An analyst has predicted the following returns for Stock A and Stock B in three possible states of the economy. Probability 0.3 0.5 State A В Вoom Normal 0.25 0.20 0.15 0.10 Recession 0.02 0.01 a. What is the probability of a recession? (Round your answer to 2 decimal places.) Probability b. Calculate the expected return for Stock A and Stock B. (Round your answers to 1 decimal place.) Expected Return Stocks A Stocks B % c. Calculate the expected return for a portfolio that is invested 55% in A and 45% in B. (Round your answer to 2 decimal places.) Expected return %

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 68E
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An analyst has predicted the following returns for Stock A and Stock B in three possible states of the economy.
Probability
0.3
State
A
В
Boom
0.15
0.25
0.10
0.02
0.20
0.01
Normal
0.5
Recession
a. What is the probability of a recession? (Round your answer to 2 decimal places.)
Probability
b. Calculate the expected return for Stock A and Stock B. (Round your answers to 1 decimal place.)
Expected Return
Stocks A
%
Stocks B
%
c. Calculate the expected return for a portfolio that is invested 55% in A and 45% in B. (Round your answer to 2 decimal places.)
Expected return
%
Transcribed Image Text:An analyst has predicted the following returns for Stock A and Stock B in three possible states of the economy. Probability 0.3 State A В Boom 0.15 0.25 0.10 0.02 0.20 0.01 Normal 0.5 Recession a. What is the probability of a recession? (Round your answer to 2 decimal places.) Probability b. Calculate the expected return for Stock A and Stock B. (Round your answers to 1 decimal place.) Expected Return Stocks A % Stocks B % c. Calculate the expected return for a portfolio that is invested 55% in A and 45% in B. (Round your answer to 2 decimal places.) Expected return %
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