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The investment fund manager has a total capital of $500 million invested in five stocks: Stock A B C D E Investment ($millions) 160 120

The investment fund manager has a total capital of $500 million invested in five stocks:

Stock A B C D E
Investment ($millions) 160 120 80 80 60
Beta 0.5 2.0 4.0 1.0 3.0

The current risk-free rate is 6%, whereas the likely market returns for the next period is:

Market return (%) 7 9 11 13 15
Probability 0.1 0.2 0.4 0.2 0.1

a.Estimate the security market line (SML) equation,

b.Calculate the funds managers required rate of return for the next period,

c.Would an additional investment of $50 million with expected return of 15% and likely beta of 2.0 be worthwhile to the manager?

d.At what rate of return would the manager be indifferent to purchase the stock as in (c) above?

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