v.2 Correlation withMicrosoft-1.044%1.023%0.7The volatility of a portfolio that is equally invested in Duke Energy and Microsoft is closest to:StockDuke EnergyMicrosoftWal-MartExpected StandardReturn Deviation14%6%23%14%A. 10.2%B. 5.1%O C. 8.5%OD. 7.7%Correlation withDuke Energy1.0- 1.00.0Correlation withWal-Mart0.00.71.0

The volatility of the portfolio refers to the spread of the return of the portfolio around the…

Stock Duke Energy Microsoft Wal-Mart Expected Standard Return Deviation 14% 6% 44% 23% 23% 14% O A. 10.2% B. 5.1% C. 8.5% D. 7.7% Correlation with Duke Energy Correlation with Microsoft -1.0 1.0 0.7 1.0 -1.0 0.0 The volatility of a portfolio that is equally invested in Duke Energy and Microsoft is closest to: Correlation with Wal-Mart 0.0 0.7 1.0

Stock Duke Energy Microsoft Wal-Mart Expected Standard Return Deviation 14% 6% 44% 23% 23% 14% O A. 10.2% B. 5.1% C. 8.5% D. 7.7% Correlation with Duke Energy Correlation with Microsoft -1.0 1.0 0.7 1.0 -1.0 0.0 The volatility of a portfolio that is equally invested in Duke Energy and Microsoft is closest to: Correlation with Wal-Mart 0.0 0.7 1.0

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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Consider the following expected returns, volatilities, and correlations: Stock Duke Energy Microsoft Wal-Mart Expected Standard Correlation with Correlation with Correlation with Return Duke Energy Deviation 14% 6% 44% 24% 23% 14% 1.0 -1.0 0.0 Microsoft -1.0 1.0 0.7 Wal-Mart 0.0 0.7 1.0 a) Consider a portfolio consisting of only Duke Energy and Microsoft. What is the percentage of your investment (portfolio weight) that you would place in Duke Energy stock to achieve a risk-free investment. b) What are the expected return and volatility of a portfolio that consists of a long position of $10,000 in Wal-Mart and a short position of $2000 in Microsoft? c) What are the expected return and platility of a portfolio that has $3000 invested in Duke Energy, $4000 invested in Microsoft, and $3000 invested in Walmart stock?
QG. The following information is available about the stocks of two companies A and B: Stock A Stock B Expected Return (%) Probability -5 12 15 20 0.05 0.55 0.35 0.05 Expected Return (%) Probability 5 15 18 20 0.05 0.65 0.20 0.10 Stock Standard Deviation of Returns (%) A B 25 35 The coefficient of correlation between the returns on A and B is 0.05. A portfolio is constructed by allocating the funds between A and B in the ratio of 2:3. Calculate the expected return on the portfolio. b. Calculate the portfolio risk.
K (Expected rate of return and risk) Syntex, Inc. is considering an investment in one of two common stocks. Given the information that follows, which investment is better, based on the risk (as measured by the standard deviation) and return? Common Stock A Probability 0.20 0.60 0.20 Common Stock B Return 13% 17% 18% Probability 0.10 0.40 0.40 0.10 (Click on the icon in order to copy its contents into a spreadsheet.) Return -7% 5% 16% 21% www a. Given the information in the table, the expected rate of return for stock A is 16.40 %. (Round to two decimal places.) The standard deviation of stock A is 1.74 %. (Round to two decimal places.) b. The expected rate of return for stock B is 9.8 %. (Round to two decimal places.) The standard deviation for stock B is 6.12 %. (Round to two decimal places.)
a. Based on the following information, calculate the expected return and standard deviation for each of the following stocks. What are the covariance and correlation between the returns of the two stocks? Calculate the portfolio return and portfolio standard deviation if you invest equally in each asset. Returns State of Economy Prob K Recession 0.25 -0.02 0.034 Normal 0.6 0.138 0.062 Boom 0.15 0.218 0.092 b. A portfolio that combines the risk-free asset and the market portfolio has an expected return of 7 percent and a standard deviation of 10 percent. The risk-free rate is 4 percent, and the expected return on the market portfolio is 12 percent. Assume the capital asset pricing model holds. What expected rate of return would a security earn if it had a .45 correlation with the market portfolio and a standard deviation of 55 percent? c. Suppose the risk-free rate is 4.2 percent and the market portfolio has an expected return of 10.9 percent. The market portfolio has a variance of…
Given the following information on a investment portfolio: Stock Name Expected returns $invested in stock Standard deviation of returntesla 15.5% 3750 10.3%microsoft 9.8% 5000 5.6%pfizer 13.8% 1250 12% Which stock should have the most systematic risk?
What is the expected return of an equally weighted portfolio comprised of the following three stocks? State ofEconomy Probability ofState of Economy Rate of Returnif State Occurs Stock A Stock B Stock C Boom .25 .19 .13 .07 Normal .72 .15 .05 .13 Bust .03
A B с E F Investment Opportunity set for stocks and bonds with varios correlation coeffients SD s SDB 19 8 E(rs) 10 Weight in stocks WS -0.1 0.0 0.1 0.2 0.3 0.4 0.6 0.8 1.0 1.1 D E(TB) 5 Portfolio expected return ws(min) = (GB^2 - OBOSP) / (Os^2 + B^2 - 2*0BÚSP) E(rp) = ws(min) *E(rs)+(1-wg(min))*E(rb) = SDp = G -1 Portfolio Standard Deviation for Given Correlation 0 0.2 0.5 H Minimum Variance Portfolio 1
IBM AMZN E(R) 0.07 0.11 Standard Deviation0.10 0.18 Correlation0.45 Suppose you have the above data on IBM and Amazon, compute the expected return and the standard deviation of an equally weighted portfolio invested in the two securitiesis there a diversification benefit? Please show your work and round to at least 3 decimal places
a. Based on the following information, calculate the expected return and standard deviation for each of the following stocks. What are the covariance and correlation between the returns of the two stocks? Calculate the portfolio returm and portfolio standard deviation if you invest equally in each asset. Returns State of Economy Prob J K Recession 0.25 -0.02 0.034 Normal 0.6 0.138 0.062 Boom 0.15 0.218 0.092 b. A portfolio that combines the risk-free asset and the market portfolio has an expected return of percent and a standard deviation of 10 percent. The risk-free rate is 4 percent, and the Page 7 of 33 expected return on the market portfolio is 12 percent. Assume the capital asset pricing model holds. What expected rate of return would a security earn if it had a 45 corelation with the market portfolio and a standard deviation of 55 percent? C. Suppose the risk-free rate is 4.2 percent and the market portfolıo has an expected return of 10.9 mercent Tibemadkat normfeliobasiabiamance…
For the above shares if the expected inter correlations are given as follows: Investment in RM millions Weight Correlation Petronas 23 ? 0.15(P,M) Maxis 47 ? 0.25(M,B) Berjaya 40 ? 0.35(B,P) d) Compute Weights e) Compute the expected portfolio return and f) Expected portfolio risk g) Portfolio Sharpe ratio
Returns State of Economy Prob J K Recession 0.25 -0.02 0.034 Normal 0.6 0.138 0.062 Boom 0.15 0.218 0.092 Based on the following information, a.What are the covariance and correlation between the returns of the two stocks? b.Calculate the portfolio return and portfolio standard deviation if you invest equally in each asset.
Consider the following simplified APT model: Factor Expected Risk Premium Market 6.4% Interest Rate -0.6% Yield Spread 5.1% Factor Risk Exposures Market Interest Rate Yield Spread Stock Stock(b1) (b2) (b3) P 1.0 -2.0 -0.2 P2 1.2 0 0.3 P3 0.3 0.5 1.0 Required: 1. Calculate the expected return for the above stocks. Assume risk free rate is 5%. Consider a portfolio with equal investments in stocks P, P2 and P3 2.What are the factor risk exposures for the portfolio? 3.What is the portfolio’s expected return?

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