a a portfolios daily changes have a standard

Question

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?