Suppose you observe the following situation: Security Pete Corporation Repete Company Beta 1.70 1.39 a. Expected return on market b. Risk-free rate Expected Return .180 .153 a. Assume these securities are correctly priced. Based on the CAPM, what is the expected return on the market? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) b. What is the risk-free rate? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) % %

Suppose you observe the following situation: Security Pete Corporation Repete Company Beta 1.70 1.39 a. Expected return on market b. Risk-free rate Expected Return .180 .153 a. Assume these securities are correctly priced. Based on the CAPM, what is the expected return on the market? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) b. What is the risk-free rate? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) % %

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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Question

Suppose you observe the following situation:
Security
Pete Corporation
Repete Company
Beta
1.70
1.39
a. Expected return on market
b. Risk-free rate
Expected
Return
.180
.153
a. Assume these securities are correctly priced. Based on the CAPM, what is the
expected return on the market? (Do not round intermediate calculations and enter
your answer as a percent rounded to 2 decimal places, e.g., 32.16.)
b. What is the risk-free rate? (Do not round intermediate calculations and enter your
answer as a percent rounded to 2 decimal places, e.g., 32.16.)
%
%

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Step 1: Capital Assets Pricing Model (CAPM)

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Assume that security returns are generated by the single-index model, Ri a BiRM + ei where R₁ is the excess return for security /and Ry is the market's excess return. The risk-free rate is 3%. Suppose also that there are three securities A, B, and C, characterized by the following data: Security Bi E(Ri} #{@į) A 1.5 61 298 B 1.7 8 15 C 1.9 10 24 a. If oy 26%, calculate the variance of returns of securities A, B, and C. Answer is complete but not entirely correct. Variance Security A 1,521 Security B 1,609 Security C 2,440 b. Now assume that there are an infinite number of assets with return characteristics identical to those of A, B, and C, respectively. What will be the mean and variance of excess returns for securities A, B, and C? (Enter the variance answers as a percent squared and mean as a percentage. Do not round intermediate calculations. Round your answers to the nearest whole number.)
Problem 1 You are given the following information about stock X and the market portfolio, M: Riskless Asset (f) Stock X Market Portfolio (M) E(r) 0.04 (4%) ? 0.10 σ 0.00 0.30 0.20 You are not given the expected return of stock X. The correlation of the returns on the stock X and the market portfolio is equal to 0.4. a) What is the beta (6) of stock X? b) Assuming the CAPM holds, what is the expected return on stock X? c) You have $1,000 to invest in some combination of the risk-free asset, stock X, and the market portfolio. You are thinking of investing $300 in the risk free asset, $400 in stock X, and $300 in the market portfolio. What is the overall expected return, standard deviation and beta of this portfolio?
(a) Mr Adani invests in two risky securities with the following details: Security 1: r1=0.16; 01-0.30; Security 2: r2=0.08; 2=0.25 Where r1 is the expected return of security 1 and o1 is the standard deviation of returns of security 1; r2 is the expected return of security 2 and o2is the standard deviation of returns of security 2 The correlation coefficient (p12) between the returns of the two securities is -0.5 (i) Calculate the expected rate of return(r) and risk(o) for the following portfolios: 1.40% security 1 and 60% security 2 II.80% security 1 and 20% security 2 I (ii) Given a risk-free rate of 4%, describe how Mr. Adani can use a combination of a risk-free instrument and a risky portfolio with an expected return of 15% to achieve an expected return of 26%.
A reduction in the willingness of investors to take on risk would have what effect on the Security Market Line? A.no effect B.rotate the SML counter clockwise around the risk-free rate C.rotate the SML clockwise around the risk-free rate D.shift the SML upward, parallel to its previous location
Consider the following table, which gives a security analyst's expected return on two stocks in two particular scenarios for the rate of return on the market: Market Return 6% 22 Aggressive Stock -3% 35 Defensive Stock 4% 12 Required: a. What are the betas of the two stocks? b. What is the expected rate of return on each stock if the two scenarios for the market return are equally likely? e. What hurdle rate should be used by the management of the aggressive firm for a project with the risk characteristics of the defensive firm's stock if market return is equally likely to be 6% or 22% ? Also, assume a T-Bill rate of 4%.
Suppose that many stocks are traded in the market and that it is possible to borrow at the risk-free rate, rƒ. The characteristics of two of the stocks are as follows: Stock Expected Return Standard Deviation A 8% 55% B 4% 45% Correlation = −1 Required: a. Calculate the expected rate of return on this risk-free portfolio? (Hint: Can a particular stock portfolio be formed to create a “synthetic” risk-free asset?) (Round your answer to 2 decimal places.) b. Could the equilibrium rƒ be greater than rate of return?
Consider the following table, which gives a security analyst's expected return on two stocks in two particular scenarios for the rate of return on the market: Market Return 6% 22 Aggressive Stock -3% 35 Defensive Stock 4% 12 Required: a. What are the betas of the two stocks? b. What is the expected rate of return on each stock if the two scenarios for the market return are equally likely? e. What hurdle rate should be used by the management of the aggressive firm for a project with the risk characteristics of the defensive firm's stock if market return is equally likely to be 6% or 22% ? Also, assume a T-Bill rate of 4%. Complete this question by entering your answers in the tabs below. Required A Required B Required E What are the betas of the two stocks? Note: Do not round intermediate calculations. Round your answers to 2 decimal places. Aggressive stock Defensive stock Beta
The Capital Asset Pricing Model (CAPM) says that the risk premium on a stock is equal to its beta times the market risk premium. ..... True False
Please answer both QUESTION 7 According to the capital asset pricing model (CAPM), fairly priced securities should have A. A non-zero alpha. в.A fair return based on the level of systematic risk. C. A fair return based on the level of unsystematic risk. D.A beta of 1. QUESTION 8 Diversification can increase fair return. True False
how to find the current market price of your market portfolio according to No Arbitrage condition? With weights (-0.6906057,1.21794211, 047266359) and expected returns (0.31%,2.1859%,1.4475%), where 0.31% is the risk free rate
Suppose securities A, B, and C have the following expected return and risk. Stock Expected return Risk A 8% 6% B 7% 9% C 13% 9% What is the coefficient of variation for stock A?
A stock has a correlation with the market of 0.4. If the Sharpe ratio of the market portfolio is 0.7, what is the Sharpe ratio of the stock? (Hint: algebraically manipulate the SML equation.) 0.28 0.75C. 0.60D. 0.55

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