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A CRO at an investment bank has asked the risk department to evaluate the bank's derivative position with a counterparty over a 3-year period. The risk department assumes that the counterparty's default probability follows a constant hazard rate process. The table below presents trade and forecast data on the CDS spread, the expected exposure, and the recovery rate of the counterparty:
| | Year 1 | Year 2 | Year 3 |
|-------------------------|--------|--------|--------|
| Expected positive exposure (AUD million) | 14 | 14 | 14 |
| CDS spread (bps) | 200 | 300 | 400 |
| Recovery rate (%) | 80 | 70 | 60 |
Additionally, the CRO has presented the risk team with the following set of assumptions to use in conducting the analysis:
The investment bank and the counterparty have signed a credit support annex to cover this exposure, which requires collateral posting of AUD 11 million.
The current risk-free rate of interest is 3% and the term structure of interest rates remains flat over the 3-year horizon.
The collateral and the expected positive exposure values remain stable as projected over the 3-year life of the contract.
The expected positive exposure and the collateral are assessed by using the same discount factors.
The probability of default of the bank is 0% per year.
Given the information and the assumptions above, what is the correct estimate of the unilateral CVA for this position?
A
AUD 0.214 million
B
AUD 0.253 million
C
AUD 0.520 million
D
AUD 0.998 million