Calculate the VAR for the following situations:

Use the analytical method and determine the VAR at a probability of $0\mathrm{.}05$ for a portfolio in which the standard deviation of annual returns is $$2\mathrm{.}5$ million. Assume an expected return of $$0\mathrm{.}0.$

Use the historical method and the following information for the last $120$ days of returns to calculate an approximate VAR for a portfolio of $$20$ million using a probability of $0\mathrm{.}05$:

Less than $10\%5$

$10\%$ to $5\%18$

$5\%$ to $0\%42$

$0\%$ to $5\%36$

$5\%$ to $10\%15$

Greater than $10\%4$