Suppose 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 53%. Portfolios A and B are both well-diversified with the following properties:PortfolioABBeta on F11.52.5Beta on F2 Expected Return1.9-0.1931%28%Required:What is the expected return-beta relationship in this economy? Calculate the risk-free rate, rf, and the factor risk premiums, RP1 and RP2to complete the equation below.Note: Do not round intermediate calculations. Round your answers to 2 decimal places.E(rp) rf+(BP1 x RP1) + (BP2 x RP2)"%RP%RP2%

Beta on F1 in A = 1.5Beta on F2 in A = 1.9Expected return of A = 31%Beta on F1 in B = 2,5Beta on F2…

Suppose 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 53%. Portfolios A and B are both well-diversified with the following properties: Portfolio A B Beta on F1 1.5 2.5 Beta on F2 1.9 Expected Return 31% -0.19 28% Required: What is the expected return-beta relationship in this economy? Calculate the risk-free rate, rf, and the factor risk premiums, RP1 and RP2 to complete the equation below. Note: Do not round intermediate calculations. Round your answers to 2 decimal places. E(rp) rf+(PP1 x RP1) + (BP2 x RP2) " % RP % RP2 %

Suppose 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 53%. Portfolios A and B are both well-diversified with the following properties: Portfolio A B Beta on F1 1.5 2.5 Beta on F2 1.9 Expected Return 31% -0.19 28% Required: What is the expected return-beta relationship in this economy? Calculate the risk-free rate, rf, and the factor risk premiums, RP1 and RP2 to complete the equation below. Note: Do not round intermediate calculations. Round your answers to 2 decimal places. E(rp) rf+(PP1 x RP1) + (BP2 x RP2) " % RP % RP2 %

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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Suppose 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 53%. Portfolios A and B are both well-diversified with the following properties: Portfolio A B Beta on F1 1.5 2.5 Beta on F2 Expected Return 1.9 -0.19 31% 28% Required: What is the expected return-beta relationship in this economy? Calculate the risk-free rate, rf, and the factor risk premiums, RP1 and RP2 to complete the equation below. Note: Do not round intermediate calculations. Round your answers to 2 decimal places. = E(rp) rf+(PP1 x RP1) + (BP2 x RP2) % RP1 % RP2 %
Suppose 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 43%. Portfolios A and B are both well-diversified with the following properties: Portfolio Beta on F1 Beta on F2 Expected Return A 1.9 2.2 33 % B 2.8 –0.22 28 % What is the expected return-beta relationship in this economy? Calculate the risk-free rate, rf, and the factor risk premiums, RP1 and RP2, to complete the equation below. (Do not round intermediate calculations. Round your answers to two decimal places.)E(rP) = rf + (βP1 × RP1) + (βP2 × RP2)
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)
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 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 economy
consider the following data for a single factor model economy. all portfolios are well diversified. suppose portfolio p has an expected return of 19% and beta of 2.0. portfolio m has an expected retrun of 12% and beta of 1.0. assume that the risk free rate is 7% and that arbitrage opportunities exist. what is the portfolio p's alpha?
Suppose that there are two independent economic factors, F₁ and F2. The risk-free rate is 10%, and all stocks have independent firm- specific components with a standard deviation of 40%. Portfolios A and B are both well-diversified with the following properties: Portfolio Beta on F1 A 1.6 B 2.5 "f Beta on F2 Expected Return 2.0 -0.20 Required: What is the expected return-beta relationship in this economy? Calculate the risk-free rate, rf, and the factor risk premiums, RP1 and RP2 to complete the equation below. Note: Do not round intermediate calculations. Round your answers to 2 decimal places. E(rp) = rf + (BP1 x RP1) + (BP2 × RP2) Answer is complete but not entirely correct. 10.00 % 12.50 % 75.00 % RP1 RP2 30% 25%
Suppose 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
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?
Suppose 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 43%. Portfolios A and B are both well-diversified with the following properties: Portfolio Beta on F1 A 1.9 B 2.8 rf RP1 RP2 Beta on F2 2.2 -0.22 % Expected Return What is the expected return-beta relationship in this economy? Calculate the risk-free rate, rf, and the factor risk premiums, RP₁ and RP2, to complete the equation below. (Do not round intermediate calculations. Round your answers to two decimal places.) E(rp) = rf + (p1 × RP1) + (P2 × RP2) 33% 28%
Suppose that there are two independent economic factors, F1 and F2. The risk-free rate is 6%. The following are well-diversified portfolios: Portfolio Beta on F1 Beta on F2 Expected Return A 1.5 2.0 31% B 2.2 -0.2 27% [i]. What is the risk premium for F1?
Suppose that there are two independent economic factors, F, and F2. The risk-free rate is 6%, and all stocks have independent firm-specific components with a standard deviation of 46%. Portfolios A and 8 are both well-diversified with the following properties: Expected Portfolio Beta on F1 Beta on F2 Es ReturnA 2.1 2.4 35%B 3.0 -0.24 30% What is the expected return-beta relationship in this economy? Calculate the risk-free rate, rf, and the factor risk premiums, RP1 and RP2, to complete the equation below. (Do not round intermediate calculations. Round your answers to two decimal places.) Blrp) = r¢ + (Ber * RP1) + (Bp2 * RP2) Please see attached image for more details.
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 economy

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