Risk free rate of vetun is 3% Market return (or market portfolio's rate of return) = 10% %3D IBM stock's beta = 1.2 Then, based on the CAPM (capital asset pricing model), IBM stock's required rate of return (or minimum acceptable return or fair rate of return) = risk-free return + beta*(market return minus risk-free return) = 3% + 1.2*(10% - 3%) = 11.4% Also, the market risk premium (or market portfolio's risk premium) = market return minus risk- %3D free return = 10% - 3% = 7% %3D i) suppose that a stock's beta is 0.7. If the risk-free rate of return is 4% and the market risk premium is 8%, what is the stock's required rate of return? j) Explain some issues on the CAPM.

Risk free rate of vetun is 3% Market return (or market portfolio's rate of return) = 10% %3D IBM stock's beta = 1.2 Then, based on the CAPM (capital asset pricing model), IBM stock's required rate of return (or minimum acceptable return or fair rate of return) = risk-free return + beta(market return minus risk-free return) = 3% + 1.2(10% - 3%) = 11.4% Also, the market risk premium (or market portfolio's risk premium) = market return minus risk- %3D free return = 10% - 3% = 7% %3D i) suppose that a stock's beta is 0.7. If the risk-free rate of return is 4% and the market risk premium is 8%, what is the stock's required rate of return? j) Explain some issues on the CAPM.

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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Assume that the risk-free rate of return is 4% and the market risk premium (ie., Rm- R:) is 8%. If use the Capital Asset Pricing Model (CAPM) to estimate the expected rate of return on a stock with a beta of 128, then this stock's expected retum should be A) 10.53% B) 14.24% 23.15% 6.59%
As per Capital Asset Pricing Model (CAPM) : Re=Rf+(Rm-Rf)βwhere, Re= Required rate of returnRf= Risk free rate of return = 0%Rm = Market return or Expected return on market = 3.3%β = Beta of the stock = 1.24Now, Re= Rf + Rm - Rf βRe= 0 + 3.3 - 0 ×1.24Re= 4.092% To calculate the abnormal return we will use the formula: = E(R) - Re= 3% - 4.092% = -1.092% or - 0.01092 How did you get the 4.092%?
Assume that the risk-free rate of return is 4% and the market risk premium (i.e., Rm- Re) is 8%. If use the Capital Asset Pricing Model (CAPM) to estimate the expected rate of return on a stock with a beta of 128, then this stock's exoected return should be ----- A) 10.53 B) 14.24% C) 2315% D) 6.59%
How to set-up this problem? Refer to the following example for part i) Risk-free rate of return = 3% Market return (or market portfolio's rate of return) = 10% IBM stock's beta = 1.2 Then, based on the CAPM (capital asset pricing model), IBM stock's required rate of return (or minimum acceptable return or fair rate of return) = risk-free return + beta*(market return minus risk-free return) = 3% + 1.2*(10% - 3%) = 11.4% Also, the market risk premium (or market portfolio's risk premium) = market return minus risk-free return = 10% - 3% = 7% HERE IS THE QUESTION i) suppose that a stock's beta is 0.7. If the risk-free rate of return is 4% and the market risk premium is 8%, what is the stock's required rate of return?
Beta and expected return
Consider the following simplified APT model: Factor Expected Risk Premium Market 6.4% Interest Rate -0.6% Yield Spread 5.1% Factor Risk Exposures Market Interest Rate Yield Spread Stock Stock (b1) (b2) (b3) P 1.0 -2.0 -0.2 P2 1.2 0 0.3 P3 0.3 0.5 1.0 a) Calculate the expected return for the above stocks. Assume risk free rate is 5%. Consider a portfolio with equal…
Consider the following simplified APT model: Factor Market Expected Risk Premium (%) Interest rate Yield spread 6.2 -0.8 4.8 Factor Risk Exposures Market ( Interest Rate ( Yield Spread ( Stock b₁ ) P 1.0 p2 1.0 p3 0.3 b2 ) -1.4 0 2.1 b3 ) -0.6 0.1 0.6 = : 3.8%. Calculate the expected return for each of the stocks shown in the table above. Assume rf Note: Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places. Expected return P 7.80% Expected return P2 10.38% Expected return P3 %
Consider the following simplified APT model: Factor Expected Risk Premium Market 6.4% Interest Rate -0.6% Yield Spread 5.1% Factor Risk Exposures Market Interest Rate Yield Spread Stock Stock(b1) (b2) (b3) P 1.0 -2.0 -0.2 P2 1.2 0 0.3 P3 0.3 0.5 1.0 Required: 1. Calculate the expected return for the above stocks. Assume risk free rate is 5%. Consider a portfolio with equal investments in stocks P, P2 and P3 2.What are the factor risk exposures for the portfolio? 3.What is the portfolio’s expected return?
2. Using the capital asset pricing model (CAPM), estimate the appropriate required rate of return for the following three stocks, assuming that the risk-free rate (rRF) is 5 percent and the expected return for the market (rM) is 17 percent. Please show all work. Stock Beta (?) A 0.75 B 0.90 C 1.40
Suppose the risk free rate (rfr) = 5%, average %3D market return (rm) = 10%, and the required or expected rate of return E(r) = 12% for %3D TNG stock. (a) Calculate the Beta for TNG. (b) If TNG's Beta = 2.0, what would be TNG's new required or expected rate of return (r)?
b) You are given the following information about Stock X and the market: The annual effective risk-frec rate is 5%. The expected return and volatility for Stock X and the market are shown in the table below: Expected Return Volatility Stock X 5% 40% Market 8% 25% The correlation between the returns of stock X and the market is -0.25. Assume the Capital Asset Pricing Model holds. Calculate the required return for Stock X and determine if the investor should invest in Stock X.
Based on the Capital Asset Pricing Model (CAPM) and the diagram below, what is the return of the stock if its beta is 1.2 or 0.8?

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