Use the following information to answer questions 3 - 8. The return for two companies, Alpha and Beta, depends on the strength of the economy. Economy Probability Alpha Return Beta Return strong 0.3 12% 5% normal 0.5 6% 8% weak 0.2 2% 10% What is the standard deviation of returns for the portfolio? O 2.25% O 5.575% 6.25% 5% 5% O 8.363% 6%

Investment advisors estimated the stock market returns for four market segments: computers, financial, manufacturing, and pharmaceuticals. Annual return projections vary depending on whether the general economic conditions are improving, stable, or declining. The anticipated annual return percentages for each market segment under each economic condition are as follows: Assume that an individual investor wants to select one market segment for a new investment. A forecast shows improving to declining economic conditions with the following probabilities: improving (0.2), stable (0.5), and declining (0.3). What is the preferred market segment for the investor, and what is the expected return percentage? At a later date, a revised forecast shows a potential for an improvement in economic conditions. New probabilities are as follows: improving (0.4), stable (0.4), and declining (0.2). What is the preferred market segment for the investor based on these new probabilities? What is the expected return percentage?

APT An analyst has modeled the stock of Crisp Trucking using a two-factor APT model. The risk-free rate is 6%, the expected return on the first factor (r1) is 12%, and the expected return on the second factor (r2) is 8%. If bi1 = 0.7 and bi2 = 0.9, what is Crisp’s required return?

There are two assets and two states of the economy.   State of Probability Rate of Return Rate of Return Economy of State of Stock A of Stock B   Recession 0.60 -10% 15% Boom 0.40 30 -5   Suppose you have $30,000 total. If you put $9,000 in Stock A and the remainder in Stock B, what will be the expected return and standard deviation on your portfolio?