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The Hansen ratio in mean--variance portfolio theory

Ale\v{s} \v{C}ern\'y
Authors registered in the RePEc Author Service: Aleš Černý

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Abstract: It is shown that the ratio between the mean and the $L^2$-norm leads to a particularly parsimonious description of the mean-variance efficient frontier and the dual pricing kernel restrictions known as the Hansen-Jagannathan (HJ) bounds. Because this ratio has not appeared in economic theory previously, it seems appropriate to name it the Hansen ratio. The initial treatment of the mean-variance theory via the Hansen ratio is extended in two directions, to monotone mean-variance preferences and to arbitrary Hilbert space setting. A multiperiod example with IID returns is also discussed.

Date: 2020-07
New Economics Papers: this item is included in nep-rmg
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