A bank invests 13 million in a stock fund and 7 million in a bond fund. Use the following information.
The volatility of the stock fund is 35% per annum
The volatility of the bond fund is 20% per annum
The correlation between the stock fund and bond fund is -0.6
Assume that the VaR follows the normal distribution.
1. Calculate 10-day 97% VaR of the portfolio.
2. Calculate the diversification benefit.