Assume that an economy can have four states: Severe recession, Mild recession, Normal growth, Boom. Probability of each scenario, stock and bond annual returns in that scenario are provided below. Let's also assume that you are creating a portfolio with 65% stocks and 35% bonds. Economy State Severe recession Probability 0.20 Stock Return (%) Bond Return (%) -37 -9 Mild recession 0.30 -11 15 Normal growth 0.40 14 8 Boom 0.10 30 -5 How much is the annual standard deviation of Stock returns? Enter your answer in the following format: 0.1234 Hint: Answer is between 0.1938 and 0.2373

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.4: Expected Value
Problem 2E: If you played the game in Exercise 1 many times, then you would expect your average payoff per game...
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Assume that an economy can have four states: Severe recession, Mild recession, Normal growth, Boom.
Probability of each scenario, stock and bond annual returns in that scenario are provided below.
Let's also assume that you are creating a portfolio with 65% stocks and 35% bonds.
Economy State
Severe recession
Probability
0.20
Stock Return (%) Bond Return (%)
-37
-9
Mild recession
0.30
-11
15
Normal growth
0.40
14
8
Boom
0.10
30
-5
How much is the annual standard deviation of Stock returns?
Enter your answer in the following format: 0.1234
Hint: Answer is between 0.1938 and 0.2373
Transcribed Image Text:Assume that an economy can have four states: Severe recession, Mild recession, Normal growth, Boom. Probability of each scenario, stock and bond annual returns in that scenario are provided below. Let's also assume that you are creating a portfolio with 65% stocks and 35% bonds. Economy State Severe recession Probability 0.20 Stock Return (%) Bond Return (%) -37 -9 Mild recession 0.30 -11 15 Normal growth 0.40 14 8 Boom 0.10 30 -5 How much is the annual standard deviation of Stock returns? Enter your answer in the following format: 0.1234 Hint: Answer is between 0.1938 and 0.2373
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