Consider a portfolio consisting of $10 million invested in the S&P 500, and $7.5 million invested in U.S. Treasury bonds. The S&P 500 has an expected return of 14 percent and a standard deviation of 16 percent.
The Treasury bonds have an expected return of 9 percent and a standard deviation of 8 percent. The correlation between the S&P 500 and the bonds is 0.35. All figures are stated on an annual basis.
a. Find the VAR for one year at a probability of 0.05. Identify and use the most appropriate method given the information you have.
b. Using the information you obtained in part a, find the VAR for one day.