Problem 1You are given the following information about stock X and the market portfolio, M:Riskless Asset (f)Stock XMarket Portfolio (M)E(r)0.04 (4%)?0.10σ0.000.300.20You are not given the expected return of stock X. The correlation of the returns on the stock X andthe 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 marketportfolio. You are thinking of investing $300 in the risk free asset, $400 in stock X, and $300in the market portfolio. What is the overall expected return, standard deviation and beta ofthis portfolio?

Beta of stock shows the risk and volatility related to risk and volatlity related to the overall…

Answered: You are not given the expected return…

You are not given the expected return of stock X. The correlation of the returns on the stock X a the market portfolio is equal to 0.4. a) What is the beta (6) of stock X?

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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If you plot the relationship between portfolio expected return and portfolio beta, what is the slope of the line that results? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) | Slope of the line %
Consider the following probability distribution for stocks A and B: State Probability Return on Stock A Return on Stock B 1 0.10 10% 8% 2 0.20 13% 7% 3 0.20 12% 6% 4 0.30 14% 9% 5 0.20 15% 8% The coefficient of correlation between A and B is:
Which of the following is INCORRECT? A. Anticipated returns on any given stock are always greater than 0. B. A negative beta stock has an expected return less than the risk-free rate. C. Two assets with a correlation of -1 could be combined to create a portfolio with a standard deviation of zero (no risk). D. All a stock’s risk could be unsystematic.
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)Question 2. Foreign exchange marketsStatoil, the national…
choose which one ? 3.Assume CAPM holds. What is the correlation between an efficient portfolio and the market portfolio?a.1b.-1c.0d.Not enough information
Q1: Explain the meaning and significance of a stock's beta coefficient. Illustrate your explanation by drawing, on one graph, the characteristic lines for stocks with low, average, and high risk. (Hint: Let your three characteristic lines intersect at r_i=r_m=6%, the assumed risk-free rate.) Q2: Define the following terms, using graphs or equations to illustrate your answers where feasible. a) Risk, stand-alone risk b) Expected rate of return c) standard deviation, variance d) risk premium for stock i, market risk premium e) Capital Asset Pricing Model (CAPM) f) Expected return on a portfolio g) market risk, diversifiable risk h) Beta i) Security Market Line; SML equation j) Slope of SML and its relationship to risk aversion. Q3. Differentiate between (a) stand-alone risk and (b) risk in a portfolio context. How are they measured, and are both concepts relevant for investors? Q4. Can an investor eliminate market risk from a portfolio of common stocks? How many stocks must a portfolio…
Which of the following statements is CORRECT? (Assume that the risk-free rate is a constant.) a. The effect of a change in the market risk premium depends on the slope of the yield curve. b. If the market risk premium increases by 1%, then the required return on all stocks will rise by 1%. c. If the market risk premium increases by 1%, then the required return will increase by 1% for a stock that has a beta of 1.0. d. The effect of a change in the market risk premium depends on the level of the risk-free rate. e. If the market risk premium increases by 1%, then the required return will increase for stocks that have a beta greater than 1.0, but it will decrease for stocks that have a beta less than 1.0.
Which of the following will (holding everything else constant) cause the price earnings (P/E) ratio of a stock to decrease: The required return increases The risk-free rate decreases The stock's beta decreases The required return decreases
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
U Assume CAPM holds. We know expected return and beta of two stocks: Stock A: E[ra] = 10% and beta_a = 1.5 Stock B: E[rb] = 5% and beta_b = 0.5 What would be the expected return of a stock that has a beta of 0.9? O 6.5% Ⓒ7% O 7.5% O 6% Question 5 Which of the following statements is false? o The CAPM follows from equilibrium conditions in a frictionless mean-variance economy with rational investors According to CAPM, everyone should hold a mix of the market portfolio and the risk-free asset. According to CAPM, everyone can generate positive return by buying positive alpha stocks and by selling negative alpha stocks. According to CAPM, the expected return on a stock is a linear function of its beta.
5. Suppose that you have a stock with a market beta of zero. This means that (A) the stock has no risk for an investor when held alone.(B) the stock adds no risk when held in a market portfolio.(C) the stock ́s returns must have a standard deviation of zero.(D) the expected return on this stock must be zero or negative.(E) this stock ́s returns must be uncorrelated with the market returns.
If a stock's expected return plots on or above the SML, then the stock's return is SML, the stock's return is to compensate the investor for risk. cent to compensate the investor for risk. If a stock's expected return plots below the The SML line can change due to expected Inflation and risk aversion. If inflation changes, then the SML plotted on a graph will shift up or down parallel to the old SML. If risk aversion changes, then the SML plotted on a graph will rotate up or down becoming more or less steep if investors become more or less risk averse. A firm can influence market risk (hence its beta coefficient) through changes in the composition of its assets and through changes in the amount of debt it uses. Quantitative Problem: You are given the following information for Wine and Cork Enterprises (WCE): Tar 4%; 10 % ; RPM 6%, and beta - 1.1 What is WCE's required rate of return? Do not round intermediate calculations. Round your answer to two decimal places. -75 % If inflation…

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