Compute $E[x]$ and $E[Y](2pts)$

Assume that stocks $x$ and $Y$ have a correlation coefficient $of0\mathrm{.}7.$ Use the gaussian copula $to$

compute $(6pts)$

$(a)P[x0\mathrm{.}4,0\mathrm{.}4Y0\mathrm{.}7]$

$(b)P[x=0\mathrm{.}5,Y=0\mathrm{.}8]$

$(c)E[x|Y=0\mathrm{.}3]$

Compute the VaR$(0\mathrm{.}9,1)of$ a portfolio composed $by$ the two assets. $(3pts)$

Compute the $ES(0\mathrm{.}9,1)of$ a portfolio composed $by$ the two assets. $(2pts)$