C » Topics » Trading Portfolios

This excerpt taken from the C 10-Q filed May 4, 2007.

Trading Portfolios

        Price risk in trading portfolios is monitored using a series of measures, including:

    factor sensitivities;

    Value-at-Risk (VAR); and

    stress testing.

        Factor sensitivities are expressed as the change in the value of a position for a defined change in a market risk factor, such as a change in the value of a Treasury bill for a one basis point change in interest rates. Citigroup's independent market risk management ensures that factor sensitivities are calculated, monitored and, in most cases, limited, for all relevant risks taken in a trading portfolio.

        VAR estimates the potential decline in the value of a position or a portfolio under normal market conditions. The VAR method incorporates the factor sensitivities of the trading portfolio with the volatilities and correlations of those factors and is expressed as the risk to the Company over a one-day holding period, at a 99% confidence level. Citigroup's VAR is based on the volatilities of and correlations between a multitude of market risk factors as well as factors that track the specific issuer risk in debt and equity securities.

        Stress testing is performed on trading portfolios on a regular basis to estimate the impact of extreme market movements. It is performed on both individual trading portfolios, as well as on aggregations of portfolios and businesses. Independent market risk management, in conjunction with the businesses, develops stress scenarios, reviews the output of periodic stress testing exercises, and uses the information to make judgments as to the ongoing appropriateness of exposure levels and limits.

        Each trading portfolio has its own market risk limit framework, encompassing these measures and other controls, including permitted product lists and a new product approval process for complex products.

        Risk capital for market risk in trading portfolios is based on an annualized VAR figure.

        Total revenues of the trading business consist of:

    Customer revenue, which includes spreads from customer flow and positions taken to facilitate customer orders;

    Proprietary trading activities in both cash and derivative transactions; and

    Net interest revenue.

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        All trading positions are marked-to-market, with the result reflected in earnings.

        Citigroup periodically performs extensive back-testing of many hypothetical test portfolios as one check of the accuracy of its VAR. Back-testing is the process in which the daily VAR of a portfolio is compared to the actual daily change in the market value of its transactions. Back-testing is conducted to confirm that the daily market value losses in excess of 99% confidence level occur, on average, only 1% of the time. The VAR calculation for the hypothetical test portfolios, with different degrees of risk concentration, meets this statistical criteria.

        The level of price risk exposure at any given point in time depends on the market environment and expectations of future price and market movements, and will vary from period to period.

        For Citigroup's major trading centers, the aggregate pretax VAR in the trading portfolios was $122 million, $106 million, and $106 million at March 31, 2007, December 31, 2006, and March 31, 2006, respectively. Daily exposures averaged $121 million during the first quarter of 2007 and ranged from $100 million to $140 million.

        The following table summarizes VAR to Citigroup in the trading portfolios at March 31, 2007, December 31, 2006, and March 31, 2006, including the Total VAR, the specific risk only component of VAR, and Total—General market factors only, along with the quarterly averages:

In million of dollars

  March 31,
2007

  First Quarter
2007 Average

  December 31,
2006

  Fourth
Quarter 2006
Average

  March 31,
2006

  First Quarter
2006 Average

 
Interest rate   $ 99   $ 95   $ 81   $ 79   $ 95   $ 86  
Foreign exchange     29     28     27     30     29     23  
Equity     77     70     62     51     43     48  
Commodity     27     28     18     15     15     12  
Covariance adjustment     (110 )   (100 )   (82 )   (79 )   (76 )   (67 )
   
 
 
 
 
 
 
Total — All market risk factors, including general and specific risk   $ 122   $ 121   $ 106   $ 96   $ 106   $ 102  
   
 
 
 
 
 
 
Specific risk only component   $ 5   $ 12   $ 8   $ 12   $ 10   $ 11  
   
 
 
 
 
 
 
Total — General market factors only   $ 117   $ 109   $ 98   $ 84   $ 96   $ 91  
   
 
 
 
 
 
 

        The specific risk only component represents the level of equity and debt issuer-specific risk embedded in VAR. Citigroup's specific risk model conforms to the 4x-multiplier treatment approved by the Federal Reserve and is subject to extensive annual hypothetical back-testing.

        The table below provides the range of VAR in each type of trading portfolio that was experienced during the quarters ended:

 
  March 31, 2007
  December 31, 2006
  March 31, 2006
In millions of dollars

  Low
  High
  Low
  High
  Low
  High
Interest rate   $ 71   $ 125   $ 64   $ 98   $ 69   $ 107
Foreign exchange     21     35     23     45     16     34
Equity     55     85     41     65     42     58
Commodity     17     34     11     20     5     18
   
 
 
 
 
 

59


This excerpt taken from the C 10-Q filed Nov 3, 2006.

Trading Portfolios

        Price risk in trading portfolios is monitored using a series of measures, including:

    factor sensitivities;

    value-at-risk; and

    stress testing.

        Factor sensitivities are expressed as the change in the value of a position for a defined change in a market risk factor, an example of which is the change in the value of a Treasury bill for a one basis point change in interest rates. Citigroup's independent market risk management ensures that factor sensitivities are calculated, monitored and, in most cases, limited, for all relevant risks taken in a trading portfolio.

        Value-at-Risk (VAR) estimates the potential decline in the value of a position or a portfolio under normal market conditions. The VAR method incorporates the factor sensitivities of the trading portfolio with the volatilities and correlations of those factors and is expressed as the risk to the Company over a one-day holding period, at a 99% confidence level. Citigroup's VAR is based on the volatilities of and correlations between a multitude of market risk factors as well as factors that track the specific issuer risk in debt and equity securities.

        Stress testing is performed on trading portfolios on a regular basis to estimate the impact of extreme market movements. It is performed on both individual trading portfolios, as well as on aggregations of portfolios and businesses. Independent market risk management, in conjunction with the businesses, develops stress scenarios, reviews the output of periodic stress testing exercises, and uses the information to make judgments as to the ongoing appropriateness of exposure levels and limits.

        Each trading portfolio has its own market risk limit framework, encompassing these measures and other controls, including permitted product lists and a new product approval process for complex products.

        Total revenues of the trading business consist of:

    Customer revenue, which includes spreads from customer flow and positions taken to facilitate customer orders;

    Proprietary trading activities in both cash and derivative transactions; and

    Net interest revenue.

        All trading positions are marked-to-market, with the result reflected in earnings.

63


        Citigroup periodically performs extensive back-testing of many hypothetical test portfolios as one check of the accuracy of its VAR. Back-testing is the process by which the daily VAR of a portfolio is compared to the actual daily change in the market value of its transactions. Back-testing is conducted to confirm that the daily market value losses in excess of 99% confidence level occur, on average, only 1% of the time. The VAR calculation for the hypothetical test portfolios, with different degrees of risk concentration, meets this statistical criteria.

        The level of price risk exposure at any given point in time depends on the market environment and expectations of future price and market movements, and will vary from period to period.

        For Citigroup's major trading centers, the aggregate pretax VAR in the trading portfolios was $90 million, $97 million, and $93 million at September 30, 2006, June 30, 2006, and September 30, 2005, respectively. Daily exposures averaged $86 million during the 2006 third quarter and ranged from $74 million to $107 million.

        The following table summarizes VAR to Citigroup in the trading portfolios at September 30, 2006, June 30, 2006, and September 30, 2005, including the Total VAR, the specific risk only component of VAR, and Total—General market factors only, along with the quarterly averages:

In million of dollars

  September 30,
2006

  Third Quarter
2006 Average

  June 30,
2006

  Second Quarter
2006 Average

  September 30,
2005

  Third Quarter
2005 Average

 
Interest rate   $ 89   $ 81   $ 96   $ 103   $ 69   $ 78  
Foreign exchange     28     26     27     29     13     14  
Equity     44     42     41     51     54     44  
Commodity     11     13     13     19     13     15  
Covariance adjustment     (82 )   (76 )   (80 )   (87 )   (56 )   (59 )
   
 
 
 
 
 
 
Total—All market risk factors, including general and specific risk   $ 90   $ 86   $ 97   $ 115   $ 93   $ 92  
   
 
 
 
 
 
 
Specific risk only component   $ 9   $ 10   $ 5   $ 10   $ 8   $ 6  
   
 
 
 
 
 
 
Total—General market factors only   $ 81   $ 76   $ 92   $ 105   $ 85   $ 86  
   
 
 
 
 
 
 

        The specific risk-only component represents the level of equity and debt issuer-specific risk embedded in VAR. Citigroup's specific risk model conforms to the 4x-multiplier treatment approved by the Federal Reserve and is subject to extensive annual hypothetical back-testing.

        The table below provides the range of VAR in each type of trading portfolio that was experienced during the quarters ended:

 
  September 30, 2006
  June 30, 2006
  September 30, 2005
In millions of dollars

  Low
  High
  Low
  High
  Low
  High
Interest rate   $ 68   $ 106   $ 86   $ 125   $ 62   $ 112
Foreign exchange     17     39     21     40     9     20
Equity     35     49     41     68     32     60
Commodity     9     18     12     25     13     17
   
 
 
 
 
 

64


This excerpt taken from the C 10-Q filed Aug 4, 2006.

Trading Portfolios

        Price risk in trading portfolios is monitored using a series of measures, including:

    factor sensitivities;

    value-at-risk; and

    stress testing.

        Factor sensitivities are expressed as the change in the value of a position for a defined change in a market risk factor, an example of which is the change in the value of a Treasury bill for a one basis point change in interest rates. Citigroup's independent market risk management ensures that factor sensitivities are calculated, monitored and, in most cases, limited, for all relevant risks taken in a trading portfolio.

        Value-at-Risk (VAR) estimates the potential decline in the value of a position or a portfolio under normal market conditions. The VAR method incorporates the factor sensitivities of the trading portfolio with the volatilities and correlations of those factors and is expressed as the risk to the Company over a one-day holding period, at a 99% confidence level. Citigroup's VAR is based on the volatilities of and correlations between a multitude of market risk factors as well as factors that track the specific issuer risk in debt and equity securities.

        Stress testing is performed on trading portfolios on a regular basis to estimate the impact of extreme market movements. It is performed on both individual trading portfolios, as well as on aggregations of portfolios and businesses. Independent market risk management, in conjunction with the businesses, develops stress scenarios, reviews the output of periodic stress testing exercises, and uses the information to make judgments as to the ongoing appropriateness of exposure levels and limits.

        Each trading portfolio has its own market risk limit framework, encompassing these measures and other controls, including permitted product lists and a new product approval process for complex products.

        Total revenues of the trading business consist of:

    Customer revenue, which includes spreads from customer flow and positions taken to facilitate customer orders;

    Proprietary trading activities in both cash and derivative transactions; and

    Net interest revenue.

        All trading positions are marked-to-market, with the result reflected in earnings.

60


        Citigroup periodically performs extensive back-testing of many hypothetical test portfolios as one check of the accuracy of its VAR. Back-testing is the process by which the daily VAR of a portfolio is compared to the actual daily change in the market value of its transactions. Back-testing is conducted to confirm that the daily market value losses in excess of 99% confidence level occur, on average, only 1% of the time. The VAR calculation for the hypothetical test portfolios, with different degrees of risk concentration, meets this statistical criteria.

        The level of price risk exposure at any given point in time depends on the market environment and expectations of future price and market movements, and will vary from period to period.

        For Citigroup's major trading centers, the aggregate pretax VAR in the trading portfolios was $97 million, $106 million, and $113 million at June 30, 2006, March 31, 2006, and June 30, 2005, respectively. Daily exposures averaged $115 million during the 2006 second quarter and ranged from $97 million to $133 million.

        The following table summarizes VAR to Citigroup in the trading portfolios at June 30, 2006, March 31, 2006, and June 30, 2005, including the Total VAR, the specific risk-only component of VAR, and Total—General market factors only, along with the quarterly averages:

In million of dollars

  June 30,
2006

  Second Quarter
2006 Average

  March 31,
2006

  First Quarter
2006 Average

  June 30,
2005

  Second Quarter
2005 Average

 
Interest rate   $ 96   $ 103   $ 95   $ 86   $ 109   $ 129  
Foreign exchange     27     29     29     23     16     12  
Equity     41     51     43     48     37     33  
Commodity     13     19     15     12     15     17  
Covariance adjustment     (80 )   (87 )   (76 )   (67 )   (64 )   (61 )
   
 
 
 
 
 
 
Total—All market risk factors, including general and specific risk   $ 97   $ 115   $ 106   $ 102   $ 113   $ 130  
   
 
 
 
 
 
 
Specific risk only component   $ 5   $ 10   $ 10   $ 11   $ 7   $ 6  
   
 
 
 
 
 
 
Total—General market factors only   $ 92   $ 105   $ 96   $ 91   $ 106   $ 124  
   
 
 
 
 
 
 

        The specific risk-only component represents the level of equity and debt issuer-specific risk embedded in VAR. Citigroup's specific risk model conforms to the 4x-multiplier treatment approved by the Federal Reserve and is subject to extensive annual hypothetical back-testing.

        The table below provides the range of VAR in each type of trading portfolio that was experienced during the quarters ended:

 
  June 30, 2006
  March 31, 2006
  June 30, 2005
In millions of dollars

  Low
  High
  Low
  High
  Low
  High
Interest rate   $ 86   $ 125   $ 69   $ 107   $ 93   $ 155
Foreign exchange     21     40     16     34     9     19
Equity     41     68     42     58     28     41
Commodity     12     25     5     18     15     21
   
 
 
 
 
 

61


This excerpt taken from the C 10-Q filed May 5, 2006.

Trading Portfolios

        Price risk in trading portfolios is measured through a complementary set of tools, including factor sensitivities, value-at-risk, and stress testing. Each of these is discussed in greater detail below. Each trading portfolio has its own market risk limit framework, encompassing these measures and other controls, including permitted product lists and a new product approval process for complex products.

        Factor sensitivities are defined as the change in the value of a position for a defined change in a market risk factor (e.g., the change in the value of a Treasury bill for a one basis point change in interest rates). It is the responsibility of independent market risk management to ensure that factor sensitivities are calculated, monitored and, in most cases, limited, for all relevant risks taken in a trading portfolio.

        Value-at-Risk (VAR) estimates the potential decline in the value of a position or a portfolio, under normal market conditions, over a one-day holding period, at a 99% confidence level. The VAR method incorporates the factor sensitivities of the trading portfolio with the volatilities and correlations of those factors. Citigroup's VAR is based on the volatilities of, and correlations between, approximately 250,000 market risk factors, including factors that track the specific issuer risk in debt and equity securities.

        Stress testing is performed on trading portfolios on a regular basis to estimate the impact of extreme market movements. Stress testing is performed on individual trading portfolios, as well as on aggregations of portfolios and businesses, as appropriate. It is the responsibility of independent market risk management, in conjunction with the businesses, to develop stress scenarios, review the output of periodic stress testing exercises, and use the information to make judgments as to the ongoing appropriateness of exposure levels and limits.

        Risk capital for market risk in trading portfolios is based on an annualized VAR figure, with adjustments for intra-day trading activity.

        Total revenues of the trading business consist of customer revenue, which includes spreads from customer flow and positions taken to facilitate customer orders; proprietary trading activities in both cash and derivative transactions; and net interest revenue. All trading positions are marked-to-market, with the result reflected in earnings.

57


        Citigroup periodically performs extensive back-testing of many hypothetical test portfolios as one check of the accuracy of its Value-at-Risk (VAR). Back-testing is the process in which the daily VAR of a test portfolio is compared to the ex-post daily change in the market value of its transactions. Back-testing is conducted to confirm the validity of the 99% confidence level that daily market value losses in excess of 99% confidence level occur, on average, only 1% of the time. The VAR calculation for the hypothetical test portfolios, with different degrees of risk concentration, meets this statistical criteria.

        The level of price risk exposure at any given point in time depends on the market environment and expectations of future price and market movements, and will vary from period to period.

        For Citigroup's major trading centers, the aggregate pretax VAR in the trading portfolios was $106 million, $93 million, and $116 million at March 31, 2006, December 31, 2005 and March 31, 2005, respectively. Daily exposures averaged $102 million during the 2006 first quarter and ranged from $83 million to $121 million.

        The following table summarizes Value-at-Risk to Citigroup in the trading portfolios at March 31, 2006, December 31, 2005 and March 31, 2005, along with the quarterly averages:

In million of dollars

  March 31,
2006

  First Quarter
2006 Average

  December 31,
2005

  Fourth Quarter
2005 Average

  March 31,
2005

  First Quarter
2005 Average

 
Interest rate   $ 95   $ 86   $ 83   $ 79   $ 111   $ 115  
Foreign exchange     29     23     17     15     13     16  
Equity     43     48     50     51     34     33  
Commodity     15     12     8     8     20     18  
Covariance adjustment     (76 )   (67 )   (65 )   (63 )   (62 )   (58 )
   
 
 
 
 
 
 
Total—All market risk factors, including general and specific risk   $ 106   $ 102   $ 93   $ 90   $ 116   $ 124  
   
 
 
 
 
 
 
Specific risk component   $ 10   $ 11   $ 12   $ 8   $ 3   $ 6  
   
 
 
 
 
 
 
Total—General market factors only   $ 96   $ 91   $ 81   $ 82   $ 113   $ 118  
   
 
 
 
 
 
 

        The specific risk component represents the level of issuer-specific risk embedded in the VAR, arising from both debt and equity securities. Citigroup's specific risk model conforms with the 4x-multiplier treatment approved by the Federal Reserve and is subject to extensive hypothetical back-testing (performed on an annual basis), including many portfolios with position concentrations.

        The table below provides the range of VAR in the trading portfolios that was experienced during the quarters ended:

 
   
   
  December 31, 2005
   
   
 
  March 31, 2006
  March 31, 2005
In millions of dollars

  Low
  High
  Low
  High
  Low
  High
Interest rate   $ 69   $ 107   $ 68   $ 92   $ 94   $ 151
Foreign exchange     16     34     11     21     10     23
Equity     42     58     40     63     27     41
Commodity     5     18     5     16     15     24
   
 
 
 
 
 

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