Suppose an individual is able to invest in shares of Sultan plc, in shares of Ahmed plc or in a portfolio made up from Sultan plc and Ahmed plc. Event ( weather for season) Probability of event Pi Returns on Sultan plc Rs Returns on Ahmed plc RA Warm 0.2 20 -10 Average 0.6 15 22 Wet 0.2 10 44   Required: a- Calculate expected return and standard deviation of company Sultan and Ahmed?                                               b- What are the covariance and the correlation coefficient between returns on Sultan plc and returns on Ahmed plc?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Suppose an individual is able to invest in shares of Sultan plc, in shares of Ahmed plc or in a portfolio made up from Sultan plc and Ahmed plc.

Event ( weather for season)

Probability of event

Pi

Returns on Sultan plc

Rs

Returns on Ahmed plc

RA

Warm

0.2

20

-10

Average

0.6

15

22

Wet

0.2

10

44

 

Required:

a- Calculate expected return and standard deviation of company Sultan and Ahmed?                                              
b- What are the covariance and the correlation coefficient between returns on Sultan plc and returns on Ahmed plc?
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