Question: 3. Consider the following data: Name Share Price Expected Return Volatility Stock 1 10 14% 20% Stock 2 20 8% 10% Stock 3 25 10%

3. Consider the following data: Name Share Price
3. Consider the following data: Name Share Price Expected Return Volatility Stock 1 10 14% 20% Stock 2 20 8% 10% Stock 3 25 10% 15% The correlation of Stock 1 and Stock 2 is 0.3, while the correlation of Stock 1 and Stock 3 is 0.5. The covariance between Stock 2 and Stock 3 is 0.004. Assume no dividends. a. Estimate the price of Stock 2 for next year. b. What is the correlation between Stock 2 and Stock 3? c. An investor holds a retirement portfolio of $30,000 of Stock 1 and $70,000 of Stock 2. Calculate the expected return and the volatility of the portfolio. d. An investor holds a portfolio consisting of 200 shares of Stock 1 and 25 shares of Stock 2. i) Calculate the expected return and the volatility of the portfolio. ii) What is the correlation of the portfolio with Stock 3? e. Portfolio Manager 1: \"Investors would denitely prefer to hold a portfolio of only Stock 1 rather than hold a portfolio of only Stock 3 because they could obtain a higher expected return.' Evaluate. f. Portfolio Manager 2: \"No one would ever buy Stock 3. Investors could always purchase a portfolio of half Stock 1 and half Stock 2 that yields a higher expected return and a lower volatility.\" Evaluate. 5

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