Suppose that the S&P 500, with a beta of 1.0, has an expected return of 13% and T-bills provide a risk-free return of 4%.a. What would be the expected return and beta of portfolios constructed from these two assets with weights in the S&P 500 of(1) 0; (2) 0.25; (3) 0.50; (4) 0.75; (5) 1.0?Note: Leave no cells blank - be certain to enter "O" wherever required. Do not round intermediate calculations. Enter thevalue of Expected return as a percentage rounded to 2 decimal places and value of Beta rounded to 2 decimal places.× Answer is complete but not entirely correct.Expected ReturnBeta(1) 04.00%0.00(2) 0.259.75 %0.25(3) 0.5015.50%0.50(4) 0.75(5) 1.021.25 %0.7527.00%1.00b. How does the expected return vary with beta?Note: Do not round intermediate calculations.> Answer is complete but not entirely correct.by 23 % for a one unit increase in beta.The expected returnincreases

The problem involves the determination of the expected return and the beta. Expected return refers…

Answered: Suppose that the S&P 500, with a beta…

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 a single-index model economy. The index portfolio M has E(RM ) = 6%, σM = 18%.An individual asset i has an estimate of βi = 1.1 and σ2ei = 0.0225 using the single index modelRi = αi + βiRM + ei. The forecast of asset i’s return is E(ri) = 12%. rf = 4%. a) According to asset i’s return forecast, calculate αi. (b) Calculate the optimal weight of combining asset i and the index portfolio M . (c) Calculate the Sharpe ratio of the index portfolio M and the portfolio optimally combiningasset i and the index portfolio M .
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Suppose the risk-free rate is 5%. The expected return and standard deviation of a risky asset are 10% and 20%, respectively. a. What is the slope of the capital allocation line (CAL) constructed using the risk-free asset and the risky asset? A. 0.30 B. 0.15 C. 0.25 D. 0.20 b. If an investor has a risk aversion coefficient of A=2, what is the optimal fraction of the money that she invests in the risky asset? A. 62.5% B. 42.5% C. 30% D. 20% c. If an investor invest 25% of her money in the risky asset, which is the investor’s risk aversion coefficient? a. 5 b. 1 c. 3 d. 4
The risk-free rate and the expected market return are 5% and 12%, respectively. According to the capital asset pricing model (CAPM), the expected rate of return on security X with a beta of 2 is equal to: a 19% b 29% c 12% d 10% e 15%
Suppose there is a risk-free asset whose return is 2% and that the market portfolio has an expected return of 10%. The standard deviation of the market portfolio is given 25%.(a) Find the security market line.(b) Suppose there is an asset whose covariance with the market is given by 450%^2. Find its equilibrium price according to CAPM.
Suppose the CAPM is true. Consider two assets, X and Y, and the market M. Suppose cov(X,M) = .3, cov(Y,M) = .5. %3D (a) Is the expected return higher on X or Y? (b) Suppose var(M) = 1.5, what are the betas of X and Y? (c) Suppose the expected market return is 20% and the risk free rate is 5%, what is the expected returns of X and Y?. (d) Given your analysis in (a)-(c), what type of investor would prefer asset X to asset Y?
Suppose the risk-free rate is 6 percent and the market portfolio has an expected return of 12 percent. The market portfolio has a standard deviation of 7 percent. Portfolio Z has a correlation coefficient with the market of 0.35 and standard deviation of 6 percent. According to the capital asset pricing model, what is the expected return on portfolio Z a. 12.6 percent b. 7.8 percent c. 9.87 percent d. 12.05 percent
Portfolio theory with two assets E(R1)=0.15 E(01)= 0.10 W1=0.5 E(R2)=0.20 E(02) = 0.20 W2=0.5 Calculate the expected return and the standard deviation of the two portfolios if r1,2 = 0.4 and -0.60 respectively.
a) Suppose the risk-free rate is `X'% and the expected rate of return on the market portfolio is 10%. In your view, the expected rate of return of a security is 12.2%. Given that this security has a beta of 1.4, do you consider it to be overpriced, under-priced or fairly priced according to the Capital Asset Pricing Model? Please provide the details of your calculations and discuss your results. b) Using a graph, explain when a security is overpriced, under-priced or fairly priced according to the Capital Asset Pricing Model. Plot your answer from (a) onto this graph.
Consider the information given in the Table 2A and complete Table 2B. From the completed Table 2B, use the information to grpahically present the Security Market Line (SML). Compute the slope of this line.Hints: i) When 100% money is invested in asset X (portfolio weight = 1), the beta of the portfolio is 0.85ii) Since the risk-free asset is, well, risk-free, its beta will be zero
8. Assume the risk-free rate is 6.7% and the expected return on the market portfolio is 7.8%. Use the capital asset pricing model (CAPM) to find the required return for each of the securities in the table here, 7. Review On Click the icon to see the Worked Solution. The required return for investment A is %. (Round to one decimal place.) The required return for investment B is %. (Round to one decimal place.) The required return for investment C is %. (Round to one decimal place.) The required return for investment D is %. (Round to one decimal place.) The required return for investment E is %. (Round to one decimal place.) 7: Data Table (Click on the icon here in order to copy its contents of the data table below into a spreadsheet.) Security Beta A 1.34 в 0.93 0.13 0.96 E 0.67
4. Suppose that there are 2 assets with ri 012 = 0.005. = 0.20, 01 = = 0.40, 2 = 0.10, 02 = 0.25 and (a) If ro = 0.02, what are the market portfolio return and variance? What are the corre- sponding weights (i.e. how much to invest in asset 1, asset 2, and the risk-free asset to get the market portfolio)? Answer. (b) If ro 0.05, what are the market portfolio return and variance? What are the corre- sponding weights? Answer.

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