Question 4(14 marks) What is the risk premium of a zero-beta stock?Does this mean you can...
Question 4(14 marks)
- What is the risk premium of a zero-beta stock?Does this mean you can lower the volatility of a portfolio without changing the expected return by substituting out any zero-beta stock in a portfolio and replacing it with the risk-free asset? (4 marks)
- Assume all investors want to hold a portfolio that, for a given level of volatility, has the maximum possible expected return. Explain why, when a risk-free asset exists, all investors will choose to hold the same portfolio of risky stocks. (3 marks)
- Consider the following two independent projects:
|
Project |
Year 0 Cash Flow |
Year 1 Cash Flow |
Year 2 Cash Flow |
Year 3 Cash Flow |
Year 4 Cash Flow |
Discount Rate |
|
A |
90 |
40 |
-20 |
60 |
-20 |
16% |
|
B |
-80 |
40 |
40 |
30 |
30 |
16% |
Without doing any calculation, explain why the above two projects canor cannotbe evaluated using the IRR Rule. (3 marks)
- Suppose ABC and XYZ have volatilities of 25% and 50% respectively and they are perfectly negatively correlated. What portfolio of these two stocks has a zero risk? Show all your calculations. (4 marks)
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Question 4(14 marks)
What is the risk premium of a zero-beta
stock?Does this mean you can...
Question 4 (20 marks) (a) You need to invest $10M in two assets: a risk-free asset...
Question 4 (20 marks) (a) You need to invest $10M in two assets: a risk-free asset with an expected return of 5% and a risky asset with an expected return of 12% and a standard deviation of 40%. You face a cap of 30% on the portfolio's standard deviation. What is the maximum expected return you can achieve on your portfolio? (6 marks) (b) Which of the following portfolios can not be on the Markowitz efficient frontier? Explain briefly. Portfolio...
please work all parts. 2. Stock A has expected return of 14% and volatility 30%. Stock...
please work all parts.
2. Stock A has expected return of 14% and volatility 30%. Stock B has expected return of 8% and volatility 19%. The correlation between two stocks is -0.2. The risk free interest rate is 4% (a) Find the expected returns, volatilities, and Sharpe ratios of portfolios that maintain 100.0% investment in Stock A and 100(1-x)% in Stock B, where x is given in the following table. Volatility Expected return Sharpe ratio 0.8 0.9 1.0 (b) How...
The investment universe consists of: a risk-free T-bill with annual yield of r = 3%; shares...
The investment universe consists of: a risk-free T-bill with
annual yield of r = 3%; shares of common stock of company 1, with
expected return of 1 = 9% and volatility of 1 = 16% shares of
common stock of company 2, with expected return of 2 = 14% and
volatility of 2 = 23%.
Portfolio selection and CAPM The investment universe consists of: . a risk-free T-bill with annual yield of r = 3%; . shares of common stock...
The investment universe consists of: a risk-free T-bill with annual yield of r = 3%; shares...
The investment universe consists of: a risk-free T-bill with
annual yield of r = 3%; shares of common stock of company 1, with
expected return of 1 = 9% and volatility of 1 = 16% shares of
common stock of company 2, with expected return of 2 = 14% and
volatility of 2 = 23%.
Portfolio selection and CAPM The investment universe consists of: . a risk-free T-bill with annual yield of r = 3%; . shares of common stock...
ABC Company's stock has a beta of 1.95, the risk-free rate is 2.25%, and the market risk premium is 6.75%. What is A...
ABC Company's stock has a beta of 1.95, the risk-free rate is 2.25%, and the market risk premium is 6.75%. What is ABC's required rate of return using CAPM? Enter your answer rounded to two decimal places. Do not enter % in the answer box. For example, if your answer is 0.12345 or 12.345% then enter as 12.35 in the answer box. Ripken Iron Works believes the following probability distribution exists for its stock. What is the standard deviation of...
Suppose Intel’s stock has an expected return of 26% and a volatility of 50%, while Coca-Cola’s...
Suppose Intel’s stock has an expected return of 26% and a volatility of 50%, while Coca-Cola’s has an expected return of 6% and volatility of 25%. If these two stocks were perfectly negatively correlated (i.e., their correlation coefficient is −1), a. Calculate the portfolio weights that remove all risk. b. If there are no arbitrage opportunities, what is the risk-free rate of interest in this economy? a. If the two stocks are perfectly correlated negatively, they fluctuate due to the...
2. Please comment the following statement (30 marks) 1) The expected return of zero beta security...
2. Please comment the following statement (30 marks) 1) The expected return of zero beta security is smaller than risk free rate. (5 marks) 2) According to CAPM, the higher the variance, the higher the expected return. (5 marks) 3) As diversification increases, the systematic risk of a portfolio approaches zero. (5 marks) 4) Analysts may use regression analysis to estimate the index model for a stock. When doing so, the slope of the regression line is an estimate of...
The beta for the market portfolio is closest to (please show work) Suppose that all stocks...
The beta for the market portfolio is closest to (please show work) Suppose that all stocks can be grouped into two mutually exclusive portfolios (with each stock appearing in only one portfolio): growth stocks and value stocks. Expected Return Beta Value Stocks 0.12 0.8 Growth Stocks 0.15 0.9 The risk-free rate is 3.5%. 9) The beta for the market portfolio is closest to: A) 0.0 B) 1.0 C) Unable to answer this question without knowing the markets expected return D)...
A stock has a beta of 1.0 and an expected return of 14 percent. A risk-free...
A stock has a beta of 1.0 and an expected return of 14 percent. A risk-free asset currently earns 4.5 percent. a. What Is the expected return on a portfollo that Is equally Invested In the two assets? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.) Answer is complete and correct. Expected 9.25 return b. If a portfolio of the two assets has a beta of 0.85, what are the portfolo weights?...
please answer 6. Calculating a beta coefficient for a single stock Aa Aa Suppose that the...
please answer
6. Calculating a beta coefficient for a single stock Aa Aa Suppose that the standard deviation of returns for a single stock A is σΑ-30%, and the standard deviation of the market return is 얘-10%. If the correlation between stock A and the market is ρΑΜ-0.3, then the stock's beta is Is it reasonable to expect that the volatility of the market portfolio's future expected returns will be greater than the volatility of stock A's returns? O Yes...
Question 4 (20 marks) (a) You need to invest $10M in two assets: a risk-free asset with an expected return of 5% and a risky asset with an expected return of 12% and a standard deviation of 40%. You face a cap of 30% on the portfolio's standard deviation. What is the maximum expected return you can achieve on your portfolio? (6 marks) (b) Which of the following portfolios can not be on the Markowitz efficient frontier? Explain briefly. Portfolio...
please work all parts.
2. Stock A has expected return of 14% and volatility 30%. Stock B has expected return of 8% and volatility 19%. The correlation between two stocks is -0.2. The risk free interest rate is 4% (a) Find the expected returns, volatilities, and Sharpe ratios of portfolios that maintain 100.0% investment in Stock A and 100(1-x)% in Stock B, where x is given in the following table. Volatility Expected return Sharpe ratio 0.8 0.9 1.0 (b) How...
The investment universe consists of: a risk-free T-bill with
annual yield of r = 3%; shares of common stock of company 1, with
expected return of 1 = 9% and volatility of 1 = 16% shares of
common stock of company 2, with expected return of 2 = 14% and
volatility of 2 = 23%.
Portfolio selection and CAPM The investment universe consists of: . a risk-free T-bill with annual yield of r = 3%; . shares of common stock...
The investment universe consists of: a risk-free T-bill with
annual yield of r = 3%; shares of common stock of company 1, with
expected return of 1 = 9% and volatility of 1 = 16% shares of
common stock of company 2, with expected return of 2 = 14% and
volatility of 2 = 23%.
Portfolio selection and CAPM The investment universe consists of: . a risk-free T-bill with annual yield of r = 3%; . shares of common stock...
2. Please comment the following statement (30 marks) 1) The expected return of zero beta security is smaller than risk free rate. (5 marks) 2) According to CAPM, the higher the variance, the higher the expected return. (5 marks) 3) As diversification increases, the systematic risk of a portfolio approaches zero. (5 marks) 4) Analysts may use regression analysis to estimate the index model for a stock. When doing so, the slope of the regression line is an estimate of...
A stock has a beta of 1.0 and an expected return of 14 percent. A risk-free asset currently earns 4.5 percent. a. What Is the expected return on a portfollo that Is equally Invested In the two assets? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.) Answer is complete and correct. Expected 9.25 return b. If a portfolio of the two assets has a beta of 0.85, what are the portfolo weights?...
please answer
6. Calculating a beta coefficient for a single stock Aa Aa Suppose that the standard deviation of returns for a single stock A is σΑ-30%, and the standard deviation of the market return is 얘-10%. If the correlation between stock A and the market is ρΑΜ-0.3, then the stock's beta is Is it reasonable to expect that the volatility of the market portfolio's future expected returns will be greater than the volatility of stock A's returns? O Yes...
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