Essentials Of Investments
11th Edition
ISBN: 9781260013924
Author: Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher: Mcgraw-hill Education,
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There are two securities: Stock G and stock H. Stcok G has expected return of 12% and a standard deviation of 20% while stock H has an expected return of 3.5% and a standard deviation of 4%. The correlation coefficient between the two securities is 0.35. The risk free rate is 3%. 1. What is the weight of stock G in the optimal risky portfolio ? 2. What does a negative weight in stock H mean?
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- 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%.arrow_forwardSuppose 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?arrow_forwardConsider 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 Betaarrow_forward
- 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?arrow_forwardThe following figures show the optimal portfolio choice for two investors with different levels of risk-aversion graphically. Which statement is correct? E[R] 0.3 0.25 0.2 0.15 0.1 0.05 0 0 0.05 0.1 0.15 Figure 1 0.2 0.25 0.3 0.35 o(R) 0.4 0.45 [H]Z 0.3 0.25 0.2 0.15 0.1 0.05 0 0 0.05 0.1 Figure (2) shows an investor that borrows in risk-free rate and invests in the risky asset. Figure (1) shows an investor with a conservative investment behavior. In the optimal point of both figures, the highest indifference curve is tangent to the efficient frontier. In Figure (1), more aggressive investment decision led to a higher Sharpe ratio. 0.15 Figure 2 0.2 0.25 o (R) 0.3 0.35 0.4 0.45arrow_forwardStock Y has a beta of 1.45 and an expected return of 13.50 percent. Stock Z has a beta of .70 and an expected return of 10 percent. What would the risk-free rate have to be for the two stocks to be correctly priced relative to each other?arrow_forward
- 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 oarrow_forwardStock Y has a beta of 1.4 and an expected return of 15.1 percent. Stock Z has a beta of .7 and an expected return of 8.6 percent. If the risk-free rate is 5 percent and the market risk premium is 6.5 percent, the reward-to-risk ratios for Stocks Y and Z are the SML reward-to-risk is percent, Stock Y is and percent, respectively. Since and Stock Z is (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.)arrow_forwardFind the weights of the two pure factor portfolios constructed from the following three securities: r1 = .06 + 2F¡ + 2F, r2 = .05 + 3F, + IF, r3 = .04 + 3F, + OF, Then write out the factor equations for the two pure factor portfolios, and determine their risk premiums. Assume a risk-free rate that is implied by the factor equations and no arbitrage.arrow_forward
- We know that two stocks A and B are correctly priced by the CAPM model. For A, the expected return is 12%, and the beta is 1.5; for B, the expected return is 6%, and the beta is 0.5. Based on this information, what is the risk free rate and expected market return? Select one: A. 3%; 9% B. 3%; 6% C. 2%; 8% D. 4%; 10%arrow_forwardConsider the following securities: state Probability A B A B H M L 0.2 0.5 0.3 с 6 10 6 3 7 12 2 5 14 1. The expected payoff of A is: 2. The standard deviation of A is: 3. If the price of A is 3, its expected return is: 4. The covariance between A and B is: 5. The correlation coefficient between A and B is: 6. Is it possible to build a portfolio that has zero variance using A and C? YES/ NOarrow_forwardThe following figures show the optimal portfolio choice for two investors with different levels of risk-aversion graphically. Which statement is correct? E[R] 0.3 0.25 0.2 0.15 0.1 0.05 0 0 0.05 0.1 0.15 Figure 1 0.2 0.25 0.3 0.35 0.4 0.45 o (R) E[R] Figure (1) shows an investor with a conservative investment behavior. 0.3 0.25 0.2 0.15 0.1 0.05 0 0 Figure (2) shows an investor that borrows in risk-free rate and invests in the risky asset. 0.05 0.1 0.15 In the optimal point of both figures, the highest indifference curve is tangent to the efficient frontier. O In Figure (1), more aggressive investment decision led to a higher Sharpe ratio. Figure 2 0.2 0.25 o(R) 0.3 0.35 0.4 0.45arrow_forward
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