Calculate the expected return and standard deviation for S and T. (i) Calculate the covariance and the correlation coefficient between (ii) the returns on S and the returns on T. (iii) Determine a portfolio expected return and standard deviation if two-thirds of the portfolio is invested in S and one third in T.

Fundamentals of Financial Management (MindTap Course List)
14th Edition
ISBN:9781285867977
Author:Eugene F. Brigham, Joel F. Houston
Publisher:Eugene F. Brigham, Joel F. Houston
Chapter8: Risk And Rates Of Return
Section: Chapter Questions
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Question 4
a) The returns on shares S and T vary depending on the state of
economic growth.
State of the Probability of Returns on S if
economic
Returns on T if
economic state
economy
economic state
state
Occurs
Оccurs
occurring
%
Вoom
0.15
60
16
Growth
0.70
20
15
Recession
0.15
-20
14
Calculate the expected return
for S and T.
(i)
and standard deviation
(ii)
Calculate the covariance and the correlation coefficient between
the returns on S and the returns on T.
(iii) Determine a portfolio expected return and standard deviation if
two-thirds of the portfolio is invested in S and one third in T.
(iv) Explain the meaning and implications of your results in (i), (ii),
(iii). Would you
investors worried
recommend the portfolio in (iii) to
about
the
effects
of
a
recession
on their returns?
See Next Page
Transcribed Image Text:Question 4 a) The returns on shares S and T vary depending on the state of economic growth. State of the Probability of Returns on S if economic Returns on T if economic state economy economic state state Occurs Оccurs occurring % Вoom 0.15 60 16 Growth 0.70 20 15 Recession 0.15 -20 14 Calculate the expected return for S and T. (i) and standard deviation (ii) Calculate the covariance and the correlation coefficient between the returns on S and the returns on T. (iii) Determine a portfolio expected return and standard deviation if two-thirds of the portfolio is invested in S and one third in T. (iv) Explain the meaning and implications of your results in (i), (ii), (iii). Would you investors worried recommend the portfolio in (iii) to about the effects of a recession on their returns? See Next Page
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