The variance (risk) of an N-asset portfolio can be written as: N-1 o² = +¹ Cov 2 where o² is the average variance of stocks in the portfolio and Cov is the average covariance between each pair of stocks in the portfolio. This result suggests that a well-diversified portfolio with a sufficiently large number of stocks will have

EBK CONTEMPORARY FINANCIAL MANAGEMENT
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Chapter8: Analysis Of Risk And Return
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The variance (risk) of an N-asset portfolio can be written as:
o² = 2 + 2/11
-Cov
where o² is the average variance of stocks in the portfolio and Cov is the average
covariance between each pair of stocks in the portfolio. This result suggests that a
well-diversified portfolio with a sufficiently large number of stocks will have
O a zero total risk (variance)
a zero covariance with other assets
a zero diversifiable (nonsystematic) risk
a zero market (systematic) risk
Transcribed Image Text:The variance (risk) of an N-asset portfolio can be written as: o² = 2 + 2/11 -Cov where o² is the average variance of stocks in the portfolio and Cov is the average covariance between each pair of stocks in the portfolio. This result suggests that a well-diversified portfolio with a sufficiently large number of stocks will have O a zero total risk (variance) a zero covariance with other assets a zero diversifiable (nonsystematic) risk a zero market (systematic) risk
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