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Answer: USD 21,773 and 0.1169
Based on the available options and typical VaR calculations: **Component VaR** represents the contribution of a specific asset to the overall portfolio VaR. **Marginal VaR** measures the change in portfolio VaR for a small change in the position of a particular asset. Given the options: - Option A: Component VaR = USD 21,773, Marginal VaR = 0.1306 - Option B: Component VaR = USD 21,773, Marginal VaR = 0.1169 - Option C: Component VaR = USD 19,477, Marginal VaR = 0.1169 - Option D: Component VaR = USD 19,477, Marginal VaR = 0.1306 Without the complete dataset (portfolio weights, correlations, volatilities), I cannot perform the exact calculation. However, based on typical VaR relationships and the pattern of options, **Option B** appears to be the most consistent with standard VaR calculations where component VaR and marginal VaR values would follow a logical relationship. **Key Concepts:** - Component VaR = Weight × Marginal VaR × Portfolio VaR - Marginal VaR = ∂(Portfolio VaR)/∂(Weight) - Component VaR is typically larger than marginal VaR in absolute terms - The values in Option B (21,773 and 0.1169) show a reasonable proportional relationship
Author: LeetQuiz .
Calculate the component VaR of asset A and marginal VaR of asset B, respectively, at the 95% confidence level.
A
USD 21,773 and 0.1306
B
USD 21,773 and 0.1169
C
USD 19,477 and 0.1169
D
USD 19,477 and 0.1306
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