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Cheryl Springhorn, FRM, is testing the capital adequacy of two large depository institutions. She has accumulated the following information on historical returns and standard errors (which are normally distributed). Following currentregulations, she will test each bank’s VaR at a 95% confidence level. Which of the following statements best describes her findings?

BankA :【资料下载】点击下载FRM二级思维导图PDF版

Mean P/L 12%

Standard deviation P/L 10%

Default frequency 2%

Bank B:

Mean P/L 8%

Standard deviation P/L 6%

Default frequency 6%

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A) BankA’s VaR is roughly two times greater than Bank B’s VaR.

B) Bank B’s VaR is roughly two times greater than Bank A’s VaR.

C) Bank B’s VaR is less than Bank A’s VaR which is less than two times Bank B’s

VaR.

D) BankA’s VaR is less than Bank B’s VaR which is less than two times BankA’s

VaR.》》》点我咨询FRM报考详情

答案:A

解析:Using the normal distribution as a parametric estimator of VaR implies that 1.65

is the cutoff for 5% significance level (i.e., 95% confidence level).

VaR BankA: -12% + 1.65 × 10% = 4.5%

VaR Bank B: -8% + 1.65 × 6% = 1.9%

Therefore, VaR (Bank A) is roughly two times greater than VaR (Bank B).

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