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xix | |
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xxi | |
Acknowledgements |
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xxiii | |
About the Author |
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xxv | |
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3 | (2) |
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5 | (36) |
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5 | (1) |
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2.2 The Derivatives Market |
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6 | (14) |
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2.2.1 Exchange-traded and OTC Derivatives |
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6 | (2) |
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8 | (1) |
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9 | (2) |
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2.2.4 Market Participants and Collateralisation |
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11 | (3) |
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2.2.5 Banks and End Users |
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14 | (2) |
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16 | (1) |
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17 | (1) |
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2.2.8 Financial Weapons of Mass Destruction |
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18 | (1) |
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2.2.9 The Lehman Brothers Bankruptcy |
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19 | (1) |
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20 | (4) |
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21 | (1) |
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21 | (1) |
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2.3.3 Operational and Legal Risk |
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22 | (1) |
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22 | (1) |
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2.3.5 Integration of Risk Types |
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23 | (1) |
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23 | (1) |
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2.4 Systemic Risk of Derivatives |
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24 | (4) |
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24 | (1) |
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2.4.2 Special Purpose Vehicles |
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24 | (1) |
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2.4.3 Derivatives Product Companies |
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25 | (1) |
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2.4.4 Monolines and CDPCs |
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26 | (2) |
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2.5 The Global Financial Crisis and Central Clearing of OTC Derivatives |
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28 | (8) |
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2.5.1 OTC Derivatives and the Crisis |
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28 | (1) |
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2.5.2 OTC Derivatives Clearing |
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29 | (2) |
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2.5.3 CCPs in the Global Financial Crisis |
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31 | (1) |
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2.5.4 The Clearing Mandate |
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32 | (1) |
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2.5.5 Bilateral Margin Requirements |
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33 | (1) |
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34 | (2) |
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2.6 Derivatives Risk Modelling |
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36 | (5) |
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36 | (2) |
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38 | (1) |
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2.6.3 Correlation and Dependency |
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39 | (2) |
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3 Counterparty Risk and Beyond |
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41 | (22) |
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41 | (13) |
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3.1.1 Counterparty Risk Versus Lending Risk |
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41 | (1) |
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3.1.2 Settlement, Pre-settlement, and Margin Period of Risk |
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42 | (3) |
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3.1.3 Mitigating Counterparty Risk |
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45 | (1) |
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46 | (2) |
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48 | (2) |
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3.1.6 Credit Value Adjustment |
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50 | (1) |
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3.1.7 What Does CVA Represent? |
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51 | (1) |
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3.1.8 Hedging Counterparty Risk and the CVA Desk |
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52 | (2) |
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3.2 Beyond Counterparty Risk |
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54 | (3) |
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54 | (1) |
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3.2.2 Economic Costs of a Derivative |
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54 | (1) |
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55 | (2) |
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57 | (6) |
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57 | (1) |
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3.3.2 Valuation and Mark-to-market |
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57 | (1) |
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3.3.3 Replacement Cost and Credit Exposure |
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58 | (1) |
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3.3.4 Default Probability, Credit Migration, and Credit Spreads |
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59 | (1) |
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3.3.5 Recovery and Loss Given Default |
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60 | (1) |
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3.3.6 Funding, Collateral, and Capital Costs |
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61 | (2) |
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63 | (22) |
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4.1 Regulation and the Global Financial Crisis |
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63 | (1) |
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64 | (9) |
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64 | (1) |
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65 | (2) |
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67 | (1) |
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4.2.4 Market Risk Capital |
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68 | (1) |
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69 | (1) |
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70 | (1) |
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70 | (1) |
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71 | (1) |
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4.2.9 Large Exposure Framework |
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72 | (1) |
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73 | (1) |
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73 | (1) |
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73 | (4) |
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73 | (1) |
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4.3.2 High-quality Liquid Assets |
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74 | (1) |
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4.3.3 Liquidity Coverage Ratio |
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75 | (1) |
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4.3.4 Net Stable Funding Ratio |
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76 | (1) |
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4.4 Clearing and Margining |
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77 | (8) |
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77 | (4) |
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4.4.2 Bilateral Margin Requirements |
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81 | (1) |
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82 | (2) |
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4.4.4 CCP Capital Requirements |
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84 | (1) |
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85 | (26) |
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85 | (1) |
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86 | (7) |
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86 | (1) |
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86 | (1) |
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5.2.3 Why Valuation Adjustments? |
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87 | (1) |
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5.2.4 Mark-to-market and xVA as a Cost (and Benefit) |
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88 | (2) |
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5.2.5 xVAs by Transaction Type |
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90 | (1) |
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5.2.6 Overlaps and Portfolio Effects |
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91 | (1) |
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5.2.7 CVA is the Least Real Valuation Adjustment |
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92 | (1) |
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93 | (7) |
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93 | (1) |
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94 | (1) |
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5.3.3 Accounting Standards |
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95 | (3) |
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98 | (1) |
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99 | (1) |
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5.3.6 Contractual Terms and Value |
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100 | (1) |
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100 | (11) |
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5.4.1 Reality or Creating the Right Incentive? |
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100 | (1) |
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5.4.2 Approach for Capital |
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101 | (1) |
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5.4.3 Approach to Regulatory Ratios |
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102 | (2) |
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104 | (1) |
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5.4.5 Entry and Exit Pricing |
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105 | (1) |
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106 | (1) |
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106 | (5) |
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Section 2 Risk Mitigation |
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6 Netting, Close-Out, and Related Aspects |
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111 | (26) |
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111 | (1) |
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112 | (9) |
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112 | (1) |
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6.2.2 Currency Netting and CLS |
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113 | (1) |
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114 | (1) |
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6.2.4 Portfolio Compression |
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115 | (3) |
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6.2.5 Compression Algorithm |
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118 | (2) |
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6.2.6 Benefits of Cashflow Netting |
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120 | (1) |
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121 | (9) |
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121 | (1) |
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121 | (1) |
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6.3.3 Payment Under Close-out |
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122 | (2) |
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124 | (1) |
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125 | (4) |
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129 | (1) |
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6.4 The Impact of Netting |
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130 | (7) |
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130 | (1) |
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6.4.2 The Impact of Netting |
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131 | (1) |
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6.4.3 Multilateral Netting and Bifurcation |
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132 | (3) |
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6.4.4 Netting Impact on Other Creditors |
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135 | (2) |
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7 Margin (Collateral) and Settlement |
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137 | (48) |
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7.1 Termination and Reset Features |
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137 | (4) |
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137 | (3) |
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7.1.2 Resettable Transactions |
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140 | (1) |
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7.2 Basics of Margin/Collateral |
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141 | (11) |
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141 | (1) |
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142 | (2) |
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7.2.3 Variation Margin and Initial Margin |
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144 | (1) |
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7.2.4 Method of Transfer and Remuneration |
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145 | (2) |
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7.2.5 Rehypothecation and Segregation |
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147 | (3) |
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150 | (1) |
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7.2.7 Valuation Agent, Disputes, and Reconciliations |
|
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151 | (1) |
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152 | (14) |
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7.3.1 The Credit Support Annex |
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152 | (1) |
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153 | (1) |
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7.3.3 Margin Call Frequency |
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154 | (1) |
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7.3.4 Threshold, Initial Margin, and the Minimum Transfer Amount |
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155 | (2) |
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7.3.5 Margin Types and Haircuts |
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157 | (4) |
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7.3.6 Credit Support Amount Calculations |
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161 | (2) |
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7.3.7 Impact of Margin on Exposure |
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163 | (2) |
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7.3.8 Traditional Margin Practices in Bilateral and Centrally-cleared Markets |
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165 | (1) |
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7.4 Bilateral Margin Requirements |
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166 | (7) |
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7.4.1 General Requirements |
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166 | (2) |
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7.4.2 Phase-in and Coverage |
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168 | (1) |
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7.4.3 Initial Margin and Haircut Calculations |
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169 | (2) |
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7.4.4 Eligible Assets and Haircuts |
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171 | (1) |
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7.4.5 Implementation and Impact of the Requirements |
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172 | (1) |
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173 | (7) |
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7.5.1 Impact on Other Creditors |
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173 | (1) |
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7.5.2 Market Risk and Margin Period of Risk |
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174 | (4) |
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7.5.3 Liquidity, FX, and Wrong-way Risks |
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178 | (1) |
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7.5.4 Legal and Operational Risks |
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179 | (1) |
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180 | (5) |
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180 | (1) |
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7.6.2 Margin and Funding Liquidity Risk |
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181 | (4) |
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185 | (28) |
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8.1 Evolution of Central Clearing |
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185 | (4) |
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185 | (1) |
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8.1.2 Evolution of Complete Clearing |
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186 | (1) |
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187 | (2) |
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8.2 Mechanics of Central Clearing |
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189 | (8) |
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189 | (2) |
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191 | (1) |
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8.2.3 Multilateral Offset and Compression |
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192 | (2) |
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8.2.4 Margin and Default Funds |
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194 | (1) |
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8.2.5 Clearing Relationships |
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195 | (2) |
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197 | (8) |
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8.3.1 Overview and Membership Requirements |
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197 | (1) |
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198 | (1) |
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8.3.3 Default Scenarios and Margin Period of Risk |
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199 | (3) |
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202 | (2) |
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8.3.5 Comparing Bilateral and Central Clearing |
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204 | (1) |
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8.4 Initial Margin and Default Funds |
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205 | (4) |
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8.4.1 Coverage of Initial Margin and Default Funds |
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205 | (1) |
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8.4.2 Default Fund Versus Initial Margin |
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206 | (1) |
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8.4.3 Default Fund Coverage |
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207 | (2) |
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8.5 Impact of Central Clearing |
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209 | (4) |
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8.5.1 Advantages and Disadvantages of Central Clearing |
|
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209 | (1) |
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8.5.2 Will Mandatory Clearing Kill Credit Value Adjustment? |
|
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210 | (3) |
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9 Initial Margin Methodologies |
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213 | (42) |
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9.1 Role of Initial Margin |
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213 | (9) |
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213 | (2) |
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9.1.2 Margin Period of Risk |
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215 | (2) |
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9.1.3 Coverage: Quantitative and Qualitative |
|
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217 | (1) |
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218 | (1) |
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9.1.5 Linkage to Credit Quality |
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218 | (2) |
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220 | (2) |
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9.2 Initial Margin Approaches |
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222 | (7) |
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222 | (1) |
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223 | (4) |
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9.2.3 Value-at-risk and Expected Shortfall |
|
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227 | (2) |
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9.3 Historical Simulation |
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229 | (13) |
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229 | (1) |
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230 | (1) |
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9.3.3 Relative and Absolute Returns |
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231 | (2) |
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233 | (1) |
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234 | (5) |
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9.3.6 Current CCP Methodologies |
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239 | (2) |
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9.3.7 Computational Considerations |
|
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241 | (1) |
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9.4 Bilateral Margin and SIMM |
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242 | (13) |
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242 | (2) |
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244 | (1) |
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9.4.3 Variance-covariance Approaches |
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245 | (4) |
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249 | (3) |
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9.4.5 Implementation of Bilateral Margin Requirements |
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252 | (3) |
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10 The Impact and Risk of Clearing and Margining |
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255 | (28) |
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10.1 Risks of Central Clearing |
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256 | (6) |
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10.1.1 Historical CCP Problems |
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256 | (2) |
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10.1.2 The 1987 Stock Market Crash |
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258 | (1) |
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10.1.3 The 2018 Nasdaq Case |
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259 | (1) |
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10.1.4 Risks Faced by CCPs |
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260 | (1) |
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10.1.5 Risks Caused by CCPs |
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261 | (1) |
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10.2 Analysis of a CCP Loss Structure |
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262 | (9) |
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10.2.1 Review of the Loss Waterfall |
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262 | (2) |
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10.2.2 Impact of Default Fund Exposure |
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264 | (1) |
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10.2.3 The Prisoner's Dilemma and AIPs |
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265 | (2) |
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10.2.4 Other Loss Allocation Methods |
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267 | (4) |
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271 | (12) |
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10.3.1 Background and Historical Examples |
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271 | (2) |
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273 | (2) |
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275 | (1) |
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276 | (1) |
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277 | (1) |
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10.3.6 Bilateral and Cleared Markets |
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277 | (6) |
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Section 3 Building Blocks |
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11 Future Value and Exposure |
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283 | (32) |
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283 | (9) |
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11.1.1 Positive and Negative Exposure |
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283 | (1) |
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11.1.2 Definition of Value |
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284 | (1) |
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11.1.3 Current and Potential Future Exposure |
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285 | (1) |
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11.1.4 Nature of Exposure |
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286 | (2) |
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288 | (4) |
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292 | (10) |
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11.2.1 Future Uncertainty |
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292 | (1) |
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11.2.2 Cash Flow Frequency |
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293 | (1) |
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294 | (3) |
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297 | (1) |
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11.2.5 Combination of Profiles |
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298 | (1) |
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299 | (1) |
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11.2.7 Credit Derivatives |
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300 | (2) |
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11.3 Aggregation, Portfolio Effects, and the Impact of Collateralisation |
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302 | (6) |
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11.3.1 The Impact of Aggregation on Exposure |
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302 | (2) |
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11.3.2 Off-market Portfolios |
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304 | (1) |
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305 | (3) |
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11.4 Funding, Rehypothecation, and Segregation |
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308 | (7) |
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11.4.1 Funding Costs and Benefits |
|
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308 | (1) |
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11.4.2 Differences Between Funding and Credit Exposure |
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309 | (1) |
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11.4.3 Impact of Segregation and Rehypothecation |
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310 | (2) |
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11.4.4 Impact of Margin on Exposure and Funding |
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312 | (3) |
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12 Credit Spreads, Default Probabilities, and LGDs |
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315 | (24) |
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315 | (8) |
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12.1.1 Real World and Risk Neutral |
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315 | (1) |
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12.1.2 CVA and Risk-neutral Default Probabilities |
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316 | (3) |
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12.1.3 Defining Risk-neutral Default Probabilities |
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319 | (2) |
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12.1.4 Loss Given Default |
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321 | (2) |
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12.2 Credit Curve Mapping |
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323 | (7) |
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323 | (1) |
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324 | (2) |
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12.2.3 Loss Given Default |
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326 | (1) |
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327 | (3) |
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12.3 Generic Curve Construction |
|
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330 | (9) |
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330 | (2) |
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12.3.2 Intersection (Bucketing) Approach |
|
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332 | (2) |
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12.3.3 Cross-section Methodology |
|
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334 | (2) |
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12.3.4 Curve Shape, Interpolation, and Indices |
|
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336 | (1) |
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12.3.5 Third-party Providers |
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337 | (1) |
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338 | (1) |
|
13 Regulatory Methodologies |
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339 | (50) |
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339 | (2) |
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13.2 Credit Risk (Default Risk) Capital |
|
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341 | (2) |
|
13.2.1 Standardised Approach |
|
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341 | (1) |
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13.2.2 Internal Ratings-based Approach |
|
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342 | (1) |
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343 | (1) |
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13.3 CVA (Market Risk) Capital |
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343 | (13) |
|
13.3.1 The CVA Capital Charge |
|
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343 | (1) |
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13.3.2 Standardised CVA Risk Capital Charge |
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344 | (1) |
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345 | (3) |
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13.3.4 Advanced CVA Capital Risk Charge |
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348 | (3) |
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351 | (4) |
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13.3.6 Capital Relief and EU Exemptions |
|
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355 | (1) |
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13.4 Exposure Calculation Methodologies |
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356 | (18) |
|
13.4.1 Exposure at Default |
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356 | (2) |
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13.4.2 Current Exposure Method |
|
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358 | (3) |
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13.4.3 Standardised Approach for Counterparty Credit Risk |
|
|
361 | (5) |
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13.4.4 Broader Impact of SA-CCR |
|
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366 | (1) |
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13.4.5 The Internal Model Method |
|
|
367 | (5) |
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13.4.6 The Leverage Ratio |
|
|
372 | (1) |
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373 | (1) |
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374 | (10) |
|
13.5.1 Comparison of EAD Methods |
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|
374 | (3) |
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13.5.2 Comparison of Capital Charges |
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|
377 | (2) |
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379 | (5) |
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13.6 Central Counterparty Capital Requirements |
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|
384 | (5) |
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|
384 | (1) |
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|
385 | (1) |
|
13.6.3 Default Fund Exposure |
|
|
385 | (1) |
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386 | (3) |
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14 Funding, Margin, and Capital Costs |
|
|
389 | (20) |
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389 | (2) |
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391 | (3) |
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14.2.1 Minimum Capital Ratios and Capital Costs |
|
|
391 | (2) |
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393 | (1) |
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|
394 | (1) |
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|
394 | (15) |
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394 | (4) |
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398 | (2) |
|
14.3.3 The Risk-free Rate, IBOR, and OIS |
|
|
400 | (2) |
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402 | (1) |
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403 | (3) |
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406 | (1) |
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|
406 | (3) |
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|
409 | (56) |
|
15.1 Methods for Quantifying Exposure |
|
|
409 | (5) |
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|
409 | (1) |
|
15.1.2 Parametric Approaches |
|
|
410 | (1) |
|
15.1.3 Semianalytical Methods |
|
|
411 | (3) |
|
15.1.4 Monte Carlo Simulation |
|
|
414 | (1) |
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|
414 | (5) |
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|
414 | (1) |
|
15.2.2 Incremental and Marginal Exposure |
|
|
414 | (3) |
|
15.2.3 Impact of Dependency |
|
|
417 | (2) |
|
15.3 Monte Carlo Methodology |
|
|
419 | (11) |
|
|
419 | (2) |
|
15.3.2 Revaluation, Cash Flow Bucketing, and Scaling |
|
|
421 | (2) |
|
15.3.3 Risk-neutral or Physical Measure |
|
|
423 | (6) |
|
|
429 | (1) |
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|
430 | (9) |
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|
430 | (2) |
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|
432 | (3) |
|
|
435 | (2) |
|
15.4.4 Other Asset Classes |
|
|
437 | (1) |
|
15.4.5 Correlations, Proxies, and Extrapolation |
|
|
437 | (2) |
|
15.5 Modelling Margin (Collateral) |
|
|
439 | (9) |
|
|
439 | (2) |
|
15.5.2 Margin Period of Risk |
|
|
441 | (1) |
|
15.5.3 Modelling Approach |
|
|
442 | (3) |
|
|
445 | (3) |
|
|
448 | (17) |
|
15.6.1 Interest Rate Swap Example |
|
|
448 | (2) |
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15.6.2 Trade-level Exposures |
|
|
450 | (2) |
|
15.6.3 Portfolio Exposures |
|
|
452 | (4) |
|
|
456 | (1) |
|
15.6.5 Impact of Variation Margin |
|
|
457 | (3) |
|
15.6.6 Impact of Initial Margin |
|
|
460 | (5) |
|
|
|
16 The Starting Point and Discounting |
|
|
465 | (20) |
|
|
465 | (4) |
|
|
465 | (1) |
|
16.1.2 Perfect Collateralisation |
|
|
466 | (1) |
|
16.1.3 Collateral or OIS Discounting |
|
|
467 | (2) |
|
16.2 ColVA and Discounting |
|
|
469 | (11) |
|
16.2.1 Definition of ColVA |
|
|
469 | (1) |
|
|
470 | (3) |
|
16.2.3 Cheapest-to-deliver Optionality |
|
|
473 | (5) |
|
|
478 | (1) |
|
|
479 | (1) |
|
16.3 Beyond Perfect Collateralisation -- xVA |
|
|
480 | (5) |
|
|
480 | (2) |
|
16.3.2 Definition of xVA Terms |
|
|
482 | (3) |
|
|
485 | (44) |
|
|
485 | (1) |
|
17.2 Credit Value Adjustment |
|
|
486 | (12) |
|
17.2.1 CVA Compared to Traditional Credit Pricing |
|
|
486 | (1) |
|
17.2.2 Direct and Path-wise CVA Formulas |
|
|
487 | (5) |
|
|
492 | (1) |
|
|
493 | (1) |
|
17.2.5 Credit Spread Effects |
|
|
493 | (2) |
|
17.2.6 Loss Given Default |
|
|
495 | (3) |
|
17.3 Debt Value Adjustment |
|
|
498 | (8) |
|
17.3.1 Accounting Background |
|
|
498 | (1) |
|
17.3.2 DVA, Price, and Value |
|
|
499 | (1) |
|
17.3.3 Bilateral CVA Formula |
|
|
500 | (2) |
|
17.3.4 Close-out and Default Correlation |
|
|
502 | (1) |
|
|
503 | (3) |
|
|
506 | (4) |
|
|
506 | (3) |
|
|
509 | (1) |
|
|
510 | (4) |
|
|
510 | (1) |
|
|
511 | (1) |
|
|
512 | (1) |
|
|
513 | (1) |
|
|
514 | (15) |
|
|
514 | (2) |
|
17.6.2 Quantification of WWR in CVA |
|
|
516 | (2) |
|
17.6.3 Wrong-way Risk Models |
|
|
518 | (4) |
|
|
522 | (2) |
|
17.6.5 Credit Derivatives |
|
|
524 | (1) |
|
17.6.6 Collateralisation and WWR |
|
|
525 | (1) |
|
17.6.7 Central Clearing and WWR |
|
|
526 | (3) |
|
|
529 | (36) |
|
|
529 | (1) |
|
|
530 | (21) |
|
|
530 | (1) |
|
18.2.2 Source of Funding Costs and Benefits |
|
|
531 | (3) |
|
|
534 | (1) |
|
18.2.4 Symmetric FVA Formula |
|
|
535 | (4) |
|
18.2.5 CVA/DVA/FVA Framework |
|
|
539 | (7) |
|
|
546 | (2) |
|
18.2.7 Funding Costs and FVA Accounting |
|
|
548 | (3) |
|
|
551 | (14) |
|
|
551 | (1) |
|
|
552 | (3) |
|
|
555 | (3) |
|
|
558 | (2) |
|
18.3.5 Funding Strategies |
|
|
560 | (1) |
|
|
561 | (2) |
|
18.3.7 Funding and Wrong-way Risk |
|
|
563 | (2) |
|
|
565 | (26) |
|
|
565 | (1) |
|
19.2 Capital Value Adjustment (KVA) |
|
|
566 | (11) |
|
|
566 | (1) |
|
|
567 | (1) |
|
|
568 | (4) |
|
|
572 | (1) |
|
19.2.5 Implementation of KVA |
|
|
573 | (2) |
|
19.2.6 The Leverage Ratio |
|
|
575 | (2) |
|
|
577 | (10) |
|
19.3.1 Current Treatment of KVA by Banks |
|
|
577 | (3) |
|
19.3.2 Optimal KVA Management |
|
|
580 | (5) |
|
|
585 | (1) |
|
|
585 | (2) |
|
|
587 | (4) |
|
|
587 | (2) |
|
|
589 | (2) |
|
|
591 | (18) |
|
|
591 | (3) |
|
20.2 Initial Margin Funding Costs |
|
|
594 | (8) |
|
|
594 | (1) |
|
|
594 | (1) |
|
|
595 | (4) |
|
20.2.4 Computation Challenges |
|
|
599 | (1) |
|
20.2.5 Pricing and MVA Example |
|
|
600 | (2) |
|
|
602 | (4) |
|
20.3.1 A Need to Charge MVA? |
|
|
602 | (1) |
|
|
603 | (1) |
|
|
603 | (1) |
|
|
604 | (2) |
|
|
606 | (3) |
|
|
606 | (1) |
|
|
607 | (2) |
|
21 Actively Managing xVA and the Role of an xVA Desk |
|
|
609 | (40) |
|
21.1 The Role of an xVA Desk |
|
|
609 | (10) |
|
|
609 | (2) |
|
21.1.2 Charging Structure and Coverage |
|
|
611 | (3) |
|
|
614 | (1) |
|
21.1.4 Profit Centre or Utility? |
|
|
615 | (2) |
|
|
617 | (2) |
|
|
619 | (19) |
|
|
619 | (2) |
|
|
621 | (4) |
|
21.2.3 Gamma, Cross-gamma, Tail Risk, and Rebalancing |
|
|
625 | (2) |
|
|
627 | (2) |
|
21.2.5 Jump to Default Risk |
|
|
629 | (1) |
|
|
630 | (1) |
|
21.2.7 Risk Limits and P&L Explain |
|
|
631 | (2) |
|
|
633 | (1) |
|
|
634 | (4) |
|
21.2.10 Pushing xVA into Base Value |
|
|
638 | (1) |
|
21.3 Operation of an xVA Desk |
|
|
638 | (11) |
|
21.3.1 Interaction with a Treasury |
|
|
638 | (2) |
|
|
640 | (1) |
|
21.3.3 Systems and Quantification |
|
|
641 | (4) |
|
|
645 | (4) |
Glossary |
|
649 | (4) |
References |
|
653 | (14) |
Index |
|
667 | |