A) A portfolio's daily changes have a standard deviation of $15 million. Suppose the daily changes in the portfolio's value have a first order serial correlation of 0.25. Calculate the 5-day, 95% VaR with and without the correlation adjustment.
B) An portfolio consists of options on two companies stocks, A and B. The details are as follows:
Stock A Stock B
Delta (δ) 45,000 28,000
Stock price (S) 51.25 38.55
Daily volatility (σ_{s}) 0.025 0.021
Correlation (ρ) 0.45
Please calculate the 5-day, 99% VaR for the two option positions separately and for the portfolio as a whole. How much is the diversification benefit?