Executives at XYZ Corporation realize that they have too much liquid assets. They want to use this cash to buy a company that has decent returns to maximize their asset utilization. They find two companies they can buy, and want to decide if they should acquire company A or Company B. The expected returns from both companies depending on the state of the economy are shown in the table below. Each state of the economy is equally likely to happen.
State of the economy
Return on company A(%)
Return on company B (%)
Worse than expected
7.3%
-4.7%
Expected
11.5%
5.4%
Better than expected
16.6%
24.3%
Calculate the expected rate of return, and standard deviation of each company. [Note: you are supposed to show every step of your calculation and interpret the result.] without using excel
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