
Explanation:
The daily delta-normal VaR is calculated as , where is the expected return on the portfolio, is the z-value corresponding to the desired level of significance, and is the standard deviation. Annual VaR = . In order to convert annual VaR to daily VaR, we need to scale the standard deviation by the square root of time and the mean by 250 trading days. VaR = .
(Book 4, Module 47.1, LO 47.c)
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Question 18
A portfolio manager of an endowment wants to calculate a daily VaR for the portfolio. The €10,000,000 portfolio is restricted from using derivative securities. The annual return is expected to be 10%, with a standard deviation of 15%. If the manager assumes there are 250 trading days in a year and uses a 1% level of significance, which of the following amounts is closest to the daily VaR using the delta-normal method?
A
–€217,043.
B
–€221,350.
C
–€241,100.
D
–€245,100.
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