
Explanation:
D is correct. Let p denote the financial institution (FI) as the party making the calculation, and c denote the FI's counterparty.
The unilateral (direct) CVA from the perspective of the FI is derived as follows (ignoring the possibility of default of the FI):
Also, note that the BCVA = CVA + DVA
For FI, LGD = 1 − RR = 1 − 0.75 = 0.25; For counterparty, LGD = 1 − 0.90 = 0.10.
Thus,
Therefore,
Change from UCVA to BCVA = 320,436 − (−72,000) = AUD 392,436.
Ultimate access to all questions.
The manager reports that the discounted expected positive exposure of the financial institution to the counterparty is AUD 48 million for the coming year and is the same amount as the discounted expected positive exposure of the counterparty to the financial institution over the same period. Additional information on the two entities for the coming year is shown below:
| Financial Institution | Counterparty | |
|---|---|---|
| Annual probability of default | 3.3% | 1.5% |
| Expected recovery rate | 75% | 90% |
From the perspective of the financial institution, approximately what is the change in the charge if the analyst derives the BCVA instead of the UCVA?
A
AUD 141,600
B
AUD 320,400
C
AUD 390,100
D
AUD 392,400
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