Modern Business Statistics with Microsoft Office Excel (with XLSTAT Education Edition Printed Access Card) (MindTap Course List)
Modern Business Statistics with Microsoft Office Excel (with XLSTAT Education Edition Printed Access Card) (MindTap Course List)
6th Edition
ISBN: 9781337115186
Author: David R. Anderson, Dennis J. Sweeney, Thomas A. Williams, Jeffrey D. Camm, James J. Cochran
Publisher: Cengage Learning
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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 covariance between the returns is σxy = −3.

  1. 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?
  2. b. What is the expected return and standard deviation, in dollars, for a person who invests $500 in stock 1?
  3. c. What is the expected percent return and standard deviation for a person who constructs a portfolio by investing 50% in each stock?
  4. 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?
  5. 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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Chapter 5 Solutions

Modern Business Statistics with Microsoft Office Excel (with XLSTAT Education Edition Printed Access Card) (MindTap Course List)

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