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:PortfolioABBeta on F12.13.0rfRP1RP2Beta on F22.4-0.24%%%ExpectedReturnWhat is the expected return-beta relationship in this economy? Calculate the risk-free rate, rf, and the factor risk premiums, RP₁ andRP2, 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%

Portfolio Beta on F1 Beta on F2 Es ReturnA 2.1…

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 Beta on F1 2.1 A B 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 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 Beta on F1 2.1 A B 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%

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 45%. Portfolios A and B are both well-diversified with the following properties: Portfolio Beta on F1 A 1.5 B 2.2 rf RP1 RP2 Beta on F2 2.0 -0.2 % % % 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 2 decimal places.) E(rp) = rf + (BP1 x RP1) + (BP2 x RP2) 31% 27%
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+(BP1 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 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 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 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?
You are given the following information concerning three portfolios, the market portfolio, and the risk-free asset: Portfolio Y Z Market Risk-free Rp 13.5% бр 35.00% 12.5 30.00 7.1 20.00 10.6 4.4 25.00 0 Вр 1.55 1.20 0.80 1.00 0 Assume that the correlation of returns on Portfolio Y to returns on the market is 0.70. What percentage of Portfolio Y's return is driven by the market? Note: Enter your answer as a decimal not a percentage. Round your answer to 4 decimal places. × Answer is complete but not entirely correct. R-squared 0.9785
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 information for four portfolios, the market, and the risk-free rate (RFR): Portfolio Return Beta SD A1 0.15 1.25 0.182 A2 0.1 0.9 0.223 A3 0.12 1.1 0.138 A4 0.08 0.8 0.125 Market 0.11 1 0.2 RFR 0.03 0 0 Refer to Exhibit 18.6. Calculate the Jensen alpha Measure for each portfolio. a. A1 = 0.014, A2 = -0.002, A3 = 0.002, A4 = -0.02 b. A1 = 0.002, A2 = -0.02, A3 = 0.002, A4 = -0.014 c. A1 = 0.02, A2 = -0.002, A3 = 0.002, A4 = -0.014 d. A1 = 0.03, A2 = -0.002, A3 = 0.02, A4 = -0.14 e. A1 = 0.02, A2 = -0.002, A3 = 0.02, A4 = -0.14
According to CAPM, the expected rate of return of a portfolio with a beta of 1.0 and an alpha of 0 is:a. Between rM and rf .b. The risk-free rate, rf .c. β(rM − rf).d. The expected return on the market, rM.
Assume the APT equation for portfolios A and B with the following system of equations: E[rA] = λ0 + (λ1)3 + (λ2)0.2 = 11.0 E[rB] = λ0 + (λ1)2 + (λ2)1 = 13.0 Assume the following: . The risk free rate is λ0 = Rf = 5 . The expected return on the market portfolio is RM = 10 . Expected returns are consistent with the CAPM. . (hint: note that λ1 = E[RA] − Rf and λ2 = E[RB] − Rf ). Answer the following: (a) What are λ1 and λ2? (b) What is the CAPM β associated with the pure portfolio associated with factor 1? (c) What is the CAPM β associated with the pure portfolio associated with factor 2?
Assume that using the Security Market Line (SML) the required rate of return (RA) on stock A is foundto be half of the required return (RB) on stock B. The risk-free rate (Rf) is one-fourth of the requiredreturn on A. Return on market portfolio is denoted by RM. Find the ratio of beta of A (A) to beta of B(B). d) Assume that the short-term risk-free rate is 3%, the market index S&P500 is expected to payreturns of 15% with the standard deviation equal to 20%. Asset A pays on average 5%, has standarddeviation equal to 20% and is NOT correlated with the S&P500. Asset B pays on average 8%, also hasstandard deviation equal to 20% and has correlation of 0.5 with the S&P500. Determine whetherasset A and B are overvalued or undervalued, and explain why. (Hint: Beta of asset i (??) = ???????, where ??,?? are standard deviations of asset i and marketportfolio, ??? is the correlation between asset i and the market portfolio)

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