Essentials Of Statistics For Business & Economics
9th Edition
ISBN: 9780357045435
Author: David R. Anderson, Dennis J. Sweeney, Thomas A. Williams, Jeffrey D. Camm, James J. Cochran
Publisher: South-Western College Pub
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Textbook Question
Chapter 5.4, Problem 26E
A person is interested in constructing a portfolio. Two stocks are being considered. Let x = percent return for an investment in stock 1, and y = percent return for an investment in stock 2. The expected return and variance for stock 1 are E(x) = 8.45% and Var (x) = 25. The expected return and variance for stock 2 are E(y) = 3.20% and Var (y) = 1. The
- a. What is the standard deviation for an investment in stock 1 and for an investment in stock 2? Using the standard deviation as a measure of risk, which of these stocks is the riskier investment?
- b. What is the expected return and standard deviation, in dollars, for a person who invests $500 in stock 1?
- c. What is the expected percent return and standard deviation for a person who constructs a portfolio by investing 50% in each stock?
- d. What is the expected percent return and standard deviation for a person who constructs a portfolio by investing 70% in stock 1 and 30% in stock 2?
- e. Compute the
correlation coefficient for x and y and comment on the relationship between the returns for the two stocks.
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(a) In each Australian capital city, a large retail chain has several stores, including in Brisbane and Perth. An analysis of the variations in profits from each of these cities indicates that the variance of monthly profits in Brisbane is about 2570(k$)^2 and the variance of monthly profits in Perth is about 1789(k$)^2 . A comparison of the difference in profits between the two cities indicates that the variance of the monthly difference in profits between these cities is about 1253(k$)^2 .
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Chapter 5 Solutions
Essentials Of Statistics For Business & Economics
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