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 (%) 2.3 A B 1.8 2.2 -0.5 31 9 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 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 (%) 2.3 A B 1.8 2.2 -0.5 31 9 What is the expected return-beta relationship in this economy

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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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 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)
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%, 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, 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.
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+(BP1 x RP1) + (BP2 x RP2) " % RP % 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 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
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 + BP2
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 46%. Portfolios A and B are both well-diversified with the following properties: Portfolio A B Beta on F1 2.1 3.0 rf RP1 RP2 Beta on F2 2.4 -0.24 % % % 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 + (Bp1 × RP₁) + (Bp2 × RP2) 35% 30%
Suppose that there are two independent factors, F1 and F2. The risk-free rate is 3%, and all stocks have independent firm-specific components with a standard deviation of 42%. Portfolios A and B are both well-diversified with the following properties: Portfolio Beta on F1 Beta on F2 Expected Return A 1.8 2.1 32% B 2.7 -0.21 27% 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 (write answers as percentages, rounded to two decimal places). E(rp) = rf + (BP1 X RP1) + (BP2 X RP2) (Note: B = Beta) rf ?% RP1 ?% RP2 ?%
Assume that both portfolios A and B are well diversified, that E(rA) = 12%, and E(rB) = 9%. If the economy has only one factor, and βA = 1.2, whereas βB = .8, what must be the risk-free rate?

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