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Suppose that Fenner Smith of Problem 2 must divide his portfolio between two assets, one of which gives him an expected rate of return of 15% with zero standard deviation and one of which gives him an expected rate of return of 45% and has a standard deviation of 15. He can alter the expected rate of return and the variance of his portfolio by changing the proportions in which he holds the two assets. If we draw a "budget line" with expected return on the vertical axis and standard deviation on the horizontal axis, depicting the combinations that Smith can obtain, the slope of this budget line is
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