
Explanation:
To calculate the 1-day 95% normal VaR (assuming a normal distribution for arithmetic returns):
$0.16 / 252 = 0.000635$2. Convert the annualized arithmetic standard deviation to a daily standard deviation: $0.27 / \sqrt{252} = 0.017008$3. Calculate the normal VaR return using the 95% confidence level ():
To calculate the 1-day 95% lognormal VaR (assuming a normal distribution for geometric returns):
$0.13 / 252 = 0.000516$2. Convert the annualized geometric standard deviation to a daily standard deviation: $0.29 / \sqrt{252} = 0.018268$3. Calculate the lognormal VaR return using the 95% confidence level ():
Therefore, the correct statement is C.
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Assuming both daily arithmetic returns and daily geometric returns are serially independent, which of the following statements is correct?
A
The 1-day 95% normal VaR is 1.63% and the 1-day 95% lognormal VaR is 1.76%.
B
The 1-day 95% normal VaR is 2.69% and the 1-day 95% lognormal VaR is 2.88%.
C
The 1-day 95% normal VaR is 2.74% and the 1-day 95% lognormal VaR is 2.92%.
D
The 1-day 95% normal VaR is 3.26% and the 1-day 95% lognormal VaR is 3.48%.