Question 4 (20 points)
Consider an investor with $100,000. The table below presents data of two uncorrelated stocks (the stocks have a correlation of zero) traded in the capital market:
Stock A Stock B
Expected Return 20% 12%
Standard Deviation 40% 30%
a. What is the expected return of a portfolio which holds equal proportions of stocks A and B?
Answer: Expected return of the portfolio:
b. What is the standard deviation of the portfolio?
Answer: Standard deviation of the portfolio:
c. Consider a new stock, C, that is uncorrelated with A and B, with the following expected return and standard deviation:
Expected Return 16%
Standard Deviation 35%
Is holding only stock C more attractive compared to holding an equally weighted portfolio comprised only of stocks A and B (the one you addressed in item a)? (Circle the correct answer and provide a detailed explanation)
Answer: Yes/No