36. Question A senior risk manager at a financial institution is presenting to a group of junior analysts on the capital requirements for the firm’s banking book. The manager demonstrates the calculation of economic capital, at the firm’s chosen confidence level of 99.9%, for a portfolio consisting of credit assets that have the same size and similar characteristics. The manager uses the following information:
- Number of credit assets in the portfolio: 12
- Capital multiplier at the 99.9% confidence level: 7.3
- Unexpected loss of each credit asset: JPY 85 million
- Default correlation between any pair of credit assets: 0.3
What would the manager be correct to estimate as the economic capital for credit risk for this portfolio? | Financial Risk Manager Part 2 Quiz - LeetQuiz
Financial Risk Manager Part 2
Explanation:
Economic Capital (EC) is calculated as the product of the Portfolio Unexpected Loss (ULP) and the capital multiplier.
First, compute the Unexpected Loss for the portfolio:
ULP=∑i=1n∑j=1nρi,jULiULj
Given ULi=85 million for all 12 assets, ρi,i=1, and ρi,j=0.3 for i=j:
ULP=12×(85)2+12×11×0.3×(85)2ULP=85×12+39.6=85×51.6≈85×7.1833≈610.58 million JPY
Next, multiply by the capital multiplier (CM = 7.3):
EC=7.3×610.58 million≈4,457.2 million JPY=4.457 billion JPY
Thus, Option C is correct.
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Question A senior risk manager at a financial institution is presenting to a group of junior analysts on the capital requirements for the firm’s banking book. The manager demonstrates the calculation of economic capital, at the firm’s chosen confidence level of 99.9%, for a portfolio consisting of credit assets that have the same size and similar characteristics. The manager uses the following information:
Number of credit assets in the portfolio: 12
Capital multiplier at the 99.9% confidence level: 7.3
Unexpected loss of each credit asset: JPY 85 million
Default correlation between any pair of credit assets: 0.3
What would the manager be correct to estimate as the economic capital for credit risk for this portfolio?