You have $10,000 invested in a portfolio A. If you sell 70% and invest in an asset B whose return has a correlation of -0.5 with the return on portfolio. What is your overall portfolio variance then? Assume that the standard deviation of A is 7%, and that for B is 5%
Out of $10000, 7000(70%) is invested in asset B and the remaining i.e., 30% is invested in portfolio A
weight of portfolio A = wA = 0.3, standard deviation of A = σA = 7%
Weight of asset B = wB = 0.7, standard deviation of B = 5%+
Correlation between the returns of A and B = ρ = -0.5
Variance of the overall portfolio is calculated using the formula:
Variance of overall portfolio = σP2 = wA2*σA2 + wB2*σB2 + 2*ρ*wA*wB*σA*σB = 0.32*(7%)2 + 0.72*(5%)2 + 2*(-0.5)*0.3*0.7*7%*5% = 0.000441+0.001225+(-0.000735) = 0.000931
Answer -> Variance of overall portfolio = 0.000931
You have $10,000 invested in a portfolio A. If you sell 70% and invest in an asset B whose return has a correlation of -...
You have $10,000 invested in a portfolio A. If you sell 70% and invest in an asset B whose return has a correlation of -0.5 with the return on portfolio. What is your overall portfolio variance then? Assume that the standard deviation of A is 7%, and that for B is 5% _____________________%
You have $10,000 invested in a portfolio A. If you sell 70% and invest in an asset B whose return has a correlation of -0.5 with the return on portfolio. What is your overall portfolio variance then? Assume that the standard deviation of A is 7%, and that for B is 5% _____________________%
You have $10,000 invested in a portfolio A. If you sell 70% and invest in an asset B whose return has a correlation of -0.5 with the return on portfolio. What is your overall portfolio variance then? Assume that the standard deviation of A is 7%, and that for B is 5%
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