You are constructing a portfolio of two assets. Asset A has an expected returnof 12 percent and a standard deviation of 24 percent. Asset B has anexpected return of 18 percent and a standard deviation of 54 percent. Thecorrelation between the two assets is 0.20 and the risk-free rate is 4 percent.What is the weight of each asset in the portfolio of the two assets that has thelargest possible Sharpe ratio? (Do not round intermediate calculations. Enteryour weights as a percent rounded to 2 decimal places. Round the Sharperatio to 4 decimal places.)Weight of Asset AWeight of Asset BSharpe ratio%%

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Answered: You are constructing a portfolio of two…

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 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.
Assume that we have three assets. The first one has expected return μ1 = 10% and standard deviation of return equal to σ1 = 0.14. The second has expected return μ2 = 20% and standard deviation of return equal to σ2 = 0.2. The third asset has expected return μ3 = 15%. We would like to determine the range of the standard deviation of the third asset so that non of the asset dominates another. This range is an interval with a lower bound a and an upper bound b. What equals the lower bound a of the interval? Please insert your result with two decimals.
ou have gathered the following information about two Assets: 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%
Consider two assets. Suppose that the return on asset 1 has expected value 0.05 and standard deviation 0.1 and suppose that the return on asset 2 has expected value 0.02 and standard deviation 0.05. Suppose that the asset returns have correlation 0.4.Consider a portfolio placing weight w on asset 1 and weight 1-w on asset 2; let Rp denote the return on the portfolio. Find the mean and variance of Rp as a function of w.
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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(RA) = 25% SDA = 18% WA = 0.75 COVAB= -0.0009 Asset (B) E(R₂) = 15% SDB = 11% W₁ = 0.25
Asset A has a standard deviation of 0.17, and asset B has a standard deviation of 0.52. Assets A and B have a correlation coefficient of 0.44. What is the standard deviation of a portfolio consisting with a weight of 0.40 in asset A, a weight of 0.24 in asset B, and the remainder invested in a risk-free asset? Give your answer to four decimal places.
Suppose you are considering investing your entire portfolio in three assets A, B and C. You expect that after you invest, four possible mutually exclusive scenarios will occur, with associated returns (in %) for each of the three assets as listed below. The probability of each scenario is given below (Attached image). Find the expected returns and standard deviations of Asset A, B & C. (HINT: the expected return is given by the probability-weighted sum of returns in each scenario. The expected standard deviation is given by the square root of the probability-weighted sum of squared deviations from the expected return.) Is there any reason to invest in Asset A given its low expected return and high standard deviation?
Consider two different assets. Asset A has a mean expected return of 6% with a standard deviation of 22%. Asset B has a standard deviation of returns of 32%. What should be the mean expected return on asset B for a rational investor to be indifferent about these two investments? Answer only if you are 100% sure, other wise i will report your answer.
You are given the following data about Asset A and Asset B. Asset A Asset B Expected returns 8.6% 7.9% Standard Deviation 3.8% 4.6% Assuming that an investor is to choose between Asset A or Asset B, explain which asset a rational investor will choose. c) With the use of a diagram, explain why an investor will always choose a point on the SML line.
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

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