Assume you have a portfolio consisting of a $400,000 investment in stock A and a $600,000 investment in stock B. Suppose that the daily volatilities of these two assets are 2% and 1.5%, respectively, and that the coefficient of correlation between their returns is 0.7.

(a) What is the 5-day 97.5% Value at risk (VaR) for the portfolio? [6 marks]

(b) Briefly explain the meaning of the VaR you just calculated. [2 marks]

(c) By how much does diversification reduce the VaR? [3 marks]