I was wondering how we compute the covariance of $r$$x$ and $r$$m$. Here is the problem:
We know that:
For stock $X: E(r_x) = 0.21$, and $Stdev(r_x) = 0.15$.
For stock $Y: E(r_y) = 0.15$, and $Stdev(r_y) = 0.09$.
and $Corr(r_x, r_y) = 1/3$.
For market portfolio $M: E(r_m) = 0.17$, $Stdev(r_m) = 0.09$,
$W_m = W_x + W_Y = 1$, and $W_x=1/3$ and $W_y=2/3$.
How do I compute $Cov(r_x, r_m)$?
M is the market portfolio, and Wi is the weight of stock i. E(ri) is the expected return for stock i.
Thanks :)