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A trader at a bank holds a portfolio consisting of a $300,000 position in asset A and a $500,000 position in asset B.
a. Assume the daily volatility of asset A is 1.8% and that of asset B is 1.2%, and the the correlation between their returns is 0.2 (ie. 20%). What is the 3-day, 95% value at risk for the portfolio?
b. Calculate portfolio VAR for (a) if correlation assumes the following values:
-100%
-50%
0%
+50%
+100%
Compare porfolio VAR for +100% and -100% with the position VARs
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