Suppose you group all the stocks in the world into mutually exclusive portfolios (each stock is in only one portfolio): growth stocks and value stocks. Suppose the two portfolios have equal size (in terms of total value), a correlation of 0.5, and the following characteristics: The risk free-rate is 3%. a. What is the expected return and volatility of the market portfolio (which is a 50-50 combination of the two portfolios)? b. Calculate the Sharpe ratios of the value stock, growth stock, and market portfolio. c. Does the CAPM hold in this economy? (Hint: Is the market portfolio efficient?) a. What is the expected return and volatility of the market portfolio (which is a 50-50 combination of the two portfolios)? The expected return of the market portfolio is %. (Round to two decimal place.) Data table (Click on the following icon in order to copy its contents into a spreadsheet.) Value Stocks Growth Stocks Expected Return 15% 18% Volatility 13% 26% ☑

Suppose you group all the stocks in the world into mutually exclusive portfolios (each stock is in only one portfolio): growth stocks and value stocks. Suppose the two portfolios have equal size (in terms of total value), a correlation of 0.5, and the following characteristics: The risk free-rate is 3%. a. What is the expected return and volatility of the market portfolio (which is a 50-50 combination of the two portfolios)? b. Calculate the Sharpe ratios of the value stock, growth stock, and market portfolio. c. Does the CAPM hold in this economy? (Hint: Is the market portfolio efficient?) a. What is the expected return and volatility of the market portfolio (which is a 50-50 combination of the two portfolios)? The expected return of the market portfolio is %. (Round to two decimal place.) Data table (Click on the following icon in order to copy its contents into a spreadsheet.) Value Stocks Growth Stocks Expected Return 15% 18% Volatility 13% 26% ☑

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 the risk free rate is 2, 32%, the expected return of the market portfolio is 5, 64% and the beta of stock X-Bros S. A. is 1. 10. What is the expected cost of equity of X-Bros S. A. (in percent)?
Vi.
Using CAPM to determine the expected rate of return for risky assets, consider the following example stocks, assuming that you have already compute the betas Stock Beta A 0.70 B 1.00 C 1.15 D 1.40 E -0.30 Assume that we expect the economy’s RFR to be 5 percent (0.05) and the expected return on the market portfolio (E(RM)) to be 9 percent (0.09), 1, what would this imply? With these inputs, what would the be the following required rate of returns for these five stocks, show the formula for each in your calculations.
Finance The risk-free rate is 3.7 percent and the expected return on the market is 12.3 percent. Stock A has a beta of 1.1and an expected return of 13.1 percent. Stock B has a beta of .86 and an expected return of 11.4 percent. Arethese stocks correctly priced? Why or why not? Use E(Ri) = Rf + βi(E(RM) − Rf).
Suppose that the index model for stocks A and B is estimated from excess returns with the following results: RA = 2.60% + 0.90RM + eA RB = -2.00% + 1.20RM + eB OM = 26%; R-squarea = 0.21; R-squareg = 0.12 Assume you create portfolio P with investment proportions of 0.70 in A and 0.30 in B.
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?
You own a portfolio equally invested in a risk-free asset and two stocks. One of has risky as has a beta of 1.6, and the total portfolios is equally as risky as the market. What's the beta of the second stock?
Consider a CAPM economy. The risk free rate (rf ) is 4% and the expected market return (rM )is 10%. (a) Stock 1: β = 0.90. Compute the expected return of stock 1. (b) Stock 2: β = 1.1. Compute the expected return of stock 2. (c) Portfolio 1: The proportions invested in stock 1, stock 2, and risk free asset are 30%, 30%,and 40%, respectively. Compute the beta and expected return of portfolio 1. (d) Portfolio 2: The proportions invested in stock 1, stock 2, and risk free asset are 50%, 60%,and -10%, respectively. Compute the beta and expected return of portfolio 2.
Assume that using the Security Market Line(SML) the required rate of return(RA)on stock A is found to be halfof the required return (RB) on stock B. The risk-free rate (Rf) is one-fourthof the required return on A. Return on market portfolio is denoted by RM. Find the ratioof betaof A(A) tobeta of B(B). Thank you for your help.
You build a portfolio containing stocks ?A and ?B only and you have shorted ?B such that its portfolio weight is −0.25−0.25. If the expected return on ?A is 15% and on ?B is 13%, what is the expected return (in %) on the portfolio?
E(FAssume that using the Security Market Line (SML) the required rate of return (RA) on stock A is found to be half of the required return (Rs) on stock B. The risk-free rate (R;) is one-fourth of the required return on A. Return on market portfolio is denoted by RM. Find the ratio of beta of A (BA) to beta of B (BB). a o
Suppose the rate of return on short-term government securities (perceived to be risk-free) is about 7%. Suppose also that the expected rate of return required by the market for a portfolio with a beta of 1 is 13%. According to the capital asset pricing model: a. What is the expected rate of return on the market portfolio? (Round your answer to 2 decimal places.) b. What would be the expected rate of return on a stock with β = 0? (Round your answer to 2 decimal places.) c. Suppose you consider buying a share of stock at $47. The stock is expected to pay $3.5 dividends next year and you expect it to sell then for $49. The stock risk has been evaluated at β = –.5. Is the stock overpriced or underpriced? A. Underpriced B. Overpriced

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