Required: What is the expected return-beta relationship in this economy? (Do not round Intermediate calculations. Round your answers to 2 decimal places.)
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- Consider an economy with just two assets. The details of these are given below. Number of Shares Price Expected Return Standard Deviation A 100 1.5 15 15 B 150 2 12 9 The correlation coefficient between the returns on the two assets is 1=3 and there is also a risk-free asset. Assume the CAPM model is satisfied. (1) What is the expected rate of return on the market portfolio? (2) What is the standard deviation of the market portfolio? (3) What is the beta of stock A? (4) What is the risk-free rate of return?Assume that both portfolios A and B are well diversified, that E(rA) = 22%, and E(rB) = 17%. If the economy has only one factor, and βA = 1.5, whereas βB = 1.1, what must be the risk-free rate? (Do not round intermediate calculations. Round your answer to two decimal places.)Suppose there are two independent economic factors, M₁ and M₂. The risk-free rate is 6%, and all stocks have independent firm- specific components with a standard deviation of 46%. Portfolios A and B are both well diversified. Portfolio A Beta on M₁ 1.5 2.0 Beta on My 2.1 -0.6 Required: What is the expected return-beta relationship in this economy? (Do not round intermediate calculations. Round your answers to 2 decimal places.) Expected return-beta relationship E(rp) = Expected Return (%) 36 14 45 60 Answer is not complete. Bp1 Bp2
- Suppose there are two independent economic factors, M1 and M2. The risk-free rate is 4%, and all stocks have independent firm-specific components with a standard deviation of 49%. Portfolios A and B are both well diversified. Portfolio Beta on M1 Beta on M2 Expected Return (%) A 1.6 2.4 39 B 2.3 -0.7 9 Required: What is the expected return–beta relationship in this economy?Suppose there are two independent economic factors, M₁ and M2. The risk-free rate is 7%, and all stocks have independent firm- specific components with a standard deviation of 43%. Portfolios A and B are both well diversified. Portfolio A B Beta on M1 1.5 2.4 Beta on M2 2.5 -0.5 Expected Return (%) 33 11 Required: What is the expected return-beta relationship in this economy? (Do not round intermediate calculations. Round your answers to 2 decimal places.) Expected return-beta relationship E(rp) = 7.00 % + BP1 + BP2Suppose that there are two independent economic factors, F₁ and F₂. The risk-free rate is 6%, and all stocks have independent firm- specific components with a standard deviation of 45%. The following are well-diversified portfolios: Portfolio Beta on F1 A B E(rp) 1.5 2.2 = What is the expected return-beta relationship in this economy? (Do not round intermediate calculations.) Beta on F2 2.0 -0.2 % + (Bp1 x Expected Return 31% 27% %) + (Bp2 x
- Assume that both portfolios A and B are well diversified, that E(rA) = 16%, and E(rB) = 14%. If the economy has only one factor, and βA = 1.0, whereas βB = 0.8, what must be the risk-free rate? (Do not round intermediate calculations.)Suppose there are two independent economic factors, M1 and M2. The risk-free rate is 5%, and all stocks have independent firm-specific components with a standard deviation of 40%. Portfolios A and B are both well diversified. Portfolio Beta on M1 Beta on M2 Expected Return (%) A 1.8 2.2 30 B 2.1 -0.5 8 Required: What is the expected return–beta relationship in this economy? (Do not round intermediate calculations. Round your answers to 2 decimal places.)Consider the following data for a one-factor economy. All portfolios are assumed to be well diversified. Portfolio. A. F Expected return 12% 6% Beta. 1.2 0.0 Suppose that another portfolio, portfolio E, is well diversified with a beta of 0.6 and expected return of 8%. Would an arbitrage opportunity exist? If so, what would be the arbitrage strategy? (Note: show what the percentage profit from arbitrage will be)
- Consider an economy where Capital Asset Pricing Model holds. In this economy, stocks A and B have the following characteristics: • Stock A has and expected return of 22% and a beta of 2. • Stock B has an expected return of 15% and a beta of 0.8. The standard deviation of the market portfolio’s return is 18%. (a) Assuming that stocks A and B are correctly priced according to the CAPM, compute the risk-free rate and the market risk premium. (b) Draw the security market line, showing the positions of stocks A and B, as well as the risk-free rate and the market portfolio on the plot. You are not required to draw the security market line to scale. (c) Consider stock C that has an expected return of 30%, a beta of 2.3, and a standard deviation of returns of 20%. According to the CAPM, calculated in part (a) above, is stock C overpriced, underpriced, or correctly priced? What would you recommend to investors? (d) Briefly explain the definition of market portfolio in a CAPM economySuppose there are two independent economic factors, M₁ and M₂. The risk-free rate is 4%, and all stocks have independent firm-specific components with a standard deviation of 41%. Portfolios A and B are both well diversified. Portfolio Beta on M₁ Beta on M₂ Expected Return (%) A B 1.8 2.2 2.3 -0.5 31 9 What is the expected return-beta relationship in this economySuppose there are two independent economic factors, M₁ and M₂. The risk-free rate is 7%, and all stocks have independent firm- specific components with a standard deviation of 55%. Portfolios A and B are both well diversified. Portfolio Beta on My 1.7 2.0 Beta on M₂ 2.1 -0.8 Expected Return (%) 34 15 Required: What is the expected return-beta relationship in this economy? (Do not round intermediate calculations. Round your answers to 2 decimal places.) Expected return-beta relationship E(fp)= %+ Bp1+ Bp₂