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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 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:
58 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 TotalGeneral market factors only, along with the quarterly averages:
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:
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 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:
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 TotalGeneral market factors only, along with the quarterly averages:
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:
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 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:
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 TotalGeneral market factors only, along with the quarterly averages:
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:
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:
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:
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