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State of Economy Prob. of State of Economy Rate of Return if State occurs Stock A Stock B Stock C Boom 0.75 0.07 0.15 0.33

State of Economy

Prob. of State of Economy

Rate of Return if State occurs

Stock A

Stock B

Stock C

Boom

0.75

0.07

0.15

0.33

Bust

0.25

0.13

0.03

0.06

- Portfolio expected return:

State

pi

RP,i

pi X RP,i

1

0.75

2

0.25

b. Variance of a portfolio invested 20% each in A and B and 60% in C

- Portfolio expected return for each state:

- Portfolio expected return and variance:

State

pi

RP,i

pi X RP,i

RP,iE(RP)

[RP,iE(RP)]2

pi X [RP,iE(RP)]2

1

2

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