Assume we live in a world where there exist only two risky assets and a risk-free asset with a return of 2%. You are given the following information:Risky AssetMarket CapE(r)В02 (variance)AB($Mil)6617.59%0.91240.043399.17%1.1697.0.09OAB (covariance)0.0151) What would be the expected return on the market portfolio? (hint: how is the market portfolio weighted?)2) What is the covariance between Risky Asset A and the market portfolio (i.c. σA,M)? (covariance "FOIL"...? Actually more than one way to solve for this)3) What is the variance of the market portfolio?4) What is the systematic risk component of Stock A's total variance? (hint: not systematic risk in terms of Beta, but systematic risk in terms of variance)Multiple ChoiceО1) 0.07592) 0.040433) 0.034564) 0.047281) 0.08132) 0.040433) 0.03015

Step 1: Expected return on the market portfolio:The market portfolio is a portfolio that contains…

Answered: Assume we live in a world where there…

Intermediate Financial Management (MindTap Course List)

13th Edition

ISBN:9781337395083

Author:Eugene F. Brigham, Phillip R. Daves

Publisher:Eugene F. Brigham, Phillip R. Daves

Chapter3: Risk And Return: Part Ii

Section: Chapter Questions

Problem 2P: APT An analyst has modeled the stock of Crisp Trucking using a two-factor APT model. The risk-free...

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Suppose you observe the following situation:Security Beta Expected ReturnDiamond Co 1.3 0.2Spade Co 0.8 0.14 (a) According to the above information, could we figure out the market return and risk-free rate? Explain your answer. (b) Discuss the possibility of including zero beta or negative beta assets in your portfolio. Explain the pros and cons of including these types of assets.
We believe that the single factor model can predict any individual asset’s realized rate of return well. Both Portfolio A and Portfolio B are well-diversified: ri = E(ri) + βiF + Ei, where E(ei) = 0 and Cov(F, i) = 0 A B β 1.2 0.8 E(r) 0.1 0.08 (1) What is the rate of return of the risk-free asset? (2) What is the expected rate of return of the well-diversified portfolio C with βC = 1.6, which also exists in the market? (3) A fund constructs a well-diversified portfolio D. Studies show that βD = 0.6. The expected rate of return of D is 0.06. Is there an arbitrage opportunity? If so, construct a trading strategy to earn profits with no risk. If not, why?
Consider an economy with a (net) risk-free return r1 = 0:1 and a market portfolio with normally distributed return, with ErM = 0:2 and 2M = 0:02. Suppose investor A has CARA preferences, with risk aversion coe¢ cient equal to 1 and an endowment of 10. a) Write down the maximization problem for the investor. b) Determine the amount invested in the risky portfolio and in the risk-free asset. c) Suppose another investor (B) has a coe¢ cient of absolute risk aversion equal to 2 (and the same endowment 10). Compute his optimal portfolio and compare it to that of investor A. Explain the di§erent results for investors A and B. d) Finally, consider Investor C with mean-variance preferences Ec V ar(c) (and endowment 10). Compute his optimal portfolio and compare it to that of investors A and B (as obtained in questions b and c). Compare your result with those obtained for investors A and B.
A single mispriced asset has an alpha a = 3.0%, a beta ẞ = 1, and unsystematic risk σ² = 9%. The market risk premium is 5.0% and the market's standard deviation is 0.1. What is the information ratio of the mispriced asset? In constructing an optimal allocation between this mispriced asset and the market portfolio, what proportion of your investment would you place in the mispriced asset? Oa. 0.1; 6.67% O b. 0.33; 6.67% O c. 0.33; 6.90% O d. 0.1; 66.67% O e. 0.1; 6.90%
The CAPM states that the expected (required) return on an asset is : E(Ri)=Rf+βi[E(RM)−Rf] where the term in square brackets is the risk-premium earned by the market portfolio. Therefore, the beta of the market portfolio (βM) must be equal to __________ . A) zero B) 0.5 C) 1.0 D) an unknown estimate
You are given the following Information concerning three portfolios, the market portfollo, and the risk-free asset: Portfolio X Y Z Market Risk-free Rp 14.10% 13.10 8.50 12.00 7.20 Information ratio op 39.00% 34.00 1.15 0.90 1.00 0 Assume that the tracking error of Portfolio X is 8.90 percent. What is the information ratio for Portfolio X? Note: A negative value should be indicated by a minus sign. Do not round Intermediate calculations. Round your answer to 4 decimal places. 6p 1.50 24.00 29.00 0
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.
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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
Calculate the required rate of return for an asset that has a beta of 1.01, given a risk-free rate of %3.4 and a market return of %9.1 . b. If investors have become more risk-averse due to recent geopolitical events, and the market return rises to %11.6, what is the required rate of return for the same asset? a. The required rate of return for the asset is enter your response here%. (Round to two decimal places.) Part 2 b. If investors have become more risk-averse due to recent geopolitical events, and the market return rises to 11.6%, the required rate of return for the same asset is enter your response here%. (Round to two decimal places.)
Consider a world with only two risky assets, A and B, and a risk-free asset. The two riskyassets are in equal supply in the market, i.e., the market portfolio M = 0.5A + 0.5B. Itis known that R¯M = 11%, σA = 20%, σB = 40% and ρAB = 0.75. The risk-free rate is2%. Assume CAPM holds.(a) What is the beta for each stock?(b) What are the values for R¯A and R¯B?
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