Consider a portfolio consisting of two stocks with expected returns ${}_1$ and ${}_2,$ volatility ${}_1$ and

${}_2,$ and correlation $.$

Show that the minimum variance portfolio $x_{MVP}$ is given by

$x_{MVP}=\frac{{}_2^2-*{}_1*{}_2}{{}_1^2+{}_2^2-2**{}_1*{}_2}.$