Question: Consider the following three assets: Asset As expected return is 5% and return standard deviation is 25%. Asset Bs expected return is 8% and return
Consider the following three assets:
Asset As expected return is 5% and return standard deviation is 25%.
Asset Bs expected return is 8% and return standard deviation is 32%.
Asset C is a risk-free asset with 2% return.
The correlation between assets A and B is 0.3.
A) Constructing a portfolio from assets A and B such that the expected return of the portfolio equals 3%, find the portfolio weights of assets A and B and compute the return standard deviation of the portfolio.
(a) weight = 5/3, Std(rp) = 0.48
(b) weight = 5/3, Std(rp) = 0.20
(c) weight = 8/3, Std(rp) = 0.04
(d) weight = 8/3, Std(rp) = 0.66
B). Constructing a portfolio from assets A and C such that the expected return of the portfolio equals 10%, find the portfolio weights of assets A and C and compute the return standard deviation of the portfolio.
(a) weight = 1/3, Std(rp) = 0.48 (b) weight = 1/3, Std(rp) = 0.20 (c) weight = 8/3, Std(rp) = 0.04 (d) weight = 8/3, Std(rp) = 0.67
Thank you!
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