Loose-Leaf Essentials of Investments
10th Edition
ISBN: 9781259604966
Author: Kane, Alex, Marcus Professor, Alan J., Bodie Professor, Zvi
Publisher: McGraw-Hill Education
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Chapter 20, Problem 17C
Return to the previous problem.
a. Suppose you hold an equally weighted portfolio of
b. Recalculate the probability of a loss on a market-neutral strategy involving equally weighted, market-hedged positions in the
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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).
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c) Assume 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
(B).
Chapter 20 Solutions
Loose-Leaf Essentials of Investments
Ch. 20 - Prob. 1PSCh. 20 - A fund manages a 3.6 billion equity portfolio with...Ch. 20 - Prob. 3PSCh. 20 - Prob. 4PSCh. 20 - Which of the following would be the most...Ch. 20 - Prob. 6PSCh. 20 - Which of the following hedge fund types is most...Ch. 20 - Prob. 8PSCh. 20 - Prob. 9PSCh. 20 - Is statistical arbitrage true arbitrage? Explain....
Ch. 20 - A hedge fund with 1 billion of assets charges a...Ch. 20 - Prob. 12PSCh. 20 - Prob. 13PSCh. 20 - Prob. 14PSCh. 20 - Prob. 15PSCh. 20 - 16. The following is part of the computer output...Ch. 20 - Return to the previous problem. LO202 a. Suppose...Ch. 20 - Prob. 18CCh. 20 - Prob. 19CCh. 20 - Prob. 1WMCh. 20 - Prob. 2WMCh. 20 - Prob. 3WM
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- 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…arrow_forwardsee attached image.arrow_forwardSuppose that stocks are exposed to systematic risks only so that stock i has the following return structure: Ri,t = mį + Si,t where mi is the average return, and si,t is the systematic risk. When we construct a portfolio including more and more stocks, which of the following would happen? The portfolio volatility gradually decreases and eventually converges to a certain positive value. ● The portfolio volatility gradually decreases and eventually converges to zero. The portfolio volatility stays unchanged.arrow_forward
- true or falsearrow_forwardAccording to CAPM, the expected rate of return of a portfolio with a beta of 1.0 and an alpha of 0 is:a. Between rM and rf .b. The risk-free rate, rf .c. β(rM − rf).d. The expected return on the market, rM.arrow_forwardSuppose you have an investment portfolio with fraction x invested in a market portfolio and (1-x) in a risk- free asset. Increasing fraction x invested in the market portfolio and consequently decreasing (1-x) invested in the risk-free asset shall (select any correct answer, if there are multiple correct answers) Select one or more: O decrease the Sharpe ratio of the resulting portfolio O decrease the expected return of the resulting portfolio increase the Sharpe ratio of the resulting portfolio increase the expected return of the resulting portfolio Dincrease the risk of the resulting portfolioarrow_forward
- Which of the following statements regarding the graph of the SML is most accurate? Select one O A. O B. B-1.0 The beta of Portfolios A, B, and C are identical as they fall directly on the line. The expected return of Portfolio C is the difference between the market's expected return and the risk-free rate. O C. Portfolio A has lower systematic risk than Portfolio B. OD. The slope of the line is the market risk premium.arrow_forwardAssume that you have a portfolio of two stocks, X and Y. If the risk of stock X is 1.2 and the risk of stock Y is 4 then the return on stock Y should be? If the portfolio is well diversified and stocks are strongly negatively related, then the risk for the portfolio will be?arrow_forwardThe optimal proportion of the risky asset in the complete portfolio is given by the equation below y*= E(Rp− Rf) A0² For each of the variables on the right side of the equation, discuss the impact of the variable's effect on y* and why the nature of the relationship makes sense intuitively. Assume the investor is risk aversearrow_forward
- The 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_forward1. The diversifiable risk of a portfolio: a. Is correlated with systematic risk. b. Can be made sufficiently small. c. Is zero in the real world. d. Is the risk that investors lose because of transaction costs. Which one of the following conditions determines the investor’s overall optimal portfolio? a. The marginal ratio of substitution of the investor’s utility function must be equal to the Sharpe ratio of the optimal risky portfolio. b. The standard-deviation of the overall portfolio in minimised. c. The expected return of the overall portfolio is maximised. d. The slope of the Sharpe-ratio is equal to zero. 4. Markets can never be strong-form efficient because: a. There are too many traders in them. b. Investors are rational. c. Information is costly to acquire. d. All information is public. 5. Which one of the following is not a property of a pure arbitrage portfolio? a. Zero investment. b. Zero systematic risk. c. Positive net return. d. All of the above.arrow_forward(Singular) Suppose there are two stocks that are uncorrelated. Each of these has variance of 1, and there are expected returns are 7₁ and 72, respectively. The risk-free rate is rf. Find the portfolio of weights w₁ and w2 for the Markowitz (market) portfolio. Show that for some value of rf there is no Markowitz portfolio.arrow_forward
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