An analyst has estimated how a particular stocks return will vary depending on what will happen to the economy. If a Recession economy occurs (.1 probability), expected return is -60%. If a Below Average economy occurs (.2 probability), expected return is -10%. If an Average economy occurs (.4 probability), expected return is 15%. If an Above Average economy occurs (.2 probability), expected return is 40%. If a Boom economy occurs (.1 probability), expected return is 70%. What is the expected return and standard deviation on the companys stock?

Calculate the return and standard deviation for the following stock, in an economy with five possible states. If a Boom (Probability=25%) economy occurs, then the expected return is 50%. If a Good (Probability=25%) economy occurs, then the expected return is 25%. If a Normal (Probability=20%) economy occurs, then the expected return is 15%. If a Bad (Probability=20%) economy occurs, then the expected return is 0%. If a Recession (Probability=10%) economy occurs, then the expected return is -18%. Show your work for partial credit.