1. You are running a hedge fund with a long position of 4,000 shares of IBM, and a short position of 9,000 shares of Intel. IBM is currently trading at $150 per share, and Intel is trading at $20 per share. Over the past year, the volatility of IBM's stock was 4% 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?
2. A DI has $5 million in T-bills, a $1 million line of credit to borrow in the repo market, and $4 million in excess cash reserves (above reserve requirements) with the Fed. The DI currently has borrowed $5 million in fed funds and $2 million from the Fed discount window to meet seasonal demands. What is the DI's net liquidity?