# There are two stocks in the market, stock A and stock B. The price of stock A today is \$75.

There are two stocks in the market, stock A and stock B. The price of stock A today is \$75. The
price of stock A next year will be \$63 if the economy is in a recession, \$83 if the economy is
normal, and \$96 if the economy is expanding. The probabilities of recession, normal times and
expansion are.2, .6, and .2 respectively. Stock A pays no dividends and has a correlation of .8
with the market portfolio. Stock B has an expected return of 13 percent, a standard deviation of
34 percent, a correlation with the market portfolio of .25, and a correlation with stock A of .48.
The market portfolio has a standard deviation of 18 percent. Assume the CAPM holds.
a. If you are a typical, risk averse investor with a well-diversified portfolio, which stock
would you prefer? Why?
b. What are the expected return and standard deviation of a portfolio consisting of 70
percent of stock A and 30 percent of stock B?
c. What is the beta of the portfolio in part (b)?

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