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Financial Risk Manager Part 2

Financial Risk Manager Part 2

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  1. Revised Question An investment bank's Chief Risk Officer (CRO) has tasked the risk department with evaluating the bank's derivative exposure to a counterparty over a 3-year period. The risk department assumes the counterparty's default probability follows a constant hazard rate process. The table below outlines trade and projected data on the Credit Default Swap (CDS) spread, the expected positive exposure, and the recovery rate of the counterparty:
YearExpected Positive Exposure (AUD million)CDS Spread (bps)Recovery Rate (%)
Year11420080
Year21430070
Year31440060

Additionally, the CRO has provided the risk team with the following assumptions for the analysis:

  • The investment bank and the counterparty have established a credit support annex to mitigate exposure, requiring collateral posting of AUD 11 million.
  • The prevailing risk-free interest rate is 3%, and the term structure of interest rates remains stable over the 3-year period.
  • Both the collateral and the expected positive exposure values remain constant as projected over the 3-year term of the contract.
  • Identical discount factors are used for evaluating the expected positive exposure and the collateral.
  • The bank’s default probability is 0% per year.

Given the information and assumptions above, what is the precise calculation of the unilateral CVA (Credit Valuation Adjustment) for this position?

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