
Explanation:
The Bilateral Credit Value Adjustment (BCVA) accounts for both the counterparty's credit risk (CVA) and the firm's own credit risk (DVA). It is typically expressed as an adjustment to the risk-free value of the derivative:
Where:
Given:
Calculations:
The BCVA adjustment to the swap's value is -19.122 bps.
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Q.66 Raul Gaucho Trading is a trading firm from Brazil that needs to have a very quick idea on a swap’s Bilateral Credit Value Adjustment (BCVA). The firm discovered that the expected positive exposure (EPE) for a trade of this type is 13.6% with an expected negative exposure of -0.09. The counterparty credit spread is found to be around 267 bps and the credit spread of the trader’s own institution is 191 basis points per annum. Which of the following is nearest to an estimate of the BCVA?
A
-32.268 bps
B
-19.122 bps
C
-21.338 bps
D
-53.502 bps
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