Your optimal risky portfolio formed with the two stocks above (A and B) has an expected return of 19% and a standard derivation of 32%. The risk-free rate is 4% and you have a risk-aversion parameter of 3.
What is the proportion of your investment in A, B and the risk-free asset, respectively, in your final portfolio?
Using the following equation,
Weight in risky asset=
Where E(rp) = Expected Return on Risky Portfolio i.e. 19%
Rf = Risk free Rate i.e. 4%
A = Risk Aversion i.e. 3
SD = Standard Deviation i.e. 0.32
Weight in risky asset= = 48.8%
Weight in risk free asset = 100% - 48.8% = 51.2%
Investor should place 48.8% in risky asset and 51.2% in risk free asset
Since the expected return of portfolio A and B not given, assuming weight to be 50% in A and 50% in B.
Thus, complete portfolio should have 48.8/2 = 24.4% weight in A, 24.4% weight in B and 51.2% weight in risk free asset.
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