In: Finance
. An investor can design a risky portfolio based on two stocks, A and B. Stock A has an
expected return of 18% and a standard deviation of return of 20%. Stock B has an expected
return of 14% and a standard deviation of return of 5%. The correlation coefficient between the
returns of A and B is 0.50. The risk free rate of return is 10%.
What is the Sharpe ratio of the optimal risky portfolio
The optimum risky portfolio means a portfolio having proportion of given stocks with their risks in such a way the risk would be optimum.
So we have to find the proportion of stock A and stock B to be formed in portfolio which would have optimum risk
The calculation done in the attached paper.
While calculating. The stock A proportion came as negative.
So the short selling concept comes here. And hence i assumed the stock A has been involved in short selling and the proceeds received is invested in stock B along with our investment.