Question

The risk reduction through diversification in a portfolio of two stocks: A. (Both statements are correct.)...

The risk reduction through diversification in a portfolio of two stocks:

A. (Both statements are correct.)

B. (Not enough information.)

C. increases as the correlation between the stocks declines.

D. decreases as the correlation between the stocks rises.

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Answer #1

The variance of a portfolio of two stocks is given by:

Portfolio variance = WA2*σA2 + WB2*σB2 + 2*ρ*WA*WB*σA*σB

where ρ is the correlation between the two stocks

We can say that as the correlation between the stocks declines, the variance (risk) of the portfolio will decrease i.e., the risk reduction increases

Also, as the correlation (ρ) between the stocks rises, the variance(risk) of the portfolio will increase or the risk reduction will be lower

Answer -> Both statements are correct (Option A)

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