What is the expected return of a portfolio of two risky assets if the expected return E(Ri), standard deviation (SDi), covariance (COVij), and asset weight (Wi) are as shown below? Asset (A) E(R₂) = 25% SDA = 18% W₁ = 0.75 COVAB = -0.0009 Asset (B) E(R₂) = 15% SD₂ = 11% W₂ = 0.25

What is the expected return of a portfolio of two risky assets if the expected return E(Ri), standard deviation (SDi), covariance (COVij), and asset weight (Wi) are as shown below? Asset (A) E(R₂) = 25% SDA = 18% W₁ = 0.75 COVAB = -0.0009 Asset (B) E(R₂) = 15% SD₂ = 11% W₂ = 0.25

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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2) Calculate the envelope set (frontier) for the following four assets and show that the individual assets all lie within this envelope set. 123456 A B E A FOUR-ASSET PORTFOLIO PROBLEM C Variance-covariance 0.01 0.30 0.06 -0.04 0.10 0.01 0.03 0.05 0.03 0.06 0.40 0.02 D 0.05 -0.04 0.02 0.50 F Mean returns 6% 8% 10% 15%
Assuming that the rates of return associated with a given asset investment are normally distributed; that the expected return, r, is 18.7%; and that the coefficient of variation, CV, is 1.88, answer the following questions: a. Find the standard deviation of returns, sigma Subscript rσr. b. Calculate the range of expected return outcomes associated with the following probabilities of occurrence: (1) 68%, (2) 95%, (3) 99%.
Suppose two asset returns are described by a two factor model, n = 0% + 11 + 1.82 + e1 2 = -1% + 2/1 + 0.52 + e2 where the volatility of first factor is 30%, the volatility of the second factor is 10%, and the correlation between the two factors is 0.5. Suppose also that the volatilities of the error terms ej and ez are both 10%. What is the covariance of n and r2 ? (Nearest 0.0001).
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There are two risky assets and a riskfree asset. The riskfree rate is 0.03. The first risky asset has expected rate of return 0.18 and standard deviation 0.3; the second risky asset 0.09 and 0.2. Their correlation is 0.1. A portfolio on the best feasible CAL has an expected return of 0.12. Then this portfolio's portfolio weight on the first risky asset is 0%. (Enter a percentage number and keep 3 decimal places).
2. The following table gives information on the return and variance of assets A and B, whose covariance is 0.0003: A B 0} 0,0009 0,0012 E (R₂) 0,05 0,06 a. Does the portfolio (1/3 of A and 2/3 of B) dominate the portfolio (2/3 of A and 1/3 of B)? b. Does the portfolio (1/2, 1/2) belong to the efficient frontier? c. If there were the possibility of lending and borrowing at 2%, would the portfolio (1/2, 1/2) belong to the new efficient frontier?
The Capital Asset Pricing Model (CAPM) describes a relationship between the expected return of,,, a)An individual share and its variance risk b)An individual share and its standard deviation risk c)An individual share and its undiversifiable risk d)An individual share and its diversifiable risk
The following provides information regarding Assets X and Y. Calculate the expected rate of return, variance, standard deviation, and coefficient of variation for the two assets. Which asset is a better investment?
Return on a portfolio of two risky assets which are perfectly negatively correlated is equivalent to a. Risk-free rate b. Return on market portfolio c. Zero return d. -1%
Consider following information on a risky portfolio, risk-free asset and the market index. What is the Sharpe ratio of the market index? Risky portfolio Risk-free asset Market index Average return 8.2% 2% 6% Std. Dev. 26% 20% Residual std. dev. 10% Alpha 1.4% Beta 1.2
The Capital Market Line (CML) expresses the risk-return trade-off for a portfolio as follows: E(Rport )=RFR+Oport [(E(Rm)-RFR)/om ] Required: Extend this expression to allow for the evaluation of any individual risky Asset i. Explain the steps in details.

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