On the intensity of downside risk aversion
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文摘
The degree of downside risk aversion (or equivalently prudence) is so far usually measured by \frac-U¡é¡é¡éU¡é¡é\frac{-U^{\prime \prime \prime }}{U^{\prime \prime }}. We propose here another measure, \fracU¡é¡é¡éU¡é\frac{U^{\prime \prime \prime }}{U^{\prime }}, which has specific and interesting local and global properties. Some of these properties are to a wide extent similar to those of the classical measure of absolute risk aversion, which is not always the case for \frac -U¡é¡é¡éU¡é¡é\frac{ -U^{\prime \prime \prime }}{U^{\prime \prime }}. It also appears that the two measures are not mutually exclusive. Instead, they seem to be rather complementary as shown through an economic application dealing with a simple general equilibrium model of savings.

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