Kate recently invested in real estate with the intention of selling the property one year from today. She has modeled the returns on that investment based on three economic scenarios. She believes that if the economy stays healthy, then her investment will generate a 30 percent return. However, if the economy softens, as predicted, the return will be 10 percent, while the return will be -25 percent if the economy slips into a recession. If the probabilities of the healthy, soft, and recessionary states are 0.6, 0.3, and 0.1, respectively, then what are the expected return and the standard deviation of the return on Kates investment?

Expected Return -

Standard Dev -

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	0.1	25.00%
Good	0.2	15.00%
Level	0.1	10.00%
Slump	0.6	-5.00%

Expected Return -

Standard Dev -