Statistics for Management and Economics (Book Only)
11th Edition
ISBN: 9781337296946
Author: Gerald Keller
Publisher: Cengage Learning
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Question
Chapter 7.3, Problem 84E
(a)
To determine
Calculate expected value and variance of the portfolio of UNH: 0.191, UTX: 0.213, VZ: 0.370, and WMT: 0.226.
(b)
To determine
How this value is explained for best portfolio.
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QUESTION 1
Elizabeth has decided to form a portfolio by putting 30% of her money into stock 1 and 70% into stock 2. She assumes that the expected returns will be 10% and 18%, respectively, and that the standard deviations will be 15% and 24%, respectively.
Compute the standard deviation of the returns on the portfolio assuming that the two stocks' returns are uncorrelated.
17.4%.
27.4%.
7.4%.
11.4%.
QUESTION 2
Elizabeth has decided to form a portfolio by putting 30% of her money into stock 1 and 70% into stock 2. She assumes that the expected returns will be 10% and 18%, respectively, and that the standard deviations will be 15% and 24%, respectively.
Describe what happens to the standard deviation of the portfolio returns when the coefficient of correlation ρ decreases.
The standard deviation of the portfolio returns decreases as the coefficient of correlation decreases.
The standard deviation of the portfolio returns increases as the coefficient…
Suppose the expected return on the tangent portfolio is 12% and its volatility is 30%.The risk-free rate is 3%.(a) What is the equation of the Capital Market Line (CML)?(b) What is the standard deviation of an efficient portfolio whose expected return of16.5%? How would you allocate $3,000 to achieve this position
Consider the expected return and standard deviation of the following two assets:
Asset 1: E[r1]=0.1 and s1=0.2
Asset 2: E[r2]=0.3 and s2=0.4
(a) Draw (e.g. with Excel) the set of achievable portfolios in mean-standard deviation space for the cases: (i) r12=-1, (ii) r12=0.
(b) Suppose r12=-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.
Chapter 7 Solutions
Statistics for Management and Economics (Book Only)
Ch. 7.1 - Prob. 1ECh. 7.1 - Prob. 2ECh. 7.1 - Prob. 3ECh. 7.1 - Prob. 4ECh. 7.1 - Prob. 5ECh. 7.1 - Prob. 6ECh. 7.1 - Prob. 7ECh. 7.1 - Prob. 8ECh. 7.1 - Prob. 9ECh. 7.1 - Prob. 10E
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