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In a return-standard deviation space, which of the following statements is(are) true for risk-averse investors (The vertical and horizontal lines are referred to as the expected return-axis and the standard deviation-axis, respectively.)
I. An investor's own indifference curves might intersect.
II. Indifference curves have negative slopes.
III. In a set of indifference curves, the highest offers the greatest utility.
IV. Indifference curves of two investors might intersect.
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