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Risk aversion can be defined either by the negative sign of the second derivative of the utility function or by the rejection of any mean-preserving increase in risk. The more recent notions of prudence and temperance have so far been defined exclusively by the sign of the third and the fourth...
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Since Fishburn and Porter [1976], it has been known that a first- order dominant shift in the distribution of random returns of an asset does not necessarily induce a risk-averse decision maker to increase his holdings of that improved asset. To obtain the desired comparative statics result, one...
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We consider the effects of changes in the distribution of a background risk on the optimal risk taking behaviour of a risk- averse decision maker. In particular, we suppose that the background risk deteriorates via a first- or second-degree stochastic dominance shift. Our contention is that such...
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This paper considers the optimal form of insurance contracts for multiple risks. A well-known result in the literature is that, under fairly general conditions, an insurance policy with a deductible for aggregate losses is optimal. We provide a new proof of this result based only on stochastic...
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