Consider the following information on a portfolio of three stocks: State of Economy Probability of State of Economy Stock A Rate of Return Stock B Rate of Return Stock C Rate of Return Boom .13 .02 .32 .50 Normal .55 .10 .22 .20 Bust .32 .16 −.21 −.35 If your portfolio is invested 40 percent each in A and B and 20 percent in C, what is the portfolio’s expected return, the variance, and the standard deviation? Note: Do not round intermediate calculations. Round your variance answer to 5 decimal places, e.g., .16161. Enter your other answers as a percent rounded to 2 decimal places, e.g., 32.16. If the expected T-bill rate is 4.25 percent, what is the expected risk premium on the portfolio? Note: Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter8: Analysis Of Risk And Return
Section: Chapter Questions
Problem 16P
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Problem 11-25 Portfolio Returns and Deviations [LO 1, 2]

Consider the following information on a portfolio of three stocks:

State of Economy Probability of State of Economy Stock A Rate of Return Stock B Rate of Return Stock C Rate of Return
Boom .13 .02 .32 .50
Normal .55 .10 .22 .20
Bust .32 .16 −.21 −.35
  1. If your portfolio is invested 40 percent each in A and B and 20 percent in C, what is the portfolio’s expected return, the variance, and the standard deviation?

    Note: Do not round intermediate calculations. Round your variance answer to 5 decimal places, e.g., .16161. Enter your other answers as a percent rounded to 2 decimal places, e.g., 32.16.

  2. If the expected T-bill rate is 4.25 percent, what is the expected risk premium on the portfolio?

    Note: Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.

 

 
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