and an interest ra is expected to grow by 4.5 percent and the interest rate is expected to be ercent. A stock has a beta of 2.2 on the percentage change in GNP and a beta of — n the interest rate. If the expected rate of return on the stock is 13 percent, what is th evised expected return on the stock if GNP actually grows by 4.1 percent and th nterest rate is 4.3 percent? (Do not round intermediate calculations and enter you nswer as a percent rounded to 2 decimal places, e.g., 32.16.) Revised expected return %
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- Question 16 a. Based on the following information, calculate the expected return and standard deviation for each of the following stocks. What are the covariance and correlation between the returns of the two stocks? Calculate the portfolio return and portfolio standard deviation if you invest equally in each asset. Returns State of Economy Prob J K Recession 0.25 -0.02 0.034 Normal 0.6 0.138 0.062 Boom 0.15 0.218 0.092 b. A portfolio that combines the risk-free asset and the market portfolio has an expected return of 7 percent and a standard deviation of 10 percent. The risk-free rate is 4 percent, and the Page 7 of 33 expected return on the market portfolio is 12 percent. Assume the capital asset pricing model holds. What expected rate of return would a security earn if it had a .45 correlation with the market portfolio and a standard deviation of 55 percent? c. Suppose the risk-free rate is 4.2 percent and the market portfolio has an expected return of 10.9 percent. The market…12.1 Factor Models A researcher has determined that a two-factor model is appropriate to determine the return on a stock. The factors are the percentage change in GNP and an interest rate. GNP is expected to grow by 3.5 percent and the interest rate is expected to be 2.9 percent. A stock has a beta of 1.3 on the percentage change in GNP and a beta of −.47 on the interest rate. If the expected rate of return on the stock is 10.2 percent, what is the revised expected return on the stock if GNP actually grows by 3.2 percent and the interest rate is 2.7 percent?Problem 8.13 (CAPM, Portfolio Risk, and Return) Consider the following information for stucks A, B, and C. The returns on the three stocks positively correlated, but they are not perfectly correlated. That is, each of the correlation Coefficients is between 0 and 1₁) ame Stock Expected Return Stendanction Beta A 6.25% 15% 0.7 B 7.50 15 8.50 15 C 112 1.6 Find P has one-third of its funds invested of each of the three stocks. The risk-free rate is 4.5%, and the market is in equilibrium. (That is required returns equal expected returns) a) What is the market risk premium (YM-XRF)? 5) What is the beta of Fund P? c) What is the required return of Fund P?
- Question 4 Analyzing the stock market produces the following information about the returns of two stocks: Expected Return Standard Deviation Stock 1 -15% 11% Stock 2 -20% 21% Assume that the returns are positively correlated, with correlation = 0.60. (0) Find the mean and standard deviation of the return on a portfolio consisting of an equal investment in each of the two stocks. Suppose that you wish to invest $1 million. Discuss whether you should invest your money in stock 1, stock 2, or a portfolio composed of an equal amount of both stocks.Chapter 6, Problem 14: Assume the data for two stocks, X and Y, are given below. Could the equilibrium risk free rate of return be greater than 10%? Why or why not? Assume the returns on investments in the two stocks are perfectly negatively correlated. Stock A B Expected Return 8% 13% Standard Deviation 40% 60%Question 3 The following shows the expected percentage returns on three stocks over the next six years: Based on the pic attached, i. Find the expected return for each of the stock. ii. Compute the variance and standard deviation for stock A, B and C. Show your working. iii. Justify how can you minimize the risk of the above combination of stocks.
- Question 3 Assume that the CAPM holds. Assume also that the expected return on the market portfolio is 10%. If a stock with a beta of 2 has an expected return of 15% in this economy, what is the expected return on a stock with a beta of 0.5?Suppose that you observe the following information in Table 2 for stocks A and B: Table 2 Expected Return (%) 11% Stock Beta A 0.8 B 14% 1.5 The risk-free rate of return is 6% and the expected rate of return on the market index is 12%. Using the Single-Index Model, calculate the alpha of both stocks. Show your calculations. Explain what the alpha of the single-factor model represents and interpret your results.QUESTION 9 Two investment advisers are comparing performance. Adviser A averaged a 20% retum with a portfolio beta of 1.5, and adviser B averaged a 15% return with a portfolio beta of 1.2. If the T-bill rate was 5% and the market retum during the period was 13%, which adviser was the better stock picker? OA Advisor B was better because he generated a larger alpha. OB Advisor A was better because he generated a higher return. OC Advisor A was better because he generated a larger alpha. OD. Advisor 8 was better because he achieved a good return with a lower beta
- Please show working Please answer ALL OF QUESTIONS 1 AND 2 1. Assume that the risk-free rate is 3.5% and the market risk premium is 8%. a. What is the required return for the overall stock market? Round your answer to two decimal places. __________ % b. What is the required rate of return on a stock with a beta of 2.4? Round your answer to two decimal places. __________ % 2. An individual has $50,000 invested in a stock with a beta of 0.8 and another $55,000 invested in a stock with a beta of 2.0. If these are the only two investments in her portfolio, what is her portfolio's beta? Do not round intermediate calculations. Round your answer to two decimal places._______Subject: Financial strategy & policy 8-3: REQUIRED RATE OF RETURN Assume that the risk-free rate is 6% and the expected return on the market is 13%. What is the required rate of return on a stock with a beta of 0.7? 8-4: EXPECTED AND REQUIRED RATES OF RETURN Assume that the risk-free rate is 5% and the market risk premium is 6%. What is the expected return for the overall stock market? What is the required rate of return on a stock with a beta of 1.2?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 %