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A medium-sized investment firm conducts numerous transactions and has set up netting contracts for 8 stock trade positions, with these positions having an average correlation coefficient of 0.28. As part of its risk management strategy, the firm aims to enhance the benefits derived from diversification by potentially adjusting these netting agreements. The current values of future trade positions adhere to a normal distribution. From the possible trade combinations listed below, which one would lead to the most significant improvement in the firm's expected netting benefit compared to the existing netting arrangement?
Trade Combination | Number of Positions | Average Correlation |
---|---|---|
ABC | 4 | 0.25 |
LMN | 7 | 0.15 |
PQR | 13 | -0.06 |
TUV | 15 | -0.04 |
Section: Credit Risk Measurement and Management
Explanation:
The correct answer is C, Trade combination PQR, as it would provide the most significant increase in the firm's expected netting benefit from the current level. The netting factor is calculated using the formula:
where represents the number of exposures and represents the average correlation.
For the current position with and , the netting factor is:
For Trade combination PQR with and , there is the most significant reduction in the netting factor, indicating the most increase in netting benefit:
Comparing this to the other trade combinations:
However, none of these improvements are as significant as the one provided by Trade combination PQR, making it the best choice for increasing the firm's expected netting benefit.