Securities A B C D E 7 Select one: Expected Standard Return (in %) Deviation of with 4.11 15.55 8.12 8.20 12.50 A. 2.50% Correlation 19 36.7 10 Returns (in %) Portfolio 24.5 14 Market 0.56 0.78 0.42 0.99 Beta The standard deviation of the returns on the market portfolio is 15%, and its expected return is 9.5%. The riskless asset has a return of 2.5%. 0.23 1.37 0.52 0.68 0.92 Which of the following results is closest to the unsystematic risk of a portfolio comprised of 60% of security A and 40% of security B given that the correlation between security A and B (P(A,B)) is 0.4?

Securities A B C D E 7 Select one: Expected Standard Return (in %) Deviation of with 4.11 15.55 8.12 8.20 12.50 A. 2.50% Correlation 19 36.7 10 Returns (in %) Portfolio 24.5 14 Market 0.56 0.78 0.42 0.99 Beta The standard deviation of the returns on the market portfolio is 15%, and its expected return is 9.5%. The riskless asset has a return of 2.5%. 0.23 1.37 0.52 0.68 0.92 Which of the following results is closest to the unsystematic risk of a portfolio comprised of 60% of security A and 40% of security B given that the correlation between security A and B (P(A,B)) is 0.4?

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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SECURITY MARKET LINE You are given the following historical data on market returns, r, and the returns on Stocks A and B, r, and r: 8A-2 M' Year 1 29.00% 29.00% 20.00% 2 15.20 15.20 13.10 3 (10.00) (10.00) 0.50 4 3.30 3.30 7.15 23.00 23.00 17.00 6. 31.70 31.70 21.35 The risk-free rate, rp, is 9%. Your probability distribution for r for next year is as follows: M Probability M 0.1 (14%) 0.2 0.4 15 0.2 25 0.1 44 a. Determine graphically the beta coefficients for Stocks A and B. b. Graph the Security Market Line, and give its equation. c. Calculate the required rates of return on Stocks A and B. d. Suppose a new stock, C, with f̟ = 18% and b̟ = 2.0, becomes avail- able. Is this stock in equilibrium; that is, does the required rate of return on Stock C equal its expected return? Explain. If the stock is not in equilibrium, explain how equilibrium will be restored.
Question 1 Refer to the following observations for stock A and the market portfolio in the table:Month Stock A Market portfolio1 0.30 0.122 0.24 0.083 -0.04 -0.104 0.10 -0.025 0.06 0.086 0.10 0.07 a) Calculate the main statistic measures to explain the relationship between stock A and the market portfolio:• The sample covariance between rate of return for the stock A and the market;• The sample Beta factor of stock A;• The sample correlation coefficient between the rates of return of the stock A and the market
SECURITY MARKET LINE You are given the following historical data on market returns, r, and the returns on Stocks A and B, r, and rp: 8A-2 M' A Year 1 29.00% 29.00% 20.00% 2 15.20 15.20 13.10 (10.00) (10.00) 0.50 4 3.30 3.30 7.15 5 23.00 23.00 17.00 31.70 31.70 21.35
Utilizing the information below on 2 recently purchased stocks, compute the risk of the portfolio for the different levels of correlation between the 2 securities: Stock A B Expected Return 0.14 0.17 Std Dev of returns 0.11 0.11 Proportion invested 0.35 0.65 Correlation coefficient 1 0.4 0.1 0 -0.4 -1
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.
In the APT model, what is the nonsystematic standard deviation of an equally-weighted portfolio that has an average value of σ(ei) equal to 20% and 40 securities? A. 0.5% B. 3.16% C. 3.54% D. 12.5% E. 625%
What is the standard deviation of stock A if it has the following probabilities and rate of returns. Probability Return 0.3 -5% 0.4 14% 0.3 11% a. 9.11% b. 9.40% c. 8.62% d. 8.21%
Assume that you are given the following partial covariance and correlation matrices for Securities J, K and the Market. Also assume that the expected risk-free rate for the coming year is 3.0 percent and that the expected risk premium on the market is 7.0 percent. Given this information, determine the required rate of return for Security J for the coming year, using CAPM. J Market Correlation J K Market Covariance J K Market Standard Deviation O 18.48% O 20.20% O 15.48% O 12.71% O 15.04% 0.44 0.86 J 0.014400 J K 0.64 K CAN 0.016900 K 1.00 Market 0.003600 Market
Consider information given in the table below and answers the question asked thereafter: State Probability return on stock A Return on stock B A 0.15 10% 9% B 0.15 6% 15% C 0.10 20% 10% D 0.18 5% -8% E 0.12 -10% 20% F 0.30 8% 5% Calculate covariance and coefficient of correlation between the returns of thestocks A and B.v. Now suppose you have $100,000 to invest and you want to a hold a portfoliocomprising of $45,000 invested in stock A and remaining amount in stock B.Calculate risk and return of your portfolio.
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
Covariance with Mean Return Stock AOL Microsoft Intel AOL .002 .001 15% Microsoft .001 .002 .001 12 Intel 001 .002 10 5.2. Compute the tangency portfolio weights assuming a risk-free asset yields 5 percent.
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…

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