Difference between pages "Credit PnL" and "Portfolio Loss Allowance"

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(Created page with "== Definition == The portfolio loss allowance is the sum of individual credit asset loss allowances: :<math> \mbox{PLA}_{t,T} = \sum_{i}^{N} \left ( 1_{ \{ S_t^{i} = 1 \} }...")
 
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== Definition ==
 
== Definition ==
'''Credit PnL''' (Profit and Loss) denotes the delta in the measurement of  the value of credit assets over a given period. This value can be computed on a mark-to-market basis or an accounting basis (e.g. under IFRS 9 / CECL)
+
The portfolio loss allowance is the sum of individual credit asset loss allowances:
 
 
== IFRS 9 Notation ==
 
In the context IFRS 9 we define the "PnL" on a credit asset narrowly as the change in Loss Allowance from period to period. Hence we do not mingle changes in effective interest rate or changes in the net amount accruing interest (as required by IFRS 9 for assets migrating to Stage 3). The PnL can defined and calculate for any interval, we focus on the 1y risk horizon:
 
  
 
:<math>
 
:<math>
\Delta \mbox{LA}_{t,T_i}^{i} =  \mbox{LA}_{t,T_i}^{i} - \mbox{LA}_{1y,T_i}^{i}  
+
\mbox{PLA}_{t,T} = \sum_{i}^{N} \left (
 +
1_{ \{  S_t^{i} = 1 \} }  \mbox{ECL}^{i}_{t,12m}  
 +
+ 1_{ \{  S^{i}_t = 2 \} } \mbox{ECL}_{t,T_i}^{i}  
 +
+ 1_{ \{  S^{i}_t = 3 \} }  \mbox{EAD}_{t}^{i} \, \mbox{LGD}_{t}^{i}
 +
\right )
 
</math>
 
</math>
  
 
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[[Category:Credit Network]]
 
[[Category:Credit Network]]

Latest revision as of 20:24, 24 October 2018

Definition

The portfolio loss allowance is the sum of individual credit asset loss allowances:


\mbox{PLA}_{t,T} = \sum_{i}^{N} \left ( 
1_{ \{  S_t^{i} = 1 \} }   \mbox{ECL}^{i}_{t,12m} 
+ 1_{ \{  S^{i}_t = 2 \} }  \mbox{ECL}_{t,T_i}^{i} 
+ 1_{ \{  S^{i}_t = 3 \} }  \mbox{EAD}_{t}^{i} \,  \mbox{LGD}_{t}^{i}
\right )