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Answer: Trade combination PQR
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: \[ \text{Netting Factor} = \frac{1}{n + n(n - 1)p} \] where \( n \) represents the number of exposures and \( p \) represents the average correlation. For the current position with \( n = 8 \) and \( p = 0.28 \), the netting factor is: \[ \text{Netting Factor} = \frac{1}{8 + 8(8 - 1) \times 0.28} = 60.83\% \] For Trade combination PQR with \( n = 13 \) and \( p = -0.06 \), there is the most significant reduction in the netting factor, indicating the most increase in netting benefit: \[ \text{Netting Factor} = \frac{1}{13 + 13(13 - 1) \times (-0.06)} = 14.68\% \] Comparing this to the other trade combinations: - Trade combination ABC with \( n = 4 \) and \( p = 0.25 \) results in a netting factor of 66.14%, indicating a deterioration in netting benefit. - Trade combination LMN with \( n = 7 \) and \( p = 0.15 \) shows a modest improvement with a netting factor of 52.10%. - Trade combination TUV with \( n = 15 \) and \( p = -0.04 \) has a reasonable increase in netting benefit with a netting factor of 17.13%. 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.
Author: LeetQuiz Editorial Team
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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
A
Trade combination ABC
B
Trade combination LMN
C
Trade combination PQR
D
Trade combination TUV
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