
Explanation:
To find the delta-normal Value at Risk (VaR) for an options position:
First, calculate the Daily Volatility:
(or $1.8898%$)
Next, find the standard normal Z-score for a 1% significance level, which is approximately $2.33$.
Calculate the total position Delta in terms of shares:
Finally, calculate the Daily VaR at the 1% level:
The daily VaR is approximately USD 19,815.
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Q.24 An investment bank decided to open a position in the shares of ALNY’s stock. The position will be opened by buying 5,000 out-of-the-money call options with a strike price of USD 350. At the moment, the stock is trading at USD 300. The annual volatility of the stock’s return is 30%, and the delta of the option is 0.3. What is the daily VaR for this position at a 1% significance level, assuming 252 trading days in a year?
A
USD 16,668
B
USD 19,815
C
USD 23,116
D
USD 16,282
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