Form a portfolio of four securities. The securities can be stocks, bonds or market indices.  Suppose that the portfolio has (in $000s) 3,000 in A security, 3,000 in B security, 2,000 in C  security, and 2,000 in D security. Use 1001 days of historical data on the adjusted closing prices of the four securities.
1. Calculate a one-day $VaR for your portfolio with 99% confidence level using Equally  Weighted Historical Simulation method. Show your work. 
2. Calculate a one-day $VaR for your portfolio with 99% confidence level using Filtered Historical Simulation method. Show your work.
3. Briefly summarize your VaR estimates and interpret the resulting one-day $VaR estimate for  each of the two forecast methods. Which method do you prefer and explain why.