RDP 2013-12: Central Counterparty Links and Clearing System Exposures Equation

Y U = ( σ 1 + σ 2 ) N N 1 2 π Y L = ( σ 1 + σ 2 ) N N 1 2 π + ( N 1 + N 2 ) ( N 1 ) ( σ 1 2 + σ 2 2 + 2 ρ σ 1 σ 2 ) 2 π + 2 N ( N 1 σ 2 2 + N 2 σ 1 2 ) + N 1 N 2 ( σ 1 2 + σ 2 2 + 2 ρ σ 1 σ 2 ) 2 π MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGceaqabeaacaWGzb WaaSbaaSqaaiaadwfaaeqaaOGaeyypa0ZaaeWaaeaacqaHdpWCdaWg aaWcbaGaaGymaaqabaGccqGHRaWkcqaHdpWCdaWgaaWcbaGaaGOmaa qabaaakiaawIcacaGLPaaadaWcaaqaaiaad6eadaGcaaqaaiaad6ea cqGHsislcaaIXaaaleqaaaGcbaWaaOaaaeaacaaIYaGaeqiWdahale qaaaaaaOqaaiaadMfadaWgaaWcbaGaamitaaqabaGccqGH9aqpdaqa daqaaiabeo8aZnaaBaaaleaacaaIXaaabeaakiabgUcaRiabeo8aZn aaBaaaleaacaaIYaaabeaaaOGaayjkaiaawMcaamaalaaabaGaamOt aGGaaiab=jdiIoaakaaabaGaamOtaiabgkHiTiaaigdaaSqabaaake aadaGcaaqaaiaaikdacqaHapaCaSqabaaaaOGaey4kaSYaaeWaaeaa caWGobWaaSbaaSqaaiaaigdaaeqaaOGaey4kaSIaamOtamaaBaaale aacaaIYaaabeaaaOGaayjkaiaawMcaamaalaaabaWaaOaaaeaadaqa daqaaiaad6eacqGHsislcaaIXaaacaGLOaGaayzkaaWaaeWaaeaacq aHdpWCdaqhaaWcbaGaaGymaaqaaiaaikdaaaGccqGHRaWkcqaHdpWC daqhaaWcbaGaaGOmaaqaaiaaikdaaaGccqGHRaWkcaaIYaGaeqyWdi Naeq4Wdm3aaSbaaSqaaiaaigdaaeqaaOGaeq4Wdm3aaSbaaSqaaiaa ikdaaeqaaaGccaGLOaGaayzkaaaaleqaaaGcbaWaaOaaaeaacaaIYa GaeqiWdahaleqaaaaaaOqaaiabgUcaRiaaikdadaWcaaqaamaakaaa baGaamOtaiab=jdiIoaabmaabaGaamOtamaaBaaaleaacaaIXaaabe aakiabeo8aZnaaDaaaleaacaaIYaaabaGaaGOmaaaakiabgUcaRiaa d6eadaWgaaWcbaGaaGOmaaqabaGccqaHdpWCdaqhaaWcbaGaaGymaa qaaiaaikdaaaaakiaawIcacaGLPaaacqGHRaWkcaWGobWaaSbaaSqa aiaaigdaaeqaaOGaamOtamaaBaaaleaacaaIYaaabeaakmaabmaaba Gaeq4Wdm3aa0baaSqaaiaaigdaaeaacaaIYaaaaOGaey4kaSIaeq4W dm3aa0baaSqaaiaaikdaaeaacaaIYaaaaOGaey4kaSIaaGOmaiabeg 8aYjabeo8aZnaaBaaaleaacaaIXaaabeaakiabeo8aZnaaBaaaleaa caaIYaaabeaaaOGaayjkaiaawMcaaaWcbeaaaOqaamaakaaabaGaaG Omaiabec8aWbWcbeaaaaaaaaa@A316@