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

From Open Risk Manual
(Difference between pages)
(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 \} }...")
 
(Created page with "== Definition == The cumulative distribution of PnL for a credit book under IFRS 9 rules would be the sum of individual PnL changes from the current time to the risk horizon...")
 
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== Definition ==
 
== Definition ==
The portfolio loss allowance is the sum of individual credit asset loss allowances:
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The cumulative distribution of PnL for a credit book under IFRS 9 rules would be the sum of individual PnL changes from the current time to the risk horizon
 +
 
 +
In the following we assume that the risk horizon is at time point $k=H$ (usually 1yr).
  
 
:<math>
 
:<math>
\mbox{PLA}_{t,T} = \sum_{i}^{N} \left (
+
\mbox{PnL}^{P}_{H} = \sum_{i=1}^{N} \mbox{PnL}_{H}^{i} = \sum_{i=1}^{N} \Delta \mbox{LA}_{H,T_i}^{i}
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]]

Revision as of 20:26, 24 October 2018

Definition

The cumulative distribution of PnL for a credit book under IFRS 9 rules would be the sum of individual PnL changes from the current time to the risk horizon

In the following we assume that the risk horizon is at time point $k=H$ (usually 1yr).


\mbox{PnL}^{P}_{H} = \sum_{i=1}^{N} \mbox{PnL}_{H}^{i} = \sum_{i=1}^{N} \Delta \mbox{LA}_{H,T_i}^{i}