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Variance and standard deviation ​(expected). Hull​ Consultants, a famous think tank in the​ Midwest, has provided...

Variance and standard deviation

​(expected).

Hull​ Consultants, a famous think tank in the​ Midwest, has provided probability estimates for the four potential economic states for the coming year. The probability of a boom economy is

10 %​,

the probability of a stable growth economy is

17%,

the probability of a stagnant economy is

55​%,

and the probability of a recession is

18​%.

Calculate the variance and the standard deviation of the three​ investments: stock, corporate​ bond, and government bond. If the estimates for both the probabilities of the economy and the returns in each state of the economy are​ correct, which investment would you​ choose, considering both risk and​ return?  

  

  Investment

Forecasted Returns for Each Economy

Boom

Stable

Growth

Stagnant

Recession

  Stock

30​%

12​%

3​%

−10​%

  Corporate bond

10​%

7​%

6%

4​%

  Government bond

9%

6%

5​%

3​%

​Hint: Make sure to round all intermediate calculations to at least seven​ (7) decimal places. The input​ instructions, phrases in parenthesis after each answer​ box, only apply for the answers you will type.

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