sider two assets with the following characteristics: Expected return of asset 1 = 0.15, Standard deviation of asset 1 = 0.10, portion in asset 1 = 0.5 Expected return of asset 2 = 0.20, Standard deviation of asset 2 = 0.20, Compute the expected return and standard deviation of portfolio if correlation coefficient (r1,2) = 0.40 and (r1,2)= -0.60 b) Why do most investors hold diversified p

sider two assets with the following characteristics: Expected return of asset 1 = 0.15, Standard deviation of asset 1 = 0.10, portion in asset 1 = 0.5 Expected return of asset 2 = 0.20, Standard deviation of asset 2 = 0.20, Compute the expected return and standard deviation of portfolio if correlation coefficient (r1,2) = 0.40 and (r1,2)= -0.60 b) Why do most investors hold diversified p

Corporate Fin Focused Approach

5th Edition

ISBN:9781285660516

Author:EHRHARDT

Publisher:EHRHARDT

Chapter6: Risk And Return

Section: Chapter Questions

Problem 1Q

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Which of the following statements is correct? Select one: a. Assuming a correlation coefficient of 0 between two assets, the portfolio’s standard deviation will be lower than the weighted average of the individual assets’ standard deviation. b. Assuming a correlation coefficient of +1 between two assets, the portfolio’s standard deviation will be lower than the weighted average of the individual assets’ standard deviation. c. Assuming a correlation coefficient of +1 between two assets, the portfolio’s standard deviation will be the same as the weighted average of the individual assets’ standard deviation. d. Both A and C. Clear my choice
Consider the expected return and standard deviation of the following two assets: Asset 1: E[r1]=0.1 and σ1=0.2 Asset 2: E[r2]=0.3 and σ2=0.4 (a) Draw (e.g. with Excel) the set of achievable portfolios in mean-standard deviation space for the cases: (i) ρ12= -1, (ii) ρ12=0. (b) Suppose ρ12=-1. Which portfolio has the minimal variance? What is the variance and expected return of that portfolio? (c) Derive the formula for the variance of a portfolio with four assets.
The expected rate of return of an investment ________. a. equals one of the possible rates of return for that investment b. equals the required rate of return for the investment c. is the mean value of the probability distribution of possible returns d. is the median value of the probability distribution of possible returns e. is the mode value of the probability distribution of possible returns
The expected return of a portfolio is simply the weighted average of the expected returns for the individual assets within the portfolio. Group of answer choices True False
Asset 1 has a standard deviation of returns of 0.15 while Asset 2 has a standard deviation of returns of 0.20. The correlation coefficient between the returns of the two assets is 0.34. Which of the following is closest to the covariance of the returns of the two assets if they are combined into an equally weighted portfolio? Group of answer choices 0.0129 0.0207 0.0102 0.1440
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) = 10% SDA = 8% WA = 0.25 COVAB = 0.006 Select one: A. 13.75% B. 7.72% C. 12.5% D. 8.79% Asset (B) E(RB) = 15% SDB = 9.5% WB = 0.75
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(R₁) = 10% SDA = 8% WA = 0.25 COVAB = 0.006 Asset (B) E(R₂) = 15% SDB = 9.5% WB = 0.75
The probability distributions of expected returns for the assets are shown in the following table: Asset A Prob Return 0.2 -5% 0.4 10% 0.4 15% a) Calculate the expected return for asset A. b) Calculate the standard deviation for asset A.
What role does the correlation what role does the correlation of two assets play in computation of the expected return of the two asset portfolio ?
Given the following probability distribution for assets X and Y, compute the expected rate of return, variance, standard deviation, and coefficient of variation for the two assets. Which asset seems to be a better investment?
The expected value, standard deviation of returns, and coefficient o below.) \table[[Asset A],[Possible Outcomes,Probability,Returns (%)
Consider the following performance data for a portfolio manager: Benchmark Portfolio Index Portfolio Weight Weight Return Return Stocks 0.65 0.7 0.11 0.12 Bonds 0.3 0.25 0.07 0.08 Cash 0.05 0.05 0.03 0.025 a.Calculate the percentage return that can be attributed to the asset allocation decision. b.Calculate the percentage return that can be attributed to the security selection decision.