SHIELD Enterprises has an expected return of 15% and a beta of 1.5. HYDRA Industries has an expected return of 20% and a beta of 2. The risk-free rate is 6%. Does an arbitrage opportunity exist? If yes, how can an investor can take advantage of it. Give specific details about how to form the portfolio, what to buy and what to sell.
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- An analyst has modeled the stock of a company using the Fama-French three-factor model. The market return is 10%, the return on the SMB portfolio (rSMB) is 3.2%, and the return on the HML portfolio (rHML) is 4.8%. If ai = 0, bi = 1.2, ci = 20.4, and di = 1.3, what is the stock’s predicted return?You have observed the following returns over time: Assume that the risk-free rate is 6% and the market risk premium is 5%. What are the betas of Stocks X and Y? What are the required rates of return on Stocks X and Y? What is the required rate of return on a portfolio consisting of 80% of Stock X and 20% of Stock Y?Based on current dividend yields and expected capital gains, the expected rates or return on portfolios A and B are 12% and 18%, respectively. The beta of A is 0.7 while that of B is 1.6. The T-bill rate is currently 4% while the expected rate of return of the S&P500 Index is 13%. The standard deviation of portfolio A is 14% annually, while that of B is 26%, and that of the index is 15%. If you currently hold a market-index portfolio, would you chose to add either of these portfolios to your holdings?
- Based on current dividend yields and expected capital gains, the expected rates of return on portfolios A and B are 12% and 16%, respectively. The beta of A is .7, while that of B is 1.4. The T-bill rate is currently 5%, whereas the expected rate of return of the S&P 500 index is 13%. The standard deviation of portfolio A is 12% annually, that of B is 31%, and that of the S&P 500 index is 18%.a. If you currently hold a market-index portfolio, would you choose to add either of these portfolios to your holdings? Explain.b. If instead you could invest only in T-bills and one of these portfolios, which would you choose?Based on current dividend yields and expected capital gains, the expected rates or return on portfolios A and B are 12% and 18%, respectively. The beta of A is 0.7 while that of B is 1.6. The T-bill rate is currently 4% while the expected rate of return of the S&P500 Index is 13%. The standard deviation of portfolio A is 14% annually, while that of B is 26%, and that of the index is 15%. If instead you could invest only in bills and one of these porfolios, which would you choose? Use the sharpe ratio to make your desicion.Based on current dividend yields and expected capital gains, the expected rates of return on portfolios A and B are 11% and 14%, respectively. The beta of A is 0.8 while that of B is 1.5. The T-bill rate is currently 6%, while the expected rate of return of the S&P 500 Index is 12%. The standard deviation of portfolio A is 10% annually, while that of B is 31%, and that of the index is 20%. a. If you currently hold a market-index portfolio, would you choose to add either of these portfolios to your holdings? Explain.b. If instead you could invest only in bills and one of these portfolios, which would you choose?
- The Treasury bill rate is 6%, and the expected return on the market portfolio is 14%. According to the capital asset pricing model: a. What is the risk premium on the market?b. What is the required return on an investment with a beta of 1.4? c. If an investment with a beta of 0.6 offers an expected return of 8.4%, does it have a positive or negative NPV?d. If the market expects a return of 11.6% from stock X, what is its beta?UPS, a delivery services company, has a beta of 1.6, and Wal-Mart has a beta of 0.9. The risk-free rate of interest is 6% and the market risk premium is 9%. What is the expected return on a portfolio with 40% of its money in UPS and the balance in Wal-Mart?Tasman Co. has a beta of 0.9, and an expected return of 15%. Macquarie Co. has a beta of 1.2 and an expected return of 16%. Lucy plans to invest in both stocks. If risk-free rate is 2.5%, and Lucy are spreading her money equally on both stocks, what is the expected return on Lucy’s portfolio? If a portfolio of the two assets has a beta of 0.95, what are the portfolio weights? If Lucy includes one more risk-free asset into her existing portfolio in part (b), and this new portfolio has a beta of 1.3. what are the portfolio weights? How do we interpret the weight for the risk-free asset?
- The treasury bill rate is 6%, and the expected return on the market portfolio is 10%. According to the capital asset pricing model: A. What is the risk premium on the market? B. What is the required return on an investment with a beta of 1.4? C. If an investment with a beta of 0.8 offers an expected return of 9.0% does it have positive or negative NPV? D. If the market expects a return of 11.0% from stock X, what is its beta?Based on current dividend yields and expected capital gains, the expected rates of return on portfolios A and B are 11 % and 14 %, respectively. The beta of A is 0.8 % while that of B is 1.5. The T-bill is currently 6 %, while the expected rate of return of the S&P 500 index is 12 %. The standard deviation of portfolio A is 10 % annually, while that of B is 31 % , and that of the index is 20 %: If you currently hold a market index portfolio, would you choose to add either of these portfolios to your holdings? Explain. If instead you could invest only in bills and one of these portfolios, which would you choose, and why? Investor Y, who put K1 in large stocks (the S & P 500 portfolio) on December 31, 1925, and re-invested all dividends in that portfolio, would have ended on December 31, 2003, with K1992.80.The following shows beta for several companies. Calculate each stock’s expected rate ofreturn using CAPM, assuming the risk free rate is 4% and the risk premium for the marketportfolio is 7%. What is your portfolio beta if you construct an equally weighted portfolio using allstocks? What can you say about this portfolio relative to the market?Stock BetaApple 1.35Johnson & Johnson 0.69IBM 1.10