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Calculate expected rate of return and standard deviation

Assignment:

I need your help finding the answers to these questions with the following data:

Considering the following Scenario Analysis:

RATE OF RETURN

Scenerio Probability Stocks Bonds

Recession .20 -5% +14%

Normal economy .60 +15 +8

Boom .20 +25 +4

1) Is it reasonable to assume that Treasury Bonds will provide higher returns in recessions than in booms?

2) How do I calculate the expected rate of return and standard deviation for each investment?

3) Which investment would you prefer?

Can you help me with the meaning of abbreviations and formulas if used and a brief description on each of the above questions.

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