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Answer: The sensitivity of VaR to the position is dependent on the share of the position in the portfolio and the sensitivity of the overall portfolio value to the position value.
## Explanation Option A is correct because: - The sensitivity of VaR to a position depends on two key factors: 1. **The share of the position in the portfolio** - Larger positions have greater impact on portfolio VaR 2. **The sensitivity of the overall portfolio value to the position value** - This relates to how changes in the position value affect the entire portfolio - This relationship is mathematically expressed through the concept of **marginal VaR** or **component VaR**, where the contribution of each position to overall portfolio VaR depends on its weight and correlation with other positions. Option B is incorrect because: - Data scarcity can be a significant issue in sensitivity analysis - While simulations can help, they still rely on historical data or model assumptions - Real-world data limitations can affect the reliability of regression-based sensitivity tests Option C is incorrect because: - Sensitivity analysis focuses on how VaR changes with position sizes, not valuation choices - Valuation choices would be examined through different types of analysis (e.g., model validation) Option D is incorrect because: - Large trading organizations often have rapidly changing portfolio compositions - High-frequency trading and dynamic hedging strategies can cause frequent portfolio changes - This dynamic nature makes sensitivity analysis challenging and requires frequent updates
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Bruce, FRM, is testing the sensitivity of the VaR model to changes in positions. Which of the following statements is correct regarding the VaR model's sensitivity analysis?
A
The sensitivity of VaR to the position is dependent on the share of the position in the portfolio and the sensitivity of the overall portfolio value to the position value.
B
Data scarcity is negligible in conducting the sensitivity analysis, because the regression used in testing the sensitivity is based on simulated value changes of the position and portfolio.
C
The sensitivity analysis can help the financial institution to examine some choices it has made regarding the valuation of a particular position.
D
The portfolio composition of a large trading organization typically changes slowly, which does not form a challenge of performing the sensitivity analysis.