15%)

         

        Since negative gross income leads to exclusion of data points for that year from both the numerator and the denominator of the BIA operational risk formula, it could at times result in some distortions. For example, a bank that has negative gross income for one of three years might end up with a higher operational risk capital charge than if it were to have positive gross income for that year, even if it was a small amount. To ensure that such distortions do not occur, the supervisor should review and consider appropriate actions under Pillar 2.

      • B. Standardised Approach

        1- Below is small example indicated which to include and exclude in the gross income:

        IncludedExcluded
        ProvisionsProfits/losses from sale of securities
        Operating expensesExtraordinary/ irregular items

         

        Gross income for each business line should:

        1. -Be gross of any provisions (for example, for unpaid interest).
        2. -Be gross of operating expenses, including fees paid to outsourcing service providers.
        3. -Exclude realised profits/losses from the sale of securities in the banking book.
        4. -Exclude extraordinary or irregular items as well as income derived from insurance claims.

        2- The following table shows how to calculate the capital charge for operational risk using the Standardised Approach:

        Business lineBeta factorGross incomeCapital requirement
          Year 1Year 2Year 3Year 1Year 2*Year 3Average
        Corporate finance18%250300200455436 
        Trading and sales18%100-70-8018-12.6-14.4 
        Retail banking12%500200-3006024-36 
        Commercial banking15%400300400604560 
        Payment and settlement18%300350300546354 
        Agency services15%75504511.257.56.75 
        Asset management12%50-100-206-12-2.4 
        Retail brokerage12%1501008018129.6 
        Total Gross Income 1,8251,130625    
        Aggregate Capital Requirement**    272.25180.9113.55189***

        *Gross Income x Beta factor

        **Sum of eight capital charges for the year – remember within a year negative capital charges can offset positive charges among business lines

        ***Three-year average capital charge

        3- Another example to illustrate the negative Gross income:

        Business lineBeta factorGross incomeCapital requirement
          Year 1Year 2Year 3Year 1Year 2Year 3Average
        Corporate finance18%250-300200455436 
        Trading and sales18%100-70-8018-12.6-14.4 
        Retail banking12%500200-3006024-36 
        Commercial banking15%400-300400604560 
        Payment and settlement18%300350300546354 
        Agency services15%75504511.257.56.75 
        Asset management12%50-100-206-12-2.4 
        Retail brokerage12%1501008018129.6 
        Total Gross Income 1,825-70625    
        Aggregate Capital Requirement    272.250*113.55129**

        *Total capital charge against all business lines for year 2 is negative (-17.1), so the numerator for year 2 is set to zero

        **Capital charge averaged for three years, with the numerator for year 2 set to zero

      • C. Alternative Standardised Approach

        The following table shows how to calculate the capital charge for operational risk using the Alternative Standardised Approach.

        Business lineBeta factorExposure Indicator*Capital requirement**
          Year 1Year 2Year 3Year 1Year 2Year 3Average
        Corporate finance18%250300200455436 
        Trading and sales18%100-70-8018-12.6-14.4 
        Retail banking12%700***875***945***84105113.4 
        Commercial banking15%875***910***980***131.25136.5147 
        Payment and settlement18%300350300546354 
        Agency services15%75504511.257.56.75 
        Asset management12%50-100-206-12-2.4 
        Retail brokerage12%1501008018129.6 
        Total Gross Income 2,5002,4152,450    
        Aggregate Capital Requirement    367.5353.4#349.95356.95##

        *Gross income/loans & advances x m
        **Exposure indicator (GI or LA x m) x β
        ***Outstanding loans and advances x m (0.035)
        # Sum of eight capital charges for the year
        ## Three year average capital charge