You own a portfolio equally invested in a risk free asset and two stocks. If one of the stocks has a beta of 1.57 and the total portfolio is exactly as risky as the market, what must the beta be for the other stock in your portfolio? Note: Do not round intermediate calculations. Round your answer to 2 decimal places. Beta
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- Problem 1 You are given the following information about stock X and the market portfolio, M: Riskless Asset (f) Stock X Market Portfolio (M) E(r) 0.04 (4%) ? 0.10 σ 0.00 0.30 0.20 You are not given the expected return of stock X. The correlation of the returns on the stock X and the market portfolio is equal to 0.4. a) What is the beta (6) of stock X? b) Assuming the CAPM holds, what is the expected return on stock X? c) You have $1,000 to invest in some combination of the risk-free asset, stock X, and the market portfolio. You are thinking of investing $300 in the risk free asset, $400 in stock X, and $300 in the market portfolio. What is the overall expected return, standard deviation and beta of this portfolio?2. Problem 8.02 (Portfolio Beta) еВook An individual has $45,000 invested in a stock with a beta of 0.5 and another $30,000 invested in a stock with a beta of 2.2. If these are the only investments in her portfolio, what is her portfolio's beta? Do not round intermediate calculations. Round your answer to two decimal places.Question 15 You own a portfolio that has $3,026 invested in Stock A and $4,300 invested in Stock B. Assume the expected returns on these stocks are 12 percent and 18 percent, respectively. Required: What is the expected return on the portfolio? (Do not include the percent sign (%). Round your answer to 2 decimal places (e.g., 32.16).)
- Question 29 Assume the following data for a stock: risk-free rate 5 percent: beta (market) = 1.4; beta (size) - 0.4; beta (book-to- market)-1.1; market risk premium - 13 percent; size risk premium 9.7 percent; and book-to-market risk premium = 11.2 percent. Calculate the expected return on the stock using the Fama-French three-factor model. O 26.5 percent 14.8 percent O 25.1 percent 12.0 percent3. Problem 8.05 (Beta and Required Rate of Return) еВook A stock has a required return of 13%, the risk-free rate is 4.5%, and the market risk premium is 4%. a. What is the stock's beta? Round your answer to two decimal places. b. If the market risk premium increased to 6%, what would happen to the stock's required rate of return? Assume that the risk-free rate and the beta remain unchanged. Do not round intermediate calculations. Round your answer to two decimal places. I. If the stock's beta is less than 1.0, then the change in required rate of return will be greater than the change in the market risk premium. II. If the stock's beta is greater than 1.0, then the change in required rate of return will be less than the change in the market risk premium. III. If the stock's beta is equal to 1.0, then the change in required rate of return will be greater than the change in the market risk premium. IV. If the stock's beta is equal to 1.0, then the change in required rate of return will…Problem 9-9 Consider the following table, which gives a security analyst's expected return on two stocks in two particular scenarios for the rate of return on the market: Market Return Aggressive Stock Defensive Stock 6% -4% 23 37 11 a. What are the betas of the two stocks? (Do not round intermediate calculations. Round your answers to 2 decimal places.) Beta Aggressive stock Defensive stock b. What is the expected rate of return on each stock if the two scenarios for the market return are equally likely to be 6% or 23%? (Do not round intermediate calculations. Round your answers to 1 decimal place.) Expected Rate of Return Aggressive stock % Defensive stock %
- onsider the following table, which gives a security analyst’s expected return on two stocks and the market index in two scenarios: Scenario Probability Market Return Aggressive Stock Defensive Stock 1 0.5 7% 2.2% 5.0% 2 0.5 15 25 12 Required: a. What are the betas of the two stocks? (Round your answers to 2 decimal places.) b. What is the expected rate of return on each stock? (Round your answers to 2 decimal places.)Question 11 Using the single index model, what is the alpha of a stock with beta of 1.2, a market return of 14%, risk free rate of 3% and the actual return of the stock is 1896? 1.80% O2.11% O-3.12% O 0.75% -1.37% Wwhich one is correct? QUESTION 8 Exhibit 7.2 USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM(S) You expect the risk-free rate (RFR) to be 3 percent and the market return to be 8 percent. You also have the following information about three stocks. Current Expected Expected Stock Beta Price Price Dividend X 1.25 $20 $23 $1.25 Y 1.50 $27 $29 $0.25 Z 0.90 $35 $38 $1.00 Refer to Exhibit 7.2. What are the expected (required) rates of return for the three stocks (in the order X, Y, Z)? a. 21.25 percent, 8.33 percent, 11.43 percent b. 16.50 percent, 5.50 percent, 22.00 percent c. 15.00 percent, 3.50 percent, 7.30 percent d. 6.20 percent, 2.20 percent, 8.20 percent e. 9.25 percent, 10.5 percent, 7.5 percent
- 4 Skipped Use the following data for Questions 3-5: Value 12500 17500 20000 Stock A B C Exp. Return 8.5% 9.2% 10.6% Beta 0.8 1.2 1.4 Question 4: What is the portfolio's Beta? ENTER YOUR ANSWER ROUNDED TO 2 DECIMAL PLACESQUESTION 37 You have developed the following data on three stocks: Stocks Std. Deviation Beta A 0.45 0.60 B 0.60 0.75 C 0.55 1.50 If you are a risk minimizer, you should choose Stock a well-diversified portfolio. if it is to be held in isolation and Stock if it is to be held as part of A; A O B; A C; A O A; C O C; B 3.75 po 13Question: You are an investment advisor. You currently own two stocks, A and B, with the following characteristics: Expected Return Beta X 10% 0.8 Y 16% 1.5 The current risk-free rate is 2 percent, and the expected return on the market is 12 percent. How would you change your holdings of the two stocks (i.e., for each, would you sell or buy more)? Show your calculations (and explain). Stock A: Stock B: