Question: You are running a hedge fund with a long position of 4,000 shares of IBM, and a short position of 5,000 shares of Intel. IBM is currently trading at $270 per share, and Intel is trading at $10 per share. Over the past year, the volatility of IBM's stock was 8% per day, the volatility of Intel's stock was 8% per day, and the correlation between the two company stocks was 0.7. Suppose your hedge fund's capital equals the value of its current positions. What is the delta-normal VAR with a 1-day holding period and 99% confidence for your portfolio?
When the portfolio is a combination of a long and a short position, the correlation coefficient between the two should be multiplied by -1.