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SECURITY MARKET LINE

You plan to invest in the Kish Hedge Fund, which has total capital of $500 million invested in five stocks:

Stock Investment Stock's Beta Coefficient
A $160 million 0.8
B 120 million 2.4
C 80 million 4.3
D 80 million 1.0
E 60 million 3.6

Kish's beta coefficient can be found as a weighted average of its stocks' betas. The risk-free rate is 4%, and you believe the following probability distribution for future market returns is realistic:

Probability Market Return
0.1 (5%)
0.2 9
0.4 11
0.2 13
0.1 15
  1. What is the equation for the Security Market Line (SML)? (Hint: First determine the expected market return.)
    1. ri = 1.6% + (6.9%)bi
    2. ri = 4.0% + (6.3%)bi
    3. ri = 7.0% + (5.8%)bi
    4. ri = 7.0% + (6.3%)bi
    5. ri = 4.0% + (5.8%)bi
    -Select-IIIIIIIVVItem 1
  2. Calculate Kish's required rate of return. Do not round intermediate calculations. Round your answer to two decimal places. %
  3. Suppose Rick Kish, the president, receives a proposal from a company seeking new capital. The amount needed to take a position in the stock is $50 million, it has an expected return of 15%, and its estimated beta is 1.4. Should Kish invest in the new company? The new stock -Select-should notshouldItem 3 be purchased. At what expected rate of return should Kish be indifferent to purchasing the stock? Round your answer to two decimal places. %

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