I came up with 18% for the first question but am stuck on the standard devitatio
ID: 2701634 • Letter: I
Question
I came up with 18% for the first question but am stuck on the standard devitation.
Barbara is considering investing in a stock and is aware that the return on that investment is particularly sensitive to how the economy is performing. Her analysis suggests that four states of the economy can affect the return on the investment. Using the table of returns and probabilities below, find
What is the expected return on Barbara%u2019s investment? (Round answer to 3 decimal places, e.g. 0.076.)
What is the standard deviation of the return on Barbara's investment? (Round intermediate calculations and answer to 5 decimal places, e.g. 0.07680.)
Barbara is considering investing in a stock and is aware that the return on that investment is particularly sensitive to how the economy is performing. Her analysis suggests that four states of the economy can affect the return on the investment. Using the table of returns and probabilities below, find
Probability Return Boom 0.6 25.00% Good 0.1 15.00% Level 0.2 10.00% Slump 0.1 -5.00%Explanation / Answer
Expected Return=0.6*0.25 + 0.1*0.15 +0.2*0.1 + 0.1*-0.05=0.18 =18 %
Variance=0.6*(0.25-0.18)^2 + 0.1*(0.15-0.18)^2 + 0.2*(0.1-0.18)^2 + 0.1*(-0.05-0.18)^2
=0.0096
Standard deviation=sqrt(0.0096)=0.09798
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