
Explanation:
B is correct. Let p denote Bank Gamma as the party (as the party making the calculation), and c denote Bank Phi as counterparty. Also, note that the BCVA = CVA + DVA
So,
CVAₚ = – LGD꜀ * EPEₚ * PD꜀ * (1 – PDₚ)
= – (0.08 * 60,000,000 * 0.018 * 0.975) = CNY -84,240
DVAₚ = – LGDₚ * ENE꜀ * PDₚ * (1 – PD꜀)
= – (0.18 * -45,000,000 * 0.025 * 0.982) = CNY 198,855
Therefore,
BCVA = CVA + DVA = CNY -84,240 + CNY 198,855 = CNY 114,615
Why other options are incorrect:
Key Formulas:
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A senior risk manager at Bank Gamma is presenting to a group of newly hired junior risk analysts on calculating bilateral CVA (BCVA). To illustrate the calculations, the manager assumes that Bank Gamma and Bank Phi are the only counterparties to each other and provides the following information about Bank Gamma:
Additional information on the two banks is shown below:
| Parameter | Bank Gamma | Bank Phi |
|---|---|---|
| Annual probability of default | 2.5% | 1.8% |
| Recovery rate | 82% | 92% |
What is the BCVA from Bank Gamma's perspective?
A
CNY 84,240
B
CNY 114,615
C
CNY 198,855
D
CNY 201,960