Plz show the formula step by step. There is the following table shows the probabilities of occurrence of 3 states and the expected rate of returns on stocks A and B State Probability Expected rate of Returns on Stock A Expected rate of Returns on Stock B Boom 0.5 0.25 0.20 Neutral 0.3 0.15 0.10 Recession 0.2 0.05 0.02 (A) Calculate the expected rates of returns and standard deviations of stocks A and B.

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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Plz show the formula step by step.

There is the following table shows the probabilities of occurrence of 3 states and the expected rate of returns on stocks A and B

State  Probability  Expected rate of
Returns on Stock A
Expected rate of
Returns on Stock B 
Boom 0.5 0.25 0.20
Neutral 0.3 0.15 0.10
Recession 0.2 0.05 0.02

(A) Calculate the expected rates of returns and standard deviations of stocks A and B.

 

The colleague has given you his forecasts of stocks C and D as follows:

State Probability Expected rate of
Returns on Stock C
Expected rate of
Returns on Stock D
Boom 0.7 0.40 -0.10
Bust 0.3 -0.05 0.30

She would like to invest 80% of his money in stock C and 20% of her money in stock D to construct a portfolio.
(B) Calculate the portfolio's expected rate of returns and its standard deviation

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