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## Explanation **BCVA (Bilateral CVA)** calculation requires specifying from whose perspective the calculation is being done. The question is incomplete as it doesn't specify whether we're calculating from the perspective of: - **The financial institution** - **The counterparty** **BCVA Formula:** BCVA = CVA - DVA Where: - CVA = LGD_counterparty × EPE × Spread_counterparty - DVA = LGD_institution × ENE × Spread_institution **Given data:** - Average EPE = 5% (0.05) - Average ENE = -3% (-0.03) - Counterparty credit spread = 300 bps (0.03) - Financial institution credit spread = 200 bps (0.02) Assuming LGD = 60% (typical assumption when not specified): **From financial institution's perspective:** - CVA = 0.60 × 0.05 × 0.03 = 0.0009 (0.09%) - DVA = 0.60 × (-0.03) × 0.02 = -0.00036 (-0.036%) - BCVA = 0.0009 - (-0.00036) = 0.00126 (0.126%) **From counterparty's perspective:** The roles would be reversed. Since the question is incomplete about the perspective, this highlights the importance of clearly specifying whose viewpoint the BCVA calculation is being done from.
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A risk manager needs a quick calculation of the BCVA on a swap. Assume inputs are as follows: average EPE = 5%, average ENE = -3%, counterparty credit spread = 300 bps, financial institution credit spread = 200 bps. Compute BCVA from the perspective of the
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