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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 :)

Gustav
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  • What are $W_x, W_y$? What's the difference between $X$ and $r_x$? – gunes May 15 '20 at 18:23
  • Please explain what these various symbols mean and how they are all inter-related: $X, r_x,W_x,Y,W_y,r_y,M,W_m,r_m.$ – whuber May 15 '20 at 18:24
  • Hi, sorry, yes, I've just added a few notes on the variables. Hope this helps and thanks. – Gustav May 15 '20 at 18:45
  • For answers to the edited question, see https://stats.stackexchange.com/questions/184998 or https://stats.stackexchange.com/questions/38721 (among many that give correct formulas). – whuber May 15 '20 at 19:30
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    thank you @whuber, found the answer :) – Gustav May 16 '20 at 21:03

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