Question

Consider the following information:    Rate of Return if State Occurs   State of Economy Probability of...

Consider the following information:

  

Rate of Return if State Occurs
  State of Economy Probability of State of Economy Stock A Stock B
  Recession 0.20 0.05 -0.22
  Normal 0.70 0.08 0.13
  Boom 0.10 0.12 0.33

  

Required:
(a)

Calculate the expected return for Stock A. (Do not round your intermediate calculations.)

(Click to select)7.80%

  

(b)

Calculate the expected return for Stock B. (Do not round your intermediate calculations.)

(Click to select)8.00%

  

(c)

Calculate the standard deviation for Stock A. (Do not round your intermediate calculations.)

  

(d)

Calculate the standard deviation for Stock B. (Do not round your intermediate calculations.)

Need the answers to C and D

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Answer #1
Stock A
Scenario Probability Return% =rate of return% * probability Actual return -expected return(A)% (A)^2* probability
Recession 0.2 5 1 -2.8 0.0001568
Normal 0.7 8 5.6 0.2 0.0000028
Boom 0.1 12 1.2 4.2 0.0001764
Expected return %= sum of weighted return = 7.8 Sum=Variance Stock A= 0.00034
C. Standard deviation of Stock A% =(Variance)^(1/2) 1.83
Stock B
Scenario Probability Return% =rate of return% * probability Actual return -expected return(A)% (B)^2* probability
Recession 0.2 -22 -4.4 -30 0.018
Normal 0.7 13 9.1 5 0.00175
Boom 0.1 33 3.3 25 0.00625
Expected return %= sum of weighted return = 8 Sum=Variance Stock B= 0.026
D. Standard deviation of Stock B% =(Variance)^(1/2) 16.12
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