1. Consider the following states of outcomes, probabilities, and expected returns on only stocks three stocks in your portfolio; X, Y, and Z. State Probability X Y Boom 0.15 16% 10% 22% Semi-Boom ?? 14% 8% 18% Normal 0.50 10% 6% 14% Mild-Recession 0.10 5% 4% -10% Full-Recession 0.10 -3% 2% -12% a. What is the expected return of the portfolio if $25,000 is invested in X, $35,000 in Y, and $30,000 invested in stock Z? b. What are the standard deviations of stocks X, Y, and Z?

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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1. Consider the following states of outcomes,
probabilities, and expected returns on only stocks
three stocks in your portfolio; X, Y, and Z.
State
Probability X
Y
Boom
0.15
16%
10%
22%
Semi-Boom
??
14%
8%
18%
Normal
0.50
10%
6%
14%
Mild-Recession
0.10
5%
4%
-10%
Full-Recession
0.10
-3%
2%
-12%
a. What is the expected return of the portfolio if $25,000
is invested in X, $35,000 in Y, and $30,000 invested in
stock Z?
b. What are the standard deviations of stocks X, Y, and Z?
Transcribed Image Text:1. Consider the following states of outcomes, probabilities, and expected returns on only stocks three stocks in your portfolio; X, Y, and Z. State Probability X Y Boom 0.15 16% 10% 22% Semi-Boom ?? 14% 8% 18% Normal 0.50 10% 6% 14% Mild-Recession 0.10 5% 4% -10% Full-Recession 0.10 -3% 2% -12% a. What is the expected return of the portfolio if $25,000 is invested in X, $35,000 in Y, and $30,000 invested in stock Z? b. What are the standard deviations of stocks X, Y, and Z?
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