The Chief Risk Officer (CRO) at an investment bank has tasked the risk department with assessing the bank’s derivative exposure to a counterparty over a three-year period. The risk department assumes a constant hazard rate process for the counterparty’s default probability. The table below provides trade and forecast data on the CDS spread, expected exposure, and recovery rate for 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 | The CRO has also provided the following assumptions for the analysis: - A credit support annex is in place, requiring the counterparty to post AUD 11 million in collateral to mitigate the exposure. - The risk-free interest rate is 3%, with a flat term structure over the three-year period. - Both the collateral and expected positive exposure remain constant as projected over the three-year contract duration. - The same discount factors are applied to both the expected positive exposure and the collateral. - The bank’s annual default probability is 0%. Using the provided data and assumptions, calculate the unilateral Credit Valuation Adjustment (CVA) for this derivative position. | Financial Risk Manager Part 2 Quiz - LeetQuiz