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QUESTION 21 State P(S) Return A Return B Recession 0.3 OX Normal 0.4 13% Boom 0.3 27% What is the expected return of a portfo
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Calculation Of Expected Return of Portfolio

Expected Return of Portfolio = (Expected Return of A * Weight of A) + (Expected Return of B * Weight of B)

Calculation of Expected Return of A

State Probability Return Return * Probability
Recession 0.3 -11% -3.3%
Normal 0.4 13% 5.2%
Boom 0.3 27% 8.1%
Expected Return 10%

Calculation of Expected Return of B

State Probability Return Return * Probability
Recession 0.3 8% 2.4%
Normal 0.4 5% 2%
Boom 0.3 7% 2.1%
Expected Return 6.5%

Given Weight of A = 60% or 0.60

Weight of B = 1 - 0.60 = 0.40

Expected Return of Portfolio = (10% * 0.60) + (6.5% * 0.40)

= 6% + 2.60%

= 8.60%

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