Here are the estimated ROE distributions for Firms A, B, and C:   Probability   0.1 0.2 0.4 0.2 0.1 Firm A: ROEA 0.0% 5.0% 10.0% 15.0% 20.0% Firm B: ROEB (2.0) 5.0 12.0 19.0 26.0 Firm C: ROEC (5.0) 5.0 15.0 25.0 35.0   Calculate the expected value and standard deviation for Firm C’s ROE. ROEA =10.0%, σA =5.5%; ROEB =12.0%, σB =7.7%. Discuss the relative riskiness of the three firms’ returns. (Assume that these distributions are expected to remain constant over time.) Now suppose all three firms have the same standard deviation of basic earning power (EBIT/Total Assets), σA = σB = σC =5.5%. What can we tell about the financial risk of each firm?

Financial Management: Theory & Practice
16th Edition
ISBN:9781337909730
Author:Brigham
Publisher:Brigham
Chapter25: Portfolio Theory And Asset Pricing Models
Section: Chapter Questions
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  1. Here are the estimated ROE distributions for Firms A, B, and C:

 

Probability

 

0.1

0.2

0.4

0.2

0.1

Firm A: ROEA

0.0%

5.0%

10.0%

15.0%

20.0%

Firm B: ROEB

(2.0)

5.0

12.0

19.0

26.0

Firm C: ROEC

(5.0)

5.0

15.0

25.0

35.0

 

  1. Calculate the expected value and standard deviation for Firm C’s ROE. ROEA =10.0%, σA =5.5%; ROEB =12.0%, σB =7.7%.
  2. Discuss the relative riskiness of the three firms’ returns. (Assume that these distributions are expected to remain constant over time.)
  3. Now suppose all three firms have the same standard deviation of basic earning power (EBIT/Total Assets), σA = σB = σC =5.5%. What can we tell about the financial risk of each firm?
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