Corporate Finance (The Mcgraw-hill/Irwin Series in Finance, Insurance, and Real Estate)
Corporate Finance (The Mcgraw-hill/Irwin Series in Finance, Insurance, and Real Estate)
11th Edition
ISBN: 9780077861759
Author: Stephen A. Ross Franco Modigliani Professor of Financial Economics Professor, Randolph W Westerfield Robert R. Dockson Deans Chair in Bus. Admin., Jeffrey Jaffe, Bradford D Jordan Professor
Publisher: McGraw-Hill Education
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Chapter 11, Problem 38QP

Minimum Variance Portfolio Assume Stocks A and 8 have the following characteristics:

Stock Expected Return(%) Standard Deviation(%)
A 9 33
B 15 62

The covariance between the re turns on the two stocks is .001.

  1. a. Suppose an investor holds a portfolio consisting of only Stock A and Stock B. Find the portfolio weights, XA and XB, such that the variance of her portfolio is minimized.

(Hint: Remember that the sum of the two weights must equal 1.)

  1. b. What is the expected return on the minimum variance portfolio?
  2. c. If the covariance between the returns on the two stocks is –.05, what are the minimum variance weights?
  3. d. What is the variance of the Portfolio in part (c)?
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Chapter 11 Solutions

Corporate Finance (The Mcgraw-hill/Irwin Series in Finance, Insurance, and Real Estate)

Ch. 11 - Determining Portfolio Weights What are the...Ch. 11 - Portfolio Expected Return You own a portfolio that...Ch. 11 - Portfolio Expected Return You own a portfolio that...Ch. 11 - Portfolio Expected Return You have 10,000 to...Ch. 11 - Prob. 5QPCh. 11 - Calculating Returns and Standard Deviations Based...Ch. 11 - Calculating Expected Returns A portfolio is...Ch. 11 - Returns and Standard Deviations Consider the...Ch. 11 - Returns and Standard Deviations Consider the...Ch. 11 - Calculating Portfolio Betas You own a stock...Ch. 11 - Calculating Portfolio Betas You own a portfolio...Ch. 11 - Using CAPM A stock has a beta of 1.15, the...Ch. 11 - Using CAPM A stock has an expected return of 13.4...Ch. 11 - Using CAPM A stock has an expected return of 13.4...Ch. 11 - Using CAPM A stock has an expected return of 11.2...Ch. 11 - Prob. 16QPCh. 11 - Prob. 17QPCh. 11 - Reward-to-Risk Ratios Stock Y has a beta of 1.20...Ch. 11 - Prob. 19QPCh. 11 - Portfolio Returns Using information from the...Ch. 11 - Prob. 21QPCh. 11 - Portfolio Returns and Deviations Consider the...Ch. 11 - Analyzing a Portfolio You want to create a...Ch. 11 - Prob. 24QPCh. 11 - Prob. 25QPCh. 11 - Prob. 26QPCh. 11 - Prob. 27QPCh. 11 - Prob. 28QPCh. 11 - Correlation and Beta You have been provided the...Ch. 11 - CML The market portfolio has an expected return of...Ch. 11 - Beta and CAPM A portfolio that combines the...Ch. 11 - Beta and CAPM Suppose the risk-free rate is 4.7...Ch. 11 - Systematic versus Unsystematic Risk Consider the...Ch. 11 - SML Suppose you observe the following situation:...Ch. 11 - Prob. 35QPCh. 11 - Prob. 36QPCh. 11 - Prob. 37QPCh. 11 - Minimum Variance Portfolio Assume Stocks A and 8...Ch. 11 - Prob. 1MCCh. 11 - Prob. 2MC
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