An investor is trying to create a MINVAR $($minimum variance$)$ portfolio based on two stocks, X and Y$.$ The annual return on stock X is $9\mathrm{.}00\%,$ and on stock Y is $-5\mathrm{.}00\%.$The standard deviation of annual return on stock X is $14\mathrm{.}00\%,$ and on stock Y is $10\mathrm{.}00\%.$The correlation coefficient between the returns on X and Y is $-0\mathrm{.}70.$

In a MINVAR portfolio,:

How much is the weight of stock Y$?$ Hint: The answer is between $0\mathrm{.}5617$ and $0\mathrm{.}6215$

How much is the weight of stock X$?$ Hint: The answer is between $0\mathrm{.}3944$ and $0\mathrm{.}4265$

How much is the annual standard deviation of the MINVAR portfolio? Hint: the answer is beterrn $0\mathrm{.}0410$ and $0\mathrm{.}0564$

How much is the annual return of the MINVAR portfolio?

Hint: The answer is between $0\mathrm{.}0021$ and $0\mathrm{.}0069$