19. Consider the following covariances between securities: Duke Microsoft Wal-Mart Duke 0.0568 -0.0193 0.0037 Microsoft -0.0193 0.2420 0.1277 Wal-Mart 0.0037 0.1277 0.1413 What is the variance on a portfolio that is made up of $6000 investments in Microsoft and a $4000 investment in Wal-Mart stock?

19. Consider the following covariances between securities: Duke Microsoft Wal-Mart Duke 0.0568 -0.0193 0.0037 Microsoft -0.0193 0.2420 0.1277 Wal-Mart 0.0037 0.1277 0.1413 What is the variance on a portfolio that is made up of $6000 investments in Microsoft and a $4000 investment in Wal-Mart stock?

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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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?
None
13. Changes to the security market line The following graph plots the current security market line (SML) and indicates the return that investors require from holding stock from Happy Corp. (HC). Based on the graph, complete the table that follows. REQUIRED RATE OF RETURN (Percent) REQUIRED RATE OF RETURN (Percent) 20.0 16.0 20 12.0 16 8.0 12 4.0 0 0 CAPM Elements Risk-free rate (TRF) Market risk premium (RPM) Happy Corp. stock's betal Required rate of return on Happy Corp. stock 0 Happy Corp.'s new required rate of return is F 0.6, 7.6 HC's Stock ☐ 0.5 An analyst believes that inflation is going to increase by 2.0% over the next year, while the market risk premium will be unchanged. The analyst uses the Capital Asset Pricing Model (CAPM). The following graph plots the current SML. Calculate Happy Corp.'s new required return. Then, on the graph, use the green points (rectangle symbols) to plot the new SML suggested by this analyst's prediction. 0 1.0 RISK (Beta) Tool tip: Mouse over the…
8. (Portfolio of two stocks) The following spreadsheet presents data for stocks A and B. A B C 1 2 RETURN STATISTICS OF STOCKS A AND B Stock A Stock B 3 Average return 15% 10% 4 Variance 0.12 0.07 5 Standard deviation 34.64% 26.46% 6 7 Covariance of return, Cov(AIB) 0.0160 0.1746 <=B7/(B5*C5) a. 8 Correlation of return What are the return and the standard deviation of a portfolio com- posed of 30% of stock A and 70% of stock B? b. What are the return and the standard deviation of an equally weighted portfolio of stocks A and B?
In the CAPM world, if Sharpe ratio of the market portfolio is 1.25 and the correlation coefficient between stock i and the market portfolio is 0.60, what is the stock i's Sharpe ratio? → (1) 0.25; (2) 0.45; (3) 0.50; (4) 0.75; (5) 0.80; (6) 1.00; (7) 1.25; 8 (8) 1.50; (9) 1.75; (10) 2.05;
Y8 Please answer
Suppose you create a portfolio with two securities: Security Security Weight (%) Security Variance (%) X 70 18 Y 30 22 If the correlation coefficient between the two securities is -0.2, what is the standard deviation of the portfolio？
14. Risk free asset, the market, and stock X have the expected returns of 2%, 8%, and 12% respectively. If X and the market has a covariance of 0.1503, what is the risk level of the market (as it is measured by the standard deviation)?
Which of the following statement(s) is(are) true? 1) The real rate of interest is determined by the supply and demand for funds. II) The real rate of interest is determined by the expected rate of inflation. III) The real rate of interest is unaffected by actions of the Fed. IV) The real rate of interest is equal to the nominal interest rate plus the expected rate of inflation. III and IV only. I only. OII and III only. O, II, III, and IV only. OI and III only.
V1
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).
11. Changes to the security market line The following graph plots the current security market line (SML) and indicates the return that investors require from holding stock from Happy Corp. (HC). Based on the graph, complete the table that follows: CAPM Elements Value Risk-free rate (rRFrRF) ________? Market risk premium (RPMRPM) __________? Happy Corp. stock’s beta ___________? Required rate of return on Happy Corp. stock ___________? An analyst believes that inflation is going to increase by 3.0% over the next year, while the market risk premium will be unchanged. The analyst uses the Capital Asset Pricing Model (CAPM). The following graph plots the current SML.

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