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There are two risky assets, asset d and asset e. Their returns are R_(d) and R_(e) and their variances are sigma _(d)^(2) and sigma _(e)^(2)
There are two risky assets, asset
d
and asset e. Their returns are
R_(d)
and
R_(e)
and their variances are
\\\\sigma _(d)^(2)
and
\\\\sigma _(e)^(2)
. In a portfolio of these two assets with weights
W_(d)
and
W_(e)
, what is the portfolio variance
\\\\sigma _(p)^(2)
?\
\\\\sigma _(p)^(2)=W_(d)^(2)\ \\\\sigma _(d)^(2)+W_(e)^(2)\ \\\\sigma _(e)^(2)
\
\\\\sigma _(p)^(2)\ =W_(d)^(2)\\\\sigma _(d)^(2)+W_(e)^(2)\\\\sigma _(e)^(2)\ +2W_(d)W_(e)COV(R_(d),R_(e))
\
\\\\sigma _(p)^(2)\ =W_(d)^(2)\\\\sigma _(e)^(2)+W_(e)^(2)\\\\sigma _(d)^(2)\ +2W_(d)W_(e)COV(R_(d),R_(e))
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